Answer:
Substitute –3 for x and 5 for h in the difference quotient.
Step-by-step explanation:
The difference quotient for the function f(x) is 21x² + 21xh + 7h² + 2. Now, we know that the difference quotient equal f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. The change in x is h = x₂ - x₁. So, if x changes from x = -3 to x = 2, where x₁ = -3 and x₂ = 2, h = x₂ - x₁ = 2 - (-3) = 2 + 3 = 5.
So to find the average rate of change of f(x) from x = -3 to x = 2, we substitute x = -3 and h = 5 into the difference equation f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. Since, x starts at x = -3 and increases by 5 units to x = 2.
Each day, 30 cents are added onto the fee.
-3 days would mean -3 * 30 cents on the fee, which is -90 cents, or -0.90.
and -2.5 charges of 30 cents would be -75 cents!
...but you can't have negative days or fees, so A and B are out of the question.
4.5 charges of 30 cents IS $1.35...
...but the library charges by day, of course.
8 charges of 30 cents would be $2.40, and both of these are realistic possible numbers.
Answer:
1(left) goes with 1
2(left) goes with 3
3(left) goes with 2
4(left) goes with 4
Step-by-step explanation:
2(5+6) = 22
3(5+3) = 24
2(4+5) = 18
2(3+2) = 10
10 + 12 = 22
8+ 10 = 18
15 + 9 = 24
6 + 4 = 10
1(left) goes with 1
2(left) goes with 3
3(left) goes with 2
4(left) goes with 4
No it cant be because a number with a repeating decimal is irrational, rational numbers are integers that can be expressed as a fraction<span />