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Dennis_Churaev [7]
4 years ago
7

Find (f∘g)(x). f(x)=5x+1 g(x)=2x Write your answer as a polynomial in simplest form.

Mathematics
1 answer:
vladimir2022 [97]4 years ago
4 0
(f o g)=f(g(x))
just sub
f(g(x))
sub g(x) for x in f(x)
g(x)=2x
2x=x in f(x)
f(g(x)=f(2x)=5(2x)+1=10x+1

(f o g)=10x+1
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Rewrite the equation in Ax+By=C form Use the integers for A, B, and C <br><br><br>y=1/2x+6
Inessa05 [86]

The equation in required form is: -x+2y = 12

Step-by-step explanation:

Given equation is:

y = \frac{1}{2}x+6

In order to convert the equation in Ax+By = C

Multiplying both sides by 2

2y = \frac{1}{2}x * 2 + 6*2\\2y = x + 12

subtracting x from both sides

2y-x = x-x+12\\2y-x = 12\\-x+2y = 12

Hence,

The equation in required form is: -x+2y = 12

Keywords: Linear equation, slope

Learn more about linear equation at:

  • brainly.com/question/899976
  • brainly.com/question/884169

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8 0
3 years ago
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Dmitriy789 [7]
Yes it’s still a line segment. The shape didn’t change in size.
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3 years ago
A ball is thrown vertically upward from the top of a building 64 feet tall with an initial velocity of 48 feet per second. The d
Klio2033 [76]

Answer:

a) t = 4 secs

b) t = 3 secs

Step-by-step explanation:

h = 64 ft

Initial velocity = 48 ft/s

S = 64 + 48t - 16t^2

a) Set S = 0 and solve for t

0 = 64 + 48t - 16t^2

Divide through by 16

0 = 4 + 3t - t^2

t^2 - 3t - 4 = 0

t^2 - 4t + t - 4 = 0

t(t - 4) + 1(t - 4) = 0

(t + 1) (t - 4) = 0

t + 1 = 0 or t - 4 = 0

t = -1 or t = 4

t = {-1,4}

t = 4 seconds

b) Set S = 64 and solve for t

64 = 64 + 48t - 16t^2

64 - 64 = 48t - 16t^2

0 = 48t - 16t^2

Divide through by 16

0 = 3t - t^2

t^2 - 3t = 0

t(t - 3) = 0

t = 0 or t-3 = 0

t = 0 or t = 3

t = {0,3}

t = 3 secs

6 0
3 years ago
Is this congruent ? Help please will mark brainliest
Lena [83]

Answer:

Yes, they are congruent.

Step-by-step explanation:

Congruent segments are segments whose lengths are equal.

You plotting of the points is correct.

Now look at the length of each segment.

Points R and S are both on the same horizontal line since their y-coordinates are both equal, 7. The distance from 3 to 6 is 3, so the length of segment RS is 3.

Points T and U are both on the same vertical line since their x-coordinates are both equal, 5. The distance from -3 to 0 is 3, so the length of segment TU is 3.

The lengths of segments RS and TU are both 3, which makes them equal. That makes the segments congruent.

Answer: Yes, they are congruent.

5 0
3 years ago
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sveta [45]

Answer:

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Step-by-step explanation:

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