7. The graph of the linear function is shown on the coordinate grid below.

7. The Graph Of The Linear Function Is Shown On The Coordinate Grid Below.

Answers

Answer 1

Answer:  C . The slope is -4/3  and the y-intercept is 4.

Step-by-step explanation:

Using the two given points, we will use them to evaluate the slope and the y intercept.  

(-1.5,6)

( 4.5,-2)  

To find the slope we will find the difference in the y coordinates of the points and divide it by the difference in the x coordinates of the point.

6-(-2) = 8  

-1.5 - 4.5 = -6

Slope :  8/-6=  -4/3.

Since the slope is -4/3, we will use the formula  y= mx + b to find the y intercept. In the formula  y= mx + b, the slope is m and b is the y intercept.  

Use one of the given points, and input its x and y values into the formula including the slope to solve for b(the y-intercept).

We will use the point,  ( -1.5,6)  

6 = -4/3(-1.5) + b

6 = 2 + b  

-2   -2

b = 4.

b is indeed equal to 4 because it even indicates on the  graph that the y intercept is 4 which is where x is equal to 0.


Related Questions

Evaluate the expression: 3c - 6d where c = 7 and d = -4

Answers

Answer:

45

Step-by-step explanation:

(3)(7)−(6)(−4)

=21−(6)(−4)

=21−(−24)

=45

Find a solution for the equation. Assume that all angles are a cute angles. tan(3Y +32) = cot(Y+32°)

Answers

9514 1404 393

Answer:

  Y = 6.5°

Step-by-step explanation:

We know that tan(x) = cot(90°-x), so we could rewrite the equation as ...

  cot(90 -(3Y+32)) = cot(Y+32)

  58 -3Y = Y +32

  26 = 4Y

  6.5 = Y

One solution is Y = 6.5°.

_____

Additional solutions are found at integral multiples of 45° added to this value.

Multiply. 5/6 x 3/10 write your answer in simplest form.

Answers

1/4 because 5*3 is 15 and 6*10 is 60. So 15/60 simply to 1/4

Answer:    1/4 or 0.25

Step-by-step explanation:

If you have any more problems just use ”Mathaway”. I hope this helps!

Simplify and solve for X.
5(x + 20) = 7x + 30

Answers

Answer:

X = 35

Step-by-step explanation:

5 + 100 = 7x + 30

5x + 100 - 100 = 7x + 30 - 100

5x = 7x - 70

5x - 7x = 7x - 70 - 7x

-2x = -70

-2x/-2 = -70/-2

x = 35

I’m stuck in this question

Answers

x = 47

because
100-6= 94
94 divided by 2 = 47

Answer:

2x+6=100(being vertically opposite angle)

2x=100-6

2x=94

x=94/2

x=47

WILL MARK BRAINLIEST

Part 1:

Graph the following system of equations. What is the solution set?

2x + y = 3

x = 2y - 1

Part 2:

Solve the following system of equations by substitution. What is the solution set?

y = -2x + 3

x - 2y = - 1

Part 3:

Compare the systems of equations and their solutions in Parts 1 and 2. How are they similar? How are they different?

Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include the graph of the linear system of equations and the process followed in order to solve the system by substitution.

Answers

Answer:

Part 1:

The solution set of the system of equations is x = 1, y = 1

Part 2:

The solution set is x = 1, y = 1

Part 3:

The similarity of the system of equations in Parts 1 and 2 is that they have the same solution set

The difference of the system of equations in Parts 1 and 2 is that they are arranged differently

Step-by-step explanation:

Part 1:

The system of equation is given as follows;

2·x + y = 3...(1)

x = 2·y - 1...(2)

The above system of equations can be written in terms of the variable, y, as follows;

For equation (1), we have;

y = 3 - 2·x

For equation (2), we have;

y = (x + 1)/2

From the attached graph created with Microsoft Excel, we have;

The solution set (the point of intersection) of the system of equations is x = 1, y = 1

To accurately find the common solution, we have;

(x + 1)/2 = 3 - 2·x

x + 1 = 2·(3 - 2·x) = 6 - 4·x

x + 1 = 6 - 4·x

x + 4·x = 6 - 1

5·x = 5

x = 5/5 = 1

x = 1

Therefore, y = 3 - 2·x = 3 - 2× 1 = 1, at the common solution

Part 2:

y = -2x + 3

x - 2y = -1

∴ x = 2y -1

y = -2(2y -1) + 3

y = -4y + 2 + 3

5y = 5

y = 1

x = 2y - 1 = 2 - 1 = 1

x = 1

The solution set is x = 1, y = 1

Part 3

The system of equations are similar in terms of their solution

The system of equations are different in terms of their arrangement

Answer:

put the first answerer as brainliest, i just saw no one else has answered this.

