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olga nikolaevna [1]
3 years ago
12

Simplify the expression.

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0

Answer:

\large\boxed{D.\ 2x^2y\sqrt[5]{7xy^3}}

Step-by-step explanation:

\sqrt[5]{224x^{11}y^8}\\\\=\sqrt[5]{(32)(7)x^{5+5+1}y^{5+3}}\\\\\text{use}\ a^na^m=a^{n+m}\\\\=\sqrt[5]{(2^5)(7)x^5x^5x^1y^5y^3}\\\\\text{use}\ \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\=\sqrt[5]{2^5}\cdot\sqrt[5]{x^5}\cdot\sqrt[5]{x^5}\cdot\sqrt[5]{y^5}\cdot\sqrt[5]{7xy^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=2\cdot x\cdot x\cdot y\cdot\sqrt[5]{7xy^3}\\\\=2x^2y\sqrt[5]{7xy^3}

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NEED HELP ASAP WILL GIVE BRAINLIEST
luda_lava [24]
I think its D because don’t functions only have 1 equation?
5 0
3 years ago
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Which fraction is equivalent to the whole number 8?<br> A.1/8<br> B.2/10<br> C.12/8<br> D.16/2
Tom [10]

Answer:

D: 16/2

Step-by-step explanation:

you take 16 and divide it by 2 making your answer 8

8 0
3 years ago
PLEASE HELP ASAP
BaLLatris [955]

The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.

<h3>How to find the find the dilation factor</h3>

In this problem we have the following relationship bewteen the two <em>quadratic</em> equations: g(x) = f(k · x), which means that for all y the following relationship between f(x) and g(x):

k = \frac{x_{g}}{x_{f}}

Let suppose that y = 3, then x_{f} = - 5.5 and x_{g} = - 1.8, then the value k is:

k = (- 5.5)/(- 1.8)

k = 3.056

The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.

To learn more on transformations: brainly.com/question/11709244

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6 0
2 years ago
The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find th
damaskus [11]

Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

or

a =  b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

or

a = b - 2

Then if we select the first one, we get:

a + b = 12

(b + 2) + b = 12

2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.

6 0
3 years ago
A number decreased by 4 equals -12. What is the number? _____
elena55 [62]

x - 4 = -12

I think x = -8 as if you decrease -8 by 4 it will leave us with the answer of -12

x = -8

Hope this helped,

Jon

4 0
3 years ago
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