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Zielflug [23.3K]
3 years ago
5

Simplify 4(xy^2)^3 x (2x^3y)^2

Mathematics
1 answer:
tangare [24]3 years ago
7 0
4(xy²)³ · (2x³y)²
4(x³y⁶) · 4x⁶y²
4x³y⁶ · 4x⁶y²
16x⁹y⁸
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For question 10e I wrote my answer as t=19, is that correct?
garri49 [273]

Answer:

1/19

Step-by-step explanation:

3(7) -2 = 19, this would be g(7) but they want g^-1 (7) so you need the inverse of your answer:
1/19.

HOPE THIS HELPS & MAKES SENSE!!!

3 0
2 years ago
A rectangle has a length of 34 inches less than 5 times it’s width. If the area of the rectangle is 867 square inches, find the
pshichka [43]

Length of the rectangle is 51 inches

<u>Solution:</u>

Given that

Length of the rectangle in 34 miles less than 5 times its width

Area of rectangle = 867 square inches

Need to determine length of the rectangle.

Let assume width of the rectangle be represented by variable x.

So 5 times width of the rectangle =5x

34 inches less than 5 times width of the rectangle = 5x – 34

As Length of the rectangle in 34 miles less than 5 times its width

=> Length of the rectangle = 5x – 34

<em><u>The formula for rectangle is given as:</u></em>

\text { area of rectangle }=length \times width

As given that Area of rectangle = 867 square inches

\begin{array}{l}{=>867=(5 x-34) \times(x)} \\\\ {=>5 x^{2}-34 x-867=0}\end{array}

On solving quadratic equation by using quadratic formula

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

In our case a = 5, b = -34 and c = -867

On substituting value of a, b and c in quadratic formula we get

\begin{array}{l}{x=\frac{-(-34) \pm \sqrt{(-34)^{2}-4 \times 5 \times(-867)}}{2 \times 5}} \\\\ {=>x=\frac{34 \pm \sqrt{18496}}{10}=\frac{34+136}{10}} \\\\ {=>x=\frac{34+136}{10}=17 \text { or } x=\frac{34-136}{10}=-10.2}\end{array}

Since x represents width, it cannot be negative, so x = 17

Length of the rectangle = 5x – 34 = 5(17) – 34 = 51

Hence length of the rectangle is 51 inches

5 0
3 years ago
Please explain to me how 3.2÷4=0.8 is done
DedPeter [7]

To make it easier just assume there is no decimal point then just work out the 32÷4 where we know that 4 goes into 32 8 times so you get 8 remember the decimal point and since it was one decimal place you will push the decimal over to the left of 8 and that is how you get 0.8

4 0
3 years ago
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Solve 4+x/7=2 50 points
user100 [1]

Answer: 4 x − 7 = 2 4x-7=2 4x−7=2. Add 7 to both sides. Simplify 2 + 7 2+7 2+7 to 9. Divide both sides by 4.

Step-by-step explanation:

5 0
3 years ago
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Which is f(-3) for the quadratic function graphed?<br> -9<br> -3<br> 0<br> 9
KATRIN_1 [288]

Answer:

9

Step-by-step explanation:

4 0
3 years ago
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