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Furkat [3]
3 years ago
12

Madilyn and Penelope have 28 toys to build. Madilyn builds 3/4 of the toys, while Penelope builds 1/7. How many toys are there l

eft to build?
Mathematics
1 answer:
uysha [10]3 years ago
3 0

Answer:

Step-by-step explanation:

3/4 x 28=21   Madilyn built 21 toys.

1/7 x 28=4     Penelope built 4 toys.

21+4=25        25 toys have been built altogether.

28-25=3

There are 3 toys left to build.

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Answer:

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Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp
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The domain and the range of a function are the set of input and output values, the function can take.

  • <em>The domain and the range of </em>g(x) = 9x^2 - 2<em> is </em>(-\infty, \infty)<em>.</em>
  • <em>The parent function </em>f(x) =x^2<em> is vertically compressed by 9, then shifted down by 5 units to get </em>g(x) = 9x^2 - 2<em />

<em />

Given

g(x) = 9x^2 - 2

<u>Domain and range</u>

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are (-\infty, \infty)

(-\infty, \infty) is in interval notation

The corresponding set notation is: - \infty < x < \infty

<u />

<u>The parent function</u>

We have:

f(x) = x^2

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

(x,y) \to (x,9y)

So, we have:

f'(x) = 9x^2

Next, the function is shifted down by 5 units.

So, we have:

g(x) = f'(x) - 5

g(x) = 9x^2 - 5

Read more about functions at:

brainly.com/question/21027387

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