Find the value of p and the value of q
Good evening ,
Answer:
x²-9x+12 = (x - (9/2))²- (33/4)
Step-by-step explanation:
Look at the photo below for the details.
:)
In order to find the variables p and q in the equation x^2 - 9x + 12 = (x-p)^2 - q, we first complete the square on the left-hand side which leads us to determine that p=4.5 and q=32.25.
The original equation given is x^2 - 9x + 12 = (x-p)^2 - q. To find the values of p and q, we need to rewrite the left-hand side of the equation in the format of (x-p)^2. This can be done through a process known as completing the square. Looking at the equation x^2 - 9x + 12, we have a perfect square x^2 - 9x + (9/2)^2 = (x-4.5)^2. However, remember, we added (9/2)^2 to both sides, so we have (x-4.5)^2 = x^2 - 9x + 12 + 20.25. Simplifying, (x-4.5)^2 = x^2 - 9x + 32.25, which is our original equation format. Thus, p=4.5 and q=32.25.
#SPJ12
Answer:
The retail price of the shirt is $19.2 .
Step-by-step explanation:
As given
A shirt that has a wholesale price of $12 and is marked up by 60 percent .
60% is written in the decimal form
= 0.60
Markedup price = 0.60 × 12
= $ 7.2
Thus
Retail price of shirt = Wholesale price of shirt + Marked up price
Put all the values in the formula
Retail price of shirt = $12 + $7.2
= $ 19.2
Therefore the retail price of the shirt is $19.2 .
Answer:
3x-7
Step-by-step explanation:
Answer:
(x+4)(x-2)
Step-by-step explanation:
We need to find two numbers that multiply to -8 and add up to 2. These are 4,-2.
Rewrite the polynomial:
x^2-2x+4x-8
and factor each pair:
x(x-2)+4(x-2) = (x+4)(x-2)