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xxTIMURxx [149]
2 years ago
8

Part C Now try this one. Write a description of the partitioned function using known function types, including transformations.

Mathematics
1 answer:
Sever21 [200]2 years ago
6 0

Answer:

Following are the function description to the given question:

Step-by-step explanation:

In the given-question, three functions are used, that can be defined as follows:  

In function 1:

This function is also known as the modulus on the absolute value function, for example:

f(x)=| x| \left \{ {{x , \ \ \ x>0} \atop {-x, \ \ \ \x

In the given in the above graph, that is f(x) = -x , \ \  x

In function 2:

In this function, It is an algebraic function that is y=x^2

It is also a part of the quadratic polynomial function, and its value is y=x^2 , \ \ \ x> 0  

In function 3:

In this function, it is the cubic polynomial equation that's value is y=x^3

In the graph its value is:

y=-x^3\\\\and \\ \\\to y= f(x) \\\\ \to y=-f(x)\\

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PROBLEM #1
lesantik [10]

Answer:

  • 500 - 25w ≥ 200

Explanation:

Translate every verbal statement into an algebraic statement,

<u>1. Keith has $500 in a savings account at the beginning of the summer.</u>

  • Initial amount: 500

<u>2.  He wants to have at least $200 in the account by the end of summer. </u>

<u />

  • Final amount ≥ 200

<u>3. He withdraws $25 a week for his cell phone bill.</u>

<u />

  • Call w the number of weeks
  • Withdrawls = 25w

<u>4. Write an inequality that represents Keith's situation.</u>

  • Create your model: Final amount = Initial amount - withdrawals ≥ 500

  • 500 - 25w ≥ 200

With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:

  • 500 - 200 ≥ 25w
  • 300 ≥ 25w
  • 300/25 ≥ w
  • 12 ≥ w
  • w ≤ 12

That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.

8 0
3 years ago
What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?
andre [41]
Answer is b hope this helps
6 0
3 years ago
PLEASE HELP FAST!! Lake Alice is filled with alligators and turtles. The number of turtles is 16 less than 3 times the number of
san4es73 [151]

Answer:

72 alligators, 128 turtles

Step-by-step explanation:

When you put the words into the form of an equation, with a being alligators, you get

3a-16=200

So you have to do 'letters left numbers right'. This gives you

3a=216

Now you have to divide. 216 divided by 3 equals 72. So there are 72 alligators. 200 minus 72 equals 128, so there are 128 turtles

7 0
2 years ago
Read 2 more answers
The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 555
a_sh-v [17]

Answer:

b c d

Step-by-step explanation:

8 0
3 years ago
Help with this please, thanks :)
Vlada [557]
<h3>Answer:</h3>

✔ Angle 3 and 8

✔ Angle 7 and 4

Explanation:

<u>Vertically Opposite Angles are the angles opposite each other when two lines cross. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down</u>.

4 0
3 years ago
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