You would multiply the power by the powers of both exponents
2 × 3 = 6 so a^6
3 × 4 = 12 so b^12
Answer is
a^6b^12
The inverse of the function is f(x) = 
+ 8
In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.
f(x) = ![\sqrt[3]{x - 8}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%20-%208%7D%20%20)
----> Switch f(x) and x
x = ![\sqrt[3]{f(x) - 8}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bf%28x%29%20-%208%7D%20%20)
----> Cube both sides
= f(x) - 8 ----> Add 8 to both sides
f(x) = + 8
Answer:
(m - 10)(m - 2)
Step-by-step explanation:
We need 2 numbers whose product is + 20 and whose sum = -12. They are -10 and -2. These go into the 2 parentheses:
(m - 10)( m - 2).
Answer:
I = 2,340
Step-by-step explanation:
The formula for interest is
I = P × R × T / 100
P = $5200
R = 15%
T= 36 months; T is meant to be in years so we will convert it from months to years
1 year = 12 months
So 36 months
= 36 /12 = 3 years
I = (5200 × 15 × 3)/100
I = 234,000 / 100
I = 2,340
Answer:
238 miles
Step-by-step explanation:
340 miles = 5 hours
So get 1 hour by dividing by 5 on both sides
5/5 = 1 hr
340/5 = 68
So in 1 hour they travel 68 miles
You want to find 3 1/2 hours
Do 68 x 3 to get 3 hours
So it would be 68 x 3 =204
Plus the half an hour - which you get by doing 68/2 = 34
<em>68 = 1 hour, so half of that must be half an hour</em>
So to get the final distance you do 204 (3 hours) +34 (half an hour)
204 + 34 =238
