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
Zielflug [23.3K]
2 years ago
8

Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.

Mathematics
1 answer:
Alja [10]2 years ago
7 0

Answer:

y=\frac{96}{x}

Step-by-step explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that: xy=c. This means that the function can be defined as y=\frac{c}{x} by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:  xy = 96, which can be defined as y=\frac{96}{x}

You might be interested in
4. Nine fruit juice bottles contain 4 1/2 litres of fruit juice between them.
brilliants [131]

Answer:

2\frac{1}{2} litres or 2.5 litres

Step-by-step explanation:

From the question, 9 fruit juice bottles contain 4\frac{1}{2} litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4\frac{1}{2} litres and you divide the product by 9.

i.e. Let the quantity of the fruit juice for 5 bottles be x.

9 juice bottles ===> 4\frac{1}{2} litres

5 juice bottles ===> x

∴x = \frac{5 * 4\frac{1}{2} }{9} litres

x = \frac{5 * 4.5}{9} litres

x = \frac{22.5}{9} litres

x = 2.5 litres or 2\frac{1}{2} litres

Hope this helps!!!

3 0
3 years ago
The dimensions of a rectangle are x+3 and x+4. The area of the rectangle is 72. Set up an equation that models this rectangle an
vodomira [7]

Answer: x = 5

Step-by-step explanation:

The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.

l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72

Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.

x^2 + 7x - 60 = 0

Apply the quadratic formula

\frac{-7 (+/-)\sqrt{7^2-(4)*(1)*(-60} }{2*1} =\frac{-7(+/-)17}{2}

We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.

x = 5 and x = -12

An alternate way is just factoring the trinomial to:

(x+12)(x-5) = 0

3 0
3 years ago
HELPPPPP<br> What is the area of the actual living room?
professor190 [17]

Answer:

The answer is 51,200 in².

Step-by-step explanation:

(4x40)x(8x40)=51,200

7 0
3 years ago
SV is a midsegment of △RTU.<br> If TU=y+38 and SV=y–9, what is the value of y?
pav-90 [236]

Answer:

y = 56

Step-by-step explanation:

the midsegment SV is half the length of the side TU , that is

y - 9 = \frac{1}{2} (y + 38) ← multiply both sides by 2 to clear the fraction

2y - 18 = y + 38 ( subtract y from both sides )

y - 18 = 38 ( add 18 to both sides )

y = 56

8 0
2 years ago
For any. Vertical intercept the _______ coordinate is zero
Nonamiya [84]
The X coordinate has to be 0

8 0
3 years ago
Other questions:
  • Jessa works at a potato chip factory and would like to estimate the mean weight in grams of the factory's potato
    13·1 answer
  • Which point is located at (2, 3)?<br> 1 A<br> 2 B<br> 3 C<br> 4 D
    9·2 answers
  • What is the slope of a line that is parallel to the line shown?
    6·1 answer
  • at a nephews party you decide to write down everyone's birthday here are your result what percentage of children have their birt
    14·1 answer
  • Need help with this <br> (Show work pls!!)
    15·1 answer
  • What is the mean of the set of numbers? {–8, –4, –3, –11}
    10·1 answer
  • 2(q–8)&lt; – 10 solve for q
    12·1 answer
  • The Acculturation Rating Scale for Mexican Americans (ARSMA) is a psychological testdeveloped to measure the degree of Mexican/S
    15·1 answer
  • I need help on this math
    8·1 answer
  • Find the solution to the system of equations.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!