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
pishuonlain [190]
4 years ago
14

The graph below shows a quadratic function f(x) and an absolute value function g(x)

Mathematics
1 answer:
Sophie [7]4 years ago
6 0

Answer:

The x-values that are approximate solution of the equation f(x) = g(x) are x_{1} \approx -3.5 and x_{2}\approx 5, respectively.

Step-by-step explanation:

From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for f(x) = g(x), which are described below:

x_{1} \approx -3.5 and x_{2}\approx 5

The x-values that are approximate solution of the equation f(x) = g(x) are x_{1} \approx -3.5 and x_{2}\approx 5, respectively.

You might be interested in
Angles 1 and 2 are corresponding angles. Angle 1 is 3x+15. Angle 2 is 4x-5. What is the value of x?.
Kisachek [45]

Answer:

number 1 is x=5. 2 is 0.8.

6 0
3 years ago
Please Elijah and Aubrey have summer jobs Elijah deposits the same amount of money in his account every week the equation is y =
Anika [276]

Answer:

Part a) y=125x+23

Part b) The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance

Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.

Step-by-step explanation:

<u><em>The correct question is</em></u>

Elijah and Aubrey have summer jobs. Elijah deposits the same

amount of money in his account every week. The equation y = 125x + 72 represents his bank balance any given week of the summer. Aubrey also deposits the same amount into her account every week. At the end of the third week she has $398. At the end of the sixth week she has $773.

a. Write an equation to represent Aubrey's bank balance any given week of the summer.

b. Would the graph of the equation for Aubrey's balance be parallel to the graph of Elijah's balance? Explain.

c. What do the parallel graphs mean in terms of the situation?

Part a)

Let

x ----> the number of weeks  

y ----> represent bank's balance

we know that

<em>Elijah</em>

y=125x+72 -----> equation A

<em>Aubrey</em>

we have the points

(3,398) and (6,773)

Find the slope m

m=(773-398)/(6-3)

m=375/3

m=125

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=125

point\ (3,398)

substitute

y-398=125(x-3) ----> equation in point slope form

Convert to slope intercept form

y=mx+b

y-398=125x-375

y=125x-375+398

y=125x+23 ----> Aubrey's bank balance

Part b)

Compare the equations

y=125x+72 ----> Elija's bank balance

y=125x+23 ----> Aubrey's bank balance

Remember that

If two lines are parallel, then their slopes are equal

In this problem the slopes are equal

m=125\frac{\$}{week}

therefore

The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance

Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.

5 0
3 years ago
PLS HELP<br><br> How many solutions does this system of equations have?<br> y= -6x-7<br> y=-6x-7
Elis [28]

Answer:

They can have infineyely many solutions :)

5 0
3 years ago
F(x)=3x+2 what is f(5)
adell [148]

Answer:

17

Step-by-step explanation:

Substitute.

f(x)=3(5)+2

    =15+2

    =17

I hope this helps!

8 0
3 years ago
Read 2 more answers
A radio station played a new hit song 34 times a day for 4 days. What partial products would you use to find how many times the
Flauer [41]

Answer:

How many radio stations played that song and how often the song was played on each station.


3 0
4 years ago
Other questions:
  • Which of the following prefixes mean thousandth A Oct B milli C quad D uni
    10·1 answer
  • You are traveling on a turnpike at a rate of 70 miles per hour.
    13·1 answer
  • If ray NP bisects &lt;MNQ, m&lt;MNQ=(8x+12)°, m&lt;PNQ=78°, and m&lt;RNM=(3y-9)°, find the value of x and y
    8·1 answer
  • iTunes charges a one time fee of $10 and $ 1 per song . Spotify charges a one time fee of $20 and $0.50 per song. After how many
    12·1 answer
  • HELP PLEASE I NEED HALP
    9·1 answer
  • Time No
    6·1 answer
  • When multiplying by 10 how many spaces do you move the decimal point
    9·1 answer
  • Find the surface area of the composite figure.
    9·1 answer
  • Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppppppp
    13·2 answers
  • Four student in Ms.Harrison class each attempted to graph a proportional relationship between x and y. which graph shows a propo
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!