X^2 -9x+12=(x-p)^2-q
Find the value of p and the value of q
Answers
Good evening ,
Answer:
x²-9x+12 = (x - (9/2))²- (33/4)
Step-by-step explanation:
Look at the photo below for the details.
:)
Final answer:
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.
Explanation:
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.
Learn more about Completing the square here:
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Megan is putting wallpaper on a wall that measures 8 feet by 12 feet how much wallpaper does Meghan need to cover the wall
The quotient of a number and 3, less 8, is 16. What is the number?
PLZ HELP FAST FIRST PERSON TO ANSWER OR WHOEVER GETS RIGHT GETS BRAINLYEST
to the nearest dollar?
be
A
$737
abe
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Answers
Answer:
A. $737
Step-by-step explanation:
A= p ( 1±r)^t
A= 450 (1 + .025) ^t
A= 450(1.025)^t
A= 450(1.025)^20
A= 737.38
Answers
1 foot = 12 inches.
1 foot 8 inches = 1 foot + 8 inches = 12 inches + 8 inches = 20 inches.
He cuts into 4 equal pieces.
= 20 / 4
= 5 inches.
Each piece would be 5 inches long.
Hope this helps! : )
Answers
Product of 80 prime
Prime factors:2,2,2,2,5.
Answers
60/100 * x = 240
6/10 * x = 240
3/5 x = 240 / : 3/5
x = 240 : 3/5
x = 240 * 5/3
x = 80 * 5
x = 400
Answer:
400
Explanation:
Assume that the number we are looking for is x
We know that:
60% of this number is 240
This means that:
60% * x = 240
0.6x = 240
x =
x = 400
Hope this helps :)
Answers
Correlations on a scatter plot can either be positive or negative. When it has a negative correlation, it means the x values increases as the y values decreases.
There are basically two types of correlation on the scatter plot
- Positive correlation
- Negative correlation
A positive correlation is such that as x increases, y also increases.
However, a negative correlation is such that as x increases, y decreases.
Hence, we can conclude that the x and y values of a scatter plot with negative correlation are in opposite direction.
See attachment for a scatter plot with negative correlation.
Read more about scatter plots at:
Answer:
As x increases, y decreases
Solve the equation:
5x + 65 = 25
What is the value of x
Answers
Answer: -8
Step-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
If you multiply -8 by 5 you get -40. Then if you add 65 to -40 you get 25.
Hope this helps.