Answer:
15 units per unit
Step-by-step explanation:
From the graph we can easily tell that y increases from 0 to 15 as x increases from 2 to 3.
Thus, the average rate of change of f(x) on the interval [2, 3] is:
1 15 - 0 15 units
--------- * ----------- = -------------- = 15 units (rise) per unit (run).
3 - 2 1 1
Answer:
x = 2 + sqrt(5) or x = 2 - sqrt(5)
Step-by-step explanation using the quadratic formula:
Solve for x over the real numbers:
7 (x^2 - 4 x - 1) = 0
Divide both sides by 7:
x^2 - 4 x - 1 = 0
Add 1 to both sides:
x^2 - 4 x = 1
Add 4 to both sides:
x^2 - 4 x + 4 = 5
Write the left hand side as a square:
(x - 2)^2 = 5
Take the square root of both sides:
x - 2 = sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
x = 2 + sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
Answer: x = 2 + sqrt(5) or x = 2 - sqrt(5)
Answer:
Yes
Step-by-step explanation:

Answer:

Step-by-step explanation:
The zeros of the polynomial function are given us as -5,-1,2
If the zeros of a polynomial function are α,β,ω, the polynomial function can be obtained using the expression below:
f(x) = (x - α)(x - β)(x - ω)
where α = -5, β = -1, and ω = 2

<em>NB: To arrive at the answer, expand the brackets and after expansion, collect like terms to obtain the final answer</em>