Answer:
If we used the quadratic formula to solve the equation we can say:
-b = -5
b² - 4ac = 13
2a = 2
Solving the first and last equations we get b = 5 and a = 1. Substituting these values into the second equation we get:
25 - 4c = 13
Solving this we get c = 3 so the answer is x² + 5x + 3.
<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 :
R = 6.25%
Solution,
Let P is the principal. It means interest will be :
I=3/8 P
The formula for the interest is given by :
Hence, the rate of interest is 6.25%.
Step-by-step explanation:
f(_3)=(_3)^2+4(_3)
=_3
Answer:
x = 
, y = 
Step-by-step explanation:
Express as 2 equations, that is
x + y = 1 → (1)
- x + 9y = 1 → (2)
Add the 2 equations term by term to eliminate x, that is
10y = 2 ( divide both sides by 10 )
y = 
=
Substitute this value into (1) and solve for x
x + = 1 ( subtract from both sides )
y = 
- =
