ANSWER: -9
I used a graphing calculator.
Sorry if this is incorrect. Weird calculator I have.
Y=-2(x-5)^2+7
y=-2(x^2-10x+25)+7
y=-2x^2+20x-50+7
y=-2x^2+20x-43
dy/dx=-4x+20, d2y/dx2=-4
Since acceleration, d2y/dx2 is a constant negative, when dy/dx, velocity, equals zero, it represent the absolute maximum for y...
dy/dx=0 only when 4x=20, x=5
y(5)=7 so the vertex is at the point (5, 7). It has an absolute maximum at that point and decreases without bound on either side of x=5. So the parabola opens downward.
The goal was to raise $500 and they sold 43 flowerpots. By how much did they exceed their goal?
Answer:
$145
Step-by-step explanation:
From their sales of 43 flowerpots and considering that each flowepot costs $15 then the total sales will be 43*15=$645
Since the target is $500, to get how much they exceeded the target, we get the difference.
The difference will be 645-500=$145
Therefore, they exceeded target by $145
Answer:
6 2/3 minutes
Step-by-step explanation:
Their rates in "jobs per hour" are ...
(60 min/h)/(15 min/job) = 4 jobs/h
and
(60 min/h)/(12 min/job) = 5 jobs/h
So, their combined rate is ...
(4 jobs/h) + (5 jobs/h) = 9 jobs/h
The time required (in minutes) is ...
(60 min/h)/(9 jobs/h) = (60/9) min = 6 2/3 min
Working together, it will take them 6 2/3 minutes.
51 should be the correct answer