Ok so in order to do these, you need to make the bases the same. Since 3^2 is 9, you can make that side of the equation look like 3^2(x+5). Now, you have 3^x=3^2(x+5). Since the bases are the same, you can drop those. Your equation will now look like x=2(x+5). All that is left to do now is solve. x=2x+10 -> -10=x

4 0

3 years ago

Which value is the reciprocal of −238?

ch4aika [34]

The answer is -1/238

5 0

3 years ago

Liam is saving up for a new cell phone. He uses the equation P= I + HB, where P is the cost

Stels [109]

Answer:

$H=\dfrac{P-I}{B}$

Step-by-step explanation:

Given the expression: P= I + HB

Where:

P = cost of the phone Liam is saving for.
I = amount of money he started with.
H = number of hours he babysits
B = hourly rate for babysitting.

We want to find an expression for H, the number of hours Liam will need to babysit to save enough money for a cell phone.

Our goal is to isolate the variable H in the expression P= I + HB.

P= I + HB

Subtract I from both sides

P-I=I-I+HB

HB=P-I

Divide both sides by B

$\dfrac{HB}{B} =\dfrac{P-I}{B}\\\\$Therefore\\\\H=\dfrac{P-I}{B}$

4 0

3 years ago

What is the quotient of -8a^8b^-2/10a^-4b^-10 in simplified form? Assume a=0 b=0 A.) -4a^12b^8/5 B.)-4a^32b^5/5 C.)a^12b^8/80 D.

Naily [24]

-8a^8b^-2/10a^-4b^-10

= (-8/10) a^(8+4)b^(-2+10)

= -4/5 a^12 b^8

=-4 a^12 b^8 / 5

Answer is A.) -4 a^12 b^8 / 5

4 0

3 years ago

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