Answer:
3200
Step-by-step explanation:
5 pieces X 1.25 = 6.25
10-6.25 = 3.75 is the new length
Answer:
76°
Step-by-step explanation:
by definition, supplementary angles sum up to 180°
hence,
104° + supplementary angle = 180°
supplementary angle = 180° - 104°= 76°
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
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-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)
-2 is a solution because first you subtract 4x then after you get a new equation you move 15 to the left, then you subtract 15 from -1, then you factor the left side, then you divide both sides of the equation by 2
