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MAXImum [283]
4 years ago
12

Let f(x)=4x^2+13x-12 and g(x)=x+4. Perform the function operation F•g(x) Please help!!!

Mathematics
2 answers:
earnstyle [38]4 years ago
8 0

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

The product of two functions=f(x)·g(x)=fg(x)

Use FOIL method to simplify expression.

  • First
  • Outer
  • Inner
  • Later

 f(x)·g(x)

=(4x²+13x-12)·(x+4)

=4x³+16x²+13x²+52x-12x-48

=4x³+29x²+40x-48

ruslelena [56]4 years ago
4 0

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

To solve f(x)·g(x), you multiply them together.

(4x²+13x-12)(x+4)                           [distribute by FOIL]

4x³+16x²+13x²+52x-12x-48          [combine like terms]

4x³+29x²+40x-48

Now, we know that f(x)·g(x)=4x³+29x²+40x-48.

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PLEASE HELP !!!!!!!
N76 [4]

Answer:

(B) Time (min) 2 , 3 , 7 , 9

Temperature (°C) 60.6 , 64.3 , 79.1 , 86.5

Step-by-step explanation:

The rate of change is found by using the formula for slope:

m=\frac{y_2-y_1}{x_2-x_1}

For option A, this gives us

m =(64.4-61.0)/(3-2) = 3.4/1 = 3.4

This is not more than relationship A.

For option B, we have

(64.3-60.6)/(3-2) = 3.7/1 = 3.7

This is more than relationship A.

For option C, we have

(65.3-61.8)/(3-2) = 3.5/1 = 3.5

This is not more than relationship A.

For option D, we have

(64.6-61.0)/(3-2) = 3.6/1 = 3.6

This is not more than relationship A.

7 0
3 years ago
Read 2 more answers
WALLAHI HELP ME PLEASE HELP ME WALLAHI
skelet666 [1.2K]

Answer: A

Step-by-step explanation:  SORRY IF I GET IT WRONG

4 0
3 years ago
If f(x) = x-1/3 and g(x)= 3x+1, what is (f o g)(x)?
N76 [4]

Answer:

(f o g)(x) = 3x + \frac{2}{3}

Step-by-step explanation:

We have the function f(x) = x-\frac{1}{3} and we have the function g(x) = 3x + 1. We want to find g(x) composed with f(x)

Then, the function (f o g)(x) is the same since f(g(x))

That is, you must do x = g(x) and then enter g(x) into the function f(x).

f(g(x)) = (g(x)) -\frac{1}{3}

f(g(x)) = (3x + 1) -\frac{1}{3}

Simplifying, we obtain:

(f o g)(x) = 3x + 1 -\frac{1}{3}\\\\(f o g)(x) = 3x + \frac{2}{3}

Finally. The composite function is:

(f o g)(x) = 3x + \frac{2}{3}

6 0
3 years ago
Help meee ASAP!!!! Pls
Vedmedyk [2.9K]

Answer:

2/5

Step-by-step explanation:

I found two point and counted the Y change and the X change. Rise over run.

5 0
3 years ago
Read 2 more answers
A cylinder has a radius of 20 cm and a height of 2 cm. Find the height of another cylinder that has a radius of 4 cm and the sam
iogann1982 [59]

Answer:

The height of the another cylinder 'h'  = 7

Step-by-step explanation:

<u>Explanation</u>:-

<u>Step 1:-</u>

Surface area of the cylinder  = 2пrh + 2пr^2

Given radius of first cylinder is 20cm

given height of the first cylinder is 2 cm

The surface area of first cylinder is = 2пrh + 2пr^2

                                                          = 2п(20)(2)+2п(2)^2

                                                          = 4п(20+2)

The surface area of first cylinder is  88п

<u>Step 2</u>:

given data The surface area of first cylinder is  88п is same as second cylinder also

<u>Find the height of the second cylinder</u>

Given Radius of the second cylinder r = 4

Surface area of the cylinder  = 2пrh + 2пr^2 = 88п

                                                   2п(4)h+2п(4)^2 =88п

on simplification we get

                                   2п (4h+16) = 88п

after cancellation '2п' value and on simplification, we get

                                    4h+16 = 44

                                    4h = 44-16

                                  4h = 28

                                 h=7

Therefore the height of the another cylinder is 'h' =7

                                   

3 0
3 years ago
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