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3 years ago

Write a function g in terms of f so that the statement is true.

Mathematics

1 answer:

NISA [10]3 years ago

3 0

Answer:

g(x) = f(5x)

Step-by-step explanation:

We assume that "shrink by a factor of 1/5" means that horizontal distances on the graph of g(x) are 1/5 of those on the graph of f(x).

Dividing x by a dilation factor will cause horizontal dilation of a graph. Here, that factor is 1/5, so the desired function is ...

g(x) = f(x/(1/5))

g(x) = f(5x)

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Answer using elimination will mark brainist -4x+3y=-5 4x-5y=3 2x+3y=36 10x-6y=12

Oksanka [162]

Answer:

Step-by-step explanation:

For Case -1

$\Rightarrow -4x+3y=-5\quad \ldots(i)$

$\Rightarrow 4x-5y=3$

$\Rightarrow 4x=5y+3$

Put the value of $4x$ in equation $(i)$ we get

$\Rightarrow -(5y+3)+3y=-5$

$\Rightarrow -5y+3y-3=-5$

$\Rightarrow 2=2y$

$\Rightarrow y=1$

and thus $4x=5(1)+3$

$x=\frac{8}{4}=2$

Case-2

$10x-6y=12\quad \ldots(i)$

$2x+3y=12\quad \ldots(ii)$

Now multiply $(ii) by 5 and subtract it from (i)$

$10x-6y=12$

$10x+15y=+180$

$\cdots \cdots \cdots$

$-21y=-168$

$y=8$

and $=6$

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3 years ago

Why lines e and f must be parallel

Stella [2.4K]

Answer: B, same side interior angle theorem
The rule is that the two inner angles on the same side of the transversal should add up to 180 degrees

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3 years ago

The 8 foot diameter circular table has a 4 foot wide extension. What is the total area with the extension? How does the area com

galina1969 [7]

Answer: the total area with the extension S≈82,3 foot², S>S'.

Step-by-step explanation:

D₁=8 foot D₂=10 foot a wide extension = 4 foot.

1) Let the total area with the extension S is the area of the circular table S₁

plus a wide extension S₂.

Considere S₁:

$R_1=\frac{D_1}{2} \\R_1=\frac{8}{2} \\R_1=4 foot.\\S_1=\pi* R_1^2\\S_1=\pi *4^2\\S_1=16*\pi \\S_1\approx50,3\ foot^2.\\$

$S_2=8*4\\S_2=32 \ foot^2.$

$S\approx50,3+32\\S\approx82,3 \ foot^2.$

2)\ Considere S':

$R_2=\frac{D_2}{2} \\R_2=\frac{10}{2} \\R_2=5 \ foot.\\S'=\pi *R^2\\S'=\pi *5^2\\S'=25*\pi \\S'\approx78,5\ foot^2.$

S>S'.

Good luck an' have a nice day!

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2 years ago

What is 2/5 divided by 1/3

Nina [5.8K]

Answer:

1 1/5

Step-by-step explanation:

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3 years ago

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