Answer:
Using function concepts, we have that:
1. Non-linear
2.
B)
x y
0 1
1 2
2 5
3 10
3. Linear
4.
: Linear
: Linear
: Non-Linear
: Linear
5. Linear
In a linear function, the rate of change is constant.
A linear function is also of the first degree.
Item 1:
From -3 to -1, the rate of change is of
From -1 to 1, the rate of change is of .
Different rates of change, so non-linear.
Item 2:
At function b, from 0 to 1, the rate of change is of 1, from 1 to 2 of 3, different rates of change, so non-linear.
Item 3:
Highest degree of x is 1, so first degree, and thus linear.
Item 4:
The only non-linear is , which is of the second degree.
is a constant function, with a rate of change of 0, so linear.
The last function is written as:
Highest degree of x is 1, so also linear.
Item 5:
In all cases, the rate of change is constant, so linear
Step-by-step explanation:
A circle has a center (2, 4). prove that if the radius of the circle is less than 5, then the circle does not intersect the line y=x-6.
Answer:
the distance from the center to the line is about 5.65, too far from a circle of radius 5.
Step-by-step explanation:
We can prove this by looking at the distance from the center of the circle to the line.
The distance from point (x, y) to line ax+by+c=0 is given by ...
d = |ax +by +c|/√(a^2 +b^2)
For the line ...
x -y -6 = 0
and the point (2, 4), the distance is ...
d = |2 -4 -6|/(1^2 +(-1)^2) = |-8|/√2 = 8/√2 ≈ 5.65685
This tells us that a circle with radius 5.65 or less will not intersect the line. A circle of radius 5 is smaller than that. A circle with radius 5 will not intersect the line y = x-6.
EOC 2.27
Homework • Unanswered
Which of the following variables would not be appropriately depicted through a stem-and-leaf plot?
Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
a
Gender
b
Grade level in elementary school
с
Number of doctor visits during the past year
d
Number of people living in a household
The variable that cannot be illustrated by a stem-and-leaf plot is C. Number of doctor visits during the past year.
What is a stem and leaf plot?It can be inferred that a stem and leaf plot simply means the technique that is used to classify continuous or discrete variables.
In this case, the variable that cannot be illustrated by a stem-and-leaf plot is the number of doctor visits during the past year. This is because it's an ordinal variable.
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A four pack of envelopes cost $.52 what is the unit price?
Answer:
0.13
Step-by-step explanation:
The perimeter of a rectangle is 38 inches. If the length is 15 inches, what is the width?
analyze problem
perimeter is 38
perimeter -2*length=2*width
38-30=2width
8=2width
width=4
Cary weighs 123 pounds. Her weight is 22 pounds less than five times her child’s weight. How much does her child weigh
Answer:
I got 2 different answers because I did 2 different ways the first answer I got was 88 and the other was 505. I would go with the latter 88 if it's an option.
Step-by-step explanation:
The length of a towel is 75 centimeters.
How long is the towel in inches?
Round to the nearest hundredth, if necessary.
Answer:
it's 29,53 inches (after rounding off)
Step-by-step explanation:
as far as I can remember I said
75 × 0.393701 (this is 1 inch)
= 29,527575
= 29,53
The length of towel after converting in inches from centimeters will be 29.55 inches.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity.
Given that;
The length of a towel in centimeters is;
⇒ 75 centimeters.
Now,
Since, we know that;
⇒ 1 centimeter = 0.394 inches.
So, We convert the length of a tower from centimeter to inches as;
⇒ 1 centimeter = 0.394 inches.
⇒ 75 centimeter = 75 x 0.394 inches.
After multiplication, we get;
⇒ 75 centimeter = 29.55 inches.
Since, the length of a towel in already round to the nearest hundredth.
Hence, 75 centimeter = 29.55 inches.
Therefore,
The length of towel after converting in inches from centimeters will be 29.55 inches.
