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inysia [295]
2 years ago
9

Find the percent change. Tell whether it is a percent increase or decrease. from 50 to 42

Mathematics
2 answers:
ra1l [238]2 years ago
7 0
Percent change = (new value - old value)/(old value) * 100

If the percent change is positive, it is an increase.
If the percent change is negative, it is a decrease.

percent change = (42 - 50)/(50) * 100 = -8/50 * 100 = -16%

It is a 16% decrease.
Svetlanka [38]2 years ago
4 0
The answer would be percent decrease because if it started at 50 and turned to 40, it lowered since we know 50 is higher than 42 so it dropped by 8 since 8 divided by 50 0.16 and 0.16 times 100 EQUALS 16%
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Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.
Elanso [62]

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2 and 5

Step-by-step explanation:

The slope-intercept form of a line is y=mx-b where m is slope and b is y-intercept.

The point-slope form of a line is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

The standard form a line is ax+by=c.

So anyways parallel lines have the same slope.

So if we are looking for a line parallel to 3x-4y=7 then we need to know the slope of this line so we can find the slope of our parallel line.

3x-4y=7

Goal: Put into slope-intercept form

3x-4y=7

Subtract 3x on both sides:

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Divide both sides by -4:

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Simplify:

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So we know our line should be in the form of y=\frac{3}{4}x+b.

To find b we will use the point that is suppose to be on our new line here which is (x,y)=(-4,-2).

So plugging this in to solve for b now:

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3-2=b

b=1

so the equation of our line in slope-intercept form is y=\frac{3}{4}x+1

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The standard form of a line is ax+by=c and we have 2 options that look like that.

So let's rearrange the line that we just found into that form.

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Clear the fractions because we only want integer coefficients by multiplying both sides by 4.

This gives us:

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Subtract 3x on both sides:

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I don't see this option either.

Multiply both sides by -1:

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I do see this as a option. So far the only option that works is 2.

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We had the point that our line went through was (x1,y1)=(-4,-2) and the slope,m, was 3/4 (we found this earlier).

y-y1=m(x-x1)

Plug in like so:

y-(-2)=3/4(x-(-4))

y+2=3/4 (x+4)

So option 5 looks good too.

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