Solving the provide question, we can say that frequency distribution 70 years or older is 0.1333, 4/30, or 13.3% younger than 40 years old is 8/30, 0.2666, or 0.4000. (there are 12 under 50 out of 30 altogether).
what is frequency distribution?In order to make the information easier to understand, frequencies are organized into frequency distributions, which are visual displays. The frequencies displayed in a frequency distribution can be absolute or relative, like ratios or percentages. Both a graph and a table of frequencies can be used to represent a frequency distribution. Both the exact number of observations and the proportion of observations falling within each range can be displayed in a frequency distribution.
Here,
A relative frequency distribution is the name given to the distribution in the latter scenario. The frequency of an observation is the frequency with which it appears in the data.
The frequency of the number 9 in the following list of numbers, for instance, is 5. (because it occurs 5 times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9,
70 years or older is 0.1333, 4/30, or 13.3% younger than 40 years old is 8/30, 0.2666, or 0.4000. (there are 12 under 50 out of 30 altogether).
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The complete question is "The following data represents the age of 30 lottery winners .Given the frequency distribution for the data,
Each column (left to right) is as follows: Age, Frequency, Relative Frequency, Cumulative Relative Frequency
[20,29] 1 0.0333 0.0333
[30,39] 7 0.2333 0.2666
[40,49] 4 0.1333 0.3999
[50,59] 5 0.1667 0.5666
[60,69] 9 0.3 0.8666
[70,79] 3 0.1 0.9666
[80,89] 1 0.0333 0.9999
What is the frequency of lottery winners of age between 19 and 40?
"
Pls answer soon !!!!!!!!!
The required solution of the given simultaneous equation is x = 5 and y = -9.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
Given a system of equations,
6x + 5y = -15 - - - - -(1)
-4x - y = -11 - - - - (2)
Multiply equation 1 by 1 and multiply equaiton 2 by 5 then add both the equation,
6x + 5y -20x -5y = -15 -55
-14x = -70
x = 5
Now,
-4(5) - y = -11
-20 - y = -11
-y = -11 +20
y = -9
Thus, the required solution of the given simultaneous equation is x = 5 and y = -9.
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Which expressions(s) is equivalent to
(7^2)^5 • 7^4?
A. 7^2•^5+^4
B. 7^3(^5+^4)
C. 7^2+^5+^4
D. 7^2+^5•7^4
(7²)⁵ * 7⁴ is equal to the expression 7²ˣ⁵ ⁺ ⁴.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression (7²)⁵ * 7⁴
Since as per the rule of power we can add the power is base is same and also there is a rule if Power is the power of another power they will be multiplied
From the second rule
(7²)⁵ * 7⁴ = 7²ˣ⁵ * 7⁴
From the first rule of power
7²ˣ⁵ * 7⁴ = 7²ˣ⁵ ⁺ ⁴
therefore, (7²)⁵ * 7⁴ is equal to the expression 7²ˣ⁵ ⁺ ⁴.
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what is the procedure for completing the square to find the center and radius of a circle?
By completing squares in both the variables and try to get the general equation of the form:
(x - a)^2 + (y - b)^2 = R^2
How is the procedure to identify the center and radius of the circle?A general circle equation for a circle whose center is (a, b) and the radius is R, is:
(x - a)^2 + (y - b)^2 = R^2
So, if we have an equation like:
x^2 + cx + d + y^2 + h*y + l = m
We just need to complete squares in both x and y, such that we end with an equation of the form of:
(x - a)^2 + (y - b)^2 = R^2
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evaluate the double integral_d (x^2 + 2y) dA, D is bounded by y = x, y = x^3, x ≥ 0
After evaluating the double integral, the result, 0.27, is determined by the stated statement.
What is the definition of an integral?In mathematics, an integral is either a number representing the region beneath a function's graph over a certain interval or maybe a new function, the inverse of which comprises the original result (indefinite integral). The value produced after integrates or adding the words of a function that is split into an unending number of terms is referred to as an integral value in general.
The double integral is an example.
[tex]\iint_D\left(x^2+2 y\right) d A[/tex] where d is enclosed by the lines y = x & y = x³.
