Write a linear function f with the values f(0)=−3 and f(7)=11.

Answers

Answer 1

Answer:  f(x)= 2x -3

Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

If you input 0 you get -3  so the point will be (0,-3)

If you input 7  you get 11  so the point will be (7,11)

Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

y coordinates:  -3 - 11 = -14

x coordinates:  0 - 7 = -7

  -14/-7 = 2

Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.

Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

-3= 2(0) +b

-3 = 0 + b

b = -3  

f(x) is the same as y in the formula, meaning that the equation will be  

 f(x) = 2x -3


Related Questions

Triangle FED is the image of triangle ABC. Angle A corresponds with which angle?
A) D
B) E
C) F
D) none of the above

Answers

Answer:

C) F

Step-by-step explanation:

If you flip triangle ABC across the y-axis and slide it over top of triangle FED then you can see that angle A corresponds with angle F.

The answer would be F

What is the percent equation

Answers

I believe that is what it is. :)

Answer:

a fraction with 100 as the denominator and the other fractions denominator 100 and input the other two numbers.

Step-by-step explanation:

3.05 Quiz: Congruent Polygons and Their Corresponding Parts. Pls help ;-;

Answers

Answer:

The correct options are presented as follows;

ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent

Step-by-step explanation:

The coordinate of the preimage point A = (-2, 1)

The coordinate of the image point A' = (2, 1)

Similar for points B(-5, -2) and B'(5, -2), C(-3, -4) and C'(3, -4)

Which is equivalent to a reflection across the y-axis

Similarly, we have;

The coordinate of the preimage point A' = (2, 1)

The coordinate of the image point A'' = (-1, 2)

Which is equivalent to rotation of 90° counterclockwise which involves transforming a preimage (x, y) to an image (-y, x)

Similar for points B and B', C and C'

Therefore, because the reflection transformation, and the rotation transformation, are rigid transformation, the figures of the preimage and the image are congruent

Therefore, we have;

ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent.

what is the slope to y=−3x+7

Answers

Answer: slope= -3

Step-by-step explanation: use the slope intercept form to find slope

Find f (h(-5))
f (x) 9x - 5
g(x) - 3x
h(x) 2x2

Your answer:​

Answers

hi

You are making  f ° h  

f(x) = 9x-5

h(x) = 2x²  

You must first calculate   h(-5)   :     so remplace  x  by -5 in h :

h(-5) = 2 (-5)² =  2* 25 = 50

then apply  f(x) to result  :   f(50) = 9 *50 -5 = 450 -5 = 445  

2³ =
what does it equal?

Answers

Answer:

8

Step-by-step explanation:

2 x 2 = 4

4 x 2 = 8

Answer:

8

Step-by-step explanation:

2^3 is the same as 2x2x2 (x is times)

what is the anwser
-4+3(x+4)=-4+5x

Answers

-4 + 3(x+4) = -4 + 5x
-4 + 3x + 12 = -4 + 5x
8 + 3x = -4 + 5x
(8+4)= (5x - 3x)
12 = 2x
So x = 6.

Answer:

x = 6

I hope this helps!

6 2/5 x 3 ÷ 2 2/4 =
4 4/5 x 5 7/5 ÷ 6 8/9=

Answers

Answer:

Answers are below

Step-by-step explanation:

Q1. 64x^3/25

​Q2.​​ 3456x/775

​​

The New England patriots scored 9 points in the first half. In the second half they scored 3 less than 2 times the points in the first half. What is the ratio of of the points and scored in the second half to the total number of points scored

Answers

Answer:

[tex]S : T = 5 : 8[/tex]

Step-by-step explanation:

Represent the first half with F and the second with S

We have that:

[tex]F = 9[/tex] --- From the first statement

[tex]S = 2F - 3[/tex] --- From the next statement

Required

Determine the ratio of S to the total point

First, we need to determine the value of S

Substitute 9 for F in [tex]S = 2F - 3[/tex]

[tex]S = 2 * 9 - 3[/tex]

[tex]S = 18 - 3[/tex]

[tex]S = 15[/tex]

Next, we determine the total points

[tex]Total = F + S[/tex]

[tex]Total = 9 + 15[/tex]

[tex]Total = 24[/tex]

The ratio of S to total is: (Represent total with T)

[tex]S : T = 15 : 24[/tex]

Divide both ration by 3

[tex]S : T = 15/3 : 24/3[/tex]

[tex]S : T = 5 : 8[/tex]

Hence, the ratio is 5 to 8

convert 3 √5^2 to fraction

Answers

Answer:

15 (simplified)

Step-by-step explanation:

Please help me with this

Answers

[tex]\rm\blue{Answer:}[/tex]

x = 70°

Explanation :

To find : Value of x

Here, given angles are :

35°, 75° and x

Knowledge Required to solve it :

The sum of all the angles of a triangle is 180°.

Now,

35°+75°+x=180°

⇒110°+x=180°

⇒x=180°-110°

⇒x=70°

.°. x=70°

I WILL MARK YOU BRAINLIEST PLEASE HELP. It needs to be correct

Answers

9514 1404 393

Answer:

a) the originb) 2

Step-by-step explanation:

Lines AA', BB', and CC' all converge at the origin. The origin is the center of dilation.

__

Each image point is twice as far from the origin as its corresponding pre-image point. The scale factor is 2.

Explain why the exponents cannot be added in the product 12^3 x 11^3?? I need a simple answer that won’t be confusing pls.

