Answer:
the average rate of change is 4.
Step-by-step explanation:
Find the average rate of change of f(x)=x^2 on the interval [1,3].
The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)/b−a.
We have that a=1, b=3, f(x)=x^2.
Thus, f(b)−f(a)/b−a=((3))^2−(((1))^2)/3−(1) = 4.
Answer:
f(-2) = -1
Step-by-step explanation:
f(x) = -x^2 + 3
f(-2) means when x is -2
Shown in the graph below, the point of solution is: (-2,-1), so when x is -2 y is -1
We need to figure out how much string would be left, after taking away the first two pieces.
We know that the first piece is 20 inches long, so we can say that there is 52-20 inches left, or 32 inches.
The second piece is between 12 and 18 inches, meaning that there would be between 32-12 and 32-18 inches left for the third piece, or 20 and 14 inches. This means that the third piece would be at least 14 inches long, but no more than 20, since we don’t have more string than that (20+12+20=52, and 20+14+18=52)
So we can say that x is greater or equal to 14, but less than or equal to 20, or:
14<=x<=20 (“<=“ is written like a normal “<“ sign with a line _ right under it)
Answer:
a) 88
b) 162 $
Step-by-step explanation:
Given Bryan sold 9 more flowers than Elan
1/4 x - 1/5 x = 9
x/20 = 9
x = 180
Flowers with Bryan = 45
Flowers with Elan = 36
45+36 = 81
Remaining flowers = 99
Flowers with Fiona = 8/9 * 99 = 88
