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Ilia_Sergeevich [38]
3 years ago
13

1. Find the slope of the line that passes through the points (-3, -5) and (3, 2).

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
7 0
(-3, -5),  \ \  (3, 2)  \\ \\ Slope Formula : \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ \\m=\frac{ 2-(-5)}{ 3-(-3)}\\\\ m=\frac{ 2+5}{ 3+3}\\\\m=\frac{7}{6}
Ostrovityanka [42]3 years ago
4 0
m=\frac{y_B-y_A}{x_B-x_A}=\frac{2-(-5)}{3-(-3)}=\frac{2+5}{3+3}=\frac{7}{6}

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Answer:

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Step-by-step explanation:

Since this is an upward opening parabola, it will expand as it approaches infinity, so the first and second answers are wrong.

We can tell by the graph that the y value of the vertex is at -3, so that means the answer can't be the fourth one.

Therefore, the answer is (-3, ∞)

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Answer:

Both Wolverine and James Bond will have paid the same amount after 10 months.

Step-by-step explanation:

Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.

As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,

Amount paid by Wolverine in x months is equal to 1000+300x

As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,

Amount paid by James Bond in x months is equal to 2500+150x

To find number of months after which both Wolverine and James Bond will have paid the same amount,

solve 1000+300x=2500+150x

1000+300x=2500+150x\\300x-150x=2500-1000\\150x=1500\\x=\frac{1500}{150}=10

So, both Wolverine and James Bond will have paid the same amount after 10 months.

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