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DochEvi [55]
3 years ago
14

A common equation used in business is a demand equation. It expresses the relationship between the unit price of some commodity

and the quantity demanded. In the​ equation, p represents the unit price and x represents the quantity demanded in thousands. A company sells desk lamps and has found that the demand equation for a certain style of desk lamp is given by the equation p equals negative x squared plus 23. Find the demand for the desk lamp if the price is ​$7 per lamp.
Mathematics
1 answer:
lianna [129]3 years ago
8 0

Answer:

The demand of the desk is 4000 units

Step-by-step explanation:

From the question we know that p is equals negative x squared plus 23, that can be written as:

p=-x^{2} +23

Where p is the unit price and x represent the quantity demanded in thousands. Replacing p by 7 and solving for x, we get:

7=-x^{2} +23\\x^{2} =23-7\\x^{2} =16\\x=\sqrt{16\\} \\x=4

Since x is given in thousands of units, if the price is $7, the demand of the desk is 4000 units.

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5 0
2 years ago
Which of the following best describes the graph of this system of equations ? y=-2x+3 and 5y=-10x +15
ELEN [110]

Remark

When talking about straight lines, D is never true. Never.

C is possible, but in this case not true. Read on.

B. Might be true but in this case it is not. The lines (to be parallel) have to have the same number in front of the x. These two lines do when you divide through by 5. But the y intercept has to be different. That is not so in this case. So B is incorrect.

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6 0
3 years ago
Find a solution of inequality 2x+y<10
Vitek1552 [10]

Option C:

The solution of inequality 2x + y < 10 is (5, –3).

Solution:

Given inequality is 2x + y < 10.

Lets substitute the given points in the inequality and find the solution.

Option A: (6, –1)

2(6) + (–1) < 10

12 – 1 < 10

11 < 10

This is false because 11 > 10.

Therefore (6, –1) is not the solution of the inequality.

Option B: (1, 10)

2(1) + (10) < 10

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This is false because 12 > 10.

Therefore (1, 10) is not the solution of the inequality.

Option C: (5, –3)

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Option D: (5, 5)

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7 0
3 years ago
QUICK
timama [110]

Answer:$590

Step-by-step explanation:

500*6%=30

30*3=90

500+90=590

8 0
3 years ago
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elixir [45]
The answer is 87. it was quite simple


7 0
3 years ago
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