Write an
equation for the linear function f satisfying the given conditions.
1) f(-1) = -5 and f(5) = 7

Answers

Answer 1

Answer:  f(x) = 2x - 3

===================================================

We're given f(-1) = -5 and f(5) = 7

This means we know the two points (-1,-5) and (5,7) are on the line.

Find the slope

m = (y2-y1)/(x2-x1)

m = (7-(-5))/(5-(-1))

m = (7+5)/(5+1)

m = 12/6

m = 2

The slope is 2.

Use this along with (x1,y1) to find the equation. We'll use point slope form

y - y1 = m(x - x1)

y - (-5) = 2(x - (-1))

y + 5 = 2(x + 1)

y = 2x + 2 - 5

y = 2x - 3

f(x) = 2x - 3


Related Questions

Which statement is true about the equations –3x + 4y = 12 and 1 x - y = 1?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
The system of the equations has no solution; the two lines are parallel.
O The system of the equations has an infinite number of solutions represented by either equation.

Answers

Answer:

           None of these answers is true

Step-by-step explanation:

1x - y = 1     ⇒     x - 1 = y

-3x + 4y = 12

-3x + 4(x - 1) = 12

-3x + 4x - 4 = 12

   x - 4 = 12

     x = 16   ⇒    16 - 1 = y     ⇒    y = 15

Therefore the system of the equations has exactly one solution at (16,15)

Answer:

D- There are infinite solutions

Step-by-step explanation:

-3x + 4y= 12 is the same as 1/4x -1/3y = 1.

1/4x multiplied by 12 is 3x

-1/3y multiplied by 12 is -4y

To flip the negatives you multiply by -1 to get -3x + 4y+ 12 on both equations

please help me this is due soon!! ill mark brainiest :))
i also need a reason why please!!

Answers

Answer:

b

Step-by-step explanation:

One square = (2/5)/(3) Invert and multiply the 3

2      1

==    ==    =

5       3

2/15

5 squares = 5 * 2/15 = 10 / 15 = 2/3

is negative 8 a term

Answers

Answer:

Negative coefficients are simply coefficients that are negative numbers. An example of a negative coefficient would be -8 in the term -8z or -11 in the term -11xy. The number being multiplied by the variables is negative.

Step-by-step explanation:

put it in your own words

yesssssssss!!!!!!!!!

Using the table below, what is a (6(4))?

Answers

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6*4=24

Solve
12x - 4 = -3 +3

Answers

12x-4=-3+3
+4 +4
12x = 1+3
12x =4
/4 /4
x =1

Answer:

Exact answer: 1/3   Decimal Form : 0.3

Step-by-step explanation:

Directions: Determine whether the relation is a function. If the relation is a function, determine whether the
function is linear or nonlinear. EXPLAIN IN DETAIL WHY EXPLAIN the best way as possible ​

Answers

Answer:

Step-by-step explanation:

1. yes it is a function. The x is used just once and will pass the vertical line test.

2.y =-2x+3. Yes. Came as above. The x intercepts are (3/2,0) and the y is (0,3)

3. x= -2. No because it is a straight line or vertical line up the -2

PLZ PLZ HELP PLZ HELP PLZ HELP

Answers

Answer:

-2 is a negative number

Step-by-step explanation:

when multiplying or diving by a negative, you need to flip the inequality sign

Please help! It’s due today

Answers

Answer:

y=1x+2

Step-by-step explanation:

6. Triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form

Triangle

ABC: Which transformation can be used to map each point (.y) on Triangle ABC

to its corresponding point on Triangle A B C?

A

G.y) - (y + 3, x)

B

6. y) - (x+3)

(x, y) - (y+3.x)

D. (.y)-( y. x+3)

C

Answers

Given:

Consider triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C'.

To find:

The transformation that can be used to map each point (x,y) on Triangle ABC to its corresponding point on Triangle A'B'C'.