In the region D, x varies from 0 to 1, and y varies from y = x³ to y = x
[tex]\therefore \iint_D\left(x^2+2 y\right) d A=\int_{x=0}^1 \int_{y=x^3}^x\left(x^2+2 y\right) d y d x[/tex]
[tex]=\int_{x=0}^1\left[x^2 y+y^2\right]_{x^3}^x d x[/tex]
[tex]=\int_{x=0}^1\left[x^2\left(x-x^3\right)+\left[x^2-\left(x^3\right)^2\right]\right] d x=\int_{x=0}^1\left[x^3-x^5+x^2-x^6\right] d x[/tex]
[tex]\left.=\frac{x^4}{4}-\frac{x^6}{6}+\frac{x^3}{3}-\frac{x^7}{7}\right]_0^1[/tex]
= [tex]\frac{1}{4}-\frac{1}{6}+\frac{1}{3}-\frac{1}{7}[/tex]
= 23/84
= 0.27
[tex]\therefore \iint_D\left(x^2+2 y\right) d A=0.27[/tex]
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a peer-reviewed (sometimes called refereed) journal article group of answer choices a) has been written by someone with a ph.d. b) is one that has found significant statistical results c) is one for which the author has been paid d) has been evaluated before publication by other researchers in the same field
Peer-reviewed (refereed or scholarly) journals: Before an article is published in a journal, it is examined by a number of other experts in the subject to guarantee that it is of a high caliber. (The paper is more likely to be valid from a scientific standpoint, draw fair conclusions, etc.)
Peer review is conducted on publications in refereed journals.Peer review has been conducted on the publications in a refereed journal. The papers were evaluated for quality by reputable academics or subject-matter experts before being approved for publication, so this tells us that they are of a high caliber. Also known as "scholarly" or "peer-reviewed," these pieces are published in journals.
5 Essential Qualities of writting JournalsAuthors having affiliations or credentials, such as a PhD (e.g. university professor)a particular emphasis on providing fresh, original research in a given field of study (often indicated through a long title)With complicated concepts and arguments, an impartial tone, and an analytical perspective, technical and formal languagematerial that is lengthy (at least 5 pages) and contains a lot of citations and referencesa simple look with barely any color, graphics, or photographs
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olve the differential equation by variation of parameters. Y" + y = sin?(x) y(x) =
The provided statement indicates that the differential equation's solution will be y = c₁ + c₂ e⁻ˣ - 1/2 cos x
With examples, define differential equation:Equations with General Differential. Consider the differential equation y′=3x2, which has a derivative and is an illustration of a differential equation. The variable x and y are related because y is an unidentified function of x. The component of y is also on the equation's left-hand side.
The analytical solution is, given that.
⇒ y'' + y = sin x
Now,
The system of equations as follows:
The difference between these two is,
⇒ y'' + y = sin x
Find its auxiliary equation as;
⇒ m² + m = 0
⇒ m (m + 1) = 0
⇒ m = 0 or m = - 1
Therefore, the auxiliary equation is c1 e0 + c2 ex.
= c₁ + c₂ e⁻ˣ
And, Particular integral = 1/(D² + D) (sin x)
= 1/2D (sin x)
= 1/2 (- cos x)
= - 1/2 cos x
Consequently, the differential equation's solution will be;
⇒ y = A.E + P.I
⇒ y = c1 + c2 e x - cos x / 2
As a result, the differential equation's solution is;
⇒ y = c1 + c2 e x - cos x / 2
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The complete question is-
Solve the differential equation by variation of parameters.
y'' + y = sin x
find the ehgiht and radius of the largest right circular cylinder that can be put into a sphere of radius sqrt3
The height is 2 and radius is √2 of the largest right circular cylinder that can be put into a sphere of radius √3.
What is circular cylinder?A cylinder whose bases are circular in shape and parallel to each other is called the right circular cylinder. It is a three-dimensional shape.
Given that the radius of a sphere R = √3
Let the radius of the cylinder is r and the height of the cylinder is h.
than.
r² = R² − h²/4
and Vc = πr²h
⇒ Vc = π(R² − h²/4)h
⇒ Vc = πR²h − πh³/4
dVc/dh = πR² − 3πh²/4
(dVc/dh)R=√3 = 3π − 3πh²/4
For maximum or minimum volume,
dVc/dh = 0
⇒ 3π − 3πh²/4 = 0
⇒ 3πh²/4 = 3π
⇒ 3πh² = 3π*4
⇒ h² = 4
⇒ h=2
Also, dVc/dh changes sign from positive to negative in the neighborhood of h=2. Hence, h=2 is a maximum point.
