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Natasha2012 [34]
3 years ago
10

A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it

is 180 miles from Denver. Which function describes the car's distance from Denver?
Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

y==-40+160

Step-by-step explanation:

Kruka [31]3 years ago
4 0

Answer:

y=-40x+300

Step-by-step explanation:

Let x be the time (in hours) and y be the distance from Denver (in miles).

When car begins, it is 300 miles from Denver, so x = 0 hours and y = 300 miles.

After 3 hours, it is 180 miles from Denver, then x = 3 hours and y = 180 miles.

Write the equation of the line passing through the points (0,300) and (3,180). The slope of this line is

\dfrac{180-300}{3-0}=\dfrac{-120}{3}=-40

y-intercept is at (0,300), hence the equation of the line is

y=-40x+300

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Answer:

35

Step-by-step explanation:

5x (5+3)=40-5=35

3 0
3 years ago
Jane drives at a constant rate of 45 miles per hour for 4 hours. How far will she have traveled in that time?
bearhunter [10]
180 miles per hour. 45*4 to get the answer.<span />
6 0
3 years ago
What is the variance of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20
Bond [772]
Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:

mean = (17+13+13+22+11+20)/6 = 16.

Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.

17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16

Now average these outcomes:

variance = (1+9+9+36+25+16)/6 = 16.

So the variance by coincidence is the same as the mean.

Answer C is your answer.
7 0
3 years ago
If you had a 15 foot ladder, how far away from the base of a wall would you have to put it to reach a window 12 feet up?
Kruka [31]

Answer:

9.000000001

Step-by-step explanation:

If the hypotenuse is  15, the ladder, facing the right angle, and the opposite is 12 we need to use SOH to find the angle.

sin of angle is opposite / hypotenuse

sin of angle is 12 / 15

12/15 = 0.8

sin^-1 of 0.8 = 53.13010235

Angle is that

Then we do this again but a different equation

cos of angle is adjacent (x which we are looking for) / hypotenuse

cos of 53.13... is x / 15

(15 x cos of 53.13... )is x

So 15 x cos of 53.13... is 9.000000001 feet away.

5 0
3 years ago
If the statement "If I am hungry, then I am not happy" is assumed to be true, is its inverse, "If I am not hungry, then I must b
elena55 [62]
No -- other factors will influence whether your happy or not. Saying that is true is inductive reasoning, which is prone to error
8 0
3 years ago
Read 2 more answers
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