Answer:
![6 \sqrt[3]{5}](https://tex.z-dn.net/?f=6%20%5Csqrt%5B3%5D%7B5%7D)
Step-by-step explanation:
For the problem, ![\sqrt[3]{24} *\sqrt[3]{45}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%7D%20%2A%5Csqrt%5B3%5D%7B45%7D)
, use rules for simplifying cube roots. Under the operations of multiplication and division, if the roots have the same index (here it is 3) you can combine them.
![\sqrt[3]{24} *\sqrt[3]{45} = \sqrt[3]{24*45}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%7D%20%2A%5Csqrt%5B3%5D%7B45%7D%20%3D%20%5Csqrt%5B3%5D%7B24%2A45%7D)
You can multiply it out completely, however to simplify after you'll need to pull out perfect cubes. Factor 24 and 45 into any perfect cube factors which multiply to each number. If none are there, then prime factors will do. You can group factors together such as 3*3*3 which is 27 and a perfect cube.
![\sqrt[3]{24*45} =\sqrt[3]{3*8*5*3*3} = 6 \sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%2A45%7D%20%3D%5Csqrt%5B3%5D%7B3%2A8%2A5%2A3%2A3%7D%20%20%3D%206%20%5Csqrt%5B3%5D%7B5%7D)
Answer:
y=x
Step-by-step explanation:
domain: all real numbers
range: all real numbers
X/Y Intercept: (0,0)
Answer:
10%.
Step-by-step explanation:
Answer:
First Answer:
$15,060.
Second Answer:
9.96 miles.
Third Answer:
$3.27.
Step-by-step explanation:
First Question:
Cost of the rented car = 50 + 0.20 = $50.20
How much did Matt's family spend for the car:
1 mile = $50.20
300 miles = ?
300 × 50.20
= $15,060.
Second Question:
If Hayden spent $500 for her rented car, how many miles did she drive:
$50.20 = 1 mile
$500 = ?
500 ÷ 50.20 = 9.96 miles.
Third Question:
What is the cost per gallon of gas:
24 gallons = $78.48
1 gallon = ?
78.48 ÷ 24 = $3.27.
