Type the correct answer in each box. Consider the expressions shown below.
А.
B
C с
-872
-
3.5 + 4812
3r + 8 8r2 + 3r
4
Complete each of the following statements with the letter that represents the expression.
-
(3x2 7x + 14) + (5x2 + 41 6) is equivalent to expression
(2x2 – 5x – 3) + (-10x2 + 2x + 7) is equivalent to expression
(12t2 – 2x – 13) + (-4x2 + 5x + 9) is equivalent to expression

Answer/Step-by-step explanation:

✔️(3x² - 7x + 14) + (5x² + 4x - 6)

3x² - 7x + 14 + 5x² + 4x - 6 (distributive property)

Add like terms

3x² + 5x² - 7x + 4x + 14 - 6

8x² - 3x + 8

Therefore:

✅(3x² - 7x + 14) + (5x² + 4x - 6) is equivalent to expression 8x² - 3x + 8.

✔️(2x² - 5x - 3) + (-10x² + 2x + 7)

2x² - 5x - 3 - 10x² + 2x + 7 (distributive property)

Add like terms

2x² - 10x² - 5x + 2x - 3 + 7

-8x² - 3x + 4

Therefore:

✅(2x² - 5x - 3) + (-10x² + 2x + 7) is equivalent expression to -8x² - 3x + 4

✔️(12x² - 2x - 13) + (-4x² + 5x + 9)

12x² - 2x - 13 - 4x² + 5x + 9

12x² - 4x² - 2x + 5x - 13 + 9

8x² + 3x - 4

Therefore:

✅(12x² - 2x - 13) + (-4x² + 5x + 9) is equivalent expression to 8x² + 3x - 4

B, A, C

Step-by-step explanation:

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.