2 ways
zero product property
easy way

zero product
factor perfect square
m^2-3^2=0
(m-3)(m+3)=0
set each to zero
m-3=0
x=3

m+3=0
m=-3

m=-3 or 3

easy way
add 9 to both sides
m^2=9
sqrt both sides remember to take postive and negative roots
m=+/-3
m=-3 or 3

B is answer

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bx%20%2B%202%20%7D%20%20%3D%209%20%5Ctimes%28%20%20%7B2%7D%5E%7Bx%7D%20%29%20-%

nataly862011 [7]

Hello, please consider the following.

${2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\\\\2^x \cdot 2^2=9\cdot 2^x-2\\\\(9-4)2^x = 2\\\\2^x=\dfrac{2}{5}\\\\\text{We take the ln.}\\\\xln(2)=ln(2)-ln(5)\\\\x=\dfrac{ln(2)-ln(5)}{ln(2)}=-1.32193...$

Let me know if you need further explanation.

Thank you

7 0

3 years ago

Four people equally share 3/4 of a whole pizza. What fractional part of the whole pizza does each person receive?

Ugo [173]

Answer:

3/16

Step-by-step explanation:

6 0

3 years ago

Which choice best represents the balance of a savings account at the end of 6 years if the simple interest earned each year is 6

Amiraneli [1.4K]

Answer:

$507.00.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6.5%/100 = 0.065 per year,

then, solving our equation

I = 1300 × 0.065 × 6 = 507

I = $ 507.00

The simple interest accumulated

on a principal of $ 1,300.00

at a rate of 6.5% per year

for 6 years is $ 507.00.

4 0

2 years ago