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
Nookie1986 [14]
3 years ago
5

How do you explain this function?

Mathematics
1 answer:
Zanzabum3 years ago
4 0

Hello from MrBillDoesMath!

Answer:

For  0 <= x < =40 the function is that of the straight line 15x which has slope 15. Note that at x = 40 the value of the function is 15(4) =600

For x > 40 , the function is another straight line but with slope 20. This line is steeper than the 15x line but for x near, but slightly greater than  40, the value is close to 600 + 20 (40-40)  or 600 + 20(40-40) = 600.  This is the same value as the first line, 15x, at x = 40.

In summary, the graph of p(x), from   0 <= x <=40, is a line of slope 15 and for x>40 is a line of slope 20.  p(x) has a removable discontinuity at x = 40 because  p(x) approaches 600 as x approaches 40, regardless of the method of approach (i.e. whether x  approaches 40 from values less than 40 or from values greater than 40)




Thank you,

MrB


You might be interested in
Y/-2 = -34<br> giving brain.
podryga [215]

Answer:

y=68

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
1.
Komok [63]

Answer:

Future amount (A) = $1,258.77 (Approx)

Step-by-step explanation:

Given:

Amount deposit (p) = $693

Rate of interest monthly (r) = 4.9% / 12 = 0.003833

Number of month (n) = 13 × 12 = 156

Find:

Future amount (A)

Computation:

A = p [1+r]^n \\\\ A = 693 [1+0.003833]^{156}\\\\ A= 693[1.8163]\\\\ A = 1258.77

Future amount (A) = $1,258.77 (Approx)

6 0
2 years ago
Find the coordinates of the orthocenter for XYZ with X(-5,-1) Y(-2,4), Z(3,-1)
V125BC [204]

9514 1404 393

Answer:

  (-2, 2)

Step-by-step explanation:

The orthocenter is the intersection of the altitudes. The altitude lines are not difficult to find here. Each is a line through the vertex that is perpendicular to the opposite side.

Side XZ is horizontal, so the altitude to that side is the vertical line through Y. The x-coordinate of Y is -2, so that altitude has equation ...

  x = -2

__

Side YZ has a rise/run of -1/1 = -1, so the altitude to that side will be the line through X with a slope of -1/(-1) = 1. In point-slope form, the equation is ...

  y -(-1) +(1)(x -(-5))

  y = x +4 . . . . . . . . subtract 1 and simplify

The orthocenter is the point that satisfies both these equations. Using the first equation to substitute for x in the second, we have ...

  y = (-2) +4 = 2

The orthocenter is (x, y) = (-2, 2).

4 0
3 years ago
A tub of water is emptied at a rate of 3 gallons per minute. The equation y –12 = –3(x – 1) models the amount of water remaining
Masja [62]

The equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have an equation:

y –12 = –3(x – 1)

We can write the above equation as follows:

y = 12 - 3(x - 1)

y = 12 - 3x + 3

y = -3x + 15

or

f(x) = -3x + 15

Plug x = 0

f(0) = 15

The tub started with 15 gallons of water.

Thus, the equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

7 0
2 years ago
15/4 divide by 5/8. show your reasoning
kompoz [17]
15/4 / 5/8
= 15/4 times 8/5 (you flip the 2nd fraction)
15/4 times 8/5 = 120/20
120/20 can be simplified to 6/1=6
The answer is 6
8 0
3 years ago
Read 2 more answers
Other questions:
  • Use the given data to find the minimum sample size required to estimate the population proportion. margin of​ error: 0.0080.008​
    8·1 answer
  • Which shows 2/3 and 3/4 written as a pair of fractions with a common denominator ? 2/3 and 4/3 or 6/9 and 6/8 or 2/12 and 3/12 o
    10·2 answers
  • Find the inverse function (or relation) of the function f(x) =<br> x - 5.
    12·1 answer
  • the bowling alley charges a flat rate of $50 for a birthday party plus $4.25 per person. If Emanuel only has $125 to spend. How
    11·1 answer
  • Mark all the Statements that are true:
    15·1 answer
  • Please help me. I need to finish this!
    14·1 answer
  • -7+(-3) SHOW WORK PLEASE HURRY
    9·1 answer
  • From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square​
    10·1 answer
  • Guys pls help meeee<br> i need help
    12·2 answers
  • Which data sets have outliners?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!