Solution:

If a figure rotated 90 degrees counterclockwise, then

[tex](x,y)\to (-y,x)[/tex]

[tex]P(x,y)\to P_1(-y,x)[/tex]

If a figure translated 3 units up, then

[tex](x,y)\to (x,y+3)[/tex]

[tex]P_1(-y,x)\to P'(-y,x+3)[/tex]

If  triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C', then the rule of transformation is

[tex](x,y)\to (-y,x+3)[/tex]

Therefore, the required rule of transformation is [tex](x,y)\to (-y,x+3)[/tex].

Note: Option are not in proper form.

All the points of the triangle ABC(assuming it is in first quadrant) of the form (x,y) turns (-x,y+3) after applying considered transformations.

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (x, -y)

Subcase: Counterclockwise rotation:

Then (x,y) → (-x, y)

Case 2: If the point is in second quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (-x, y)

Subcase: Counterclockwise rotation:

Then (x,y) → (x, -y)

Case 3: If the point is in third quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (x, -y)

Subcase: Counterclockwise rotation:

Then (x,y) → (-x, y)

Case 4: If the point is in fourth quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (-x, y)

Subcase: Counterclockwise rotation:

Then (x,y) → (x, -y)

Case 5: For points on axes

You can take that point in any of the two surrounding quadrants. Example, if the point is on positive  x axis, then it can taken as of first quadrant or fourth quadrant.

Case 6: On origin

No effect as we assumed rotation is being with respect to origin.

Since no quadrant is specified, we assume triangle is fully in first quadrant. That means all points (x,y) will turn (-x,y) after counter clockwise rotation.

Now translation of 3 units up means all y coordinates will be increased by 3, thus, all (x,y) points of triangle first become (-x,y) then (-x, y+3).

Thus, all the points of the triangle ABC(assuming it is in first quadrant) of the form (x,y) turns (-x,y+3) after applying considered transformations.

Learn more about rotation and translation here:

https://brainly.com/question/2418278

i'll give brainliest!!! what is the width of a rectangle that has an area of 96 square inches and a length of 12 inches?

Answers

Answer:

it's 8 inches luvvvv

Step-by-step explanation:

hope this helps

PLEASE THIS IS URGENT​

Answers

Answer:

B

Step-by-step explanation:

I am sorry if this is wrong

Monthly private school tuition based on the average number of weeks in attendance is predicted using the least-square regression line, ŷ = 265.9 + 93.4x, where ŷ represents the predicted monthly expense and x represents the average number of weeks in attendance. A child attends private school an average of 3.5 weeks and has a monthly cost of $595. What is the residual for the child?

A. −2.2
B. 2.2
C. 3.52
D. −3.52
E. 90.7

Answers

Answer:

B) 2.2

Step-by-step explanation:

i took the test :)

The residual for the child will be 2.2. Then the correct option is B.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function.

Monthly private school tuition based on the average number of weeks in attendance is predicted using the least-square regression line.

y = 265.9 + 93.4x, where y represents the predicted monthly expense and x represents the average number of weeks in attendance.

A child attends private school an average of 3.5 weeks and has a monthly cost of $595.

Then the residual for the child will be

⇒ 595 – (265.9 + 93.4 × 3.5)

⇒ 595 – (592.8)

⇒ 2.2

Then the correct option is B.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

IK this is simple math but I need help.

Answers

Answer:

C

Step-by-step explanation:

[tex]60*2 = 120[/tex]

[tex]60*3=180[/tex]

[tex]60*4=240[/tex]

please answer this question

Answers

Answer:

x = 7 or x = -8

Step-by-step explanation:

3|2x + 1| = 45

Divide both sides by 3.

|2x + 1| = 15

Separate into a compound equation.

2x + 1 = 15 or 2x + 1 = -15

2x = 14 or 2x = -16

x = 7 or x = -8

Answer: A

Step-by-step explanation:

Yer welcome

X=-4y + 4
2x + 8y =8
How many solutions are there?

