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sergiy2304 [10]
3 years ago
13

As part of a new fitness plan, Sabir walks on a treadmill at the same speed for 15 minuets every morning. The table shows the ca

lories he burns over time

Mathematics
1 answer:
Reil [10]3 years ago
7 0
The relationship between Sabir and calories he burns can be modeled using a linear function given by:
y=ax+b
where
a=slope
b=y-intercept
from the graph, the slope will be given as follows:
taking points (3,15) and (12,60)
a=(60-15)/(12-3)=5 calories/minute
thus using the slope and a point (3,15) the equation will be:
a(x1-x)=(y1-y)
plugging the values we obtain:
5(x-3)=y-15
5x-15=y-15
thus
y=5x
thus the equation is:
y=5x
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check the picture below.

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What is the cost of 4 1/5 yards of fabric at $7.95 per yard?
Daniel [21]

Answer:

the total cost for 4 1/5 yds of fabric would be $33.39.

Step-by-step explanation:

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(4.2 yd)($7.95/yd) = $33.39

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(-6time + 3) + (5time -4)
Fynjy0 [20]

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3 0
3 years ago
consider the line y= 2/3x-0. Find the equation of the line that is parallel to this line and passes through the point (8, 4).
tresset_1 [31]
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

slope intercept form :
y=m+b

m=slope

If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.

Data:
(8,4)
m=2/3

y-y₀=m(x-x₀)
y-4=2/3(x-8)
y-4=2/3 x-16/3
y=2/3 x-16/3+4
y=2/3 x-4/3  (slope intercept form)

Answer: The equation of the line would be: y=2/3 x-4/3.


if we have the next slope "m",then the perendicular slope will be:
m´=-1/m

We have this equation: y=2/3 x+0; the slope is: m=2/3.

The perpendicular slope will be: m`=-1/(2/3)=-3/2

And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:

y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16

answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16
3 0
3 years ago
1. Mr. McClellan has a board game that requires the use of two 4-sided dice. According to his rules, you can only start the game
stealth61 [152]
(A)

1,4
1,3
1,2
1,1

2,1
2,2
2,3
2,4

3,1
3,2
3,3
3,4

4,1
4,2
4,3
4,4

5,1
5,2
5,3
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6,4
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6,1

(B)
3%

(C)
I'm not sure about the answer for C, Sorry. Hope this helps!
6 0
3 years ago
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