Question: Simplify: (3x^3)^2
Step by Step:
STEP 1 : Equation at the end of step 1
(3x³)²
STEP2:
2.1 x³ raised to the 2 nd power = x( 3 * 2 ) = x⁶
Answer: 3²x⁶
Hope it Helps.
I hope this helps..... ;)
Let x be the number of movies purchased. If each movie you purchase costs $3.50 dollars, this means that the total cost of x movies in one month is $3.50x
In addition, you have to pay $40 for satellite TV. We can now find an equation to find the total cost per month:
40 + 3.50x
Now, by hypothesis, you paid $57.50 during a month as a total bill.
Which means that 40 + 3.50x = 57.50
We need to find the number of movies purchased during that month, or, in mathematical words, we need to solve for x.
40 + 3.50x = 57.50
First, let's put the variables apart and the numbers apart by subtraction 40 from each side, so we get:
40 - 40 + 3.50x = 57.50 - 40
3.50x = 17.50
Now divide both sides by 3.50
(3.50x)/(3.50) = 17.50 / 3.50
x = 5
So, during that month, you purchased 5 movies.
Hope this helps! :)
Side-angle-side similarity means that when two triangles have corresponding angles that are congruent and corresponding sides with identical ratios we can say that the triangles are similar. So UV/XY and WV/ZY are equivalent and therefore, angle V equals angle Y is the correct answer.
Answer: 16⅔ yds by 25 yds
Step-by-step explanation:
Let x be the length of 3 fence sections
Let y be the length of 2 fence sections
A = xy
3x + 2y = 100
y = 50 - 1.5x
A = x(50 - 1.5x) = 50x - 1.5x²
dA/dx = 50 - 3x
0 = 50 - 3x
3x = 50
x = 50/3 = 16⅔ yds
y = 50 - 1.5(16⅔) = 25 yds
