Answer:
The remainder is 55
Step-by-step explanation:
Let
According to the remainder theorem, if p(x) is divided by x+a, the remainder is p (-a).
The given divisor is x+2, therefore the remainder is given by:
We substitute x=-2 to get:
We simplify to obtain:
We multiply to get:
Therefore the remainder is 55
Xy = -150
x + y = 5
x + y = 5
x - x + y = -x + 5
y = -x + 5
xy = -150
x(-x + 5) = -150
x(-x) + x(5) = -150
-x² + 5x = -150
-x² + 5x + 150 = 0
-1(x²) - 1(-5x) - 1(-150) = 0
-1(x² - 5x - 150) = 0
-1 -1
x² - 5x - 150 = 0
x = -(-5) ± √((-5)² - 4(1)(-150))
2(1)
x = 5 ± √(25 + 600)
2
x = 5 ± √(625)
2
x = 5 ± 25
2
x = 2.5 ± 12.5
x = 2.5 + 12.5 or x = 2.5 - 12.5
x = 15 or x = -10
x + y = 5
15 + y = 5
- 15 - 15
y = -10
(x, y) = (15, -10)
or
x + y = 5
-10 + y = 5
+ 10 + 10
y = 15
(x, y) = (-10, 15)
The two numbers that add up to 5 and multiply to -150 are 15 and -10.
The expression 4x^2 represents - (4)(x)(x)
<span> 9.187 to the nearest tenth is 9.2
The 1 in 9.187 is in the tenths place and since the number after it is over 5, you round up. </span>
Answer:
ASAP meaning as soon as possible
