F(x)=(x−8)(x−2)
y=(x−5)2−9
(Pretend the 2 is an exponent)
Use the vertex form, y=a(x−h)2+ky=a(x-2+k, to determine the values of a,h, and k.
a=1
h=5
k=-9
Find the vertex (h, k).
(5, -9)
Answer:
mDF = 90°
(Assuming arc mCE is 5x + 10)
Step-by-step explanation:
When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.
So in this case, we have:
70° = (mCE + mDF)/2
Assuming mCE is 5x + 10, we have:
70 = (5x + 10 + 11x + 2)/2
70 = (16x + 12)/2
70 = 8x + 6
8x = 64
x = 8
So the arc mDF is:
mDF = 11x + 2 = 11 * 8 + 2 = 90°
Answer:
The number of persons using the elevator at any hour is never going to be less that 15.
Step-by-step explanation:
To solves this you have to suppose that there are at least 15 persons on the elevator, and the equation is converted into an inequation:
Now you transform the inequation back to an equation to solve it:

You need to know if there is any negative solution for the equation, to do this you can use the discriminant for a quadratic equation:

In this case, you have a=1, b=-10, c=25

Since the discriminant is 0 and a<0 the equation always is going to be positive. Therefore, the number of persons using the elevator at any hour is never going to be less than 15.
Step-by-step explanation:
For x = 2,6





For a = -3 and b = -8




Answer:
20%
Step-by-step explanation:
all you do is think of the first 2 numbers and say that is the percent.