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otez555 [7]
3 years ago
8

Given that f(x)=x^2-4x -3 and g(x)=x+3/4 solve for f(g(x)) when x=9

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
7 0

Answer:

f(g(9)) = 945/16

Step-by-step explanation:

To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).

g(x) = x + 3/4

f(x) = x² - 4x - 3

f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3

f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3

f(g(x)) = x² - 5/2x + 9/16 + 3 - 3

f(g(x)) = x² - 5/2x + 9/16

Now, put a 9 wherever there is an x in f(g(x)).

f(g(9)) = (9)² - 5/2(9) + 9/16

f(g(9)) = 81 - 5/2(9) + 9/16

f(g(9)) = 81 - 45/2 + 9/16

f(g(9)) = 117/2 + 9/16

f(g(9)) = 945/16

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jolli1 [7]

Answer:

Acceleration equals zero because of constant velocity

f - fr = ma \\ 70 \cos(30)  - fr = 0 \\ 70 \cos(30)  = fr \\  fr \: = 60.62

coefficient

Fr = coefficient × r

60.62= ce ×100

0.60 = coefficient

6 0
3 years ago
Is -9.1234567 rational
Wittaler [7]

The short answer: yes.

Explanation: every rational number can be expressed as, well, a ratio. For instance, 5 can be expressed as 5/1 and 1.75 can be expressed as 7/4. Irrational numbers are not rational. For instance, pi... there is no ration for pi.

8 0
3 years ago
Read 2 more answers
Last month Maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. Let x re
professor190 [17]
Number of times she climbed 5-mile mountain trail = x
Number of times she climbed 10-mile trail = y
total distance of the 5-mile mountain trail will be = 5*x =5x
total distance of the 10-mile mountain trail will be  = 10*y = 10y
equation  that can be used to find the number of times she hiked each trail is therefore
5x + 10y = 90
6 0
3 years ago
The slope of the line containing the points (-2,3) and (-3,1) is
Irina18 [472]

To calculate the slope containing two points, we can use that formula:


\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}


"m" represents the slope and coordinates are expressed as follows: (x, y)


Let's go to the calculations.


\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}\\\\\\ \mathsf{m=\dfrac{1-3}{-3-(-2)}}\\\\\\ \mathsf{m=\dfrac{-2}{-3+2}}\\\\\\ \mathsf{m=\dfrac{-2}{-1}}\\\\\\ \mathsf{m=\dfrac{2}{1}}\\\\\\ \underline{\mathsf{m=2}}


The answer is 2 uc.

5 0
3 years ago
Can someone pls help me 2-7 thank u :)
kolbaska11 [484]
2. 27
3. 13
4. 35
6. 22
7. 60

I was unable to help with 5 because of the plot box!! Hope this helps
8 0
3 years ago
Read 2 more answers
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