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abruzzese [7]
3 years ago
5

What is the slope of the line shown in the graph? A 3/2 B) 2/3 C) -3/4 D) -2/3

Mathematics
2 answers:
Alex777 [14]3 years ago
8 0
D. -2/3 because when you find when the line lies on 1 point twice. Count down it would be 2 and count over it would be 3. The direction of the line is going down so that would be negative.
garik1379 [7]3 years ago
6 0

Answer:

D.

Step-by-step explanation:

y-intercept is (0, 3)

x-intercept is (4.5, 0)

formula to find the slope from two points is

slope = m =  \frac{y2 - y1}{x2 - x1}  =  \frac{y1 - y2}{x1 - x2}  \\

then the slope of the line that crosses (0, 3) & (4.5, 0) is

m =  \frac{3 - 0}{0 - 4.5}  =  \frac{3}{ - 4.5}  =  -  \frac{3}{ \frac{9}{2} }  =  -  \frac{2}{3}

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When converting English phrases into mathematical expressions/equations, we do things from left to right. That is why it's 4 - 20 instead of 20 - 4.

This rule is applied to division as well.
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3 years ago
Solve inequality for x -4(2x+4)>8x+64
Mkey [24]

Answer:

x< - \frac{16}{3}

Step-by-step explanation:

x 8x_16>8x+64

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Add 16 to both sides

-7x- 16 + 16 > 8x + 64 + 16

Simplify

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Subtract 8x from both sides

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simplify

\frac{15x}{15} < \frac{-80}{15}

4 0
1 year ago
Read 2 more answers
Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a
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She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

<u><em>Explanation</em></u>

Total amount of winnings = $ 200000

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Suppose, she invested  x dollar at 1.5% rate.

That means, she invested (140000-x) dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000  


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