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salantis [7]
3 years ago
6

Factor 2x2 - 9x - 11.

Mathematics
2 answers:
taurus [48]3 years ago
5 0
Whats the question? it don't make sense.
Bas_tet [7]3 years ago
3 0
I used the factor by grouping method. The answer is (2x-11)(x+1). Hope that is helpful.
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What is the value of the 8 in the number 1.982
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The answer is 80, because 8 is in the hundreds place which means 80.


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You have a 1.5 litre bottle of water and drink 295 millilitres. Your friend drinks 135 millilitres. How much is left?
inna [77]
Convert liters to milliliters so that you have one unit for all of the amounts in the question.

1 liter is equal to 1000 milliliters, so multiply the 1.5 liters you have by 1000:

1.5 * 1000 = 1500

Since you drank 295 milliliters, and your friend drank 135 milliliters, you will subtract those values from the amount in the bottle:

1500 - 295 - 135 = 1500 - 430 = 1070

There is 1070 milliliters of water left in the bottle. 

If you want to find the amount remaining in the bottle in liters, divide the amount remaining by 1000 to convert milliliters to liters:

1070 / 1000 = 1.07

Converted back into liters, there is 1.07 liters of water left in the bottle.
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Milk is sold by the liter in many countries. what is the volume of exactly 1/2 gal of milk in liters?
liraira [26]
1/2 gallon of milk is approx. 1.892 liters

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<img src="https://tex.z-dn.net/?f=%5Cleft.%20%5Cbegin%7Bcases%7D%20%7B%208%20x%20%2B%202%20y%20%3D%2046%20%7D%20%5C%5C%20%7B%207
Brut [27]

\huge \boxed{\mathfrak{Question} \downarrow}

\left. \begin{cases} { 8 x + 2 y = 46 } \\ { 7 x + 3 y = 47 } \end{cases} \right.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\left. \begin{cases} { 8 x + 2 y = 46 } \\ { 7 x + 3 y = 47 } \end{cases} \right.

First, write both the equations in its standard form.

8x+2y=46\\ 7x+3y=47

Now, write the equations in form of matrix.

\left(\begin{matrix}8&2\\7&3\end{matrix}\right)\left(\begin{matrix}x\\y\end{matrix}\right)=\left(\begin{matrix}46\\47\end{matrix}\right)

Then, multiply the equation towards the left by using the inverse of matrix \left(\begin{matrix}8&2\\7&3\end{matrix}\right)

\sf \: inverse(\left(\begin{matrix}8&2\\7&3\end{matrix}\right))\left(\begin{matrix}8&2\\7&3\end{matrix}\right)\left(\begin{matrix}x\\y\end{matrix}\right)=inverse(\left(\begin{matrix}8&2\\7&3\end{matrix}\right))\left(\begin{matrix}46\\47\end{matrix}\right)

The product of the matrix & its inverse will be the identity matrix.

\sf\left(\begin{matrix}1&0\\0&1\end{matrix}\right)\left(\begin{matrix}x\\y\end{matrix}\right)=inverse(\left(\begin{matrix}8&2\\7&3\end{matrix}\right))\left(\begin{matrix}46\\47\end{matrix}\right)

Now, multiply the matrices that lie on the left-hand side of the equal sign.

\sf\left(\begin{matrix}x\\y\end{matrix}\right)=inverse(\left(\begin{matrix}8&2\\7&3\end{matrix}\right))\left(\begin{matrix}46\\47\end{matrix}\right)

For the 2 × 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the inverse matrix is ⇨ \left(\begin{matrix}\frac{d}{ad-bc}&\frac{-b}{ad-bc}\\\frac{-c}{ad-bc}&\frac{a}{ad-bc}\end{matrix}\right).

\left(\begin{matrix}x\\y\end{matrix}\right)=\left(\begin{matrix}\frac{3}{8\times 3-2\times 7}&-\frac{2}{8\times 3-2\times 7}\\-\frac{7}{8\times 3-2\times 7}&\frac{8}{8\times 3-2\times 7}\end{matrix}\right)\left(\begin{matrix}46\\47\end{matrix}\right)

Do the calculations.

\left(\begin{matrix}x\\y\end{matrix}\right)=\left(\begin{matrix}\frac{3}{10}&-\frac{1}{5}\\-\frac{7}{10}&\frac{4}{5}\end{matrix}\right)\left(\begin{matrix}46\\47\end{matrix}\right)

Multiply the matrices.

\left(\begin{matrix}x\\y\end{matrix}\right)=\left(\begin{matrix}\frac{3}{10}\times 46-\frac{1}{5}\times 47\\-\frac{7}{10}\times 46+\frac{4}{5}\times 47\end{matrix}\right)

Do the arithmetics again.

\left(\begin{matrix}x\\y\end{matrix}\right)=\left(\begin{matrix}\frac{22}{5}  \\\frac{27}{5}\end{matrix}\right)

Finally, extract the matrix elements x & y & write them separately.

\large \boxed{ \boxed{ \bf \: x=\frac{22}{5},y=\frac{27}{5} }}

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3 years ago
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Which inequality is represented by the number line shown below?
Sergeeva-Olga [200]

Answer:

No solution is posssible from the information provided

Step-by-step explanation:

No number line is shown

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