r² = R² − h²/4
⇒ r² = (√3)² - 2²/4
⇒ r² = 3 - 1
⇒ r² = 2
⇒ r = √2
So, the height is 2 and radius is √2 of the largest right circular cylinder
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Let $f$ and $g$ be functions defined on a domain $A$. Prove that if $f$ is bounded, and $\displaystyle\lim_{x \rightarrow c} g(x)
If [tex]$f$[/tex]is bounded and [tex]$\displaystyle\lim_{x \rightarrow c} g(x)$[/tex] exists, then the limit of function[tex]$f(x)g(x)$[/tex]as [tex]$x$[/tex] approaches domain[tex]$c$[/tex]also exists and is equal to [tex]$Lf(c)$[/tex]
Let [tex]$M$[/tex]be an upper bound of [tex]$f$[/tex] on the domain . Since [tex]$\displaystyle\lim_{x \rightarrow c} g(x)$[/tex] exists, there exists a number [tex]$L$[/tex] such that for all [tex]$\epsilon > 0$[/tex] there exists a [tex]$\delta > 0$[/tex] such that for [tex]$x \in A$[/tex] with [tex]$0 < |x - c| < \delta |g(x) - L| < \epsilon[/tex].
Now let [tex]\epsilon > 0Then $|f(x)g(x) - Lf(x)| = |f(x)||g(x) - L| < M\epsilon[/tex]
for all [tex]x \in A$ with $0 < |x - c| < \delta$[/tex]. So [tex]\displaystyle\lim_{x \rightarrow c} f(x)g(x)$ exists and is equal to $Lf(c)[/tex]
If [tex]$f$[/tex] is bounded and [tex]$\displaystyle\lim_{x \rightarrow c} g(x)$[/tex] exists, then the limit of [tex]f(x)g(x)$[/tex]as [tex]$x$[/tex]approaches[tex]$c$[/tex]also exists and is equal to [tex]$Lf(c)$[/tex].
The complete question is:
Let [tex]$f$[/tex] and [tex]$g$[/tex] be functions defined on a domain[tex]$A$[/tex]. Prove that if [tex]$f$[/tex] is bounded, and [tex]$\displaystyle\lim_{x \rightarrow c} g(x)$[/tex]exists, then [tex]$\displaystyle\lim_{x \rightarrow c} f(x)g(x)$[/tex] exists.
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every time Musa distributes 100,105&110 oranges to a group of students he is left with 1, 3 ,5 oranges respectively.Find the maximum number of oranges he can distribute to the group
The maximum number of oranges he can distribute to the ground would be = group C with a total of 115 oranges.
What is a maximum number?A maximum number is defined as the number that is equal to or greater than other values in a data set.
The various number of oranges distributed by Musa include the following:
Group A Students = 100 oranges
Remaining oranges from group A = 1
Total = 101 oranges
Group B students = 105 oranges
Remaining oranges from group B = 3
Total = 108 oranges.
Group c students = 110 oranges
Remaining oranges from group C = 115 oranges.
Therefore the maximum oranges he distributed was for group C which was 115 in total number.
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when sarah rowed down black river with the current, she took one hour to go four miles. when she rowed back the same distance, at the same rowing speed, but against the current, her trip required two hours. what is the speed, in miles per hour, of the current in black river?
The speed of the current is 1 mile per hour.
To calculate we can start by using the formula: distance = speed x time.
Let's call the speed of the current "c" and the speed of Sarah's rowing "r".
When Sarah rows down the river with the current, her speed is the sum of her rowing speed and the current speed: distance = (r + c) * time
When she rows back against the current, her speed is the difference between her rowing speed and the current speed: distance = (r - c) * time
We know that the distance is four miles in both cases, and the time is one hour and two hours respectively.
So we can set up the following two equations:
(r + c) * 1 = 4
(r - c) * 2 = 4
Solving the first equation:
r + c = 4
Solving the second equation:
r - c = 2
Adding the two equations:
r = 3
We know that Sarah is rowing at a constant speed, so we can substitute this value back into one of the original equations:
(3 + c) * 1 = 4
c = 1
So the speed of the current is 1 mile per hour.
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99.99, 99.09, 99.091 leash to greatest
Match the concept to the correct description.Stratified sampleChoose the correct answer below.A. A stratified sample is the result if a sampling method distorts a property of the population.B. A stratified sample is a sample chosen so that all subsets of size n are equally likely.C. A stratified sample is a complete collection of items desired to be studied.D. A stratified sample is a sample within homogeneous subsets of the population.
