Answer:
-37
Step-by-step explanation:
What is the slope of the line that passes through the points (-9, 2) and
(1, 27)? Write your answer in simplest form.
Answer:
5/2
Step-by-step explanation:
Y(2)-Y(1)/ X(2)-X(1)
(27-2)/(1-(-9)
25/10
simplified=5/2
Directions: Transform the following equations into standard form.
1. x2 + 2x = -1
2. 4 + x2 = 7x
3. x2 - x = 1
4. x2 + 9x = 10
5. 4x + 3 = x2
6. x2 + 5x +5
7. 2x5 + 7x = 3x
8. x2 = 3x + 8
9. x(x + 3) = 1
10. x2 - 3x = -2
11. y2 - 7y = -6
12. z2 - 5z = -4
The standard form is:
ax² + bx + c = 0Convert each equation:
1. x² + 2x = -1 add 1 to both sides
⇒ x² + 2x + 1 = 0
2. 4 + x² = 7x add - 7x to both sides and rearrange
⇒ x² - 7x + 4 = 0
3. x² - x = 1 add - 1 to both sides
⇒ x² - x - 1 = 0
4. x² + 9x = 10 add - 10 to both sides
⇒ x² + 9x - 10 = 0
5. 4x + 3 = x² add -4x - 3 to both sides
⇒ x² - 4x - 3 = 0
6. x² + 5x = 5 add -5 to both sides
⇒ x² + 5x - 5 = 0
7. 2x² + 7x = 3 add -3 to both sides
⇒ 2x² + 7x - 3 = 0
8. x² = 3x + 8 add -3x - 8 to both sides
⇒ x² - 3x - 8 = 0
9. x(x + 3) = 1 distribute and add - 1 to both sides
⇒ x² + 3x - 1 = 0
10. x² - 3x = -2 add 2 to both sides
⇒ x² - 3x + 2 = 0
11. y² - 7y = -6 add 6 to both sides
⇒ y² - 7y + 6 = 0
12. z² - 5z = -4 add 4 to both sides
⇒ z² - 5z + 4 = 0
Answer: ^^
1. x2 + 2x + 1 = 0
2. x^2 - 7x + 4 = 0
3. x^2 - x - 1 = 0
4. x^2 + 9x - 10 = 0
5. -x^2 + 4x + 3 = 0
6. x^2 + 5x - 5 = 0
7. 2x^5 + 7x - 3 = 0 or 2x^5 + 4x = 0
8. x^2 - 3x - 8 = 0
9. x^2 + 3x - 1 = 0
10. x^2 - 3x + 2 = 0
11. y^2 - 7y + 6 = 0
12. z^2 - 5z + 4 = 0
Step-by-step explanation:
:)
Liam rented a surf boar which cost $12.50/hour plus a one-time service fee. He used the board or 5.5 hours and paid a total of $93.75.
Use this information to write an equation (in slope-intercept form) which represents how the rental cost is calculated.
Answer:
y = 12.5x + 25
Step-by-step explanation:
first, we need to find the cost of the one-time service.
12.50*5.5 = 68.75
93.75 - 68.75 = 25
therefore, the one-time service fee is $25.
liam had to pay $12.50 every hour and thats where we get 12.5x from.
he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.
hope it helps :)
mark brainliest!!
Answer:
if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.
Help is appreciated ty!!
Answer:
B and C
Step-by-step explanation:
Jane found multiples of 8 instead of factors and should've gotten 1, 2, 4, and 8 as her answer.
Hope this helps :)
Answer:
B& C
Step-by-step explanation:
hope it helps
find the slope of the line
Answer:
-2
Step-by-step explanation:
[tex]\frac{(-5-1)}{(3-0)}[/tex] = [tex]\frac{-6}{3}[/tex] = -2
I would like to know if somebody could help me on this math problem.
Answer:
$288
Step-by-step explanation:
.04 * 7,200= 288
Commission multiplied by Stocks sold= Answer
Hope this helps :)
Solve for x
#6:
X=_
#7
X= _
Step-by-step explanation:
for the first one let's write our equation
(13x+2)+(3x-4)+(5x-7)=180
Combine like terms
21x-9=180
Add 9 to both sides
21x=189
Divide both sides by 21
x=9
Now for the second one
Let's write our equation
(19x-18)+(7x+1)+(10x-9)=180
Combine like terms
36x-26=180
Add 26 to both sides
36x = 206
Divide both sides by 36
x = 5.72222...
