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kolbaska11 [484]
3 years ago
11

Factor each completely 1.-9r^2-16 2.-45b^2-125 3.-x^2+7x-18

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0
Simple....

you have:

1.)-9r^{2} -16

2.)-45b^{2} -125

3.)-x^{2}+7x-18

Factoring them out completely--->>>

1.)-9r^{2}-16

Factor out a -1

-( 9r^{2} +16)

2.)-45b^{2} -125

Factoring out  -5

-5( 9b^{2} +25)

3.)- x^{2} +7x-18

Factoring out a -1

-( x^{2} -7x+18)

Thus, your answer.
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How do I solve 2m + n = 2 and 3m - 2n = 3 using substitution?
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\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Solve 2m + n = 2 and 3m - 2n = 3 using substitution.

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

We can use the substitution method to solve linear equations of this form. Let's solve for m & n.

\left. \begin{array}  { l  }  { 2 m + n = 2 } \\ { 3 m - 2 n = 3 } \end{array} \right.

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

2m+n=2, \: 3m-2n=3

Choose one of the equations and solve it for m by isolating m on the left-hand side of the equal sign.

2m+n=2

Subtract n from both sides of the equation.

2m=-n+2

Divide both sides by 2.

m=\frac{1}{2}\left(-n+2\right)  \\

Multiply 1/2 times -n+2.

m=-\frac{1}{2}n+1  \\

Substitute -\frac{n}{2}+1\\ for m in the other equation, 3m-2n=3.

3\left(-\frac{1}{2}n+1\right)-2n=3  \\

Multiply 3 times -\frac{n}{2}+1\\.

-\frac{3}{2}n+3-2n=3  \\

Add -\frac{3n}{2}\\ to -2n.

-\frac{7}{2}n+3=3  \\

Subtract 3 from both sides of the equation.

-\frac{7}{2}n=0  \\

Divide both sides of the equation by -\frac{7}{2}\\, which is the same as multiplying both sides by the reciprocal of the fraction.

\large \underline{\underline{ \bf \: n=0 }}

Substitute 0 for n in m=-\frac{1}{2}n+1\\. Because the resulting equation contains only one variable, you can solve for m directly.

\large \underline{ \underline{\bf \: m=1 }}

The system is now solved.

\huge \boxed{ \boxed{ \bf \: m=1, \: n=0 }}

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The answer to the question

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5x-3=19? Answer for Brainliest
vampirchik [111]

Answer:

x = 4.4

Step-by-step explanation:

I'm going to assume you want to solve for x so here we go.

You need to work backwards for this equation, and whatever you do to the LHS, you do to the RHS.

First, you need to remove the minus 3, which means that on both sides, you add 3. Adding three on the LHS makes the -3 disappear, and adding 3 on the RHS makes the 19 go to a 22.

Your equation is now 5x=22.

Since 5x means 5 × x, to get rid of it, you need to divide 5x by 5. Doing it to the LHS will make the five disappear, and doing it to the RHS will make it go to 22 ÷ 5 which equals 4.4

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