A stratified sample size is a method of sampling where the population is divided into homogeneous subsets and a sample is taken from each subset.
A stratified sample is a method of sampling where the population is divided into distinct subgroups, or strata, based on specific characteristics. This method of sampling ensures that each stratum is represented in the sample in the same proportion as it is in the population. This ensures that the sample is representative of the population. Stratified sampling is useful when the population is heterogeneous, which means that it is composed of subgroups that vary significantly in size or composition. By stratifying the population, it is possible to ensure that each subgroup is adequately represented in the sample. This method also helps to reduce sampling errors, which can occur if the sample is not representative of the population. Stratified sampling is a useful tool for researchers who want to accurately represent the population in their sample.
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find the area of the parallelogram with vertices a(−3, 0), b(−1, 7), c(9, 6), and d(7, −1).
Th area of parallelogram with vertices (-3, 0), b(-1, 7), c(9, 6), and d(7, -1) is 46.5 square units.
The vertices of a parallelogram are a (-3, 0), b(-1, 7), c(9, 6), and d(7, -1).
Area of triangle abc= [tex]\frac{1}{2}[/tex] [tex]\left[\begin{array}{ccc}-3&0&1\\-1&7&1\\9&6&1\end{array}\right][/tex]
=1/2[-3(7-6)-1(-6-63)]
= 1/2[-3(1)-1(-66)]
=1/2[63]
=63/2 sq. units
Area of triangle acd= [tex]\frac{1}{2}[/tex] [tex]\left[\begin{array}{ccc}-3&0&1\\9&6&1\\7&-1&1\end{array}\right][/tex]
=1/2[-3(6+1)-1(-9-42)]
= 1/2[-3(7)-1(-51)]
=1/2[-21 + 51]
=1/2[30]
=15
Area of parallelogram abcd = Area of triangle abc + Area of triangle acd
= 63/2 + 15
= (63 + 30)/2
= 46.5 sq units.
Therefore, the area of the parallelogram is 46.5 sq. units.
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Answer:
correct answer is 72
Step-by-step explanation:
Daryl spent half of his weekly allowance on clothes, To earn more money his parents let him clean the oven for $10. What is his weekly allowance if he ended with $25?
Daryl's weekly allowance, given the amount he ended with and the amount spent on clothes, is $ 30
How to find the weekly allowance ?To find the weekly allowance, first find the amount that Daryl had after he had spend half his allowance on clothes. This amount can be found by the formula:
= Amount Daryl ended with - Amount gotten from cleaning oven
= 25 - 10
= $ 15
The amount of $ 15 is the amount out of Daryl's weekly allowance that he had after he had spent on clothes. The $15 is therefore half of the weekly allowance which means that the weekly allowance is:
= 15 x 2
= $ 30
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an urban planner collects data on how park trails are used by residents. the planner looks at two trails: one that winds through an urban area and another in a suburban park. the table shows the number of users who walk, jog, or bike the trail. activity walkjogbiketotal type of parkurban765823157 suburban1257642243 total20113465400 what proportion of suburban park users bike on the park trail? 0.1050 0.1728 0.6075 0.6461
0.1728 suburban park users bike on the park trail.
A mathematical comparison of two numbers is called a proportion.
It is an equation or statement used to depict that two ratios or fractions are equal.
According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
The proportion (p) is calculated as:
p = bike the trail/number of residents
Given that,
The number of users who bike the trail = 42
The number of residents using the park trails = 243
Thus,
p = 42/243 = 0.1728
Therefore, 0.1728 suburban park users bike on the park trail.
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A 7x1 board is completely covered by mx1 tiles without overlap; each tile may cover any number of consecutive squares, and each tile lies completely on the board. Each tile is either red, blue, or green. Let N be the number of tilings of the 7x1 board in which all three colors are used at least once. For example, a 1x1 red tile followed by a 2x1 green tile, a 1x1 green tile, a 2x1 blue tile, and a 1x1 green tile is a valid tiling. Note that if the 2x1 blue tile is replaced by two 1x1 blue tiles, this results in a different tiling. Find the remainder when N is divided by 1000.
The remainder when N is divided by 1000 is 106.
What is the Principle of Inclusion-Exclusion?The Principle of Inclusion-Exclusion, often known as PIE, offers a method/formula for organizing information about the size of each set, the number of elements in the union of a given set of sets, and the size of all potential set intersections.
