Answer:
f(x)= x^3-5x^2-23x-12
Step-by-step explanation:
Given:
function f(x) divided by x + 2, the quotient is x2 – 7x – 9 and the
remainder is 6
When a polynomial f(x) is divided by any another polynomial d(x) and there is q(x) and r then it can be written as:
f(x)= d(x)q(x) + r
Now putting values of d(x)= x+2, q(x)= x2 – 7x – 9 and r=6, we get
f(x)= (x+2)(x^2-7x-9)+6
f(x)= x^3 -7x^2-9x+2x^2-14x-18+6
= x^3-5x^2-23x-12 !
Answer:
is it your homework?
Step-by-step explanation:
Answer:
-100 + x = 40
Step-by-step explanation:
According to the question:
Tyler's original height = -100 feet
Tyler's final height = 40
X to represent change in elevation
As initial + change = final, the equation would be:
-100 + x = 40
Please mark it as brainliest if it helps you!
I wasn't sure about my answer, so used the gauthmath app.
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = a
H = 4
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formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
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answer is:
S = 22*a + 56 (equation 2)
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to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
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since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
-----
equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
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surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
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