Answer:
Three fractions between 1/2 and 1 are 3/4, 4/5, and 5/6.
Answer:
y=8
Step-by-step explanation:
y/0.5=16
multiply each side by 0.5 and you get y=8
Original line equation: y=-4x+4
Perpendicular lines have opposite reciprocals, so the slope of the perpendicular line would be 1/4x.
Perpendicular line equation: y=1/4x+b
Plug in the coordinates that the line passes through to solve for b. Plug -8 in for x and 2 in for y.
2=1/4(-8)+b
Multiply.
2=-2+b
Add 2 to both sides.
4=b
Equation of the perpendicular line: y=1/4x+4
Hope this helps! :)
Answer:
Population 120 given the survey, sample 90 who answered the survey.
Step-by-step explanation:
The entire amount of employees who even received the surveys at all was 120. Because the total number was 120, 120 is the population.
Only 90 out of 120 surveys were received, so 90 is the sample because it is part of 120.
Hope this helps :)
For 11, we start by plugging 1 in, getting 2(1)^2+1-5=-2=y
Plugging 1+m instead, we get 2(1+m)^2+1+m-5=2(1+2m+m^2)+1+m-5
= 2+4m+2m^2+1+m-5= 2m^2+5m-2. We have to find the difference between that and -2, so 2m^2+5m-2 -(-2)=2m^2+5m
Differentiating 12, we use the Power Rule to get -6x^2+14, and plugging x=1 into it, we get -6(1)^2+14=-6+14=18