Please help me anyone i will give you brain points
Answer:
M = 11
Step-by-step explanation:
What is the equation of the line that passes through the point (7,-6)(7,−6) and has a slope of -2−2?
Area of the figure 4cm 4cm 12cm and 8cm
What is the slope of the line?
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.
I see 2 such points :
(-3, 4) and (1, -3)
x changes by +4 (from -3 to 1)
y changes by -7 (from 4 to -3)
the slope is therefore -7/+4 = -7/4
Which set of ordered pairs (x,y)(x,y) could represent a linear function?
A point is plotted on a number line at 3.7. A second point is plotted at −5.5.
What is the length of the line segment joining these points?
Enter your answer as a decimal in the box.
Answer:
9.2 units
Step-by-step explanation:
The length of the segment between the points is equal to the difference of their coordinates:
3.7 -(-5.5) = 3.7 +5.5 = 9.2 . . . units
Answer:
9.2
Step-by-step explanation:
5.5+3.7=9.2
Hope this helps!
Brainliest pls
Have a great day!
Describe the solutions in words to the inequality 4 < c + 2
A. All real numbers greater than 4
B. All real numbers less than 2
C. All real numbers less than 4
D. All real numbers greater than 2
Answer:
All real numbers are greater than four
Step-by-step explanation:
4+2=6
What is the sum of 2 of the interior angles of a regular pentagon?
The sum of the two interior angles of the regular pentagon will be 540°
What is a polygon?A polygon is a plane figure described by a finite number of straight-line segments connected to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both.
We can also calculate the sum of the interior angles of the pentagon in the following way:
We know that the sum of the interior angles of a polygon of n sides
Sum = (n – 2) × 180°.
Sum = 3× 180°= 540°.
Hence, the sum of the interior angles of a pentagon is 540°.
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7
During spring training, the Detroit Tigers won about 2/3 of the games they played while the
Cleveland Indians won 7/15
of the games they played. What fraction more of the games did
Detroit win than Cleveland?
please answer my question and dont give me a link
Answer:
3/15 or 0.2
Step-by-step explanation:
You would need to subtract as it is asking for amount MORE won.
2/3 - 7/15
Make the denominator the same in order to subtract.
= 10/15 - 7/15
Subtract.
= 3/15
If you make an initial deposit of $1000 in an account that yields 5% interest
annually. Find your balance at the end of a year.
Show your work !
SI
$1 000 × 4 % × 10 = $400
CI
($1 000 × 1.04 ^10) - $1 000 = $1 480.24 - $1 000 = $480.24
Interest on interest only applies to Compound Interest.
Excluding year 1, which yields $40 [the same as SI] the interest on interest yields $480.24 - $40 = $440.24
- BRAINLIEST answerer
The solution is $ 1050
The interest on a deposit of $ 1000 at 5% for an year will be $50 and the amount after one year is $ 1050.00
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the simple interest be represented as S
Now , the initial amount or principal be P = $ 1000
The rate of interest R = 5 %
The time period T = 1 year
So , the simple interest is given by the equation
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest S = ( 1000 x 5 x 1 ) / 100
On simplifying the equation , we get
Simple Interest S = 5000/100
Simple Interest S = $ 50
And , the amount after one year = Principal + Simple Interest
The amount after one year A = $ 1000 + $ 50
The amount after one year A = $ 1050.00
Hence , the amount is $ 1050.00
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Determine whether the statement is always, sometimes, or never true.
If △JKL ≅ △MNP, then m∠L = m∠N.
Complete the explanation of your reasoning.
The statement is always/ sometimes/ never true.
∠L corresponds to ∠P.
By [CPCTC/ Triangle Sum Theorem/ SAS Triangle Congruence Theorem], ∠L ≅∠P.
If ∠P ≅∠N, then ∠L [≅/≇ ] ∠N by [CPCTC/ Triangle Sum Theorem/ SAS Triangle Congruence Theorem], ∠L ≅∠P.
and m∠L [≅/≇ ] m∠N.
Please help this is on HMH I will give Brainliest if it's right! :)
Answer:
I am pretty sure the correct answer is never true
Step-by-step explanation:
This is because when,
Δ JKL ≅ Δ MNP
Then, ∠J ≅ ∠M
∠K ≅ ∠N
∠L ≅ ∠P
so ∠L ≠ ∠N
i hope this is right haha
Write 0.012 as a fraction in simplest form.
Answer:
3/25Step-by-step explanation:
Remove The decimal,
= > 0.012 = 12/100
= > 3/25...ans
Hope it Helps you!!8
Which does NOT describe the quadrilateral below?
