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.
We need to identify what "the nearest cent" is.
So!
AB.CD
That is a representation of a number using variables, but we'll just say it's for place values.
A is in the Tens Place
B is in the Ones Place
C is in the Tenths Place (1/10)
D is in the Hundredths Place (1/100
Since we are talking about money let's put it in relation to a dollar.
A is in the Ten Dollar Place
B is in the One Dollar Place
C is in the Tenth of a Dollar Place (1/10 of a dollar)
D is in the Hundredth of a Dollar Place (1/100 of a dollar)
So, what is 1/10 of a dollar?
What amount of money times 10, would get you 1 dollar. Or you can think of it as if you had 10 of one value of money and you got a dollar what is that? A dime.
Now, what is 1/100 of a dollar?
What amount of money times 100, would get you 1 dollar. 1 cent (Or it is sometimes called a penny).
So that means any number beyond the 1/100 of a dollar point (D) will be rounded. If it's the first number after the 1/100 of a dollar is greater than (or equal to) 5 then we round the cent value up. If it is less than 5 we round down.
$29.4983
So, 9 is our cent place. 8 is greater than 5, so we round 9 up. (Add 1. Since it is 9 it will carry over into the 1/10 of a dollar place)
Our answer is:
$29.50
550 i’m pretty sure......
Okay so
#1
4 for 5 would mean each single M&M is 1.25 (5/4)
9 for 25 would mean each single M&M is about 2.78 (25/9)
4 for 5 is the better deal
#2
10 for 35 is 3.50 each (35/10)
12 for 40 is about 3.34 each (40/12)
#3
85 divided by four is 21.25 meaning you'd spend about 22 cents each
the hardware store has a better deal seeing as 19 cents each is cheaper
#4
so 13 divided by 1.4 is about 9.3 so Raisin Bran has less sugar per ounce of cereal
To find the side lengths, you have to factor 4x^2 + 28x + 49. This equation factored is (2x+7)(2x+7), so each side length is (2x+7) feet.
