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REY [17]
3 years ago
12

For the following quadratic equation, find the discriminant.

Mathematics
1 answer:
77julia77 [94]3 years ago
7 0

Answer: x=4 or x=—12

Step-by-step explanation:

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Let's say a factor in the watercycle is vegetation. Deforestation leads to less vegetation which means less transpiration which affects how the water reenters the atmosphere. In addition, the trees can no longer catch water in their leaves, absorb it, or filter pollutants through their roots before it runs off into say a local body of water.

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2 years ago
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Cost to store : $56 Markup: 80% <br> { Find The Selling Price }
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3 years ago
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A billboard designer has decided that a sign should have 4-ft margins at the top and bottom and 1-ft margins on the left and rig
givi [52]

An equation is formed of two equal expressions. The value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given x is the left-right width of the billboard and y is the height of the billboard. Therefore,

The total area of the billboard, A= x·y

The total printed area of the billboard, A_p=(x-2)(y-8)

Given in problem that the area of the billboard is 3600 ft².

x·y = 3600

y = (3600)/x

Substituting the value of y in the equation of the total printed area of the billboard,

A_p = (x-2)(\dfrac{3600}{x}-8)\\\\A_p = 3600 -8x -\dfrac{7200}{x} + 16\\\\A_p =3616-8x - \dfrac{7200}{x}

Now, the value of x is needed to be minimum, therefore, differentiating the given function,

\dfrac{d}{dx}A_p =\dfrac{d}{dx}3616-8x - \dfrac{7200}{x}\\\\\dfrac{d}{dx}A_p =-8 - \dfrac{7200}{x^2}

Equate the differentiated function with 0,

0=-8x - \dfrac{7200}{x^2}\\\\8x = - \dfrac{7200}{x^2}\\\\x^3 = 900\\\\x = 9.655 ft.

Hence, the value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

4 0
2 years ago
What is 6x+7y=7 in slope intercept form?
leva [86]

Answer: The answer is y= -6/7x+1

4 0
3 years ago
The cost of a car rental is ​$35 per day plus 21 cents per mile. You are on a daily budget of ​$98. Write and solve an inequalit
erma4kov [3.2K]
Let x = mileage
98 >= 35 + .21x
Solving for x:
98 >= 35 + .21x
63 >= .21x
300 >= x
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This says that if the total mileage is 300 miles or less he will be within his budget.
4 0
2 years ago
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