Answer:
2
Step-by-step explanation:
For a quadratic function the average rate of change on an interval is the rate of change at the midpoint of the interval. The rate of change of a function is given by its derivative.
The derivative of f(x) = x^2 is f'(x) = 2x. The midpoint of the interval is (4+(-2))/2 = 1. Then the average rate of change is ...
f'(1) = 2(1) = 2
The average rate of change of f(x) on [-2, 4] is 2.
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<em>Alternate solution</em>
The average rate of change is the slope of the line between the end points of the interval:
m = (y2 -y1)/(x2 -x1)
m = (f(4) -f(-2))/(4 -(-2)) = (20 -8)/(6) = 2
The average rate of change on [-2, 4] is 2.
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The attached graph shows the points on the curve and a line with slope 2 between them. It also shows the various slope calculations.
Here's how to do dividing in a certain ratio:
-- You want to divide up the whole thing in the ratio of
4 parts, 5 parts, and 9 parts.
-- How many parts all together ? (4 + 5 + 9) = 18 parts all together.
-- The whole thing is 180, and that's 18 total parts.
So each part is (180/18) = 10 degrees.
4 parts = (4 x 10) = 40
5 parts = (5 x 10) = 50
9 parts = (9 x 10) = 90.
Check: (40 + 50 + 90) = 180 . yay!
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For the second one, I think there are some words missing.
Answer:
3/2
Step-by-step explanation:
slope=rise/run=30/20=3/2
Answer:
well E is (-7,-7) F is (-2,-3) G is (-1,-6)
Step-by-step explanation:
Answer: The value of x is 28.
Step-by-step explanation:
Since line m is parallel to line l.
So, we assume that
(3x+21)° and (4x-7)° are corresponding angles.
And we know that , corresponding angles formed when a transversal cut the parallel line are equal.
So, they must be equal to each other.
Hence, the value of x is 28.