Step-by-step explanation:

I think of a number, double it and subtract 1 and then square the answer. The result is 64. What could the number be?

Answers

Answer: 4.5

Let the number be x

(2x - 1)^2 = 64
Find the square root of both sides
2x - 1 = 8
2x = 8 + 1
2x = 9
x = 4.5

If you doubled an unknown number and subtract 1 and then square the answer to get 64, the unknown number is 4.5.

Let the unknown number be n.

Given the following data:

Output = 64

To find an unknown number:

In this exercise, you're required to solve for an unknown number while performing some arithmetic operations such as multiplication, subtraction and square.

Translating the word problem into an algebraic expression, we have;

Doubling the unknown number, we would multiply by 2:

[tex]2n[/tex]

Subtracting 1 from the above and squaring, we have:

[tex](2n-1)^2 = 64\\\\2n-1=8\\\\2n =8+1\\\\2n=9\\\\n=\frac{9}{2}[/tex]

n = 4.5

Read more: https://brainly.com/question/13282374

i need help with finding the value of x

Answers

Answer:

x= 10

Step-by-step explanation:

(8x+5)+(3x+25)+(4x)=180

15x+30=180

15x=150

x=10

xoxo, your highness...

Which percent is equivalent to 2.5?

Answers

the percentage for 2.5 is 250%

Answer:

250%

Step-by-step explanation:

1.0 = 100%

2.0 = 200%

0.5 = 50%

Therefore, 2.5 = 250%

DEF=XYZ
Which other congruence statements are true?
SELECT ALL THAT ARE TRUE, THERE IS MORE THAN ONE CORRECT ANSWER.

Answers

All of them a b c d but not e because e is wrong

Help please:))))))))))))))))))))

Answers

Answer:

option 4; 0

Step-by-step explanation:

[tex]f(x) = \left \{ {{2x + 7; x<1 } \atop {10 - 5x; x \geq 1}} \right.[/tex]

Substitiute in "2" for "x".

Since "2" is greater than "1", then the second equation must be used.

Substitute in "2" of "x".

10 - 5x

10 - 5 * 2

10 - 10

0

Option 4 is 0.

The expression-7y is a

Answers

Ok What is the Question?

I need help thank you

Answers

I can’t see the angles can you show me plz

f(x)=x²+4x-7 determine the vertex

Answers

Answer:

The vertex of this parabola is [tex](-2,-11)[/tex]

Step-by-step explanation:

One way of finding the x-coordinate of the vertex of a parabola is by using the equation [tex]-\frac{b}{2a}[/tex]

From the function [tex]f(x)=x^2+4x-7[/tex], we can see that

[tex]a=1\\b=4\\c=-7[/tex]

This means that

[tex]-\frac{b}{2a}=-\frac{4}{2(1)} =-2[/tex]

So, the x-value of the vertex is -2. Now, we can plug this x-value into the function to find the y-coordinate of the point.

[tex]f(x)=x^2+4x-7\\\\f(-2)=(-2)^2+4(-2)-7\\\\f(-2)= 4-8-7\\\\f(-2)=-11[/tex]

Thus, the vertex of this parabola is [tex](-2,-11)[/tex]

we you please help me​

Answers

Cheetah runs faster

what is the slope ?

Answers

Answer:

-1/2

Step-by-step explanation:

You go down once and over two because it’s down and left you have to put it as a negative

1/2 because the rise is 1 the run is 2 rise/run

multipy or divide -3 * -6

Answers

Answer:

18 if you multiply

Step-by-step explanation:

Answer:

multiply

Step-by-step explanation:

The * sign is a way to show multiplication so that the "x" variable isn't mistaken for you to multiply or vice versa.

-3 * -6 = 18 because a negative number times a negative number has the sum of a positive number.

if qc is a tangent to circle o and qc=8 and bc=4, then the length of ob is ?

