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Softa [21]
2 years ago
13

Parent Functions

Mathematics
1 answer:
jekas [21]2 years ago
7 0

The graph of the parent function is given below;

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given function is;

         1, if -1<x≤0

f(x) = 2, if 0<x≤1

          3, if 1<x≤2

Now, the graph of given function is given below.

Learn more about function from:

brainly.com/question/12431044

#SPJ1

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Because the ones place is under 5, we round down, and 392 becomes 390 when rounded to the nearest 10
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Which of the following graphs would represent the solution set for y&lt;6x-2
OverLord2011 [107]
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Hector has a part-time job at a garage. He gets a paycheck of $820 every for
ElenaW [278]

Answer:

<u>A. Hector pays $ 123 in taxes each paycheck.</u>

<u>B.  Hector should expect to receive $615 or 75% of his regular pay.</u>

<u>C. Hector will be paid $ 902 when he receives his next 4- week paycheck.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Paycheck Hector gets every four weeks = $ 820

2. Hector has to pay 15% of his income in taxes. How much money does he

pay in taxes each paycheck? Show your thinking with a diagram and

calculations.

Taxes = 15% of 820

Taxes = 0.15 * 820

Taxes = $ 123

Hector's paycheck: ←------------------------------820--------------------------------------→

Taxes:                       ←----123---→

3. Hector took a 1-week vacation, so his next paycheck will only be for 3

weeks of work. What percentage of his regular pay should he expect to

receive? How much is that?

We can answer this question using the Direct Rule of Three, this way:

  Weeks         Paycheck

      4                   820

      3                     x

***********************************

4x = 820 * 3

4x = 2,460

x = 2,460/4

x = 615

615/820 = 0.75 = 75%

4. The garage owner is impressed with Hector's work and is giving him a

10% raise. How much will Hector be paid when he receives his next 4- week paycheck?

Raise = 10% of 820

Raise = 0.1 * 820 = 82

Next 4- week paycheck = 820 + 82 = 902

4 0
3 years ago
A study was conducted to determine the mean birth weight of a certain breed of kittens. Consider the birth weights of kittens to
Scrat [10]
1) Call x the sample mean = 3.56

2) Call s the sample standard deviation = 0.2

3) Given that the variable is normally distributed and the sample is large, you determine the interval of confidence from:

x +/- Z(0.5) s/√n

Wehre Z(0.5) is the value of the probabilities over 5% (90% of confidence mean to subtract 10%, which is 5% for each side (tails) of the normal distribuition) and is taken from tables.

Z(0.5) = 0.3085

Then the inteval is

x +/- 0.385 *s /√n = 3.56 +/- 0.385 * 0.2/√45

3.56 +/- 0.011 = ( 3.549, 3.571). This is the answer.
8 0
4 years ago
2 A chef planning for a large banquet
fiasKO [112]

Answer:

320

Step-by-step explanation:

2 out of 5 is the ratio 2/5.

We want the denominator to become 800.

\dfrac{800}{5} = 160

160 \times 2 = 320

\dfrac{2}{5} = \dfrac{2 \times 160}{5 \times 160} = \dfrac{320}{800}

Since 2/5 = 320/800, he will need to prepare 320 cups of soup.

8 0
4 years ago
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