Answer:
The other factor is (x + 2).
Step-by-step explanation:
If x - 10 is a factor of x^2 - 8x - 20 then we must find another factor that includes +2x, so that we have -10x + 2x = -8x. That factor is (x + 2):
x^2 - 8x - 20 = (x - 10)(x + 2)
As a test, multiply -10 and +2. We get -20, matching the constant of the given polynomial. Also, -10x + 2x = -8x, another match.
Answer:
5
Step-by-step explanation:
6x+12 = 9x-3
3x = 15
x= 5
Answer:
c) The equation to find the price of each shrub is $53.50 = 4 p + $17.50
The cost of 1 shrub = p = $ 9.00
Step-by-step explanation:
The total number of shrubs purchased = 4
The price paid for potting soil = $17.50
The total bill of purchase = $53.50
Let us assume the cost of 1 shrub = $p
The total amount spent of 4 shrubs = 4 x ( The price of each shrub) = 4 p
TOTAL BILL = The amount paid for 4 shrubs + AMOUNT paid for SOIL
⇒ $53.50 = 4 p + $17.50
Now. solving for p, we get:
53.50 - 17.50 = 4 p
or, 3 6 = 4 p
or, p = 36/4 = 9
or, p = 9
Hence, the cost of each shrub = $9
Answer:
The answer to the problem is -15.52