Answer:
d
Step-by-step explanation:
Factoring using difference of squares
a² - b² = (a - b)(a + b)
a
x² - 1
= x² - 1²
= (x - 1)(x + 1)
b
x² - y²
= (x - y)(x + y)
c
x² - 4
= x² - 2²
= (x - 2)(x + 2)
d
4 - 16y ← 16y is not a perfect square and so cannot be factored
If it was 4 - 16y² then it could be factored using difference of squares
Y=3x+2
you use y=mx+b and substitute (0,2) for x and y in the equation and also the 3 for the m
In general, given a function g(x), a vertical stretch/compression is given by the transformation below
<h2>Thus, the answer is option B, a vertical compression by a factor of 7.</h2>
Answer:
.
Step-by-step explanation:
Let x represent height of the cone.
We have been given that Sand pouring from a chute forms a conical pile whose height is always equal to the diameter.
We know that radius is half the diameter, so radius of cone would be .
We will use volume of cone formula to solve our given problem.
Upon substituting the value of height and radius in terms of x, we will get:
Now, we will take the derivative of volume with respect to time as:
Upon substituting and , we will get:
Therefore, the sand is pouring from the chute at a rate of .