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GalinKa [24]
3 years ago
5

A car dealership has 24ft of dividers with which to enclose a rectangular play sace

Mathematics
1 answer:
alina1380 [7]3 years ago
6 0

Answer:

A)  Area = A(x) = 24x - x^2

B)  Domain = {x < 24}

Step-by-step explanation:

<u>Complete Question:</u>

A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.  

A) express the area of the play space as a function of x

B) find the domain of the function

Solution:

A)

The rectangle has area of length * width

length is x

so width will be 24 - x

Hence, the area will be:

Area = x(24 - x)

Area = A(x) = 24x - x^2

B)

Domain is the set of x values that make the function defined.

The domain will be all values less than 24.

Because if you take 24, the area would be 0 [doesn't make sense]

if you take anything over 24, the area would be negative [not possible]

Hence, the domain is:

Domain = {x < 24}

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Answer:

The first graph shows a slope of 3.

Step-by-step explanation:

If the slope is 3, it's actually 3/1 because of rise/run. So you find any point on the graph that's directly between two lines, like (-1,-5). Since the line is positive, you would go right one and up three. Then you see if that point is directly between two lines. The next point is (0, -2). If you did the same on the second graph, it wouldn't match up.

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A system of equations is shown below:
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Answer:

y=3

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Step-by-step explanation:

i have answered it....feel free to ask if u don't get it

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3 years ago
A theatre collected $100 from all the 100 attendees in the audience. The prices of the tickets were $10 for adults, $3 for frien
monitta
You can write a system of equations, I'm pretty sure. 
the first equation would be 
10a+3f+.5c=100
and 
a+f+c=100

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Hi! Please help, I'd appreciate it!
Romashka-Z-Leto [24]

The volume of sphere is \frac{1372}{3}\pi feet cubed.

Step-by-step explanation:

Given,

Surface area of sphere = 196π square feet

Surface area of sphere = 4πr²

We will find radius of sphere.

4\pi r^2=196\pi

Dividing both sides by 4π

\frac{4\pi r^2}{4\pi}=\frac{196\pi}{4\pi}\\\\r^2=49

Taking square root on both sides

\sqrt{r^2}=\sqrt{49}\\r=7

The radius is 7 feet.

Volume of sphere = \frac{4}{3}\pi r^3

Volume=\frac{4}{3}\pi (7)^3\\\\Volume= \frac{4}{3}\pi *343\\\\Volume = \frac{1372}{3}\pi

The volume of sphere is \frac{1372}{3}\pi feet cubed.

Keywords: volume, surface area

Learn more about surface area at:

  • brainly.com/question/101683
  • brainly.com/question/103144

#LearnwithBrainly

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Depends on the speed of the road assuming 65 or faster no they were not speeding. At 60 yes they were but not by much lol
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