(-9x^(2)+3x+9)-(-2x^(2)+3x-2)=ax^(2)+bx+c where a,b, and c are constants. What is the value of b ? Choose 1 answer: (A) -7 (B) 6 (C) 0 (D) 11

Distribute negative sign: First, we need to distribute the negative sign to the terms inside the second set of parentheses. (-9x^(2) + 3x + 9) - (-2x^(2) + 3x - 2) = (-9x^(2) + 3x + 9) + (2x^(2) - 3x + 2)Combine like terms: Next, we combine like terms by adding the coefficients of the x^2 terms, the x terms, and the constant terms separately. (-9x^(2) + 2x^(2)) + (3x - 3x) + (9 + 2) = -7x^(2) + 0x + 11Identify coefficients: Now we can identify the coefficients a, b, and c in the expression ax^(2) + bx + c. a = -7, b = 0, c = 11Find value of b: We are asked to find the value of b. From our previous step, we have determined that b = 0.

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(-9x^(2)+3x+9)-(-2x^(2)+3x-2)=ax^(2)+bx+c
where
a,b, and
c are constants. What is the value of
b ?
Choose 1 answer:
(A) -7
(B) 6
(C) 0
(D) 11

$\left(-9 x^{2}+3 x+9\right)-\left(-2 x^{2}+3 x-2\right)=a x^{2}+b x+c$ $\newline$ where $a, b$ , and $c$ are constants. What is the value of $b$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-7$ $\newline$ (B) $6$ $\newline$ (C) $0$ $\newline$ (D) $11$

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Math Problems

Algebra 1

Transformations of quadratic functions

Full solution

\left(-9 x^{2}+3 x+9\right)-\left(-2 x^{2}+3 x-2\right)=a x^{2}+b x+c

\newline

where

a, b

, and

c

are constants. What is the value of

b

\newline

Choose

1

answer:

\newline

(A)

-7

\newline

(B)

6

\newline

(C)

0

\newline

(D)

11

Distribute negative sign: First, we need to distribute the negative sign to the terms inside the second set of parentheses. $\newline$ $(-9x^{2} + 3x + 9) - (-2x^{2} + 3x - 2)$ $\newline$ = $(-9x^{2} + 3x + 9) + (2x^{2} - 3x + 2)$
Combine like terms: Next, we combine like terms by adding the coefficients of the $x^2$ terms, the $x$ terms, and the constant terms separately. $\newline$ $(-9x^{2} + 2x^{2}) + (3x - 3x) + (9 + 2)$ $\newline$ $= -7x^{2} + 0x + 11$
Identify coefficients: Now we can identify the coefficients $a$ , $b$ , and $c$ in the expression $ax^{2} + bx + c$ . $\$a = -7$ , $b = 0$ , $c = 11$ \)
Find value of $b$ : We are asked to find the value of $b$ . From our previous step, we have determined that $b = 0$ .