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irga5000 [103]
3 years ago
11

The drama club plans to attend a professional production. Between 10 and 15 students will go. Each ticket costs $25 plus a $2 su

rcharge. There is a one time handling fee of $3 for the entire order. What is a linear function that models this situation? What domain and range are reasonable for the function?
Mathematics
1 answer:
Goshia [24]3 years ago
6 0
A) y = 27x + 3
b) domain: 10<x<15
range: 273<y<408
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During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial
kumpel [21]

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

f(x) = -12x^2 + 60x + 5 ....(1)

(a) For maximum height, put \dfrac{df(x)}{dt}=0

So,

\dfrac{ d(-12x^2 + 60x + 5)}{dt}=-24x+60

Now put,

-24x+60=0\\\\x=2.5\ s

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

f(x=2.5) = -12(2.5)^2 + 60(2.5) + 5\\\\f(x)=80\ \text{feet}                

8 0
3 years ago
3 ice cream cones cost $8.25. At this rate, how much would 5 ice cream cones cost?
Dmitriy789 [7]
Five ice cream cones would cost 13.75 at the rate that each cone costs 2.75
5 0
3 years ago
If mZ1 = (4x + 2)° and m/3 = (5x – 15)", what is the value of a?
posledela

Answer:

17

Step-by-step explanation:

angle one and angle three are equal to each other

so if you set the equations equal to each other

(4x+2)=( 5x-15)

move the 4x the right by subtracting it giving you 1x

then add 15 to 2 giving you 17

17=1x

8 0
3 years ago
Tell whether the angles are vertical or adjacent and solve for x. Solve 11 and 12 for 20 points and brainest.
stiv31 [10]

Answer:

11) x = 45

12) x = 30

Step-by-step explanation:

11)

3x + x = 180

4x = 180

x = 45

12)

4x = 5x - 30

4x - 5x = -30

-x = -30

x = 30

5 0
3 years ago
The volume of a cylindrical water tank is 2783π cubic feet. If the radius is 11 feet, what is the height of the tank?
jolli1 [7]

Answer:

23 feet

Step-by-step explanation:

Givens

Volume = pi r^2 h

r = 11

V = 2783 pi

Solution

2783 pi = pi 11^2 * h            Cancel the 2 pi's

2783 = 11^2 h                       Expand 11^2

2783 = 121 * h                       Divide by 121

2783/121 = h

h = 23 feet

4 0
3 years ago
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