Answers

Answer:12

Step-by-step explanation: formula a(a+b)=c(c)

4(4+x)=8(8)

16+4x=64

4x=48

X=12

Answer:

6

Step-by-step explanation:

I took the test

What is the value of x?

Answers

Answer:

x=60

Step-by-step explanation:

the angle size is half the size of 120 if you draw it out with protractor it will come out to be an angle measurement of 60

Plz help I will give brainliest

Answers

Answer:

#8. M = -8/9

#9. M = 3/5

Explain how to multiply the following whole numbers 21 x 14

Answers

Answer:

[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}[/tex]

________

[tex]\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}[/tex]

Step-by-step explanation:

Given

[tex]21\:\times \:14[/tex]

Line up the numbers

[tex]\begin{matrix}\space\space&2&1\\ \times \:&1&4\end{matrix}[/tex]

Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)

Multiply the top number by the bolded digit of the bottom number

[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}[/tex]

Multiply the bold numbers:    1×4=4

[tex]\frac{\begin{matrix}\space\space&2&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&4\end{matrix}}[/tex]

Multiply the bold numbers:    2×4=8

[tex]\frac{\begin{matrix}\space\space&\textbf{2}&1\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}[/tex]

Multiply the top number by the bolded digit of the bottom number

[tex]\frac{\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}[/tex]

Multiply the bold numbers:    1×1=1

[tex]\frac{\begin{matrix}\space\space&\space\space&2&\textbf{1}\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&\space\space&1&\space\space\end{matrix}}[/tex]

Multiply the bold numbers:    2×1=2

[tex]\frac{\begin{matrix}\space\space&\space\space&\textbf{2}&1\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&2&1&\space\space\end{matrix}}[/tex]

Add the rows to get the answer. For simplicity, fill in trailing zeros.

[tex]\frac{\begin{matrix}\space\space&\space\space&2&1\\ \space\space&\times \:&1&4\end{matrix}}{\begin{matrix}\space\space&0&8&4\\ \space\space&2&1&0\end{matrix}}[/tex]

adding portion

[tex]\begin{matrix}\space\space&0&8&4\\ +&2&1&0\end{matrix}[/tex]

Add the digits of the right-most column: 4+0=4

[tex]\frac{\begin{matrix}\space\space&0&8&\textbf{4}\\ +&2&1&\textbf{0}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{4}\end{matrix}}[/tex]

Add the digits of the right-most column: 8+1=9

[tex]\frac{\begin{matrix}\space\space&0&\textbf{8}&4\\ +&2&\textbf{1}&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{9}&4\end{matrix}}[/tex]

Add the digits of the right-most column: 0+2=2

[tex]\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}[/tex]

Therefore,

[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}[/tex]

________

[tex]\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}[/tex]

The perimeter of a triangular garden is 72 feet. Find the length of the three sides if the middle length side is 4 feet greater than twice the length of the smallest​ side, and the longest side is 4 feet less than 3 times the length of the smallest side

Answers

Answer:

Smallest length side = 12 ft

Middle length side = 28 ft

Longest length side = 32 ft

Step-by-step explanation:

Perimeter of ∆ = sum of all its length sides

Thus, we are given that:

Perimeter = 72 ft

Let x represent the smallest length side. Therefore:

Smallest length side = x ft

Middle length side = (2x + 4) ft

Longest length side = (3x - 4) ft

Thus:

(2x + 4) + (3x - 4) + x = 72

Solve for x

2x + 4 + 3x - 4 + x = 72

Collect like terms

2x + 3x + x + 4 - 4 = 72

6x = 72

Divide both sides by 6

x = 72/6

x = 12

Find the length of all 3 sides by plugging in the value of x in each expression:

Smallest length side = x ft = 12 ft

Middle length side = (2x + 4) ft = (2(12) + 4) = 24 + 4 = 28 ft

Longest length side = (3x - 4) ft = (3(12) - 4) = (36 - 4) = 32 ft

CORRECT ANSWER GETS BRAINLIEST!

Keeping car tires inflated is essential to safe driving. For one type of car tire, the tire pressure in pounds per square inch (psi) is assumed to be approximately Normal with a mean of 35 psi and a standard deviation of 2 psi. A tire is labeled as underinflated if its pressure is 32 psi or below. What percentage of tires are underinflated?

a. 2.28%
b. 6.68%
c. 93.32%
d. 97.72%​

Answers

Answer:

B 6.68

Step-by-step explanation:

The solution is, 30.854% is the percentage of tires are underinflated.

