Answer:
1/x+5
Step-by-step explanation:
1. Rewrite 3x as a difference
x-2/x^2 + 5x-2 - 10
2. Factor out x from the equation, then factor out -2.
x-2/ x+(x+5) - 2(x+5)
3. Factor out x+5 from the expression
x-2/ (x+5)(x-2)
4. Reduce the fraction with x-2
x-2 / (x+5) x-2
1/x+5
The average rate of change obtained from the ratio of change in y to the change in x is 27
The average rate of change can be obtained using the relation :
Rate of change = (y2 - y1) ÷ (x2 - x1)
at; x1 = -3
y1 can be calculated from the function ;
y1= 3(-3³)-1
y1=-82
At ; x2 = 3
y2 can be calculated from the function ;
y2 = 3(3³)-1
y2=80
The rate of change can be calculated thus : (y2 - y1) ÷ (x2 - x1)
[80-(-82)]/[3-(-6])
162/6
27
Learn more about the average rate of change here:
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Answer:
Option 2 is the correct answer
Step-by-step explanation:
A quadratic function is a function in which the highest power to which the variable is raised is 2
1) f(x) = −8x3 − 16x2 − 4x
The given function is a cubic function because the highest power
to which the variable,x is raised is 3
2) f(x) = 3x²/4 + 2x - 5
The given function is a quadratic function because the highest power
to which the variable,x is raised is 2
3) f(x) = 4/x² - 2/x + 1
It can be rewritten as
f(x) = 4x^-2 - 2x^-1 + 1
The given function is not a quadratic function because the highest power to which the variable,x is raised is - 2
4) f(x) = 0x2 − 9x + 7
It can be rewritten as
f(x) = - 9x + 7
The given function is not a quadratic function because the highest power to which the variable,x is raised is 1
Answer:
B
Step-by-step explanation: Because for inverse functions, domain and range of functions exchange. In simple words, domain of function h(x) = range of inverse function & range of function h(x) = domain of inverse function.
Answer:
16π
Step-by-step explanation:
Given:
<u>Formula:</u>
Replace the radius in the formula:
Evaluate the area:
Since the question says to determine the area in terms of π, the final answer is 16π.
