<h3>
Answer: Profit = 6.40 dollars</h3>
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Explanation:
Plug x = 80 into the equation to get
y = 0.12x
y = 0.12*80
y = 9.60
This means the store paid $9.60 for the rope. This amount of money is leaving the store owner's wallet or bank account. We'll keep this in mind for later.
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The graph shows the equation y = 0.20x
Note how the point (1, 0.20) is on the line to help see the slope right away. This trick only works when the line goes through the origin.
You could also use the slope formula to get this. The y intercept is 0 since the line goes through the origin.
This equation and graph show that the price per foot is $0.20, or it's 20 cents per foot.
Plug in x = 80 to find how much the store will make in revenue
y = 0.20x
y = 0.20*80
y = 16
The store makes $16 in revenue when it sells 80 ft of rope.
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The cost to the store was $9.60 found in the first section. The revenue was $16 found in section 2.
So,
profit = revenue - cost
profit = 16 - 9.60
profit = 6.40 dollars
Answer:
54.8 = total area+
Step-by-step explanation:
Start with the widest part near the middle. Three inches is taken away from 7 inches to give 4 inches.
4 inches must be divided by 2 since the triangles so formed are congruent and there are 4 of them.
Use the Pythagorean theorem to get the height of the triangles. Solve the height for just one of them.
height = ??
Base = 2
hypotenuse = 5
height^2 + 2^2 = 5^2
height^2 + 4 = 25
height^2 + 4 - 4 = 25 - 4
height^2 = 21
height = sqrt(21)
height = 4.58
<em>Area of 4 Trangles</em>
Area of the triangles = 4 * (1/2 * 2 * 4.58)
Area of the triangles = 18.32
<em>Area of the Middle Rectangle</em>
Area = l * w
length = 4.58 * 2 where did that 2 come from?
width = 3
Area = 3 * 2 * 4.58
Area = 27.48
<em>Area of the two End Squares</em>
The end squares measure 3 by 3
Area square = s*s
The area = 3*3 = 9
<em>Total Area</em>
Area = 9 + 27.48 + 18.32
Area = 54.8 units.
Answer:
f ^-1 (x) = 2x+28
Step-by-step explanation:
f(x) = 1/2x-14
Replace f(x) with y
y = 1/2 x -14
Exchange x and y
x = 1/2 y -14
Solve for y
Add 14 to each side
x+14 = 1/2 y -14+14
x+14 = 1/2 y
Multiply each side by 2
2(x+14)= 1/2 y*2
2x+28 = y
The inverse function is
f ^-1 (x) = 2x+28
Answer:
9.9 meters
Step-by-step explanation:
Given that the distance between Kelly and launching point was 7m and also the distance between launching point and Dennis was also 7m, to calculate for the distance between Kelly and denise is done by applying the formula used for calculating the hypotenuse in a right angle triangle (the shape that was created)
PICTURE ATTACHED IS A DETAILED STEP BY STEP PROCESS OF HOW 9.9m WAS GOTTEN.
Answer:
Option A is the correct answer
A.x=2a(b-y)
Step-by-step explanation:
Reason: 2a is not a coefficient of y.
Hope it helps you in your learning process.
