answer.
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
madreJ [45]
2 years ago
3

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

, where x is time (in minutes) and y is the amount of water left (in gallons). Analyze the work shown below to determine the initial amount of water.
1. Solve for the y-variable.

y – 12 = –3(x – 1)

y – 12 = –3x + 3

y = –3x +15

2. Write the equation using function notation.

f(x) = –3x +15

The tub started wth how much water?
Mathematics
1 answer:
emmainna [20.7K]2 years ago
5 0

Answer:

15 gallons

Step-by-step explanation:

You might be interested in
Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2 – x?
Sav [38]
For this case we have the following function:
 x ^ 4 + x ^ 3 - x ^ 2 - x

 We can rewrite the function to identify the zeros of it.
 When rewriting the function factoring we have: x (x-1) (x + 1) ^ 2

 Therefore, the zeros of the function are:
 x = 0

x = 1

x = -1
 Thus, the graph that contains intersections on the x axis in the points mentioned, will be the graph of the function.
 Answer:
 
See attached image.

8 0
2 years ago
Read 2 more answers
How does the saying "money breeds money" apply to simple interest?
r-ruslan [8.4K]
It applies because interest slowly increases the amount of money gained. IF you have any Tolkien related questions, feel free to ask me

6 0
2 years ago
Read 2 more answers
Angela is getting a pedicure at a spa that also offers massages where customers pay by the minute. If Angela only gets a pedicur
saveliy_v [14]
This is an expression if she only gets pedicure
y = 35

If she wants to get massage, multiply the cost for a minute with the number of minutes.
Find cost per minute first
cost = 50/20
cost = 2.5

So the expression would be
y = 35 + 2.5x
y = 2.5x + 35
5 0
2 years ago
Ben sells greeting cards for $5 each in his online store. He also charges $1.99 for shipping. The total cost, y, of an order fro
laila [671]
5 would be the dependent variable because the number 5 depends on how many greeting cards are bought.
7 0
2 years ago
Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-
Rufina [12.5K]
To make a positive profit p(x)>0 we need to make:
-100 x^{2} +350x-150 \ \textgreater \  0

Now we solve this for x:
-2 x^{2} +7x-3 \ \textgreater \ 0

We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
x_{1} =  \frac{-b+ \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{2} =  \frac{-b- \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{1} =  \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2}  \\  \\  x_{2} =  \frac{-7- \sqrt{ 49-24 } }{-4}  = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
5 0
2 years ago
Read 2 more answers
Other questions:
  • Three ice cream shops have provided quotes for catering Martina’s ice cream party. Each store charges a delivery fee in addition
    6·1 answer
  • The probability of choosing a penny from the 1980s from the bag of pennies without looking is 3/40. Which term best describes th
    12·2 answers
  • Tracie has saved $425 to spend during her 14 day vacation.About how much money can she spend each day?
    5·1 answer
  • I need help with this quick
    9·1 answer
  • You travel 3 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 4 miles upstream at a speed
    11·1 answer
  • Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, as shown colon
    13·2 answers
  • Seams Personal advertises on its website that 95% of customer orders are received within four working days. They performed an au
    8·1 answer
  • In recent years the mean number of miles driven per year by residents of a particular state was 11,568. A researcher wishes to t
    8·2 answers
  • Estimate how many 12 inch rulers will be about the same length as a bike
    5·1 answer
  • -> What is the remainder of 46 divided by 48?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!