Answer:
15 units per unit
Step-by-step explanation:
From the graph we can easily tell that y increases from 0 to 15 as x increases from 2 to 3.
Thus, the average rate of change of f(x) on the interval [2, 3] is:
1 15 - 0 15 units
--------- * ----------- = -------------- = 15 units (rise) per unit (run).
3 - 2 1 1
Answer:
1. terms: 4r, 2, -6, and 3r like terms: 2 and -6, 4r and 3r
2.terms: 5h^2, -3h^2, - 4h, 3h, 7 like terms: 5h^2 and -3h^2, - 4h and 3h
3. 3m + 6
4. 15b + 2
5. 3x + 9
Step-by-step explanation:
1. 4r + 2 - 6 +3r
terms: 4r, 2, -6, and 3r like terms: 2 and -6, 4r and 3r
2. 5h^2 - 3h^2 - 4h + 3h + 7
terms: 5h^2, -3h^2, - 4h, 3h, 7 like terms: 5h^2 and -3h^2, - 4h and 3h
3. 6m + 7 - 3m-1
3m + 6
4. 3(5b +2) - 4
15b + 6 - 4
15b + 2
5. 2x + 4 + 5 + x
3x + 9
This is very simple, all you have to do is subtract 18 and 6 and that would be 12, and now we have 12 as a POSSIBLE answer, lets check our work to be 100% correct so now try to add 12 and 6 and we get 18, so yay it made the equation true and since its true its right so that's the answer.
Answer: c = 12 so 18 = 12 + 6 is true.
Answer:
1) y=6
Step-by-step explanation:
The equation y=mx+b is called slope-intercept because it tells us the slope,m, and y-intercept ,b.
The equation y=a is a horizontal line and goes through a on the y-axis. Horizontal lines have a slope of zero.
The equation x=b is a vertical line and goes through b on the x-axis.
Vertical lines have an undefined slope.
1) y=6 is horizontal so it's slope is 0
2) x=6 is vertical so it's slope is undefined
3) y=2x has slope 2
4) x+y=1 can be put into the form y=mx+b to determine the slope.
Subtract x on both sides:
y=-x+1
The slope is -1.
The goal here is to find the cost of the painting BEFORE the 60% increase.
To find the cost of the painting, we must take in the information we already have:
Increase percent: 60%
Original price: unknown
Price after increase: $400
$400 is the price of the painting AFTER the increase has been added. So this equals the cost of the painting before the increase, plus the total amount of the increase (which is 60% of the original price).
The total must be (100% + 60% = 160%) 160% of the original painting price.
To find the original price, we must divide the increased price by the new percentage (160%). But how do we get here?
Well, we have 160% and our (fraction) $400/1%. We will have to switch the 160% and the 1%, giving us..
1% $400/160%
We take 400/160, which is 2.5. But this is only 1% of the original price! We want 100%.
So now, we multiply the 2.5 by 100 to get our answer: $250.
I hope this helps! If you have any questions, feel free to ask.
