Answer:
A
Step-by-step explanation:
So we have the equation:
First, let's subtract 16 from both sides:
Now, let's divide both sides by 3:
Remember that with fractional exponents, we can move the denominator into the root position. Therefore:
![(\sqrt[3]{x-4})^4=16](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx-4%7D%29%5E4%3D16)
Let's take the fourth root of both sides. Since we're taking an even root, make sure to have the plus-minus symbol!
![\sqrt[3]{x-4} =\pm 2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-4%7D%20%3D%5Cpm%202)
Cube both sides. Since we're cubing, the plus-minus stays.
Add 4 to both sides.
Calculator:
So, our answer is A.
And we're done!
Step-by-step explanation:
(a)90 by 10%
90+10% of 90=90(1+0.1)=99
(b)60 by 25%
60(1+0.25)=75
(c)80 by 75%
80(1+0.75)=140
(e)110 by 60%
110(1+0.6)=176
(f)480 by 115%
480(1+1.15)=1032
(g)140 by 45%
140(1+0.45)=203
g) c=1.98w is your answer
w = weight = 5.5
c = cost = 10.89
10.89 = 1.98(5.5)
10.89 = 10.89 (true)
hope this helps
Answer:
use formula
Step-by-step explanation:
distance between the points A and B=
√((x2-x1)²+(y2-y1)²)
Answer:
x=12
Step-by-step explanation:
Simplifying
30 + 4x + 2 = 8 + 6x
Reorder the terms:
30 + 2 + 4x = 8 + 6x
Combine like terms: 30 + 2 = 32
32 + 4x = 8 + 6x
Solving
32 + 4x = 8 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
32 + 4x + -6x = 8 + 6x + -6x
Combine like terms: 4x + -6x = -2x
32 + -2x = 8 + 6x + -6x
Combine like terms: 6x + -6x = 0
32 + -2x = 8 + 0
32 + -2x = 8
Add '-32' to each side of the equation.
32 + -32 + -2x = 8 + -32
Combine like terms: 32 + -32 = 0
0 + -2x = 8 + -32
-2x = 8 + -32
Combine like terms: 8 + -32 = -24
-2x = -24
Divide each side by '-2'.
x = 12
Simplifying
x = 12
