Answer:
- A. Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.
Step-by-step explanation:
The figure drawn is attached.
This is a quadrilateral.
Clara did it correctly and named properly.
Correct option is A.
We have that
f(x) = (x – 5)³(x + 2)²
we know that
<span>the roots can touch or cross the x axis
</span>The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)³ has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)² has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
therefore
the answer is<span>
the graph of f(x) touch the x axis for the root x=-2
</span>
see the attached figure
9514 1404 393
Answer:
2.83 for log2(x)
15.81 for log(2x)
Step-by-step explanation:
We can get the log function by itself by subtracting the constant and dividing by the coefficient.
5 +6·log2x = 14
6·log2x = 9 . . . . . . . subtract 5
log2x = 1.5 . . . . . . . divide by 6
At this point, we're not sure what is meant by log2x.
log₂(x) = 1.5 ⇒ x = 2^1.5 ≈ 2.83
log(2x) = 1.5 ⇒ x = (10^1.5)/2 ≈ 15.81
The answer is (x-4)(x-12)