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:

3,000,540

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places