Answers

Answer:

One solution.

Step-by-step explanation:

Chinisa is swinging on a swing. Her maximum height above the ground is 7 feet and her minimum height above the ground is 1 foot.

Select all of the equations that could model Chinisa's height above the ground (y) after x seconds of swinging assuming that the x-axis represents the ground.
A.
y = 6 sin(2x) + 4

B.
y = 6 cos(2x) + 4

C.
y = 6 tan(2x) + 4

D.
y = 3 sin(2x) + 4

E.
y = 3 cos(2x) + 4

F.
y = 3 tan(2x) + 4

Answers

6-4x(5) + 4= 9 your welcome

On the number line, Point B is between points A and C . The distance between points A and B is 1/3 of AC. What is AB?

Answers

I think the answer is b

I think the answer is b

I think the answer is b

I think the answer is b

2. g(x)= x2 +14x +13

Answers

If you were trying to find the vertex it is (-7,-36) and in vertex form it is y= (x+7)^2-36 hope this helps

The value of (Square root) 13 i is between _____.
A- 2 and 3
B- 5 and 6
C- 4 and 5
D- 3 and 4

Answers

Answer:

D

Step-by-step explanation

on the calculator it's 3.605551275 but rounding it is 4 so it's in between 3 and 4

1
-3
р
II
03
True
O False

Answers

Answer:

i dont understand it

Step-by-step explanation:

0/1 Patrick has $375 in his account. This is $90 more than his brother Ralph has in his account. Write an equation using x to find the amount of money in Ralph's account.

Answers

Answer:

x + 90 = 375

x represents the amount of money in Ralph's account.

how do you find the measure of an angle?​

Answers

Answer:

use the corner ofa paper to see if its obtuse it should be long and wide if its acute it should be a corne

Step-by-step explanation:

PLEASE HELP
Answer two questions about Equations A and b



A:2x−1=5x

B:-1=3x


=5x
=3x


1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Add/subtract the same quantity to/from both sides

(Choice B)
B
Add/subtract a quantity to/from only one side

(Choice C)
C
Rewrite one side (or both) by combining like terms

(Choice D)
D
Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No
Our mission is to provide

Answers

I need more points so I’m just saying this

The first one is Add/Subtract the same quantity to/from both sides and the second one is Yes

combine like terms -3.6-1.9t+1.2+5.1t

Answers

Combined terms: 3.2t - 2.4

5- 1/2x = 5/8x+2
Pls I need this for classwork due at 11:59

Answers

Answer:x=2.667

math

it's the right answer mark me smart.

If b(x) = negative2(x​​minus50), what is the value of b(20)?

Answers

Answer:

b(20) = 60

Step-by-step explanation:

Here, given that ;

b(x) = -2(x-50)

we want to find the value of b(20)

what we need to do is to simply substitute x for 20

That will be:

b(20) = -2(20-50)

b(20) = -2(-30)

b(20) = 60

yea im very slow so i need the answer pleaseeee!!

Answers

Answer:

I am thinking that the answer is B.

Step-by-step explanation:

Which of the following is the equation that represents the line in the graph below? A- x=3y, B- x=3, C- y=3, D- y=3x

Answers

Answer:

d

Step-by-step explanation:

5
Which list shows these numbers in order from least to greatest?
37
26
-5.17, 133,
6
5
37
А
26
5
-5.17,
33
B -5.17,
26
5
37
6
33
C
26
S
-5.17)
133,
37
6
D
-5.17, 252
133,
37
6
5

Answers

Answer:

D

Step-by-step explanation:

Rewrite x-3y=6 in slope intercept from

Answers

Answer: 1/3x -2

Step-by-step explanation:

X-3y =6 subtract x from both sides first

-3y=6-x. Then divide both sides by -3

Y= 6-x /-3 simplify

Y= -2+x/3 rearrange

Y= 1/3x -2

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