Solve the inequalityx - 3 < 3x - 7.
1 answer:
You might be interested in
The demand equation is P = -0.05x + 105
STEP - BY - STEP EXPLANATION
What to find?
<em>The demand equation.</em>
The following information is used to solve the problem.
If (x₁ , y₁) and (x₂, y₂) are any dinstinct points on a line a non-vertical line L, then the equation of the line that has a slope(m) and passes through the point (x₁ , y₁) is given by the formula below:
Assume p, be the unit price and x be the demand when the price is $p.
From the question given, when the unit price x = 300 units, the demand p = $90 and when the unit price x = 1300 units, the demand p = $40
This means the demand curve passes through the points (300, 90) and (1300, 40).
Assume the demand equation is linear, then the line of the equation passes through the points (300, 90) and (1300, 40).
Now;
y=p x₁ =300 y₁ = 90 x₂ = 1300 y₂=40
Substitute the values into the function and simplify.
Simplify the above.
Open the parenthesis.
P- 90 = -0.05x + 15
Add 90 to both-side of the equation.
P = -0.05x + 15 + 90
P = -0.05x + 105
Hence, the demand function is P = -0.05x + 105
Answer: 35 and 27
Step-by-step explanation:
We can solve this by using a system of equations
x will be the first number while y will be the second
This equation means the two numbers will add to get 62
This equation means when subtracted the two numbers will have the difference of 8.
Now I will solve by elimination
When adding the two equations why was eliminated so now we can find the value of x
Now sub in x into one of the original equations to find the value of y