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rusak2 [61]
3 years ago
9

Write a expression shows an expanded form of -8x^3y^2(x^2-4y)

Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

Answer:

Step-by-step explanation:

-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y

= -8x³⁺⁵y² + 32x³y²⁺¹

= -8x⁸y² + 32x³y³

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8/6 as a mixed number
frosja888 [35]

Answer:

1  1/3

Step-by-step explanation:

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

8/6= 1.3333333333333 = 1

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (1) and multiply it by the original denominator (6). The result of that multiplication is then subtracted from the original numerator:

8 - (6 x 1) = 2

Step 3: Our mixed fraction

We've now simplified 8/6 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

1  2/6

Step 4: Simplifying our fraction

In this case, our fraction (2/6) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 2 and 6 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

2/2 = 1

6/2 = 3

When we put that together, we can see that our complete answer is,

1  1/3

4 0
3 years ago
Can 100 rational numbers be inserted between 1 and 101
alexandr1967 [171]
Yes, they can. Rational numbers are also decimals (for example) so we can put an infinite amount of numbers between any 2 values, for example:

1,1
1,11
1,111
1,1111
2
5,328
5,3281
5,3282
50
90,01
90,011

etc.
5 0
4 years ago
Would this expression be <br> 49+R?
Dmitry [639]

Answer:

Yes

Step-by-step explanation:

It would be r+49 since Kevin has 49 more.

4 0
4 years ago
How many angles are formed by the transversal
likoan [24]

Answer:

How Many Angles are Formed by the Transversal?

  • When two parallel lines are intersected by the transversal, eight angles are formed.
6 0
3 years ago
Please do elimination method 2x-9y=-36 <br> -14x+18y=-18
Varvara68 [4.7K]

Answer:

The solution to the system of equations will be:

x=9,\:y=6

Step-by-step explanation:

Given the system of equations

\begin{bmatrix}2x-9y=-36\\ -14x+18y=-18\end{bmatrix}

Multiply 2x-9y=-36 by 7

14x-63y=-252

so the system of equations becomes

\begin{bmatrix}14x-63y=-252\\ -14x+18y=-18\end{bmatrix}

Adding both equations

-14x+18y=-18

+

\underline{14x-63y=-252}

-45y=-270

solve -45y = -270 for y

-45y=-270

divide both sides by -45

\frac{-45y}{-45}=\frac{-270}{-45}

Simplify

y=6

For 14x-63y = -270 plug in y = 6

14x-63\cdot \:6=-252

14x-378=-252

Add 378 to both sides

14x-378+378=-252+378

Simplify

14x=126

Divide both sides by 14

\frac{14x}{14}=\frac{126}{14}

Simplify

x=9

Therefore, the solution to the system of equations will be:

x=9,\:y=6

7 0
3 years ago
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