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4 years ago

What is 8/12 + 8/11

Mathematics

1 answer:

expeople1 [14]4 years ago

3 0

The simplified answer is 46/33.

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Which function below is the inverse of f(x) = x2 − 25?

balu736 [363]

Hello,

y=x²-25
==>x=y²-25 ==>y=±√(x+25)

Answer B: ±square root of the quantity x plus 25

7 0

3 years ago

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What is 75.62-72.28=??

svetlana [45]

It's 75.62-72.28=3.34

6 0

3 years ago

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Solve the system of equations:x + 3y - z = -4 2x - y + 2z = 13 3x - 2y - z = -9

tatiyna

Answer:

The solution to the system of equations is

$\begin{gathered} x=\frac{179}{13} \\ \\ y=-\frac{279}{39} \\ \\ z=-\frac{48}{13} \end{gathered}$

Explanation:

Giving the system of equations:

$\begin{gathered} x+3y-z=-4\ldots\ldots\ldots\ldots\ldots\ldots..........\ldots\ldots\ldots\ldots.\ldots\text{.}\mathrm{}(1) \\ 2x-y+2z=13\ldots\ldots...\ldots\ldots\ldots\ldots..\ldots..\ldots\ldots\ldots\ldots\ldots.(2) \\ 3x-2y-z=-9\ldots\ldots\ldots.\ldots\ldots\ldots\ldots....\ldots\ldots.\ldots\ldots\ldots\text{.}\mathrm{}(3) \end{gathered}$

To solve this, we need to first of all eliminate one variable from any two of the equations.

Subtracting (2) from twice of (1), we have:

$5y-4z=-21\ldots\ldots\ldots\ldots\ldots.\ldots.\ldots..\ldots..\ldots\ldots.\ldots..\ldots\text{...}\mathrm{}(4)$

Subtracting (3) from 3 times (1), we have

$3y-5z=-3\ldots\ldots...\ldots\ldots..\ldots\ldots\ldots\ldots\ldots.\ldots\ldots\ldots\ldots\ldots..\ldots\ldots(5)$

From (4) and (5), we can solve for y and z.

Subtract 5 times (5) from 3 times (4)

$\begin{gathered} 13z=-48 \\ \\ z=-\frac{48}{13} \end{gathered}$

Using the value of z obtained in (5), we have

$\begin{gathered} 3y-5(-\frac{48}{13})=-3 \\ \\ 3y+\frac{240}{13}=-3 \\ \\ 3y=-3-\frac{240}{13} \\ \\ 3y=-\frac{279}{13} \\ \\ y=-\frac{279}{39} \end{gathered}$

Using the values obtained for y and z in (1), we have

$\begin{gathered} x+3(-\frac{279}{39})-(-\frac{48}{13})=-4 \\ \\ x-\frac{279}{13}+\frac{48}{13}=-4 \\ \\ x-\frac{231}{13}=-4 \\ \\ x=-4+\frac{231}{13} \\ \\ x=\frac{179}{13} \end{gathered}$

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1 year ago

The sum of a number and 7 is between 8 and 12 , inclusive. Write it as an equation.

Julli [10]

Answer:

8 < x + 7 < 12

Step-by-step explanation:

7 0

3 years ago

A cube consists of twenty-seven 2×2×2-inch small cubes. All four of the corner cubes on the edge of the top layer fell off. Whic

timurjin [86]

The answer should be<span> 4. Because in each cube you take from one corner,it seems like you lost 3 square shaped area but when you remove the cube, there occurs the hidden 3 square shaped area under that cube. So the surface area doesn't change. You should try to imagine the cube, it may help. </span>

3 0

3 years ago

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