If W(x)=0.25x^(2)+0.2 x and V(x)=100 x+40, which of the following is equal to W(x)*V(x) ? Choose 1 answer: (A) 0.25x^(2)+99.8 x+40 (B) 25x^(3)+30x^(2)+8x (c) 0.25x^(2)+20 x+40 (D) 25x^(3)+10x^(2)+20 x+8

Write functions: Write down the given functions. W(x) = 0.25x^2 + 0.2x V(x) = 100x + 40Multiply functions: Multiply the functions W(x) and V(x) together using the distributive property (FOIL method for binomials). W(x) * V(x) = (0.25x^2 + 0.2x) * (100x + 40)Distribute terms: Distribute each term in the first polynomial by each term in the second polynomial. W(x) * V(x) = (0.25x^2 * 100x) + (0.25x^2 * 40) + (0.2x * 100x) + (0.2x * 40)Perform multiplication: Perform the multiplication for each term. W(x) * V(x) = 25x^3 + 10x^2 + 20x^2 + 8xCombine like terms: Combine like terms. W(x) * V(x) = 25x^3 + (10x^2 + 20x^2) + 8x W(x) * V(x) = 25x^3 + 30x^2 + 8xMatch with choices: Match the result with the given choices. The correct answer is (B) 25x^3 + 30x^2 + 8x.

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If
W(x)=0.25x^(2)+0.2 x and
V(x)=100 x+40, which of the following is equal to
W(x)*V(x) ?
Choose 1 answer:
(A)
0.25x^(2)+99.8 x+40
(B)
25x^(3)+30x^(2)+8x
(c)
0.25x^(2)+20 x+40
(D)
25x^(3)+10x^(2)+20 x+8

If $W(x)=0.25 x^{2}+0.2 x$ and $V(x)=100 x+40$ , which of the following is equal to $W(x) \cdot V(x)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $0.25 x^{2}+99.8 x+40$ $\newline$ (B) $25 x^{3}+30 x^{2}+8 x$ $\newline$ (C) $0.25 x^{2}+20 x+40$ $\newline$ (D) $25 x^{3}+10 x^{2}+20 x+8$

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Math Problems

Algebra 1

Compare linear and exponential growth

Full solution

Q. If

W(x)=0.25 x^{2}+0.2 x

and

V(x)=100 x+40

, which of the following is equal to

W(x) \cdot V(x)

\newline

Choose

1

answer:

\newline

(A)

0.25 x^{2}+99.8 x+40

\newline

(B)

25 x^{3}+30 x^{2}+8 x

\newline

(C)

0.25 x^{2}+20 x+40

\newline

(D)

25 x^{3}+10 x^{2}+20 x+8

Write functions: Write down the given functions. $\newline$ $W(x) = 0.25x^2 + 0.2x$ $\newline$ $V(x) = 100x + 40$
Multiply functions: Multiply the functions $W(x)$ and $V(x)$ together using the distributive property (FOIL method for binomials). $\newline$ $W(x) \cdot V(x) = (0.25x^2 + 0.2x) \cdot (100x + 40)$
Distribute terms: Distribute each term in the first polynomial by each term in the second polynomial. $\newline$ $W(x) \cdot V(x) = (0.25x^2 \cdot 100x) + (0.25x^2 \cdot 40) + (0.2x \cdot 100x) + (0.2x \cdot 40)$
Perform multiplication: Perform the multiplication for each term. $\newline$ $W(x) \times V(x) = 25x^3 + 10x^2 + 20x^2 + 8x$
Combine like terms: Combine like terms. $\newline$ $W(x) \cdot V(x) = 25x^3 + (10x^2 + 20x^2) + 8x$ $\newline$ $W(x) \cdot V(x) = 25x^3 + 30x^2 + 8x$
Match with choices: Match the result with the given choices. $\newline$ The correct answer is (B) $25x^3 + 30x^2 + 8x$ .