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Fed [463]
3 years ago
12

Please help with questions 12-16

Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0

Answer:

-4

Step-by-step explanation:

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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
umka21 [38]

Answer: y=-40x+300

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call x the time in hours and y the traveled distance in miles:

Point 1: (x_{1},y_{1})=(0,300)

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: (x_{2},y_{2})=(3,180)

Since we are told the car's final position is 180 miles after 3h

<u />

<u>Let's find the Slope m: </u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=-40  This is the slope of the line

Now, the equation of the line is:

y=mx+b

We already know the slope, now we have to find the intersection point with the y-axis (b) with any of the given points. Let's choose Point 1: (x_{1},y_{1})=(0,300)

300=-40(0)+b

Isolating b:

b=-300

Then, the equation of the line is:

y=-40 x+300

7 0
3 years ago
Read 2 more answers
There is a certain number. If you add 30/7 to it, from the sum you get subtract 22/7 , and then subtract that difference from 59
xeze [42]
30/7 +30/7=60/7
60/7-22/7=38/7
59/7 -38/7=21/7
21/7 -19/7=2/7
6 0
3 years ago
What is the x-value of point A?
kvv77 [185]

Answer: 5

Step by Step Explanation:

8 0
3 years ago
The sum of two numbers is ten. the difference between them is 8 . find the two numbers
alexira [117]

x+y=10

x-y=8, x=y+8

y+8+y=10

2y=2

y=1

So, x=10-y=10-1=9.

Numbers Would be 9 and 1.


3 0
3 years ago
If the constant of variation is 12 and y = 36, what does x equal?
exis [7]
Y=kx
k=constant of variation

given
k=12
y=36

36=12*x
divide both sides by 12
3=x

x=3
8 0
3 years ago
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