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castortr0y [4]
3 years ago
7

The area of a rectangular garden is given by the quadratic function: LaTeX: A\left(x\right)=-6x^2+105x-294A ( x ) = − 6 x 2 + 10

5 x − 294. Knowing that the area, length, and width all must be a positive value puts restrictions on the value of x. What is the domain for the function? Explain how you determined the domain. For what value of x, produces the maximum area? What is the maximum area of the garden? What is the Range of the function? Explain how you determined the range? What value(s) of x produces an area of 100 square units?
Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer:

Step-by-step explanation:

Domain= All real numbers. To get this answer i just plug the x-values into the quadratic formula to get the y-output.

Maximum area=1323/8

Range= y<= 1323/8

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The height, h, in feet of a ball above the ground is given by h = −16t2 + 64t + 80, where t is the time in seconds. How long doe
Gwar [14]

Answer:

t = 5 seconds

Step-by-step explanation:

It is given that, the height h, in feet of a ball above the ground is given by :

h=-16t^2+64t+80

Where t is in seconds

We need to find how long does it take the ball to hit the ground? When it hits the ground, its height will be equal to 0. So,

-16t^2+64t+80=0\\\\t=\dfrac{-64\pm \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=\dfrac{-64+ \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16},\dfrac{-64-\sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=-1\ s\ \text{and}\ t=5\ s

Neglecting negative time.

It means ball will take 5 seconds to hit the ground.

3 0
3 years ago
The radius of a circle is 6 miles. What is the circle's area?<br> Use 3,14 for pi
ICE Princess25 [194]

Answer: 28.6 miles

Step-by-step explanation:

A = pi r^2

A = 3.14 (3)^2

Now multiply 3.14(3)^3

Your answer is 28.26

* Radius is 1/2 of the diameter.

I believe this is right, but im not sure.

Hope it helps :)

4 0
3 years ago
Answer choices:
Mamont248 [21]

Answer:

(x+8,y-6)

Step-by-step explanation:

it's the number of values that x and y differ

7 0
3 years ago
Solve the following equation to find the value of x:<br> 2(x + 3) =18
lidiya [134]
Distribute the two: 2x + 6 = 18
Subtract the six: 2x = 12
Divide by two: x = 6

That's your answer!
5 0
3 years ago
18 divided by (1+5)(4-2)
crimeas [40]

Answer:

= 3/2

=  \frac{18}{(1 + 5)(4 - 2)}

=  \frac{18}{(6)(2)}

=  \frac{18}{12}

Simplify the fraction.

=  \frac{3}{2}

7 0
3 years ago
Read 2 more answers
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