Answer: B. (-4, 0)
<u>Step-by-step explanation:</u>
The question is: when is the <u>function</u> constant?
function is also called f(x), which is also called "y".
So the question is asking: when is the y-value constant?
the y-value is constant (not increasing or decreasing) between x = -4 and x = 0. So the interval is (-4, 0)
Answer:
Kevin can afford to have 15 guests at his party.
Step-by-step explanation:
You know that Kevin's party costs $52, so you can subtract 52 from 97, which is 45. So, he can spend $45 dollars on guests. $45 divided by 3, the amount it takes for each guest, to get 15.
<span>The perimeter is 14.47
Since you have 3 vertices, the polygon you have is a triangle. The sides of the triangle will be XY, XZ, and YZ. Just use the pythagorean theorem to calculate the length of each side and then add the lengths together for the result.
Side XY = sqrt( (-1-3)^2 + (3-0)^2) = sqrt(16+9) = sqrt(25) = 5
Side XZ = sqrt ( (-1-(-1))^2 + (3-(-2))^2) = sqrt(0+25) = sqrt(25) = 5
Side YZ = sqrt( (3-(-1))^2 + (0-(-2))^2) = sqrt(16 + 4) = sqrt(20) = 4.47
Now add the length of each side together
5 + 5 + 4.47 = 14.47</span>
If r = 1/6 and 1/6 is next to 12, it's multiplication. so that's 12 x 1/6.
12 x 1/6 = 2 i believe.