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2 years ago

Sketch a graph of f(x)

Mathematics

1 answer:

just olya [345]2 years ago

3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

For $x\leq -2$ -----> the interval is (-∞,-2]

$f(x)=-3$

For $-2 < x \leq 1$ -----> the interval is (-2,1]

$f(x)=x$

For $x > 1$ -----> the interval is (1,∞)

$f(x)=2$

The graph in the attached figure

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UNO [17]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length

valentinak56 [21]

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall = 10+2x

Since , Area of rectangle = length x width

Then, as per given,

$252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9$

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

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3 years ago

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Reptile [31]

Answer:

It is the 3rd choice. It is 4 times as big as the smaller cylinder

Step-by-step explanation:

V = πr2h

r - radius

h - height

π - pi

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Step-by-step explanation:

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