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mars1129 [50]
3 years ago
7

The lines below are parallel. If the slope of the solid line is –3, what is the slope of the dashed line?

Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Answer:

-3

Step-by-step explanation:

parallel lines always have the same slope, the y-intercepts will differ

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-10 + 15xy = 20 Direct and inverse variation. constant of variation (k)​
lozanna [386]

Answer:

This is an inverse variation, and the constant of variation is k = 2.

Step-by-step explanation:

Direct variation is something like:

y = k*x

Where k is the constant of variation.

So as x increases also increases y.

Inverse variation is something like:

y = k/x

k is the constant of variation.

In this case, if x increases, y decreases.

Now let's look at the equation:

-10 + 15*x*y = 20

Let's isolate y in one side of the equation:

15*x*y = 20 + 10 = 30

15*x*y = 30

y = 30/(15*x) = (30/15)/x = 2/x

y = 2/x

Then we can conclude that this is an inverse variation, with a constant of variation equal to 2.

4 0
4 years ago
Solve the inequality and express your answer in interval notation<br> x^2+8x-7&lt;0
balandron [24]

Answer:

  • (-8.8, 0.8)

Step-by-step explanation:

  • x^2+8x-7<0
  • x^2 + 8x + 16 - 23 < 0
  • (x + 4)^2 < 23
  • |x + 4| < √23 ≈ 4.8

1 .

  • x + 4 < 4.8
  • x < 0.8

2.

  • -(x + 4) < 4.8
  • x + 4 > - 4.8
  • x > - 8.8

<u>Combination of the two intervals:</u>

  • x = (-8.8, 0.8)

4 0
3 years ago
Maria figure that the bowling balls on a rack weighed a total of 240 lb how many 16 pound bowling balls weigh a total of 240 lbs
Naddik [55]

240 = 16x is about an equation but you can make it more complicated by adding unneeded parts for example 240 = 16x - 81 + ((15x) + 15) - (x^2 / 2) - 45 - 1.5.

7 0
4 years ago
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weqwewe [10]
-3015 that is the order
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belka [17]

Answer:

8(3y-4)

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8 0
3 years ago
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