Use this rule: <em>(x^a)^b = x^ab</em>
3(x + 2)^3/5 + 2 = 27
Subtract 3 from both sides
3(x + 2)^3/5 = 27 - 3
Simplify 27 - 3 to 24
3(x + 2)^3/5 = 24
Divide both sides by 3
(x + 2)^3/5 = 24/3
Simplify 24/3 to 8
(x + 2)^3/5 = 8
Take the cube root of both sides
x + 2 = 3/5√8
Invert and multiply
x + 2 = 8^5/3
Calculate
x + 2 = 2^5
Simplify 2^5 to 32
x + 2 = 32
Subtract 2 from both sides
x = 32 - 2
Simplify 32 - 3 to 30
<u>x = 30</u>
Answer: (-9,-1)
Step-by-step explanation:
Answer:
2.13 X 104 square acres
Step-by-step explanation:
Divide 6.4 acres by 3 miles = factor of 2.13
Therefore the answer must be 2.13 X 104 square acres
Answer:
7 < y
Step-by-step explanation:
The relation you're interested in is ...
(4.5 -2y)/5 < (2 -3y)/10
9 -4y < 2 -3y . . . . . . . . . multiply by 10
7 < y . . . . . . . . . . . . . . . . add 4y-2
The value of the first fraction will be less than that of the second fraction for values of y greater than 7.
