Dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.
As given in the question,
P(x) be the given polynomial
Dividing P(x) by divisor (x-6) we get,
Quotient = Q(x)
Remainder = 5
Relation between polynomial, divisor, quotient and remainder is given by :
P(x) = Q(x)(x-6) + 5 __(1)
Given Q(-6) = 3
Put x =-6 we get,
P(-6) = Q(-6)(-6-6) +5
⇒ P(-6) = 3(-12) +5
⇒ P(-6) =-36 +5
⇒ P(-6) = -31
Now x =6 in (1),
P(6) = Q(6)(6-6) +5
⇒ P(6) = Q(6)(0) +5
⇒ P(6) = 5
Therefore, dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.
The complete question is:
Dividing the polynomial P(x) by x - 6 yields a quotient Q(x) and a remainder of 5. If Q(-6) = 3, find P(-6) and P(6).
Learn more about polynomial here
brainly.com/question/11536910
#SPJ1
If a line's slope is
, the slope of the perpendicular line is
in this case, the given line has a slope 4, which is 4/1, so the perpendicular line has a slope/gradient
Answer:
The answer to your question is: 2x -13
Step-by-step explanation:
Simplified (8x − 7) + (-2x − 9) − (4x − 3)
8x - 7 - 2x - 9 - 4x + 3
Simplified like terms 8x - 2x - 4x - 7 - 9 + 3
2x -13
Using the profit concept, it is found that she makes a profit of $4 selling a dozen cookies for six dollars.
<h3>What is a profit?</h3>
The profit is given by the <u>subtraction of the revenue by the total costs</u>.
In this problem:
- For the dozen cookies, she earned a revenue of 6 dollars.
- In all, the total cost of the 12 cookies was of 0.5 + 0.7 + 0.4 + 0.4 = 2 dollars.
6 - 2 = 4, hence she makes a profit of $4.
More can be learned about the profit concept at brainly.com/question/4001746
Answer:
percentage error = 12.28%
Step-by-step explanation:
5 x 0.14 = 0.7
5 x 1.14 = 5.7
as increase is not the same as error decrease.
We use the same numbers 12.28% = 0.1228.
5.7 x 0.1228 = 0.69996 = 12.28%
5.7 - 0.69996 = 5.00004 foot. As decrease.
And find it is correct.
His error therefore was 12.28% out.
As we work the first numbers 5.7 and can only x by a number to see 5ft
We take 5.7 x 0.1228 and find 0.69996 when taken from 5.7 ft. is unmistakably 5 foot. (5.00004) ft.
