Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.
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Explanation:
Note how x is decreasing by 3 each time
- -2-3 = -5
- -5-3 = -8
- -8-3 = -11
At the same time, y is also decreasing by 3 each time
This means we have a linear function. We have,
slope = (change in y)/(change in x)
slope = (-3)/(-3)
slope = 1
Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.
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Another way to find the slope is to pick any two points from the table and use the slope formula
m = (y2 - y1)/(x2 - x1)
You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.
Answer:
about 1036 pounds
Step-by-step explanation:
First we'll find the volume, then we'll use that to get the weight.
V = lwh
= 7.5 * 14 * 10.5
= 1102.5 cubic feet
We know that it weighs .94 pounds per cubic foot. The per tells us to multiply.
1102.5 cubic feet * .94 pound / cubic foot
= 1036.35 pounds
<u>= about 1036 pounds</u>
Answer:
I like to compare them all the same. Put all the equations in slope intercept form y=mx+b
So you need to isolate y.
Step-by-step explanation:
Main equation to compare y=2/3x + 4
If they have the same slope they are parallel. If they have opposite reciprocal slopes then they are perpendicular.
First one is y=2x +12 neither
Second one is y= -3/2x -1 perpendicular
Third one is y= 2/3x - 1 parallel
Forth one is y= 2/3x + 11/3 parallel
Answer:
y coordinate of the solution to the system is -5
