1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
damaskus [11]
2 years ago
9

Please help me with this.

Mathematics
1 answer:
tatyana61 [14]2 years ago
7 0

By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:

  1. r (- 3) = 15
  2. r (- 1) = 11
  3. r (1) = - 7
  4. r (5) = 13

<h3>How to evaluate a piecewise function at given values</h3>

In this question we have a <em>piecewise</em> function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the <em>respective</em> interval:

<h3>r(- 3): </h3>

-3 ∈ (- ∞, -1]

r(- 3) = - 2 · (- 3) + 9

r (- 3) = 15

<h3>r(- 1):</h3>

-1 ∈ (- ∞, -1]

r(- 1) = - 2 · (- 1) + 9

r (- 1) = 11

<h3>r(1):</h3>

1 ∈ (-1, 5)

r(1) = 2 · 1² - 4 · 1 - 5

r (1) = - 7

<h3>r(5):</h3>

5 ∈ [5, + ∞)

r(5) = 4 · 5 - 7

r (5) = 13

By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:

  1. r (- 3) = 15
  2. r (- 1) = 11
  3. r (1) = - 7
  4. r (5) = 13

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

You might be interested in
Please help will give Brain!!
leonid [27]

Answer:

Step-by-step explanation:

You are correct. It's 8/5

7 0
3 years ago
Read 2 more answers
all unicorns on rainbow island are either green or yellow. every time the clock strikes midnight the unicorns change their color
Oksi-84 [34.3K]

77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).

You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.

e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?

To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.

In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.

6 0
3 years ago
Nathan has three pieces of wood the first is 9.8 feet in length the second is 7.5 feet in length and the third is 12 feet in len
snow_tiger [21]
9.4 Ft for the first one

7.5 Ft for the second piece

12 Ft for the Third

he uses 5.2 Ft from the first piece of wood so 9.4 - 5.2= 4.6ft
he uses 6.1 ft from the second piece of wood , 7.5 - 6.1 = 1.4 ft
Nathan didnt use any of the 3rd piece of wood , so he still have 12 Feet of wood remaining so, 12+4.6+1.4 = 18 feet of wood left that he didnt use. 
8 0
3 years ago
The diameter of a circle is 14 m. Find its area in terms of \piπ.
Lena [83]
43.96 is what i got! im sorry if i got it wrong
6 0
3 years ago
Read 2 more answers
Is 4/5 greater or less than 45/100 how do you know
rusak2 [61]

Answer:

4/5 is grater than 45/100

Step-by-step explanation:

Why?

because in percentage you make the bottom # a 100 one of them already has that and when it has 100 on the bottom it tells you that the top # is the percentage so 45/100 is 45%

now to make 4/5 a percentage what times 5 = 100?

20 does

so you times the top and bottom by 20

4*20= 80

now your fraction is 80/100  (top # tells you the %)

it's 80%

80% is grater than 45%

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value for b????
    10·2 answers
  • Which strategies can be used to solve this problem?
    5·1 answer
  • Complete the solution of the equation. Find the value of y when x equals -8. -5x - 5y =50
    6·1 answer
  • Which of these is the quadratic parent function?
    6·1 answer
  • PLS HELP ME!
    7·1 answer
  • Harriet had a remote control car every 4/15 of a second the remote control car travels 4/5 of a foot how many feet per second do
    13·1 answer
  • How do you solve this equation: 80x =
    9·1 answer
  • describe the following number patterns in your own words and state the constant difference or constant ratio if there is one​
    12·1 answer
  • 6.) A completely full spherical hot air balloon with a radius of 9 meters is being deflated at a rate of 22 cubic meters per min
    10·1 answer
  • The slope in the linear equation y=12x+5 is _[blank]_.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!