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ddd [48]
3 years ago
10

Simplify the expression (12x^2y^3)(2x^3y)^2

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0
48x^8y^5.

Happy to help! ;D
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The equivalent expression the equation 12+4x is 4(3+x) using the distributive property.
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At the sewing store, Eva bought a bag of mixed buttons. She got 64 large buttons and 16 small buttons. What percentage of the bu
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Answer:

80% of the buttons were large.

Step-by-step explanation:

Recall that percentages are fractions.

We first need to find the total number of buttons that Eva bought

64 + 16 = 80

Then we need to divide 64 into 80 as a fraction of the whole (80 is our whole)

64 ÷ 80 = 0.8

To convert our decimal to a percentage, we must multiply it by 100.

0.8 * 100% = 80%

Therefore, 80% of the buttons were large.

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Shalnov [3]

Answer:

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Step-by-step explanation:

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3 years ago
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE
EleoNora [17]

Answer:

0, 10

Step-by-step explanation:

The given function is:

g(y) = \frac{y-5}{y^2-3y+15}

According to the quotient rule:

d(\frac{f(y)}{h(y)})  = \frac{f(y)*h'(y)-h(y)*f'(y)}{h^2(y)}

Applying the quotient rule:

g(y) = \frac{y-5}{y^2-3y+15}\\g'(y)=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}

The values for which g'(y) are zero are the critical points:

g'(y)=0=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}\\(y-5)*(2y-3)-(y^2-3y+15)=0\\2y^2-3y-10y+15-y^2+3y-15\\y^2-10y=0\\y=\frac{10\pm \sqrt 100}{2}\\y_1=\frac{10-10}{2}= 0\\y_2=\frac{10+10}{2}=10

The critical values are y = 0 and y = 10.

5 0
3 years ago
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