Given:
y-intercept of the graph: (0, 90)
zeros: 5 and 9
The equation that models the function based on the zeros given, is either
y = 90 (x-5) (x-9)
or
y= 2(x-5)(x-9)
try solving for the y-intercept of each function,
y = 90 (0-5) (0-9)
y = 4050
(0, 4050)
y = 2(0-5) (0-9)
y = 90
(0, 90)
therefore, the equation that models the function is y = 2(x-5)(x-9)
Answer:
(x - 5)(x + 3)
Step-by-step explanation:
to solve x² - 2x = 15, we need to get all the terms on one side so we can solve the quadratic equation using factoring. to do this, we subtract 15 from both sides
x² - 2x = 15
- 15 -15
x² - 2x - 15 = 0
now we can factor. we need 2 numbers that when multiplied together give us -15, and when those 2 numbers are added together we get -2
because we have a -15, we can assume that one number must be negative and the other positive, as a negative times a postive is a negative.
we can use 3 and -5 as factors and test it out. we put x in front because we have an x²
(x - 5)(x + 3) < we can FOIL to check to see if this is correct. its not mandatory to check but when you arent sure of the answer you can FOIL it out
FOIL stands for: First, Outside, Inside, and Last terms
F: (x - 5)(x + 3) = x²
O: (x - 5)(x + 3) = -3x
I: (x - 5)(x + 3) = 5x
L: (x - 5)(x + 3) = -15
x² + 3x - 5x - 15 < subtract 3x from 5x
x² - 2x - 15
this checks out, so our answer is (x - 5)(x + 3)
Answer:
Very last choice is the answer.
Step-by-step explanation:
Remark
The thing that is most important is that the horizontal line connect h and the radius is parallel to the cut of the sphere if it was placed right in the middle. That line swings around as though the center was a pivot.
Solution
- So what you have is a circle when that line goes around that part of the sphere.
- To find the length of that line, use the Pythagorean Theorem. Call the line r1.
- r1 ^2 = r^2 - h^2
- So the area is pi * r1^2
- Area = pi (r^2 - h^2)
- The very last one is the answer.
We are given here the individual costs of DVD and CD as well as the total sales and the number of items sold on one day. To solve the number of DVDs and CDs sold each, we devise two independent linear equations:
(1) x + y = 39
(2) 4x + 7y = 204
x- number of DVDs; y - number of CDs
solving, x= 23 DVDs
y = 16 CDs
