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
igomit [66]
3 years ago
7

Please help I don’t know how to do this

Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer:

f(x) = -2x + 7, when x > 1

f(x) = 4x + 1 when x ≤ 1

Step-by-step explanation:

The right side graph passe through points (1,5) and (2,3).  

Hence, the equation of the line  

\frac{y - 5}{5 - 3} = \frac{x - 1}{1 - 2}

⇒ (y - 5) = 2(1 - x)

⇒ y - 5 = 2 - 2x

⇒ y = -2x +7.......... (1)

Now, the left side graph passes through points (1,5) and (0,1)

Therefore, the equation of the graph will be  

\frac{y - 5}{5 - 1} = \frac{x - 1}{1 - 0}

⇒ y - 5 = 4(x - 1)

⇒ y = 4x + 1 ........ (2)

Hence, the equation (1) gives the function in the right side of the given graph which does not include the point (1,5) and extends to the right from this point.

Therefore, f(x) = -2x + 7, when x > 1 (Answer)

Again, equation (2) gives the function in the left side of the given graph which includes the point (1,5) and extends to the left from this point.

Therefore, f(x) = 4x + 1 when x ≤ 1 (Answer)

You might be interested in
Dan bought 6 boxes
Bad White [126]

Answer:

6.95

Step-by-step explanation:

$41.70 / 6  = $6.95 for each box

7 0
3 years ago
Read 2 more answers
A ladybug and ant move at constant speeds. The diagrams with tick marks show their positions at different times. Each tick mark
MissTica

Answer:

From the graph we can say that ant is moving faster than the ladybug

Slope of the ant's movement will be steeper than the ladybug

  • Hence<u>, </u><u>line "</u>v" denotes the speed of ant and <u>line "</u>u" denotes the speed of ladybug.

Unit rate/slope of the graph is (distance traveled/elapsed time)

  • <u>Unit rate of ant is 3/2 cm/sec</u> and <u>that of ladybug is 1 cm/sec.</u>
  • Ant takes (12×2/3) =<u> </u><u>8</u><u> </u><u>sec</u> and ladybug takes (12×1) =<u> </u><u>12</u><u> </u><u>sec</u> to travel 12 cm.

Remember ant will take less time to travel a certain distance than ladybug.

4 0
3 years ago
Jasmine baby-sits for $8.25 per hour. If she baby-sits for 12 hours in one weekend, how much money will she earn? Write your ans
forsale [732]

Answer:

Step-by-step explanation:

8.25*12= $99.00

7 0
2 years ago
What is the sum of the exterior angles of polygon QRST?
Whitepunk [10]

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

3 0
3 years ago
What’s the median of the data on the dot plot? HELP ITS DUE IN ONE HOUR
patriot [66]

Answer:

It is 1.5

Step-by-step explanation:

{0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 11}

 the middle two are 1 and 2.

the mean of 1 & 2 is 1.5 now you have the median!

8 0
2 years ago
Other questions:
  • The question is in the photo.
    15·2 answers
  • (01.03)
    8·1 answer
  • What is the median of the data set?<br><br> {7, 4, 2, 0, 12, 7, 3}
    5·1 answer
  • Enter your answer and show all the steps that you use to solve this problem in the space provided
    7·1 answer
  • 4 times a certain number is 92. what is the number?
    10·1 answer
  • (x + 1)^7<br> Use Pascal's Triangle and Binomial.Theorem
    5·1 answer
  • Can someone help me out with this inequality problem?? Will give brainliest to best answer!!
    11·1 answer
  • I need help with my math final!!
    9·2 answers
  • 8-7x- x2 x+5/х+8 9x -9<br><br><br> Every step on how you got your answer.
    12·1 answer
  • You saved $280 on your new laptop because you bought it online. If this was a 20% savings from the original price, find the orig
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!