From the question,
First, we think about all the possible divisions of the 7×1 board. Since we require at least one tile of each color, we exclude the cases of just one or two pieces.
Three pieces = 5+1+1 , 4+2+1 , 4+1+2 etc (6C2) = 15 ways
Four pieces = 6C3 = 20
Five pieces = 6C4 = 15
Six pieces = 6C5 = 6
Seven pieces =6C6 = 1
Now, we apply the Principle of Inclusion-Exclusion to consider how many ways to color them:
Three pieces : 3³ - 3 × 2³ + 3 = 6
Four pieces: 3⁴ - 3 × 2⁴ + 3 = 36
Five pieces : 3⁵ - 3 × 2⁵ + 3 = 150
Six pieces : 3⁶ - 3 × 2⁶ + 3 = 540
Seven pieces : 3⁷ - 3 × 2⁷ + 3 = 1806
Adding them together, we get
15×6 + 20×36 + 15×150 + 6×540 + 1×1806 = 8106
Hence, the remainder when it is divided by 1000 is 106.
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Answer:
106
Step-by-step explanation:
b) Cari nilai x.4X7+7°+141+85+X+27=360
help me
Answer:
Untuk mencari nilai x dari persamaan 4x+7x+141+85+x+27=360, pertama-tama kita harus menyederhanakan persamaan tersebut dengan menambahkan semua x yang ada di sisi kiri persamaan.
4x+7x+x = 12x
Selanjutnya, kita harus mengurangi semua bilangan yang ada di sisi kiri persamaan dari kedua sisi persamaan:
360 = 12x + 141 + 85 + 27
Setelah itu, kita harus mengurangi semua bilangan yang ada di sisi kanan persamaan dari kedua sisi persamaan:
360 - 253 = 12x
107 = 12x
Akhirnya, kita harus membagi 107 dengan 12 untuk mencari nilai x:
x = 8.9167
Jadi, nilai x dari persamaan tersebut adalah 8.9167.
It's worth noting that some steps are not needed to be done and the equation can be simplified by doing some operations at once like : (4x+7x+x+141+85+27=360) => (12x+253=360) => (12x=107) => (x=8.9167)
One large box and two small boxes weigh a total of 100 pounds. One large box and four small boxes weigh a total of 150 pounds. The weight limit of a trailer is 1500 pounds. Write an inequality that represents the numbers of large, x, and small, boxes that can be loaded in the trailer.
The inequality that represents the numbers of large, and small, boxes that can be loaded in the trailer is 2x + y ≤ 60
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, One large box and two small boxes weigh a total of 100 pounds. One large box and four small boxes weigh a total of 150 pounds.
Let the weights of large and small boxes be x and y respectively.
x + 2y = 100
x = 100-2y...(i)
x + 4y = 150
x = 150-4y...(ii)
Solving eq(i) and eq(ii)
100 - 2y = 150 - 4y
2y = 50
y = 25
Put y = 25 in eq(i)
x = 100-50
x = 50
Therefore, weights of large and small boxes are 50 and 25 pounds respectively.
Now,
Since, weight limit of a trailer is 1500 pounds
Establishing the inequality,
50x + 25y ≤ 1500
or,
2x + y ≤ 60
Hence, the inequality that represents the numbers of large, and small, boxes that can be loaded in the trailer is 2x + y ≤ 60
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A shirt is on sale for 12% off. If the original price was $28, what is the sale price? $ Ontorn is having a store wide sale on all merchandise. All items
Answer:
price is now $24.64
and it was $3.36 off
Step-by-step explanation:
Solve the triangle. Round each angle to the nearest degree and round each Side to the nearest hundredth. Do not use rounded answers in your calculations to find missing measures.
Answer:
The length of the third side (Hypotenuse) is 7.1556411313
Step-by-step explanation:
In order to find the third side(Hypotenuse) we use a formula called the phytogorean theorem which was invented by a philosopher named Pythagoras.
[tex]a^{2} +b^{2} =c^{2}[/tex]
We now apply the given values to the equation
[tex]5.96^{2} + 3.96^{2} = c^{2}[/tex]
Squaring the numbers we get,
[tex]35.5216+15.6816 = c^{2}[/tex]
[tex]51.2032[/tex] [tex]= c^{2}[/tex]
We now find the root of the number to find the hypotenuse which is,
[tex]\sqrt{51.2032} = c[/tex]
[tex]7.1556411313 = c[/tex]
Hence , the length of the third side (Hypotenuse) is 7.1556411313
Ryan is making a fruit drink. The directions say to mix 3 cups of water with 1 1/2 scoops of powdered fruit mix.
