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3 years ago

Solve for x 4x – 4<8 AND 9x +5 > 23

Mathematics

1 answer:

Leno4ka [110]3 years ago

4 0

Answer:

x<3 AND x>2

Step-by-step explanation:

First, 4x-4<8. Adding 4 to both sides, 4x<12, and dividing by 4, x<3.

Next, 9x+5>23. Subtracting 5 from both sides, 9x>18, and dividing by 9, x>2.

Therefore, x<3 AND x>2.

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3 years ago

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2 years ago

1. **What is the slope of a line that passes through the points (-1,30) and (4, 10)

tresset_1 [31]

Answer:

Slope = -4

Step-by-step explanation:

Given points are :

(-1,30) and (4, 10)

We need to find the slope of the line that passes through these points.

We know that, the formula for the slope of line is given by :

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

We have, x₁ = -1, y₁ = 30, x₂ = 4 and y₂ = 10

Put values in the above formula.

$m=\dfrac{10-30}{4-(-1)}\\\\=\dfrac{-20}{5}\\\\=-4$

So, the slope of the line is -4.

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2 years ago