What is Z-score?

In statistics, the standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured. Raw scores above the mean have positive standard scores, while those below the mean have negative standard scores.

here, we have,

First, we find the z-score corresponding to the value given

z-score = (x - mean)/SD

Z-score = (36-35)/2 = 1/2 = 0.5

we find the Probability of (x > 0.5)

we use the standard normal distribution table for this

P( x > 0.5) = 0.30854

This has a percentage 30.854%.

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Use the FOIL Method to find (w+9)(w+6).
52 points

Answers

Answer:

w^2+15w+54

Step-by-step explanation:

(w+9)(w+6)

w^2+9w+6w+54

w^2+15w+54

Answer:

w^2 + 15w + 54

Step-by-step explanation:

James completely covered a square poster board using 68.2 inches with an exponent of 2.of cardstock. Which measurement is
closest to one side of the poster board in inches?
A) 34 in.
B) 8 in.
C) 6 in.
D) 30 in.

Answers

Answer:

A. 34in

Step-by-step explanation:

If James completely covered a square poster board using 68.2 inches with an exponent of 2, the the total perimeter of the square will be;

P = 2(68.2) = 136.4in

Since the perimeter of a square is expressed as:

P = 4L

136.4 = 4L

L = 136.4/4

L = 34.1in

Hence the measurement of one side of the square poster is closest to 34in

Write the equation of the line through (5,9) and (5, -3)

Answers

Answer:

undefined

Step-by-step explanation:

This is a vertical line and cannot be written in any form.

solve the following inequality -3m + 18 -4

Answers

Answer:

-3m+14 that should be the answer

Answer:

-3m+14 that should be the answer

Step-by-step explanation:

How may solutions does -3(x-2)=6-3x have

Answers

Answer:

Every real number is a solution.

Step-by-step explanation:

−3 (x − 2) = 6 − 3x

(−3) (x) + (−3) (−2) = 6 + −3x

−3x + 6 = 6 + −3x

−3x + 6 = −3x + 6

−3x + 6 + 3x = −3x + 6 + 3x

6 = 6

6 - 6 - 0

0=0

what is mean mode and median​

Answers

Answer:

mean is the average of the numbers (add them all up then divided by how many number there are)

mode is the number that comes out the most often

range is the largest number minus the smallest

median is the middle number when they are lined up from greatest to the least  (unless there's two)

Step-by-step explanation:

a song we learned in 5th grade XD that i still remember somehow

Answer:

This is what mean, median, and mode are-

Step-by-step explanation:

Mean is when you add all the number there are and divide by the total of numbers that you added together like this for example.

(1+2+3+4+5 = 15) THEN (15 / 5 = 3) THE MEAN IS 3.

Median is when you group the number from smallest to biggest and keep on crossing out both side of the number till you reach the middle.

(1, 2, 3, 4, 5) YOUR MEDIAN SHOULD BE 3 CAUSE IF YOU CROSS OUT 1,5 THEN 2,4 YOU WILL GET 3.

Mode are the most common number that you will see. You could have no mode or many mode too.

(1, 2, 2, 3, 4, 5) THERE IS ONLY ONE MODE HERE WHICH IS 2.

(1, 2, 3, 4, 5) THERE IS NO MODE CAUSE THERE IS NO REPEATING NUMBER.

(1, 2, 3, 4, 4, 5, 5) THERE IS TWO MODE NOW WHICH ARE 4 AND 5.

HOPE THIS HELPS!

A triangle has sides of lengths 3.2 cm, 4.8 cm and 3.6 cm. Find the ratio of the lengths of the sides to one another

Answers

Answer:3/2

Step-by-step explanation:

i just had this on a test a triangle always equals this

The ratio of the lengths of the sides to one another is 0.8:1.2:0.9.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, a triangle has sides of lengths 3.2 cm, 4.8 cm and 3.6 cm.

The ratio of the lengths is 3.2:4.8:3.6

= 1.6:2.4:1.8

= 0.8:1.2:0.9

Therefore, the ratio of the lengths of the sides to one another is 0.8:1.2:0.9.

To learn more about the ratio visit:

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