If mc004-1. Jpg is the inverse of mc004-2. Jpg and f (x) = 4 x + 12, what is mc004-4. Jpg?.
1 answer:
The inverse of the given function is y = (x-12)/4
<h3>Inverse of a function:</h3>Given the function
We are to get the inverse of the function.
Step 1: Replace the function with y to have:
- y = 4x + 12
step 2: swap the variables;
- x = 4y + 12
Step 3: Make y the subject of the formula:
4y = x - 12
y = (x-12)/4
Hence the inverse of the given function is y = (x-12)/4
Learn more on inverse here: brainly.com/question/4073911
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When the price is at $42 per keyboard, there is a surplus in the market. At $42, there is a surplus of 300 units of keyboards in the market. The pressure is downward. When demand is low, there is a pressure for the prices to be reduced.
<h3>What is the market situation at $18?</h3>At $18, there is a shortage of 200 keyboards. The pressure is upwards. Basic demand and supply indicates that when the demand is above the equilibrium point, the pressure for price to increase is high.
It is to be noted that the equilibrium point is the basis for the above rationalization. The equilibrium point is the price-point at which demand equals supply.
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Full Question:
The following graph shows the monthly demand and supply curves in the market for keyboards.
A) Use the graph input tool to help you answer the following questions. Enter an amount into the Price field to see the quantity demanded and quantity supplied at that price.
B) The equilibrium price in this market is ________ per keyboard, and the equilibrium quantity is ____________ keyboards bought and sold per month.
Complete the following table by indicating at each price whether there is a shortage or surplus in the market, the amount of that shortage or surplus, and whether this places upward or downward pressure on prices.
Also see the attached image.
The volume of the base of the region enclosed by the parabola is; V = 9
<h3>Integral Volume of a Solid</h3>The length of each cross-section is determined by the horizontal distance (parallel to the x-axis) from one end of the parabola to the other.
Thus;
y = 3 - 2x²
Making x the subject gives us;
x = ±√[(3 - y)/2]
Thus;
The horizontal distance is;
√[(3 - y)/2] - (-√[(3 - y)/2])
⇒ 2√[(3 - y)/2]
The area of each cross-section is simply the square of the section's side length, so the area would be;
A = (2√[(3 - y)/2])²
A = 6 - 2y
Thus, volume is;
V =
Solving this gives V = 9
Read more about integral volume of solids at; brainly.com/question/14845570