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Luda [366]
3 years ago
7

Simplify the expression. (3x/y)^-3

Mathematics
1 answer:
AysviL [449]3 years ago
6 0

Answer:

y^3/(27 x^3)

Step-by-step explanation:

Simplify the following:

((3 x)/y)^(-3)

((3 x)/y)^(-3) = (y/(3 x))^3:

(y/(3 x))^3

Multiply each exponent in y/(3 x) by 3:

(y^3)/((3 x)^3)

Multiply each exponent in 3 x by 3:

y^3/(3^3 x^3)

3^3 = 3×3^2:

y^3/(3×3^2 x^3)

3^2 = 9:

y^3/(3×9 x^3)

3×9 = 27:

Answer:  y^3/(27 x^3)

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I really need some help. I need to find the inverse of this equation in the picture below. Thanks!
serg [7]

Answer:

y=81x^4+648x^3+1944x^2+2592x+1289

Step-by-step explanation:

1. Interchange x and y.

  • y=\frac{\sqrt[4]{x+7}}{3}-2
  • x=\frac{\sqrt[4]{y+7}}{3}-2

2. Then solve x=\frac{\sqrt[4]{y+7}}{3}-2 for y.

3. y=81x^4+648x^3+1944x^2+2592x+1289

I hope this helps.

4 0
3 years ago
In the diagram below, trapezoid ABCD maps to trapezoid A’B’C’D’
snow_tiger [21]

Answer:

C'

Step-by-step explanation:

Given

ABCD to A'B'C'D'

Required

Corresponding angle of C

ABCD to A'B'C'D' means that the following angles are corresponding

A \to A'

B \to B'

C \to C'

D \to D'

Hence, C' corresponds to C

6 0
3 years ago
Read 2 more answers
Three friends share a pizza.one eighth falls on the fall and is thrown away.the remainder is shared equally..what fraction of th
maria [59]
If one eighth of the pizza falls, that leaves seven eights of the pizza to be shared:

1\ (whole\ pizza) -\frac{1}{8}=\frac{7}{8}

If the 7/8 pizza is shared between three people, then you have to divide 7/8 by 3. We know that dividing a fraction by 3 is the same as multiplying by 1/3:

\frac{7}{8} \div 3\\\\\frac{7}{8}*\frac{1}{3}\\\\\frac{7*1}{8*3}\\\\frac{7}{24}

Therefore, each person gets 7/24 of the whole pizza.
3 0
3 years ago
12) Josh has $252 in his bank account. This is $12 more than 6 times the amount of money
OLga [1]

Answer:

40

Step-by-step explanation:

(252-12)/6=40

7 0
3 years ago
The drawing shows a concrete walkway around a pool. what is the total area of the concrete?
Verizon [17]

25 x 13 = 325

20x 8 = 160

325-160 = 165 square feet

 answer is A

3 0
3 years ago
Read 2 more answers
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