The solutions for the given equation 
are x = -1 and x = 3/4. Using the quadratic formula, the solutions for the given equation are calculated.
<h3>What is the quadratic formula?</h3>
The formula which is used to calculate the roots(solutions) of the quadratic equation in the form 
is
x = [- b ± 
]/2a
<h3>Calculation:</h3>
The given equation is
In comparison with the standard form of quadratic equation ,
we get, a = 4, b = 1 and c = -3
So, solving the given equation using the quadratic formula,
x = [- b ± ]/2a
= [- 1 ± 
]/2(4)
= [-1 ± 
]/8
= (-1 ± 7)/8
Thus, x = (-1 + 7)/8 = 3/4 and x = (-1-7)/8 = -8/8 = -1
Therefore, the solutions of the given equation are x = -1 and x = 3/4.
Learn more about solving quadratic equations here:
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Answers:
Internal height is approximately 28.5714285714286 cm
Internal surface area is roughly 9628.57142857143 square cm
Round the values however you need to
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Work Shown:
1 L = 1000 mL
1 L = 1000 cm^3
60 L = 60,000 cm^3 (multiply both sides by 60)
The cooler has volume of 60,000 cubic cm. Let V = 60000
Assuming the cooler is a rectangular prism (aka a block), then we can say
volume = length*width*height
V = L*W*H
60000 = 60*35*H
60000 = 2100H
2100H = 60000
H = 60000/2100
H = 28.5714285714286 which is approximate
And the surface area (SA) is
SA = 2*(LW + LH + WH)
SA = 2*(60*35 + 60*28.5714285714286 + 35*28.5714285714286)
SA = 9628.57142857143 which is also approximate
Units for the surface area are in square centimeters.
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Answer:
5/12=.417
Step-by-step explanation:
12-3-4=5 dark ones
