9514 1404 393
Answer:
-2x +4
Step-by-step explanation:
We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...
p(x) = (x+2)(x-3)q(x) +ax +b
Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...
p(-2) = 8 = -2a +b
p(3) = -2 = 3a +b
Subtracting the first equation from the second gives ...
(3a +b) -(-2a +b) = (-2) -(8)
5a = -10
a = -2
Then the first equation tells us ...
8 = -2(-2) +b
4 = b
So, the remainder from division by (x^2 -x -6) is (-2x +4).
Answer:
-16
Step-by-step explanation:
x^2 -1 /x+4
By putting the value of x in the expression as x = -7
= (-7)^2 - 1/ -7 +4
= (+49) - 1/ -3
= 48/-3
= -16
(1/2) / 5 = 1/2 * 1/5 = 1/10 of a lb
Answer:
x = 11
Step-by-step explanation:
69° + (2x - 1)° = 90° (complementary angles)
69 + 2x + 1 = 90
Add like terms
69 - 1 + 2x = 90
68 + 2x = 90
Subtract 68 from each side
68 + 2x - 68 = 90 - 68
2x = 22
Divide both sides by 2
2x/2 = 22/2
x = 11
D. Square root of 6. D is the correct answer
