Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Which expression is equivalent to the given expression?

-2x² + 8x - 9 + 4x + 7x² + 2

A. -5x² + 4x + 11
B. 5x² + 12x - 7
C. -9x² - 12x + 11
D. -9x² + 4x - 7

Sagot :

GinnyAnswer
Alright, let's simplify the given expression step by step:

Given expression:
[tex]\[ -2x^2 + 8x - 9 + 4x + 7x^2 + 2 \][/tex]

To simplify it, we need to combine the like terms. Like terms are terms that have the same variable raised to the same power.

1. Combine the [tex]\(x^2\)[/tex] terms:
[tex]\[ -2x^2 + 7x^2 = 5x^2 \][/tex]

2. Combine the [tex]\(x\)[/tex] terms:
[tex]\[ 8x + 4x = 12x \][/tex]

3. Combine the constant terms:
[tex]\[ -9 + 2 = -7 \][/tex]

So, by combining all of the like terms, the expression simplifies to:
[tex]\[ 5x^2 + 12x - 7 \][/tex]

Therefore, the equivalent expression is:

[tex]\[ \boxed{5x^2 + 12x - 7} \][/tex]

So, the correct option is:
[tex]\[ \text{B. } 5x^2 + 12x - 7 \][/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.