Answer:
The average rate of change is 
Step-by-step explanation:
The average rate of change from x=a to x=b of f(x) is given by;
We want to find the average rate of change of the function represented in the table from x=-2 to x=2.
From the table f(-2)=25 and f(2)=9
The average rate of change from x=-2 to x=2 is
First, you need to get to one gallon, which is 37.20 divided by 12. (3.1)
Divide that number by four, which is: 0.775, or 0.78 rounded up to the nearest hundredth.
Hope that helped.
(-2x^3 +x -5) * (x^3 -3x)
= x^6*(-2*1) +x^4*(-2*-3 +1*1) +x^3*(-5) +x^2*(-3) +x(-5*-3)
= -2x^6 +7x^4 -5x^3 -3x^2 +15x
Answer:
- 21
Step-by-step explanation:
The minimum value occurs at the vertex of the function
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Given
f(x) = x² - 6x - 12
add/ subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 - 12
= (x - 3)² - 21
with vertex = (3, - 21 )
The minimum is the value of k, that is minimum value = - 21
Answer:
It can be written as <span>f<span>(−8)</span></span> or <span>f<span>(3<span>(−2)</span>−2)</span></span>
Explanation:
You would substitute <span>−2</span> for the x in <span>3x−2</span> and then insert <span>3<span>(−2)</span>−2</span> for the g. You would end up with <span>f<span>(3<span>(−2)</span>−2)</span></span>, which can also be simplified to <span>f<span>(−8<span>)</span></span></span>