Answers

Answer:

The bases aren't the same

Step-by-step explanation:

If the bases are the same, then their exponents are added. In this case, since the exponents are the same, then 12^3*11^3=(12*11)^3=132^3=2299968

Jim wants to put carpet in four identical rooms. Each room is 14 ft by 20.5 ft. A
roll of carpet will cover 200 square feet. How many rolls will he need? *
3 rolls
4 rolls
5 rolls
6 rolls

Answers

Answer: Jim will need 6 rolls

Step-by-step explanation: 14*20.5 is 287 I rounded 287 to 300 and then muttplied 300 by 4 and got 1200 that would be 6 rolls

Please mark brainliest !!!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

um. its 70

Step-by-step explanation:

180-110.. parallel angels

Answer: 70°

Step-by-step explanation:

180-110 parallel angels

Find The Value Of Segment JK

Answers

Answer:

Step-by-step explanation:

since the two triangles are congruent,

GH = JK

Since, GH = 10 cm

JK is also 10 cm

Hope this helps

plz mark as brainliest!!!!!!

Natalia and her friends held a bake sale to benefit a local charity, friends sold 15 cakes on the first dayand 22 cakes on the second day of the bake saleThey collected $60 on the first day $88 on the second day Write an equation to represent the amount R Natalia and her friends raised after selling c cakes .

Please i need this asap it’s due in 15 minutes!! I will give brainliest to whoever gets it right first!!

Answers

the answer should be R=c(4)

Jessica can walk 2 1/2 miles in 3/4 of an hour. What is her speed in miles per
hour?

Answers

Answer:

3 1/3 miles

Step-by-step explanation:

Find the unit rate. 2 1/2 is the numerator because distance is usually the numerator when it comes to unit rates. 3/4 is the denominator.

Doug did this work to solve an equation. Did he make an error? 7x-8=-x-(12)​



HURRY PLZ!!!

Answers

Answer: What error is there, the answer to the equation is x= -1/2

Answer:

Step-by-step explanation:


HELP 10 points !!!!!!!




Answers

Answer:

B

Step-by-step explanation:

Answer:

84 degrees

Step-by-step explanation:

(6x - 30) + 96 = 180

6x 66= 180

6x= 114

x=19

6(19) - 30 = 114 - 30 = 84

(6x - 30) = 84 degrees

Hope this helps!

-3y+(1)/(5)=(2)/(3)x write in Ax+By=C

Answers

Answer:

2/3x + 3y = 1/5

Step-by-step explanation:

-3y + 1/5 = 2/3x (subtract 1/5)

-3y = 2/3x - 1/5 (subtract 2/3x)

-2/3x - 3y = -1/5 (divide by negative 1)

2/3x + 3y = 1/5

Hope this helps ya!!

Does anybody know what 2+3 is

Answers

The answer is 5 you can also use your fingers no I’m not calling you dumb I’m just saying you can


Find the equation of the line that contains the point ( - 1. - 4) and is parallel to the line 2x + 3y = 5

Answers

Answer:

Answer: 2x+3y=-14

Y needs to be changed in order to maintain parallelism

Good luck!

If Sophia earns $234.27 for working 9 hours in a day, how much does she earn per hour?

Answers

Answer:

$26.03

Step-by-step explanation:

$234.27/9=$26.03

can a system of linear equation have exactly 2 solutions ? why or why not?

Answers

Answer:

Under normal circumstances a system of two linear equations can have 0, 1 or infinitely many solutions.

Step-by-step explanation:

If you have a square with a perimeter of 18 inches, what is the area of the square after
scaling it by 7? Round to the nearest tenth is needed.

Answers

Answer:

992.3 in^2 to the nearest tenth.

Step-by-step explanation:

The new perimeter will be 7*18 = 126 inches.

So the side of the new square will be 126/4 = 31.5 inches,

and  it's area = 31,5^2

= 992.25

Can someone please find out what x is?

Answers

The answer would be x=2

Answer: x = 2

Simplify and Distribute

(−5)(4x)+(−5)(−2)=(−2)(3)+(−2)(6x)

−20x+10=−6+−12x

−20x+10=−12x−6

Adding 12x both sides.

−20x+10+12x=−12x−6+12x

−8x+10=−6

Subtract 10 both sides

−8x+10−10=−6−10

-8x = -16

Then divide both sides by 8

-8x/8 = -16/8

x=2

RT and UW are parallel lines. Which angles are vertical angles?​ help asap

Answers

Answer:

139 degrees

Step-by-step explanation:

I need help, -3x+9+4x=10 just wondering if the answer is X=1

Answers

Answer:

it's correct good job :)

Answer:

Step-by-step explanation:

Answer:  Fortunately, you don’t have to prove that x or y must be 1 or -1 in order for x*y to not be an element of G.

You only need to prove that x*y is an element of G for any x,y in G.  (That’s what it means for * to be an operation on G.)

I haven’t thought yet about how to prove that, but let me give you some thoughts off the top of my head.

We know -1 < x, y < 1.  We must show -1 < (x + y) / (xy + 1) and (x + y) / (xy + 1) < 1.

First, let’s show that -1 < (x + y) / (xy + 1).

I want to multiply xy + 1 to both sides, but we need to know whether it’s positive or not, so we know whether to reverse the inequality.

Well, -1 < x, y < 1 implies that xy > -1, which implies that xy +1 > 0.

So we must show that -(xy + 1) < x + y.

That is, let’s show that 0 < x + y + xy + 1.  (I don’t know if this is going anywhere useful; I’m just playing around with algebra.)

Find the distance between -12 and 25

Answers

Answer:

37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

You can use absolute value to solve this. l-12l+l25l=12+25=37

Absolute value is the distance from 0.

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