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If the total revenue function for a blender is R(x) = 56x − 0.01x2 where x is the number of units sold, what is the average rate of change in revenue R(x) as x increases from 11 to 22 units? $ per unit g
The revenue function is the sum of the profit and cost functions
The average rate of the revenue is 55.67
How to determine the average rate of changeThe revenue function is given as:
[tex]R(x) = 56x - 0.01x^2[/tex]
The interval is given as:
(a,b) =(11,22)
The average rate of change over the interval (a,b) is calculated as:
[tex]R'(x) =\frac{R(b) - R(a)}{b -a}[/tex]
This gives
[tex]R'(x) =\frac{R(22) - R(11)}{22 -11}[/tex]
[tex]R'(x) =\frac{R(22) - R(11)}{11}[/tex]
Calculate R(22) and R(11)
[tex]R(22) = 56*22 - 0.01*22^2[/tex]
[tex]R(22) = 1227.16[/tex]
[tex]R(11) = 56*11 - 0.01*11^2[/tex]
[tex]R(11) = 614.79[/tex]
So, we have:
[tex]R'(x) =\frac{R(22) - R(11)}{11}[/tex]
[tex]R'(x) =\frac{1227.16 - 614.79}{11}[/tex]
[tex]R'(x) =\frac{612.37}{11}[/tex]
Evaluate the quotient
[tex]R'(x) =55.67[/tex]
Hence, the average rate of the revenue is 55.67
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What is the simplified form of the following expression? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0
2 (RootIndex 4 StartRoot 16 x EndRoot) minus 2 (RootIndex 4 StartRoot 2 y EndRoot) + 3 (RootIndex 4 StartRoot 81 x EndRoot) minus 4 (RootIndex 4 StartRoot 32 y EndRoot)
5 (RootIndex 4 StartRoot x EndRoot) minus 4 (RootIndex 4 StartRoot 32 y EndRoot)
5 (RootIndex 4 StartRoot x EndRoot) minus 6 (RootIndex 4 StartRoot 2 y EndRoot)
13 (RootIndex 4 StartRoot x EndRoot) minus 10 (RootIndex 4 StartRoot 2 y EndRoot)
35 (RootIndex 4 StartRoot x EndRoot) minus 18 (RootIndex 4 StartRoot 2 y EndRoot)
Answer:
[tex]\text{(c) }\ 13\sqrt[4]{x}-10\sqrt[4]{2y}[/tex]
Step-by-step explanation:
Simplification of radical expressions of this sort involves ...
factoring out integer powerscombining like termsThe given expression can be simplified as follows:
[tex]\displaystyle 2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}\\\\=2\sqrt[4]{2^4x}-2\sqrt[4]{2y}+3\sqrt[4]{3^4x}-4\sqrt[4]{2^4(2y)}\\\\=2\cdot2\sqrt[4]{x}-2\sqrt[4]{2y}+3\cdot3\sqrt[4]{x}-4\cdot2\sqrt[4]{2y}\\\\=(2\cdot2+3\cdot3)\sqrt[4]{x}-(2+4\cdot2)\sqrt[4]{2y}\\\\=\boxed{13\sqrt[4]{x}-10\sqrt[4]{2y}}[/tex]
Estimate square root of 12 to the nearest tenth.
A 4.5
B 3.9
C 4.1
D 3.5
Answer:
3.5
Step-by-step explanation:
As a first approximation of the square root, you can look at the integers relating the given number to the next lower square number. The next lower square number is 3^2 = 9.
12 = n^2 +r = 3^2 +3 . . . . . n = 3, r = 3
The approximate square root is ...
n +r/(2n+1) = 3 +3/7 ≈ 3.429
This value tends to be a little low. Alternatively, the root can be estimated as ...
n +r/(2n) = 3 +3/6 = 3.5
This value tends to be a little high.
A reasonable estimate of √12 is 3.5.
__
Of course, your calculator can tell you instantly that the root is about 3.464102, close to 3.5.
_____
Additional comment
The relation we used above simplifies the work of linear interpolation between the points (9, 3) and (16, 4) on the square root curve. For some n between 9 and 16, the interpolated root value r would be found from ...
