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
Novosadov [1.4K]
3 years ago
11

Please help!!!!! Which defines the piecewise function shown?

Mathematics
2 answers:
Kruka [31]3 years ago
6 0

Answer:

B

Step-by-step explanation:

just did it

denis-greek [22]3 years ago
3 0
<h2>Hello!</h2>

The answer is:

The second piecewise function,

f(x)=\left \{ {{-x-2,x

<h2>Why?</h2>

To answer the question, we need to find which piecewise function contains the graphs shown in the picture, we have that first line shown, is decreasing and exists from the negative numbers to 0,  and the line cuts the x-axis and the y-axis at "-2", for the second line shown,  we have that is decreasing but exists from 0 (including it) to the the positive numbers.

So, finding which piecewise satisfies the function shown, we have:

- First piecewise function:

f(x)=\left \{ {{-x-2,x

First line,

We have the first line,

-x-2

The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exists from all the numbers less than 0, to 0, and it cuts the x-axis at -2 and the y-axis at -2.

Second line,

\frac{x}{2}\geq 0

The variable has positive coefficient, meaning that the function (line) is increasing.

Hence, since the second line is not decreasing, the piecewise function is not the piecewise function shown in the picture.

- Second piecewise function,

f(x)=\left \{ {{-x-2,x

First line,

We have the first line,

-x-2

The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exist from all the numbers less than 0, to 0.

Second line,

-\frac{x}{2}\geq 0

The variable has a negative coefficient ((-\frac{1}{2}), meaning the the unction (line) is decreasing, also we can see that the function does exists from 0 (including it) to the positive numbers.

Hence, we have that the correct option is the second piecewise function,

f(x)=\left \{ {{-x-2,x

Note: I have attached a picture for better understanding.

Have a nice day!

You might be interested in
DONT COMMENT IF YOU DON KNOW
tankabanditka [31]

Answer:

okay so im not sure which is being round so i'll do both

if you are going to round the miles and gallons:

278.2 to 278 because the decimal is below 0.5

19.6 to 20 because the decimal is above 0.5

278/20 = 13.9 which you would round to 14 because the decimal is above 0.5

if you are only going to round the answer:

278.2/19.6 = 14.193877551 which you would round to 14 because the decimal is below 0.5

so regardless of what you do, <u> your answer will be 14</u>

3 0
3 years ago
What is the equivalent fraction of 4/10?
VashaNatasha [74]
Divide both sides by 2.
2/5
:)
8 0
3 years ago
Read 2 more answers
The amount $1.26 is 6% of what price?
swat32
.06x=1.26
x=1.26/.06
x=21
4 0
3 years ago
Read 2 more answers
A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140
amm1812

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

7 0
3 years ago
Which variable expression represents the phrase “the quotient of 5 times a number and 2”?
bezimeni [28]

Answer:

5x/2

Step-by-step explanation:

Say the mystery number is "x"

5 times that = 5 * x = 5x

Then the quotient (that means the result of division, so divide!) of that and 2 would give you: 5x/2

3 0
2 years ago
Other questions:
  • Doug is going to the store to stock up on food for his dog. While in the store, Doug decides to buy a single bag of dog treats a
    12·1 answer
  • A rectangular goat pasture has dimensions represented by the expressions y – 4 and 4y^2-3y+5 .Find the area of the pasture.
    9·1 answer
  • All professional athletes earn a lot of money.Wes plays professional football so he makes a lot of money. What type of reasoning
    10·2 answers
  • Find the measure of the indicated angle to the nearest degree.
    10·2 answers
  • 8(13 + 2y)
    8·1 answer
  • You score an 80% on your test. You answer 44 questions correctly. How many questions were on the test?
    9·1 answer
  • Find the slope between (2, 10) and (9, 1). Substitute in the following numbers that are missing
    14·1 answer
  • 2) through:(-1,-1), slope = -4
    10·1 answer
  • I got HBIA buh ig I got it wrong
    10·1 answer
  • PLEASE HELP!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!