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Paraphin [41]
3 years ago
14

Unit 2 | Lesson 10

Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0
The answer is <span>B. 14(m − 8)
</span>
<span>m represent the weight of the boxes that Marco lifted.
</span><span>d represent the weight of the boxes that Drew lifted.

</span><span>The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted:
d = m - 8

So the weight of one box that Drew lifted is (m - 8). Since he lifted boxes, the </span><span>total number of pounds Drew lifted is </span> 14(m - 8)  
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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)
LenaWriter [7]

Answer:

The slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

  • (-1, -2)
  • (3, 4)

Determining the slope between (-1, -2) and (3, 4)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)

m=\frac{4-\left(-2\right)}{3-\left(-1\right)}

m=\frac{3}{2}

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

4=\frac{3}{2}\left(3\right)+b

switch sides

\frac{3}{2}\left(3\right)+b=4

\frac{9}{2}+b=4

subtract 9/2 from both sides

\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}

b=-\frac{1}{2}

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)

y=\:\frac{3}{2}x\:-\frac{1}{2}

Therefore, the slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}
8 0
3 years ago
Please solve 1 through 6
Degger [83]
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2. 6y⁴+2y³-8y
3.-3m³-12m²+3m
4. 4d⁴-3d³+d²
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7 0
3 years ago
Prime factors of 20 i dont know this question
dem82 [27]

Answer:

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Step-by-step explanation:

20 = 1 x 20

        2 x 10

        4 x 5

Factors of 20= 1, 2, 4, 5, 10, 20.

Prime factors are = 2 x 2 x 5,

6 0
4 years ago
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olganol [36]

Answer: transportation

Step-by-step explanation:

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Sweet tea has 2 orange picks for every 5 green. I'd there are 21 picks in all, how many picks are orange?
loris [4]
21=5+2+5+2+5+2
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