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never [62]
3 years ago
11

In a community garden​ (shown to the​ right) you want to plant and fence in a vegetable garden that is adjacent to your​ friend'

s garden. You have at most 48 ft of​ fence, and the fence must surround all four sides of your garden. What are the possible lengths of your​ garden?

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:   11 x 13 feet

Step-by-step explanation:

Normally, a question such as this allows one to assume that the wall on the neighbor's garden will also serve as a wall on our garden, but the sentence ". . . and the fence must surround all four sides . . ." leads to the conclusion that the 48 feet must include the side next to the neighbor.  That's waht tis assumes.

The diagram shows a rectangle, so the neighbor's length of 11 feet must be the same on the opposite side.  That leaves (48 - 22) = 26 feet for the two sides.  26/2 = 13 feet each side.  This leads to a garden dimesion of 11 x 13 feet.

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F(x) = x2. What is g(x)?
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3 years ago
What is the solution set of [1/x-2]<-2
BigorU [14]

Answer:

  3/2 < x < 2

Step-by-step explanation:

We assume the problem is ...

  [tek]\dfrac{1}{x-2}<-2[/tex]

This will not be true for x-2 > 0 because that would make the left side positive. So, we must have x < 2, which makes the denominator negative. Multiplying by (x-2), we get ...

  1 > -2(x -2)

  1 > -2x +4

  2x > 3 . . . . . . add 2x-1

  x > 3/2

From above, we also have x < 2, so the solution set is ...

  3/2 < x < 2

7 0
3 years ago
For the given graph, a. describe the end behavior,
satela [25.4K]

Answer:

See below.

Step-by-step explanation:

A)

The end behavior is basically how the function behaves as it approaches negative or positive infinity.

As the function approaches negative infinity, we can see that the graph is going up. In other words:

f(x)\rightarrow\infty\text{ as }x\rightarrow-\infty

As the function approaches positive infinity, we can see that the graph is going down. In other words:

f(x)\rightarrow-\infty\text{ as }x\rightarrow\infty

B)

In even-degree polynomials, both ends of the graph will be going the same way. In this graph, the two ends are going opposite ways so this is an odd-degree function.

C)

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5 0
3 years ago
The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The
otez555 [7]

Answer:

  empirical rule: 81.5%

  table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

  z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

  z = (35,000 -30,000)/5,000 = 1

<u>Empirical rule solution</u>

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

  (100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

__

<u>Calculator solution</u>

A probability calculator for the Normal distribution tells you that ...

  P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

6 0
3 years ago
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