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).
24 students ===> 100% of the third test &
150% of the second test is 150% of 24 students:
So the 150% in the second test correspond to 150% x 24 = 36
Answer:
Step-by-step explanation:
That easy it 562892929292737737383.65578.98763 well that the algebra version of answering that question!
The function has been shifted to the right 3 units
Answer: C
Explanation: You plug in the x and y coordinates into the equation*as shown* The final answer is -2 is less than or equal to 5 which is correct.