By definition we have that the average rate of change of the function is:
Evaluating the function for the complete interval we have that the AVR is given by:
Rewriting we have:
Simplifying the expression we have:
Answer:
the average rate of change of the function defined by the table is:
Y+2=3(x-4)
y+2=3x-12
-2 -2
y=3x-14
slope-intercept form: y+2=3(x-4)
Answer:
Step-by-step explanation:
I think you mean 3(x+8)², not 3(x+8)2. If you cannot type ², use ^ to mark the exponent: 3(x+8)^2.
3(x+8)² + 8 = 83
3(x+8)² = 75
(x+8)² = 25
x+8 = ±√25
x+8 = ±5
x = -8 ± 5 = -3, -13
Answer:
$9.98
Step-by-step explanation:
The first step is to calculate the total fabric that Calista has
= 2 1/2 + 1 3/4
= 5/2 + 7/4
= 17/4
The next step is to calculate the fabric that she needs
= 17/4-3
= 5/4
If each yard of fabric costs $7.98 then the amount needed can be calculated as follows
= 7.98 × 5/4
= 7.98 × 1.25
= 9.975
= $9.98
Hence Kalista needs $9.98
Step-by-step explanation:
x² + x - 2 = 0
x² + 2x - x - 2 = 0
x(x + 2) - 1(x + 2) = 0
(x + 2)(x - 1) = 0
x + 2 = 0 and x - 1 = 0
x = -2 and x = 1
So, f(x) has no solution if x = -2 or 1
Domain = {x | x ≠ 2 and x ≠ 1}
