The given polyn. is not in std. form. To answer this question, we need to perform the indicated operations (mult., addn., subtrn.) first and then arrange the terms of this poly in descending order by powers of x:
P(x) = x(160 - x) - (100x + 500)
When this work has been done, we get P(x) = 160x - x^2 - 100x - 500, or
P(x) = -x^2 + 60x - 500
So, you see, the last term is -500. This means that if x = 0, not only is there no profit, but the company is "in the hole" for $500.
9514 1404 393
Answer:
A) 3y = x + 16
Step-by-step explanation:
The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.
Swapping coefficients, we get ...
-3y = x + c
Negating the y-coefficient gives ...
3y = x + c
Filling in the given point, we have ...
3(5) = -1 + c
16 = c
The equation of the perpendicular line can be written as ...
3y = x + 16 . . . . matches choice A
_____
Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.
A) 2000000000
5,909,999,222-3,999,002,135= 1,910,997,087 which is closest to answer A
Answer:
15/21 and 14/21 so 5/7 is greater
Step-by-step explanation:
21 is the least common multiple for 3 and 7 so you multiply 7 by 3 to get 21 and do the same with the numerator to get 15 and vice versa.
Answer:
Equation: 5t² − 10t + 13 = 0
Answer: No
Step-by-step explanation:
h(t) = -5t² + 10t + 22
When h(t) = 35:
35 = -5t² + 10t + 22
5t² − 10t + 13 = 0
This equation must have at least one real solution if the ball is to reach a height of 35 meters. Which means the discriminant can't be negative.
b² − 4ac
(-10)² − 4(5)(13)
100 − 260
-160
The ball does not reach a height of 35 meters.
