Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.
============================================================
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.
----------------
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:
64
Step-by-step explanation:
x-13+2x+1=180
3x-13+1=180
3x-12=180
3x=180+12
3x=192
x=192/3
x=64
Answer:
The HCF is 75
Step-by-step explanation:
Here, we want to get the highest common factors of the two numbers
To do this, we have to write the numbers as the product of their prime factors
We have;
3,000 = 2 * 2 * 2 * 3 * 5 * 5 * 5
525 = 3 * 5 * 5 * 7
now looking at this, we can see that in both numbers, we can have 3 * 5 * 5 taken out as it is common to both numbers
This represents the highest common factor of the two numbers
and that is 75
Answer:
cubic blocks
Step-by-step explanation:
The given parameters are:
Required
Number of cubic blocks to fill the tank
To do this, we simply calculate the volume of the tank by:
This gives:
Simplify
Express as mixed numbers