(n -9)/(16 -9) = (r -3)/(4 -3)
(n -9)/7 = (r -3)/1
r = 3 +(n -9)/7 = 3 +(12 -9)/7 = 3 +3/7 . . . . as above
Note that "r" is used for "root" in this discussion. In the above answer, "r" is used for "remainder."
A certain test is worth 125 points. How many point are needed to obtain a score of 85%
Answer:
106
Step-by-step explanation:
85% of 125 is 106 so therefore you would need to answer 106 correct.
Watch help video
The first three terms of a sequence are given, Round to the nearest thousandth of
necessary)
211, 207, 203,
Find the 38th term,
submit Answer
All
Which three lengths can be the lengths of the sides of a triangle? Choose all that apply.
4m, 6m, 7m
22m, 16m, 13m
20m, 5m, 9m
10m, 10m, 11m
Answer:
10m, 10m, 11m will be your answer, cuz two 10m, are there and the sides of the triangle are all same 11m can remain one side because it dosent matter.. i hope this helps.. mark me as brainliest..
The area of circle 1 is 6 square units. The area of circle 2 is 7 square units. Which of the following is true about the circumferences of the circles? A. The circumference of circle 1 equals the circumference of circle 2. B. Not enough information is given to make a comparison between the circumferences of the circles. C. The circumference of circle 1 is less than the circumference of circle 2. D. The circumference of circle 1 is greater than the circumference of circle 2.
Answer:
C. The circumference of circle 1 is less than the circumference of circle 2.
Step-by-step explanation:
6<7
We know that the formula for the area of a circle is πr². This means the greater the radius, the greater the area.
We also know that the formula for circumference is 2πr. It is also dependent on radius. The greater the radius, the greater the circumference.
Given that Circle 2 has a greater area, this means that it has a greater radius which in turn means that it has a greater circumference.
C. The circumference of circle 1 is less than the circumference of circle 2.
Answer:
The circumference of circle 1 is less than the circumference of circle 2.
Step-by-step explanation:
Hi there!
When we compare two circles, if one is bigger than the other, it must have a greater circumference. We can see this visually.
If we want to prove this, we can take a look at the area and circumference formulas (r = radius):
[tex]A=\pi r^2[/tex]
[tex]C=2\pi r[/tex]
If we were to substitute the area formula into the formula for circumference, we would get the following:
[tex]\displaystyle\frac{A}{\pi}=r^2\\\\\sqrt{\displaystyle\frac{A}{\pi}}=r[/tex]
[tex]C=2\pi (\sqrt{\displaystyle\frac{A}{\pi}})[/tex]
Therefore, the greater the area of a circle, the greater its circumference.
I hope this helps!
i need help on this question
Answer:
D. 75 ft
Step-by-step explanation:
Line DE parallel to line CB makes triangle ADE similar to triangle ACB. This means corresponding sides are proportional:
DE/AD = CB/AC
DE = AD×CB/AC = (70 ft)×(225 ft)/(70 ft +140 ft) = (225 ft)/3
DE = 75 ft
The distance across the lake is 75 feet.
Find the slope of the line passing through the points (-9, 3) and (7, -7).
Answer:
-10/16
Step-by-step explanation:
-7z3=-10 and 7-(-9)=16
MARKING AS BRAINLIEST! LAST ATTEMPT! ) show ur work
[tex] - 3 \sqrt{180 {x}^{5}y } = - 3 \sqrt{36 {x}^{4} \times 5xy } = - 18 {x}^{2} \sqrt{5xy} [/tex]
[tex]5 \sqrt{108xy {z}^{2} } = 5 \sqrt{36 {z}^{2} \times 3xy } = 30z \sqrt{3xy} [/tex]
[tex]3x \sqrt{x {y}^{10} {z}^{7} } = 3x \sqrt{ {y}^{10} {z}^{6} \times xz } = 3x {y}^{5} {z}^{3} \sqrt{xz} [/tex]
[tex] \sqrt{ {x}^{3} } = \sqrt{ {x}^{2} \times x } = x \sqrt{x} [/tex]
[tex] \sqrt{x {y}^{3}z } = y \sqrt{xyz} [/tex]
[tex] \sqrt{18 {x}^{2}y } = \sqrt{9 {x}^{2} \times 2y } = 3x \sqrt{2y} [/tex]
[tex] \sqrt{32 {x}^{4} {y}^{2} } = \sqrt{16 ({ {x}^{2} })^{2} {y}^{2} \times 2 } = 4 {x}^{2} y \sqrt{2} [/tex]
[tex]2 \sqrt{16 {x}^{7} {y}^{3} {z}^{4} } = 2 \sqrt{ {4}^{2} {x}^{6} {y}^{2} ( { {z}^{2} )}^{2} \times xy } = 8 {x}^{3} y {z}^{2} \sqrt{xy} [/tex]
[tex] {x}^{2} \sqrt{ {x}^{3} {y}^{2} } = {x}^{2} \sqrt{ {x}^{2} {y}^{2} \times x } = {x}^{3} y \sqrt{x} [/tex]
Answer: ......
