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2 years ago

6

anita grew a garden with 3/4 of the area for vegetables.in the vegetable section 1/6 of the area is carrots.what fraction of the

total garden is carrots.

1 answer:

frosja888 [35]2 years ago

3 0

9514 1404 393

Answer:

1/8

Step-by-step explanation:

The fraction of the total is ...

(1/6) of (3/4) = (1×3)/(6×4) = 3/24 = 1/8

1/8 of the total garden is carrots.

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Step-by-step explanation:

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Sliva [168]

Answer:

The graph of g(x) is wider.

Step-by-step explanation:

Parent function:

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New function:

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<u>Transformations</u>:

For a > 0

$f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}$

$f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}$

$\begin{aligned} y =a\:f(x) \implies & f(x) \: \textsf{stretched/compressed vertically by a factor of}\:a\\ & \textsf{If }a > 1 \textsf{ it is stretched by a factor of}\: a\\ & \textsf{If }0 < a < 1 \textsf{ it is compressed by a factor of}\: a\\\end{aligned}$

$\begin{aligned} y=f(ax) \implies & f(x) \: \textsf{stretched/compressed horizontally by a factor of} \: a\\& \textsf{If }a > 1 \textsf{ it is compressed by a factor of}\: a\\ & \textsf{If }0 < a < 1 \textsf{ it is stretched by a factor of}\: a\\\end{aligned}$

If the parent function is <u>shifted ¹/₄ unit up</u>:

$\implies g(x)=x^2+\dfrac{1}{4}$

If the parent function is <u>shifted ¹/₄ unit down</u>:

$\implies g(x)=x^2-\dfrac{1}{4}$

If the parent function is <u>compressed vertically</u> by a factor of ¹/₄:

$\implies g(x)=\dfrac{1}{4}x^2$

If the parent function is <u>stretched horizontally</u> by a factor of ¹/₂:

$\implies g(x)=\left(\dfrac{1}{2}x\right)^2$

Therefore, a vertical compression and a horizontal stretch mean that the graph of g(x) is wider.

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