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
nignag [31]
3 years ago
14

9. Water is added to two containers for 16 minutes. The equations below model the ounces of

Mathematics
1 answer:
Vladimir [108]3 years ago
5 0

The two containers hold 328 ounces at the they hold same amount of water.

<u>Step-by-step explanation:</u>

The equations below model the ounces of  water, y, in each container after x minutes.

y = 16x + 104

y = -2x^{2} +40x+160

At the time after the start when the containers hold  the same amount of water, the two equations must be equal.

⇒ 16 x + 104 = -2x^{2}  + 40 x + 160

The first step is to divide everything by 2 to make it simplified.

⇒ 8 x + 52 = - x^2 +20 x + 80

Now put everything on the left .

x^2 + 8 x - 20 x + 52 - 80 = 0

Add the like terms together to further reduce the equation

x^2 - 12 x - 28 = 0

Factorizing the equation to find the roots of the equation.

Here, b = -12 and c = -28

where,

  • b is the sum of the roots ⇒ -14 + 2 = -12
  • c is the product of the roots ⇒ -14 × 2 = -28
  • Therefore, (x-14) (x+2) = 0
  • The solution is x = -2 or x = 14

Take x = 14  and substitute in any of the given two equations,

⇒ y = 16(14) + 104

⇒ y =224+104

⇒ 328 ounces

∴ The two containers hold 328 ounces at the they hold same amount of water.

You might be interested in
Aaron has $4,500 saved to pay for an ATV that costs $7,500.
Komok [63]

Answer:

i think its 0.9994225

Step-by-step explanation:

just subtract the 8.75136.24 bye 7.75193. and there you go.

6 0
3 years ago
The slope of the line containing the points (-2,3) and (-3,1) is
Irina18 [472]

To calculate the slope containing two points, we can use that formula:


\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}


"m" represents the slope and coordinates are expressed as follows: (x, y)


Let's go to the calculations.


\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}\\\\\\ \mathsf{m=\dfrac{1-3}{-3-(-2)}}\\\\\\ \mathsf{m=\dfrac{-2}{-3+2}}\\\\\\ \mathsf{m=\dfrac{-2}{-1}}\\\\\\ \mathsf{m=\dfrac{2}{1}}\\\\\\ \underline{\mathsf{m=2}}


The answer is 2 uc.

5 0
3 years ago
What is the sum of the rational expressions below?<br> x/5+2/3x
Naya [18.7K]

Answer:

B

Step-by-step explanation:

x/5 + 2/3x

first you multiply both denominator.

this will be you denominator unless you can simplify it.

denominator=5 x 3X = 15X

now you times both denominator with the opposite numerator.

e.g. 5 x 2 and X x 3X.

=10 and 3X^2

now you and both numerators which is 3X^2 + 10

so the answer is b

7 0
3 years ago
Read 2 more answers
Find the perimeter of this shape
max2010maxim [7]

Answer:

28

Step-by-step explanation:

Just count the grids

8 0
3 years ago
Find the common ratio of the geometric sequence -2, 6, -18, ...
lara [203]

Answer:

-3

Step-by-step explanation:

You multiply by negative 3 every next term

5 0
3 years ago
Other questions:
  • If 3/5 = 24/a then what does a=?
    15·2 answers
  • How is the interquartile range calculated?
    11·1 answer
  • A turtle crawled at a speed of 1.2 meters per minute for 9 minutes. How far did the turtle crawl? 7.5 meters 7.8 meters 10.2 met
    11·1 answer
  • Can someone plz help me with this one problem?!!
    9·1 answer
  • Need help with this ASAP! THANKS
    8·1 answer
  • On Saturday, the Anderson
    11·1 answer
  • An agency has 4,000 employees. 2,000 employees have at least two years of college education. 1,000 of those employees have bache
    8·1 answer
  • Guys I had to construct a icosahedron for geometry class. I included a image so how does it look????? I’m really worried and i j
    13·1 answer
  • As you can tell from the examples of the number lines below, not all number lines change by one unit from mark to mark. Copy the
    8·1 answer
  • How was life different for Romans with low incomes and wealthy Romans? Romans living in poverty had few duties and more free tim
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!