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viva [34]
3 years ago
12

What is (f.g)(x)? f(x) = -2x + 3 g(x) = 2x Write your answer as a polynomial or a rational function in simplest form.​

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

-4x +3

Step-by-step explanation:

Given the functions f(x) = -2x + 3 and g(x) = 2x We are to find the composite function (f*g(x))

(f*g(x)) = f(g(x))

f(g(x)) = f(2x)

f(2x) = -2(2x) + 3

f(2x) = -4x +3

Hence f(g(x)) = -4x +3

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A projectile is fired into the air with an initial vertical velocity of 160 ft/sec from ground level. How many seconds later doe
djverab [1.8K]

The maximum height of the projectile is the maximum point that can be gotten from the projectile equation

The projectile reaches the maximum height after 5 seconds

The function is given as:

\mathbf{h(t) = -16t^2 + 160t}

Differentiate the function with respect to t

\mathbf{h'(t) = -32t + 160}

Set to 0

\mathbf{h'(t) = -32t + 160 = 0}

So, we have:

\mathbf{-32t + 160 = 0}

Collect like terms

\mathbf{-32t =- 160 + 0}

\mathbf{-32t =- 160}

Solve for t

\mathbf{t = \frac{- 160}{-32}}

\mathbf{t = 5}

Hence, the projectile reaches the maximum after 5 seconds

Read more about maximum values at:

brainly.com/question/6636648

8 0
3 years ago
One number is 8 more than another number, and their sum is 20. Find the numbers.
melomori [17]

Answer:

First number=6

Second number=14

Step-by-step explanation:

Let the first number be x

So the second number is x+8

So the sum of the two is

X+x+8=20

2x+8=20

2x=20-8

2x=12

X=12/2

=6

The second number will x+8

So 6+8=14

First number=6

Second number=14

6 0
3 years ago
Read 2 more answers
What is the scale factor from ADEF to AABC?<br> 10<br> 6<br> 20<br> 12<br> А<br> 7<br> 14
tigry1 [53]

Answer:

The scale factor is 1/2

Step-by-step explanation:

Given

\triangle DE F and \triangle ABC

Required

The scale factor from \triangle DE F to \triangle ABC

Take a corresponding side in both triangles.

We have:

DE= 20     AB = 10

The scale factor from \triangle DE F to \triangle ABC is:

k =\frac{AB}{DE}

k =\frac{10}{20}

k =\frac{1}{2}

8 0
3 years ago
Factorise the following quadratic equations ​
vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

In 13 - 17

Consider the factors of the constant term which sum to give the coefficient of the x- term

13

x² - x - 42 = (x - 7)(x + 6)

15

x² + x - 6 = (x + 3)(x - 2)

17

x² - 27x + 50 = (x - 25)(x - 2)

19

r² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

r² - 25

= r² - 5² = (r - 5)(r + 5)

5 0
3 years ago
Read 2 more answers
What is the value of 4/7 x 0.3 ÷ 1/6
Alik [6]
1.03 Is approximately your answer
5 0
4 years ago
Read 2 more answers
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