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2 years ago

Solve the inequality 2(x-3)-5x<9

Mathematics

2 answers:

kvasek [131]2 years ago

6 0

Answer:

Step-by-step explanation:

2(x-3)-5x<9 expand left side

2x-6-5x<9. group like terms on left side

-3x-6<9. add 6 to each side

-3x<15. divide each side by -3 (reverse sign because of division by a negative)

x>-5

gayaneshka [121]2 years ago

5 0

Answer:

x > -5

Step-by-step explanation:

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2 years ago

Read 2 more answers

Help!! BRAINLIEST TOO!

natulia [17]

Answer:

36.5 inches

Step-by-step explanation:

Given

See attachment for the given data

Required

Which length is closest to 4.2lb

The given data is a linear dataset.

So, we start by calculating the slope (m)

$m =\frac{y_2 - y_1}{x_2 - x_1}$

Pick any two corresponding points from the table

So, we have:

$(x_1,y_1) = (8,1.21)$

$(x_2,y_2) = (12,1.63)$

So:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

$m =\frac{1.63 - 1.21}{12 - 8}$

$m =\frac{0.42}{4}$

$m =0.105$

The linear equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y = 0.105 * (x - 8) + 1.21$

Open bracket

$y = 0.105x - 0.84 + 1.21$

$y = 0.105x + 0.37$

To get the length closest to 4.2lb,

we set $y = 4.2$

Then solve for x

So, we have:

$y = 0.105x + 0.37$

$4.2 = 0.105x + 0.37$

Collect like terms

$0.105x= 4.2 - 0.37$

$0.105x= 3.83$

Solve for x

$x= 3.83/0.105$

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3 years ago

Set up a system of equations needed to solve each probler

goblinko [34]

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