Answer:
180 gallons
Step-by-step explanation:
200 gal
10% = .10
200 x .10 = 20
200 - 20 = 180
Answer:
a = 5
Remainder when p(x) is divided by x+2 = 62
Step-by-step explanation:
Given:
P(x) = x⁴-2x³+3x²-ax+3a-7
When x+1 divides the polynomial p(x) the ramainder is 19.
Applying remainder theorem,
x = -1
p(-1) = 19
Substitute the x = -1 into the polynomial expression
p(-1) = (-1)⁴-2(-1)³+3(-1)²-a(-1)+3a-7 = 19
1+2+3+a+3a-7 = 19
6-7+4a = 19
4a-1 = 19
4a = 19+1
4a = 20
a = 20/4
a = 5.
Hence, a = 5
p(x) = x⁴-2x³+3x²-5x+8
If p(x) is divided by x+2,
Then the remainder is p(-2)
p(-2) = (-2)⁴-2(-2)³+3(-2)²-5(-2)+8
p(-2) = 16+16+12+10+8
p(-2) = 62
Hence the remaider when p(x) is divided by x+2 is 62
Answer:
x<7
Step-by-step explanation:
4(5−2x)−3x>8x−113
−11x+20>8x−113
−11x+20−8x>8x−113−8x
−19x+20>−113
-20 -20
-19x>-113
/-19 /-19
(flip the sign)
x<7
i can't do the greater than or equal to sign so just remember to add that in :)
