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
TEA [102]
4 years ago
13

Suppose a certain outlet chain selling appliances has found that for one brand of stereo system, the monthly demand is 240 when

the price is $900. However, when the price is $850, the monthly demand is 315. Assuming that the demand function for this system is linear, write the equation for the demand function. Use p for price and q for quantity.
Mathematics
1 answer:
Doss [256]4 years ago
6 0

Answer: Therefore the demand function can be given as;

q = -3/2p + 1590

Step-by-step explanation:

Given that at;

$900 the monthly demand is 240. ....1

$850 the monthly demand is 315. ....2

Since, the function is a linear function. The demand function would be of the form;

q = mp + c ....5

Where q = quantity demanded

p = price m = slope and c = intercept

Substituting conditions 1 and 2 to the equation.

240 = 900m + c. ...3

315 = 850m+ c ...4

Subtracting eqn 4 from 3

-75 = 50m

m = -75/50

m = -3/2

Substituting m = -3/2 into equation 3;

We have,

240= -3/2(900) + c

c = 240 + 3/2(900)

c = 1590

Therefore the demand function can be given as; substituting m and c into equation 5, we have;

q = -3/2p + 1590

You might be interested in
one of the solutions to x2 − 2x − 15 = 0 is x = −3. what is the other solution? x = −5 x = −1 x = 1 x = 5
Goryan [66]
x^{2} -2x-15=0
P(-15)
s(-2)
x^{2} -5x+3x-15
=x(x-5)+3(x-5)
=(x+3)(x-5)
x=5
3 0
4 years ago
What is the length of segment BC? A coordinate plane is shown. Point B is located at negative 3, negative 2, and point C is loca
Mrac [35]
The length of segment BC can be determined using the distance formula, wherein, d = sqrt[(X_2 - X_1)^2 + (Y_2 - Y_1)^2]. The variable d represent the distance between the two points while X_1, Y_1 and X_2, Y_2 represent points 1 and 2, respectively. Plugging in the coordinates of the points B(-3,-2) and C(0,2) into the equation, we get the length of segment BC equal to 5.  
4 0
4 years ago
Read 2 more answers
(5x - 1, if x &lt; -2<br> Evaluate f(x) =<br> Lx+ 3, if x &gt; -2<br> when z = 3.
Brilliant_brown [7]

Answer:

(5x - 1, if x < -2

Evaluate f(x) =

Lx+ 3, if x > -2

when z = 3.

Step-by-step explanation:

5 0
3 years ago
For the rhombus below, find the measure of angles 1,2,3 and 4.
Alexus [3.1K]

Answer:

∠1 is 33°

∠2 is 57°

∠3 is 57°

∠4 is 33°

Step-by-step explanation:

First off, we already know that ∠2 is 57° because of alternate interior angles.

Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.

Then, you basically just do some other pain-in-the-butt things after.

Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.

Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.

57° + 90° = 147°

180° - 147° = 33°

∠1 is 33°

Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.

5 0
3 years ago
What shape do degree 3 functions have?
weqwewe [10]

Answer: Third degree polynomials are also known as cubic polynomials. Cubics have these characteristics: One to three roots. Two or zero extrema.

HOPE THIS HELPS

Please brainliest

5 0
3 years ago
Read 2 more answers
Other questions:
  • Can an expression like 2a+7 be true or false
    8·2 answers
  • The product of seven, y, and x
    11·1 answer
  • How do you get the number 50 with the numbers 2,3,6,8 with using all numbers and only using them once.
    14·1 answer
  • A man bought 5 laptops and a desktop for taka 229600. If a laptop costs taka 32750 find the cost of the desktop
    11·2 answers
  • Please help with this question. Thank you!
    9·1 answer
  • Plz help asasp it would be appreciated
    5·2 answers
  • Im trying to do IXL and I dont understand the way my teacher teaches (ironic right?)
    13·1 answer
  • Hi could some one please HELP me !!!
    14·2 answers
  • -2.8 divided by 0.14 equals
    6·2 answers
  • Can someone help me with both of these
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!