Question

NEED ANSWERS ASAP (algebra)

Answer 1

Answer:

1) y = -8/5x + 8

2) slope = -3

3) x = 4

4) x ≥ 22/3

5) x = 21/16

6) x = 12

Step-by-step explanation:

1) For the slope, you know you go up 8 left 5 to get from the x-intercept to your y-intercept so it’s positive 8 over -5 (rise over run).

This makes your slope 8/-5 which is the same as -8/5

2) The slope is next to the x, so the slope is -3/1 which is -3.

3) Rearrange the equation to y = mx + b.

Firstly, subtract 6x from both sides:

-3y = -6x + 24

Then, divide both sides by -3:

y = 2x - 8

To get the x-intercept, divide the y-intercept (but positive) by the slope.

8/2 = 4

Your x-intercept is 4.

4) Distribute on the terms:

-53 ≥ -9x - 9 + 3x

Combine like terms:

-53 ≥ -6x - 9

Add 9 to both sides:

-44 ≥ -6x

Divide both sides by -6:

44/6 ≤ x

(Inequality flipped because you divide by a negative)

Simplify:

22/3 ≤ x

Flip the inequality:

x ≥ 22/3

5) Multiply both sides by 4:

3x - x/3 = 7/2

Multiply both sides by 3:

9x - x = 21/2

Combine like terms:

8x = 21/2

Divide both sides by 8:

x = 21/16

or

x = 1.3125

6) Combine like terms:

7x + 6 = 90

Subtract 6 from both sides:

7x = 84

Divide both sides by 7:

x = 12

Hope this helps!