If c(x) = 4x – 2 and d(x) = x2 5x, what is (cd)(x)? 4x3 18x2 – 10x x2 9x – 2 16x2 4x – 6 4x2 20x – 2

2 answers:

4 0

The fundamental formula is (cd)(x) = c(x) × d(x) 
Given c(x) = 4x – 2 and d(x) = x² + 5x,
then (cd)(x) = (4x – 2)(x² + 5x) = 4x³ + 20x² - 2x² - 10x = 4x³ + 18x² - 10x
Hence, the solution is A: 4x³ + 18x² - 10x

lawyer [12.5K]1 month ago

4 0

Answer:

The correct choice is the first option.

$(cd)(x) = 4x^3+18x^2-10x$

Detailed solution:

We are given the following functions:

$c(x) = 4x-2$

$d(x) = x^2+5x$

Our goal is to determine $(cd)(x)$ .

$(cd)(x) = c(x)d(x)$

Next,

$(cd)(x) = (4x-2)(x^2+5x) = 4x(x^2+5x)-2(x^2+5x)$

Use the distributive property, which means $a \cdot (b+c) =a\cdot b+ a\cdot c$

$(cd)(x) = 4x^3+20x^2-2x^2-10x$

Group like terms together;

$(cd)(x) = 4x^3+18x^2-10x$

apologies if incorrect..

6 0

2 days ago

Points X(6, 8), Y(3, 3), and Z(13, –3) form a triangle. What is the area of △XYZ?

AnnZ [12381]

Answer:

23(6,8)(3,3)(13-3)(-3-)

Step-by-step explanation:

3-6=8-3

+13-3=

5 0

1 month ago

A periscope is 5 feet above the surface of the ocean. Through it can be seen a ship that rises to 50 feet above the water. To th

PIT_PIT [12445]

The maximum distance visible on Earth is calculated using the formula $d=\sqrt{8,000h_1} + \sqrt{8,000h_2}$

$h_1$ = your initial height and $h_2$ = your secondary height

In this case, $h_1=5$ represents the height of the periscope and $h_2=50$ denotes the height of the ship, leading us to a distance of 832.45553203368 feet. However, rounding to the nearest mile yields the answer as $11^a^0$