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3 years ago

4(x+3)-(2x-1)=30+7x-1+5x

Mathematics

2 answers:

denis23 [38]3 years ago

8 0

x= -8/5

x equals negative 8 over 5

aivan3 [116]3 years ago

8 0

4(x+3)-(2x-1)=30+7x-1+5x

distribute

4x+12 -2x+1 =30 +7x-1+5x

combine like terms

2x+13 = 29+12x

subtract 2x from each side

13 =29+10x

subtract 29 from each side

-16= 10 x

divide by 10

-1.6 =x

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Write an equation of the line that passes through the point (-4,-1) and is parallel and perpendicular to the line 2x+7y=14

Darina [25.2K]

Answer: Parallel: y=-2/7x-2 1/7 Perpendicular: y=7/2x+13

Step-by-step explanation:

2x+7y=14

Subtract 2x from both sides.

7y=-2x+14

Divide both sides by 7 to isolate y.

y=-2/7x+2

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Plug in x and y with same slope as the original.

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Plug in x and y with the negative inverse of the original slope.

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3 years ago

Expres each of the folowing as a single matrix.

Elden [556K]

Answer:

$\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]$

Step-by-step explanation:

If you have two matrices:

$A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\and\\B=\left[\begin{array}{cc}e&f\\g&h\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}a+e&b+f\\c+g&d+h\end{array}\right]$

We have:

$A=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]\\and\\B=\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]$

And we need to express as a single matrix:

$A+B=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6+(-2)&-3+8\\10+3&-1+(-12)\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6-2&5\\13&-1-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]$

The answer is:

$\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]$

It is expressed as a single matrix.

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3 years ago

A reduced calorie recipe requires 72% of the Normal amount of sugar the normal amount of sugar is 3/ 8 cup how much sugar should

natka813 [3]

Answer:

0.105 or 21/200

Step-by-step explanation:

2/8= 0.375 cups

0.375x0.72= 0.27 cups or 27/100

0.375-0.27= 0.105

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3 years ago