Ok done. Thank to me :>
can someone answer this please
Answer:
X > 2
Step-by-step explanation:
all the numbers highlight are greater than 2 hence the answer
If a box has a sea-level air density of 1.24 kg * m ^ - 3 how much would the air within the box weigh?
We have that what the air within the box weigh is mathematically given as
m=9.8kg
From the question we are told
If a box has a sea-level air density of 1.24 kg * m ^ - 3 how much would the air within the box weigh?
ArithmeticsGenerally the equation for the Mass is mathematically given as
M=d*V
Therefore
m=1.24*8
m=9.8kg
Weight
m*
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Choose Yes or No to tell if the number 35 will make each equation true.
□×58=38
□×29=215
□×16=110
□×710=25
Find the percent in the fastest way. 66 2/3% of 240 kg
Answer:
16,000 kg
Step-by-step explanation:
"Of" something means multiplying. Therefore, the equation is
66 2/3 * 240 = 16,000 kg
Find the product of:
[tex] {p}^{5} \times {p}^{ - 4} \times {p}^{3} [/tex]
[tex]\\ \rm\Rrightarrow p^5\times p^{-4}\times p^3[/tex]
[tex]\\ \rm\Rrightarrow p^{5-4+3}[/tex]
[tex]\\ \rm\Rrightarrow p^{1+3}[/tex]
[tex]\\ \rm\Rrightarrow p^4[/tex]
Can someone help? Thanks a lot!!
Please explain if you can thanks again.
Answer:
4x +20 = 2x +60
4x -2x +20 -60 =0
2x -40 = 0
2x = 40
x =20.
can someone please help with my work
Answer:
68
Step-by-step explanation:
41+77= 112
180-112= 68
The angles in a triangle all add up to 180°.
Monica has 426 millimeters of fabric for a dress. How many centimeters of fabric does she have?
Answer:
42.6 centimeters
Step-by-step explanation:
[tex]\sqrt{3x+33+17=20[/tex]
Identify the number of solutions to the system. SHOW YOUR WORK OR EXPLAIN YOUR ANSWER.
3x + 4y = -5
3x + 4y = 5
Answer:
none
Step-by-step explanation:
The "work" is to observe the standard-form linear equations are the same on the left side and different on the right side. There cannot be any possible values of the variables that will make this true.
There are no solutions.
Find the area of the shape shown below.
Answer:
I believe the answer is a=58
Step-by-step explanation:
a=1+25+8+24
a=26+8+24
a=34+24
a=58
Deepak earns Rs. 12480 in a month. Find his 1 day's earning.
Answer: 416 Rs
Step-by-step explanation:
Divide 12480 by 30 days.
5. Choose values for a and b so that the system of equations shown has
infinitely many solutions.
y= 2x + a
y= bx - 3
3
2
1
3
2.
1
a
A
(B
b
G
(k
©
Answer:
next time please show a picture if have one
Step-by-step explanation:
3. It took Sandy two hours to jog 13 miles. She ran 17 miles in the first hour. How far did she run during the second hour?
Answer:
this doesn't amke sense
Step-by-step explanation:
she joged 13 miles in 2 hours. she ran 17 miles the 1st hour. 38? im not sure what your trying to do
