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:
LN=10
Step-by-step explanation:
if LM = 5 and MN = 5 then LN=10
Answer with Step-by-step explanation:
We are given that
ABCE is a rectangle .Rectangle is that quadrilateral in which opposite sides are equal and each is equal to 90 degrees.
D is the midpoint of E.
We have to prove that 
Statement:1 ABCE is a rectangle.D is the mid point of CE
Reason: Given
Statement 2:
Reason:By definition of rectangle
Statement:3 AE=BC
Reason: By definition of rectangle
Statement 4:
Reason: By definition of midpoint because D is the midpoint of side EC
Statement 5:
Reason:SAS postulate
Statement: 6 
Reason:CPCT
Hence proved.
58,927 - move decimal 4 places to the left
5.8927
Answer:
The two values of production level are:
x = 20
or
x = 140
Step-by-step explanation:
Let's write the Profit equation by subtracting the cost function from the revenue one:

Now, we set to find the production level "x" to give us a profit of $ 700:

So we solve this quadratic equation using the quadratic formula:

which gives two posible solutions: x = 20, or x = 140