Answer:
6in
Step-by-step explanation:
The volume of a spherical balloon is 4/3 π R^3.
So 288π = 4/3 π R^3
The factors of π cancel out. Divide both sides by 4/3 to get:
216 cubic inches = R^3
Take the cube root of both sides, and you find that R = 6 inches
31
This is simple. The tens digit has to be two less than the ones.
The numbers that fit this rule are...
20 31 42 53
Then, they have to be in between 25 and 50.
The numbers that fit this rule are...
31 and 42
Then, i has to be prime
31 is the only one that fits all three
Answer:
Step-by-step explanation:
1) Not a polynomial. Because x² is in the denominator.
2) Yes, it is a polynomial.
Standard form: 5x² + 2x - 99
3) Not a polynomial.
.
Power of x is a fraction. so , it is not a polynomial.
4) Power of x is (-2). Power of x should not be a negative integer. SO, it is not a polynomial.
5) Yes:
Standard form: -3x⁴ + 12x² + 7x
Answer:
I believe it is C) decreasing when x > -1
Step-by-step explanation:
If you plot all 3 points on a graph, you will notice that the parabola is facing downwards. This means that on the left side of the vertex, it is increasing (the y-value increases). On the right side of the vertex, it decreases (y-value decreases). Note that "decreasing" refers to the y values.
So, since the vertex's x-value is -1 (we know this from the point (-1, 2)), any x-value greater than -1 will be to the right of the vertex. For example, 0, 1, 2, 3, etc. are all greater x-values than -1, so they are all to the right of -1. Since they are on the right, that means the corresponding-values will be decreasing.
Therefore, when x > -1, the parabola is decreasing.
