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Elza [17]
3 years ago
6

Write an equation of the line in slope-intercept form.

Mathematics
1 answer:
slavikrds [6]3 years ago
6 0

Answer:

y=-3/2x+1

Step-by-step explanation:

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Which statements are true about the linear inequality y > 3/4x – 2? Check all that apply.
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Anuta_ua [19.1K]

9514 1404 393

Answer:

  (x, y) = (34/5, -4/5) = (6.8, -0.8)

Step-by-step explanation:

Subtract the first equation from the second to eliminate x.

  \left(\dfrac{x}{3}-\dfrac{y}{2}\right)-\left(\dfrac{x-5}{3}+\dfrac{y+2}{3}\right)=\left(\dfrac{8}{3}\right)-(1)\\\\y\left(-\dfrac{1}{2}-\dfrac{1}{3}\right)+\left(\dfrac{5}{3}-\dfrac{2}{3}\right)=\dfrac{5}{3} \qquad\text{partially simplify}\\\\-\dfrac{5}{6}y=\dfrac{2}{3} \qquad\text{subtract 1}\\\\y=-\dfrac{4}{5} \qquad\text{multiply by $-\dfrac{6}{5}$}

Substituting for y in the second equation, we can find x.

  \dfrac{x}{3}-\dfrac{1}{2}\left(-\dfrac{4}{5}\right)=\dfrac{8}{3}\\\\5x +6=40 \qquad\text{multiply by 15}\\\\5x=34\qquad\text{subtract 6}\\\\x=\dfrac{34}{5}

The solution is (x, y) = (34/5, -4/5) = (6.8, -0.8).

7 0
3 years ago
How tall would I  be if i were 54 inches   How tall would I be if i were 58 inches?   How tall would i be if Iwere 59 inches?
baherus [9]
<span>So the question is how tall would a person be in three cases, 54 inches, 58 inches and 59 inches. Since the height measure are feet and inches and one feet has 12 inches, this is the first case: 54 inches = 4*12 inches + 6 inches = 4 feet and 6 inches = 4'6''. Second case: 58 inches= 4*12 + 10 inches= 4 feet and 10 inches = 4'10'' and third case: 59 inches= 4*12 inches + 11 inches= 4 feet and 11 inches = 4'11''. </span>
6 0
3 years ago
The area of a rectangle is 44m2 , and the length of the rectangle is 3m
Grace [21]

Answer:

width=11/2

length=8

Step-by-step explanation:

44=(2w-3) x w <em>area for a rectangle (44) = the length (2w-3) times the width (w)</em>

44=2w^2 - 3w  <em>distribute</em>

2w^2-3w-44 = 0 <em>subtract 44 from both sides</em>

(w+4)(2w-11) <em>factor</em>

width=11/2

(11/2 x 2) - 3

length = 8

3 0
2 years ago
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