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klemol [59]
3 years ago
7

Which of the following functions is graphed below??

Mathematics
2 answers:
il63 [147K]3 years ago
6 0

Answer:

The required piece-wise function is

f(x)=\begin{cases}x^3-3 & \text{ if } x\leq 2 \\ x^2+6 & \text{ if } x>2 \end{cases}

Step-by-step explanation:

From the given graph it is clear that it is a piece-wise function because it is braked in two parts.

One part is defined for x≤2 and other part is defined for x>2 because left curve has closed circle at x=2 and right curve has open circle at x=2.

The y-intercept of the function is -3. From the given graph it is clear that the graph defined for x≤2 is a graph of cubic function that shifts 3 units down. So, the required function for x≤2.

f(x)=x^3-3

From the given graph it is clear that the right curve passes through the point (3,15) and moves towards (2,10).

The function f(x)=x^2+6 satisfied by both the points. So, the required function for x>2.

f(x)=x^2+6

Therefore the required piece-wise function is

f(x)=\begin{cases}x^3-3 & \text{ if } x\leq 2 \\ x^2+6 & \text{ if } x>2 \end{cases}

stellarik [79]3 years ago
3 0
It should be B on my opinion
I hope this help you
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sanjay hockey team played 25 games each season they won 80% of there game. How many games did they lose
Contact [7]

Answer:

5 games

Step-by-step explanation:

Do 80% of 25 which would be 20 and then you can determine how many they lost so if they won 20 games and they have 25 games total then they lost 5 games.

3 0
3 years ago
Kaitlin, Tony, and Austin sent a total of 103 text messages over their cell phones during the weekend. Austin sent 4 times as ma
emmainna [20.7K]

The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.

<h3>How to write and solve equation?</h3>

let

  • Number of messages Kaitlyn sent = x
  • Number of messages Tony sent = x + 5
  • Number of messages Austin sent = 4(x + 5)
  • Total messages = 103

103 = x + (x + 5) + 4(x + 5)

103 = x + x + 5 + 4x + 20

103 = 6x + 25

103 - 25 = 6x

78 = 6x

x = 78/6

x = 13

Number of messages each sent:

Number of messages Kaitlyn sent = x

= 13 messages

Number of messages Tony sent = x + 5

= 13 + 5

= 18 messages

Number of messages Austin sent = 4(x + 5)

= 4(13 + 5)

= 4(18)

= 72 messages

Learn more about equation:

brainly.com/question/2972832

#SPJ1

3 0
1 year ago
Last week Amy ran 31 miles more than Ryan. Amy ran 40 miles. How many miles did Ryan run? I have to write an equation and solve
Korvikt [17]
Variable x is ryans miles
amy-ryan=answer
40-31=x
x=9
ryan ran 9 miles
hope this helps
40-31=x is the equation
8 0
3 years ago
Read 2 more answers
Homework ree
umka21 [38]

Answer:

325 miles and 77 dollars

Step-by-step explanation:

First, create equations. Let x equal the miles driven. The first plan expression  is 38 + 0.12x and the second plan expression is 51 + 0.08x. Setting these equal and solve for x: 38 + 0.12x = 51 + 0.08x -> 0.04x = 13 -> x = 325 miles.

The cost is found by substituting it into any of the expressions: 51 + 0.08(325) = 77 or 38 + 0.12(325) = 77

6 0
3 years ago
Help help please will give brainliest PLEASE DON'T ANSWER IF YOU DON'T KNOW THE ANSWER​
sergey [27]

Answer:

0 is the answer. I think.

5 0
3 years ago
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