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(7-8z^(2)-11 z)+(15 z+1
If the given equation is true for all values of
z where
b is a constant, then what is the value of
b ?
Choose 1 answer:
(A) -5
(B) -4
(c) 4
(D) 5

$\left(7-8 z^{2}-11 z\right)+(15 z+1$ $\newline$ If the given equation is true for all values of $z$ where $b$ is a constant, then what is the value of $b$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-5$ $\newline$ (B) $-4$ $\newline$ (C) $4$ $\newline$ (D) $5$

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Domain and range

Full solution

Q.

\left(7-8 z^{2}-11 z\right)+(15 z+1

\newline

If the given equation is true for all values of

z

where

b

is a constant, then what is the value of

b

?

\newline

Choose

1

answer:

\newline

(A)

-5

\newline

(B)

-4

\newline

(C)

4

\newline

(D)

5

Simplify given expression: We need to simplify the given expression by combining like terms. $\newline$ $(7 - 8z^2 - 11z) + (15z + 1) = 7 - 8z^2 - 11z + 15z + 1$
Combine like terms: Now, we combine the constant terms and the $z$ terms. $7 + 1 - 8z^2 - 11z + 15z = 8 - 8z^2 + 4z$
Find constant term: The simplified expression is $8 - 8z^2 + 4z$ . Since the equation is true for all values of $z$ , and $b$ is a constant, we need to find the constant term in the simplified expression. $\newline$ The constant term is $8$ , so $b = 8$ .
Check answer choices: However, we need to check the answer choices to see if $8$ is one of them. Since $8$ is not an option, we must have made a mistake. Let's recheck our calculations.

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