Y=-4x²-4x+8
= -4(x²+x-2)
= 4(x+2)(x-1)
(-2,0),(1,0)
Answer:
~1.8 mile
Step-by-step explanation:
Michael lives at the closest point to the school (the origin) on Maple Street, which can be represented by the line y = 2x – 4.
This means Michael's house will be the intersection point of line y1 (y = 2x - 4) and line y2 that is perpendicular to y1 and passes the origin.
Denote equation of y2 is y = ax + b,
with a is equal to negative reciprocal of 2 => a = -1/2
y2 pass the origin (0, 0) => b = 0
=> Equation of y2:
y = (-1/2)x
To find location of Michael's house, we get y1 = y2 or:
2x - 4 = (-1/2)x
<=> 4x - 8 = -x
<=> 5x = 8
<=> x = 8/5
=> y = (-1/2)x = (-1/2)(8/5) = -4/5
=> Location of Michael' house: (x, y) = (8/5, -4/5)
Distance from Michael's house to school is:
D = sqrt(x^2 + y^2) = sqrt[(8/5)^2 + (-4/5)^2) = ~1.8 (mile)
Answer:
Average is less than 65, therefore, shop did not meet the target.
Step-by-step explanation:
The time series graph gives some information about the number of umbrellas sold in a shop in the first six months of 2015.
From the given graph it is clear that the number of umbrellas sold in Jan, Feb, Mar, Apr, May, June are 54, 84, 72, 94, 52, 26 respectively.
Average sales is
Since, average is less than 65, therefore, shop did not meet the target.
The answer is d, because you have to multiply the price by the percentage off.
Answer:
250-124=126/0.12=1050
answer is 1050 doghnut
Step-by-step explanation:
