NEED ANSWERS ASAP (algebra)


1.Find the equation of line W that has a y intercept of 8 and x intercept of 5

2.What is the slope of the line with the following equation
y= -3x + 7

3.what is the x intercept of the line with the following equation
6x-3y=24

4.Solve the following inequality


[tex] - 53 \geqslant - 3(3x + 3) + 3x [/tex]

5.solve the equation
[tex] \frac{3x}{4} - \frac{x}{12 } = \frac{7}{8} [/tex]
6.Find the Value of x:
[tex]x + ( x + 1) + (2x + 2) + (3x + 3) = 90[/tex]
​

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!

Which could be the first step in solving this equation?
5x + 4x - 72
A)
Combine like terms.
B)
Add 9x to both sides of the equation
0)
Subtract 72 from both sides of the equation
D)
Subtract 5x from both sides of the equation

Heeeeeeeeeeeeeeeeeeeelp asap due today at 7

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He decides to save $80 per week for a number of weeks to make up the deficit.
a. Given that he has $500 at the beginning of the first week, how much will he
have saved at the end of the 2nd, 3rd, 45, and 5 weeks?
b. Make a graph to represent the pattern from part a.
c. Create a function that represents the relationship between weeks (w) and
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PLEASE HELP I ONLY NEED# 8,10,12,19,20 AND 22 DONE ​

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Select three ratios that are equivalent to

16

:

12

16:1216, colon, 12.

Choose 3 answers:

Choose 3 answers:


(Choice A)

A

8

:

6

8:68, colon, 6


(Choice B)

B

32

:

24

32:2432, colon, 24


(Choice C)

C

4

:

3

4:34, colon, 3


(Choice D)

D

12

:

8

12:812, colon, 8


(Choice E)

E

24

:

16

24:16

Help step by step plz :)

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