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
Likurg_2 [28]
2 years ago
13

Good Afternoon. I hope you’re well:) I need to understand how to go about solving this without a calculator, please. Thank you s

o much and have a blessed day!

Mathematics
1 answer:
Alinara [238K]2 years ago
3 0

Answer:

Step-by-step explanation:

Being able to do this requires that you understand what is being asked and that you understand domain. This is a piecewise function, made up of 4 different parts, and each part has a domain different from every other part. Now look at the solutions. We are given coordinates, x and y. So this is how this problem is done.

In a. the coordinate is (-1, 1), right? x = -1 here, so the equation that we "pick" (I'll explain that in a sec) has to have a domain where -1 will fall. The first part of this piecewise has a domain of less than or equal to -11. Is -1 less than or equal to -11? No, it is not. -1 is greater than -11, so the equation we "pick" to use will not be this one. Look at the next piece of the function and note its domain. This domain is that x is greater than -11 and less than 5. Does -1 fit in that domain? Is -1 included in that spread of numbers? Yes it is, so that is the equation we will use. By use I mean that we will plug in -1 for x and see if y = 1 (that number comes from the coordinate (-1, 1) where y = 1). The equation is y = x + 2 and plugging in -1 for x:

y = -1 + 2 so

y = 1 and this point is on the piecewise. Let's do one more example so you can see how it looks when it DOESN'T work out, ok?

Look at b. The coordinate is (-2, -10). x = -2, so the same domain, same equation: x + 2. We plug in -2 for x to find y:

y = -2 + 2 so

y = 0.  0 does not equal -10, so this point is not on that graph.

The key here is picking the equation whose domain includes your x value and evaluating the equation at that value of x to find y.

You might be interested in
HELPPPPP PLSSSSS
gogolik [260]

Answer:

0.021 < 0.099 < 0.845

Step-by-step explanation:

Given numbers:

  • 0.021, 0.845, and 99/1,000 = 0.099
  • 0.021, 0.845, 0.099

In ascending order:

  • 0.021 < 0.099 < 0.845
8 0
3 years ago
Read 2 more answers
1. Which fractions are equivalent to 10/14?
amm1812

Answer: 1. 5/7 , 20,28

               2. 5/11

               3. 10/3

               4. 13/4

              5. 60

              6. 36 mins

              7. 3/4 < 33/40

              8. 19/24 , 2/3 , 3/8

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find x<br><br>(a+3)² - 25 = 0​
DanielleElmas [232]
Take the square root of the entire thing for get rid of square, then solve for a

3 0
3 years ago
Read 2 more answers
If g = 1/5 how much is 15 g
dexar [7]
The answer to this question is 3. to solve this, multiple g, which is 1/5, by 15. This will give you 15/5. now, divide 15 by 5 and you will get 3. I hope this helps!
5 0
3 years ago
Read 2 more answers
Convert y=9 from rectangular to polar form
Crazy boy [7]

Answer:

r = 9/sin Ф or r = 9 csc Ф

Step-by-step explanation:

The polar form is represented as:

x = r cos Ф and

y = r sin Ф

We are given:

y = 9

Putting value in y = r sin Ф

9 = r sin Ф

=> r = 9/sin Ф

1/sin Ф = csc Ф

or, r = 9 csc Ф

5 0
2 years ago
Read 2 more answers
Other questions:
  • Lucy's goal for her cycling class at the gym is to burn 450 calories in one hour. The number of calories (c) she actually burns
    6·2 answers
  • Evaluate. |6 + (-9) + 2| <br><br> 1<br> 13<br> 5
    9·1 answer
  • You buy $16 worth of food at a restaurant. The sales tax is 5.75% and you wish to tip 10%. What is the bill after tax, how much
    10·1 answer
  • What is equivalent to i4?
    10·1 answer
  • Whats the answer for 1/5+2/5+3/5=
    11·1 answer
  • What is the range of the function?
    8·1 answer
  • F(x) = 3x + 8<br> Inverse function?
    7·1 answer
  • Find x.<br><br><br><br> 8<br> 10<br> 10.5<br> 12
    11·2 answers
  • Eli is following this recipe to bake bread rolls.
    15·1 answer
  • If using the method of completing the square to solve the quadratic equation x^2-19x+9=0x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!