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2 years ago

Let f(x) = 16 - x^2, g(x) = 4 - x. Find (fg)(x) and its domain.

Mathematics

1 answer:

timofeeve [1]2 years ago

5 0

Answer:

(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers

Step-by-step explanation:

(fg)(x) = f(x) x g(x)

= 16-x^2(4-x)

=64-16x-4x+x^3

(fg)(x) = x^3-4x^2-16x+64

Domain is all real numbers because you can substitute any real number for x and the function would still work.

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0.2(-4–2.5b–7c). write the product

Xelga [282]

Answer:

-0.8 - 0.5b - 1.4c

Step-by-step explanation:

Take the b and the c away

Then times the 0.2 by all the numbers but don't add them

Once your done you and the b and c back to you equation

4 0

2 years ago

Evaluate expressions-What should go in the blank spot

gladu [14]

Answer:

$10$

Step-by-step explanation:

$0.08 {x}^{3}$

$0.08( {5)}^{2}$

$0.08 \times 125$

$10$

<h3>Hope it is helpful...</h3>

4 0

2 years ago

Selena was comparing the flying speeds of different birds in science class. Which of the three birds flies fastest? Why?

Mashcka [7]

Answer:

Option C. The robin flies fastest because its rate is 15 m/s

Step-by-step explanation:

Let

x -----> the time in seconds

y ----> the distance in meters

The speed is equal to divide the distance by the time

In this problem, the slope or unit rate of the linear equation is the same that the speed

<em>Robin's Flight</em>

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the table

(2,30) and (3,45)

substitute in the formula

$m=\frac{45-30}{3-2}$

$m=\frac{15}{1}$

$m=15\frac{m}{sec}$

<em>Cardinal's Flight</em>

$y=10x$

$m=10\frac{m}{sec}$

<em>Blue Jay's Flight</em>

take two points from the graph

(0,0) and (2,20)

substitute in the formula

$m=\frac{20-0}{2-0}$

$m=\frac{20}{2}$

$m=10\frac{m}{sec}$

Compare

The robin flies fastest because its rate is 15 m/s

4 0

3 years ago

Three years ago, Jolene bought $625 worth of stock in a software company. Since then the value of her

Lesechka [4]

Answer:

The stock is worth 765.65 today.

Step-by-step explanation:

$$625*1.07^{3}$ =765.65

8 0

2 years ago

-⅕ (10-5+25x)<br> Please help!

Yanka [14]

Answer:

- $-\frac{1}{5} * (5+25x)\\-\frac{1}{5} *5-\frac{1}{5}(25x)\\-1-\frac{1}{5}(25x)\\-1 -1 (5x)\\01-5x$

Step-by-step explanation:

7 0

3 years ago