12. A full turn is 360 degrees. 360 divided by 30 is 12.
Saying "a number" is the same as saying "x"
"Three more than a number" is the same as "three more than x"
If you have three more of something (say, marbles) than someone else, then you have their number of marbles plus three more.
Then, "Three more than x" is the same as "three plus x", or "3 + x"
Hope this helps! :)
Let h(x) = 0.
Set each factor to 0 and solve for x.
-(x - 5) = 0
Disregard the negative sign in front of the parentheses.
x - 5 = 0
x = 5 is a zero.
x - 13 = 0
x = 13 is another zero.
The smaller zero is 5.
The larger zero is 13.
Both numbers make the quadratic function become zero.
Use the FOIL METHOD to express h(x) in standard form.
h(x) = -(x - 5)*x - 13)
After using FOIL, we get -x^2 + 18x - 65.
The square x term has a -1 in front. This number is the value of a in the formula below. The coefficient of x is 18. This is our b value.
x = -b/2a
x = -(18)/2(-1)
x = 18/2
x = 9
This number 9 just found is the x-coordinate of the vertex.
To find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify.
h(9) = -(9)^2 + 18(9) - 65
h(9) = 16
The vertex is located at the point (9, 16).
Answer:
6 laps
Step-by-step explanation:
Since the ratio is 2:3, and 4 is twice the number of 2, then you'd have to times 3 by 2, in which you'd get 6.
2/5 * 16 = 32/5
6 2/5 lbs of cheese