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lesya692 [45]
2 years ago
13

Piecewise Functions

Mathematics
1 answer:
SIZIF [17.4K]2 years ago
3 0

Answer:

Check the images below.

Step-by-step explanation:

A Piecewise Function is just a merge of several functions in a single graph. Each function takes a part of the x axis of the graph. On the images below I made the sketches of the graphs identifying them with colors. Note that you have to identify whether the function includes the value or not at the end of their line, if they include them, the circle at the end of the line will have a fill color, it willbe a closed circle. If they do not include the values, they have open circles.

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Emily tried solving a two step equation for the variable. Interpret whether she made a mistake or not. If she did, describe what
Daniel [21]
-1 = z/3 - 7

Emily's Work:

-1 = z/3 - 7

-1(3)=z/3(3)-7

-3 = z - 7 

-3 -7 = z - 7 

z = -10

Right away without having to start at the beginning, I see that she has made a mistake at the 4th-5th line of work.


Instead of adding 7 to both sides, she subtracts it and still leaves it in and doesn't fully finish the equation, as it would really be z-7 = -10

In order to solve it, follow these steps:

Rewrite the initial equation as follows:

x/3 - 7 = -1 

Multiply both sides by 3
x/3(3)-7(3)=-1(3)

x - 21 = -3

Add 21 to both sides

x = 18
3 0
3 years ago
Definition of the identity property of addition and the commutative property of addition
Novay_Z [31]
Let x, y be numbers.
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6 0
4 years ago
Read 2 more answers
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GREYUIT [131]

Answer:

n=-9,-8,-7

Step-by-step explanation:

n<100

but that is the positive square root

\(-10 n is between the negative and positive square root of 100

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3 0
3 years ago
Find the sample space for picking a number from 1 to 3 and choosing red or white
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Answer:

<u><em>The event of picking a number from 1 to 3 consists of:</em></u>

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Choose a red card

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<em>=> </em><u><em>The sample space for picking a number from 1 to 3 and choosing red or white card:</em></u>

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Hope this helps!

:)

3 0
4 years ago
A pair of numbers has a GCF of 6 and a LCM of 60. What could the numbers be? Explain.
vivado [14]

Answer:

(2*3)=6; 60= (2*3)*2*5 (prime factorization)

The numbers in the parenthesis can't be taken out because they are the HCF

So just move the 2 and the 5 on both sides and you'll get two pairs that are (6,30) and (12,30)

5 0
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