Answer:
3(1+27x^3,y^3)
Step-by-step explanation:
3 is a GCF between the two terms, remove it and any other GCFs, in this case the term 3 doesn’t have any x’s or y’s. the only thing that can be removed from this equation is 3.
Answer:
C. Yes Devon should have evaluated f(3).
Step-by-step explanation:
She substituted the wrong value. For x - 3 to be a factor f(3) must equal 0.
f(3) = 3^3 + 3^2 - 10(3) + 8 = 27 + 9 - 30 + 8
= 14, so x- 3 is not a factor anyway but she did substitute the wrong value.
Answer:
The minimum y-value is
or
Step-by-step explanation:
we have
This is the equation of a vertical parabola open up
The vertex is the minimum y-value on the graph
Convert the equation into vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
------> equation in vertex form
The vertex is the point (-0.5,-7.75)
therefore
The minimum is the point (-0.5,-7.75)
The minimum y-value is
see the attached figure to better understand the problem
We know that the line is tangent at the point (2,8)
The derivative of the function at x=2 is
So, the tangent line passes through the point (2,8) and has slope 2. The equation is
This line crosses the x axis where y=0:
Answer:
A
Step-by-step explanation:
√(x^5) = x^(5/2) = (x^2)√x
√9x = (√9)(√x) = (3)√x
which means: ((x^2)√x) + ((3)√x)
since both have a √x, you can factor it out. for example...if you look at A, if you apply the distributive property you can see it expands back out. hmu if you need a different. explanation