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Paraphin [41]
3 years ago
13

Write and graph a system of inequalities that models the situation.

Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

The feasible region in the attached figure

Step-by-step explanation:

Let

x ----> the number of shirts

y ----> the number of pants

we know that

The cost of the shirts (number of shirts multiplied by the cost of one shirt) plus the cost of the pants (number of pants multiplied by the cost of one pant) must be less than or equal to $80

so

The inequality that represent this problem is

5x+8y\leq 80

using a graphing tool

The feasible region is the triangular shaded area

see the attached figure

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A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t) = 52t - 16t^2 . What i
ahrayia [7]

Answer:

42.25 feet

Step-by-step explanation:

The height function is a parabola.  The maximum value of a negative parabola is at the vertex, which can be found with:

x = -b/2a

where a and b are the coefficients in y = ax² + bx + c.

Here, we have y = -16t² + 52t.  So a = -16 and b = 52.  The vertex is at:

t = -52 / (2×-16)

t = 13/8

Evaluating the function:

h(13/8) = -16(13/8)² + 52(13/8)

h(13/8) = -169/4 + 169/2

h(13/8) = 169/4

h(13/8) = 42.25

7 0
3 years ago
Read 2 more answers
Help me find the area of this circle
ch4aika [34]
The area would be approximately 153.94.

The area of a circle is pie multiplied by r^2. 

So you have the radius, which is r. Plug in r. Technically you have two numbers because pie equals approximately 3.14.

A=3.14(7)^2 
3 0
3 years ago
2. Calculate the angular speed of the 26-inch bicycle rotating at 200 revolutions per minute. Express your answer in radians per
Alexus [3.1K]
The angular velocity for this problem is given by:
 Angular speed = 200 rev / min
 The first thing you should keep in mind is the following conversion:
 1 rev = 2π radians
 Applying the conversion we have:
 Angular speed = 200 * (2π)
 Rewriting:
 Angular speed = 200 * (2 * 3.14)
 Angular speed = 1256 radians / minutes
 Answer:
 
the angular speed is:
 
Angular speed = 1256 radians / minutes
4 0
3 years ago
Drag each tile to the correct box.
Natasha_Volkova [10]

Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

f(a)=h(3)=4  

f(b)=h(5)=16

a=3

b=5

Substitute

\frac{16-4}{5-3}=6

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

f(a)=f(3)=10  

f(b)=f(6)=35

a=3

b=6

Substitute

\frac{35-10}{6-3}=8.33

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

g(x)=\frac{1}{5}(4)^x

f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}  

f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}

a=2

b=3

Substitute

\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

7 0
3 years ago
A gallon of gas costs $2.73. Walter pays for 24 gallons of gas. He gives the clerk $80.00. How much change should Walter receive
wolverine [178]

Answer:

14.48

Step-by-step explanation:

2.73×24=65.52 is how much 24 gallons cost.

80.00-65.52=14.48 this how much money he would get back from paying for gas

hope this helps

7 0
3 years ago
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