Answer:
D(1, –5), (7, 1), (–11, 7)
Step-by-step explanation:
The given inequalities are:
y + x ≥ –4
y ≥ x – 6
3y + x ≤ 10
We graph the inequalities as shown in the attachment.
The coordinates of the vertices of the figure formed by the given system of inequalities are:
(1, –5), (7, 1), (–11, 7)
The correct choice is D.
The Mean Absolute Deviation (MAD) Is 13.8
19. It notes or hints to using the quadratic formula because the equation can not be solved by factoring alone. Thus you must use the quadratic formula.
A=-16 B=25 C=3
It is so hard to type a normal equation let alone one of the quadratic formula so I will just attach a picture instead.
However you will end up getting two roots/zeros/x-intercepts of -0.11 and 1.67.
However since it is an application question asking for answers only in the first quadrant you must choose the positive x-intercept.
Therefore the water balloon will land at 1.67 seconds.
20. This question is very simple as it asks you to find a height at a given time. You simply put the given time (1second) into the equation and get your answer.
h=-16(1)^2+25(1)+3
h=12
Also don't mind my little scribble there. :)
Answer:
- a) NTRD standard price = $26.30
- b) range: $11.20 to $33.00, a range of $21.80
Step-by-step explanation:
a) The average is the sum divided by the number of contributors. Let n represent the standard price at Night-Time Rest Days. Then ...
... ($22.45 +18.55 +24.50 +11.20 +n)/5 = $20.60
... 76.70 + n = 103.00 . . . . multiply by 5 and collect terms
... n = $26.30 . . . . standard price at NTRD
b) The lowest standard price is $11.20. The highest breakfast price is $33.00. The range is the difference between these ...
... $33.00 -11.20 = $21.80 . . . . range in cost for a single night