1. how many cups of water should he use with 6 scoops of fruit mix?
2. Rate needed
3. What is the unit rate?
4. Interpretation of unit rate?
12 cups of water should be mixed to 6 scoops of fruit mix and the unit rate is 0.5 scoops per cup
What is the unit rate?Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.
Given here: Ryan is making a fruit drink. The directions say to mix 3 cups of water with 1 1/2 scoops of powdered fruit mix.
Thus the ratio of the number of cups of water to scoops of powdered fruit mix is equal to 3:3/2=2:1
∴ With 6 scoops of fruit mix we will be required to mix 12 cups of water.
Again unit rate ( scoops of fruit mix / cup of water)= 1.5/3
=0.5 scoops/cup of water
The unit rate means the number of scoops that are required to be mixed with a cup of water.
Hence, 12 cups of water should be mixed to 6 scoops of fruit mix and the unit rate is 0.5 scoops per cup
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The website for company A recieves 8x10(6) visitors per year. The website for company recieves 4x10(3) visitors per year.
determine how many times more visitors per year the website for company a recieves than the website for company B.
PLEASE ANSWER ASAP
On solving the provide question, we can say that by linear equation the value 2000 times
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
[tex]8*10^6/(4*10^3)\\=(8/4)*(10^6/10^3)\\=2*(10^3)\\=2*1000\\=2000 times[/tex]
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What are the 7 types of functions?
There are 22 different types of functions based on range, element, equation, and domain.
Based on the range it includes Modulus Function, rational function, signum function, even and odd functions, periodic functions, greatest integer function, inverse function, and composite functions. On the basis of elements, it includes One One function, many one functions, onto function, one one and onto function, into function, and constant function. On the basis of the equation, it includes the identity function, linear function, quadratic function, cubic function, and polynomial functions. On the basis of the domain, it has algebraic functions, trigonometric functions, and logarithmic functions.
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40 points and brainleyest help
Answer: A,9
Step-by-step explanation:
g(7) = 4 and f(4) = 9
When you see something like f(g(x)) it is just asking you to find g(x) and plug that number in as x for f(x).
PWEASE PWEASE PWEASE
Answer:
-2
a open bracket
and then a and - a negate each other to give -2
How many 1/4 are in 3
Answer:
there are 12 fourths in 3 .
3x + 3y = 3
\y=-1/x+2
y=-2
y = 0
y = 3
y = 1
Answer: [tex]y=3[/tex]
Step-by-step explanation:
The intersection point of the graphs is the solution. So, you need to find the [tex]y[/tex]-coordinate of the intersection point.
What is the remainder after performing the division below? 47÷7
HELP ASAP PLEASE !!!!!!
If a translation of (x,y) → (x+6,y-10) is applied to figure ABCD, the coordinates of D are (1,-12).
What is translation?
A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes.
The points of the original image is -
A(-3,4), B(3,4), C(1,-2), D(-5,-2)
The translation of (x,y) → (x+6,y-10) is applied -
A(-3,4) = (-3+6,4-10) = (3,-6)
B(3,4) = (3+6,4-10) = (9,-6)
C(1,-2) = (1+6,-2-10) = (7,-12)
D(-5,-2) = (-5+6,-2-10) = (1,-12)
Therefore, the new points are -
A'(3,-6), B'(9,-6), C'(7,-12) and D'(1,-12).
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Martina rents a room in her home to guests. She charges a $25 flat fee per night for one person. Additional guests are welcome to stay, but she charges $10 per person. She expects guests to check out by 10 a.m. and charges an extra $5 per hour for late checkouts. Select the linear equation that correctly represents how much Martina collects for one night of stay in her home.
The linear equation that correctly represents how much Martina collects for one night of stay in her homey is 25 + 10x - 5z
The linear equation to represent how much Martina collects for one night of stay in her home is:
y = 25 + 10x - 5z
where:
y is the total amount collected in dollars
x is the number of additional guests (besides the first one)
z is the number of hours the guests check out late
This equation represents the flat fee of $25 per night for the first guest, the additional fee of $10 per person per night for additional guests, and the extra fee of $5 per hour for late checkouts.
Therefore, The linear equation that correctly represents how much Martina collects for one night of stay in her homey is 25 + 10x - 5z
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