O A. trapezoid
B. square
C. parallelogram
О
D. rectangle
Can you help me plzzzzzzz
Answer:
Step-by-step explanation:u have to add x+6 = ur answer there u go
The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero?
Answer:
1489
Step-by-step explanation:
Place these numbers in order from greatest to least. 19/5, 1.62, –14/3, –0.5
Answer:
See below:
Step-by-step explanation:
Hello my name is Galaxy and I'll be helping you today. I hope you are having a nice day!
Simplification
To figure out how we can order them, we can first simplify the problems so that we can easily determine its place. We can put the fractions into decimal form so that they are are in one form and will be easy for us to comprehend.
[tex]\frac{19}{5}=3\frac{4}{5}=3.80[/tex]
We know that [tex]\frac{1}{5}[/tex] is equal to 0.20 because we know that 1.00 will be equal to 100 in this case and we can divide that by five to get 20 which will be divided back to get to 0.20.
As I've explained how I've simplified the first one, simplifying the others should be a quite similar process, feel free to comment below if you need any assistance with this.
[tex]\frac{19}{5}=3.80\\1.62=1.62\\\frac{-14}{3}=-4.6667\\ -0.5=-0.5[/tex]
(Everything simplified to decimal form.)
We can now proceed to ordering them.
Ordering
Ordering decimals doesn't have to be as hard as it looks, we know that as per the number line a number that is more negative (e.g. -37) will be less than (e.g. -5) as it is closer to the number 0.
Now that we know how to order the negative numbers, we can order them into order, and for ordering the positive numbers, we should already know how to do that.
So, now, in order from Greatest to Least. We can order them by what I said above.
[tex]3.80>1.62>-0.5>-4.666[/tex]
We can convert the numbers back into their original form by looking at how we converted them in the Simplification section.
Final Answer
After converting them into a way that we can comprehend, we get our final answer in terms of greatest to least as:
[tex]\frac{19}{5}>1.62>-0.5>\frac{-14}{3}[/tex]
Cheers!
Find the perimeter. Simplify your answer.
Answer:
perimeter=32t units
Step-by-step explanation:
let:
a=8t-2
b=8t+2
perimeter=2(a+b)
Subtitute values of a and b:
=2(8t-2+8t+2)
=2(16t)
=32t units
Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00. (1 point)
15x = 1.39
15 + x = 1.39
1.39x = 15
1.39 + x = 15
Can somebody please help me?!! I will give BRAINLIEST!!
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. [Attached]
The coordinates of the y intercept are (0,3).
The coordinate of the y-intercept of the line is (0, 3)
Equation of a line
The equation of a line in slope-intercept form is expressed as y = mx + b.
where:
m is the slope the lineb is the y-interceptGiven the coordinate points (-1, 7) and (1, -1).
Get the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]
Get the y-intercept:
Recall that y = mx + b
Using the coordinate point (1, -1) and m = -4
-1 = -4(1) + b
-1 = -4 + b
b = -1 + 4
b = 3
The equation of the line is y = -4x + 3
Get the y-intercept:The y-intercept occurs at the point where x = 0
y = -4(0) + 3
y = 0 + 3
y = 3
Hence the coordinate of the y-intercept of the line is (0, 3)
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Which expression is equivalent to 1/2(4x+8)? Answer choices: A. x + 4 B. 2x+4 C. 2x+8 D. 4x+4. Please provide explanation as well!
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answer:
Question=Q
Q8=60.1
Q9=
Marking Brainlest! 20pts. Thanks
The scatter plot shows the relationship between the average number of nightly customers and the number of months since a restaurant opened. The equation represents the linear model for this data.
y = 5x + 120
What does the number 5 in the equation mean in this context?
A. There were 5 customers per night when the restaurant opened.
B. The average number of customers per night decreased by 5 each month.
C. The restaurant has been open for 5 months.
D. The average number of customers per night increased by 5 each month.
Answer:
the answer is C trust me by
Ms. Suzuki is buying soda for the pizza party her class earned. She estimates that each of her
24 students will drink 250 milliliters of soda on average. How many 2-liter bottles of soda
should she buy?
Answer:
6
Step-by-step explanation:
250 mL is 0.25 L or 1/4 L.
1 L is enough for 4 students.
A 2-L bottles is enough for 8 students.
Since 24 students is 3 times 8 students, you need 3 times a 2-liter bottle.
Answer: 3
