Answer:
60
Step-by-step explanation:
Answer:
P(2) = 4
Step-by-step explanation:
P(X) = -2X4 + 4X3 - X + 6
Use the remainder theorem to find quotient and remainder and the value of P(2)
First add in any missing exponents: P(x) = -2x4 + 4x3 + 0x2 -x + 6
Write all the coefficients in a line (including the constant) with the number being solved for off to the left:
Bring down the first coefficient (-2), multiply it by the term in question (2), carry the product up under
the 2nd coefficient and then add down (4-4=0), carry up the sum and repeat process across. The last
sum is the answer for P(2)
(2) -2 4 0 -1 6
-4 0 0 -2
__________________
-2 0 0 -1 4
P(2) = 4
check the answer: P(2) = -2(24) + 4(23) -2 + 6 = -2(16) +4(8) + 4 = 4 Our answer is correct
The quotient is what we would bet by dividing the original equation by the polynomial (x-2). The
answer is given by the bottom numbers which will begin an one lower exponent than the original.
Quotient is: -2x3 + 0x2 + 0x -1 = 2x3 - 1
The remainder is: 4/(x-2)
The average rate of change over the interval 
is 2.17
Explanation:
Given that the cost of a floral bouquet after a discount is given by the function 
We need to determine the average rate of change over the interval
The average rate of change can be determined using the formula,
where 
and 
Substituting the value of a and b in the function, we get,
Hence, substituting these values in the formula, we get,
Simplifying, we get,
Dividing, we have,
Thus, the average rate of change over the interval is 2.17
Answer:
5
Step-by-step explanation:
(-3, 8) and (0, 23)
m=(y2-y1)/(x2-x1)
m=(23 - 8)/(0+3)
m=(15)/3
m = 5
