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castortr0y [4]
4 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]4 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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devlian [24]

Answer:

Improper: 3/2

Mixed: 1 1/2

Step-by-step explanation:

I believe this is right, if not feel free to critique me and I will fix it. I'm sorry in advance if it is incorrect.

3 0
3 years ago
At a football match, there were 250 more men than women. The number of children was twice the number of women and the number of
zlopas [31]

Answer:

450 people were at the match

Step-by-step explanation:

So let's make equation :

W = women

M = Men

C = Children

First equation :

M = W + 250

Second equation :

C = 2W

Third equation :

M = 2(W+C)

Let's substitute the second equation into the third :

M = 2(W + 2W)

M = 2W + 4W

M = 6W

Let's substitute this equation into the first one :

6W = W + 250

5W = 250

W = 50

Now we know that that there were 50 women at the match and can substitute this value for the first equation and then the second :

M = 50 + 250

M = 300

This means that there must have been 300 men at the match.  

C = 2(50)

C = 100

This means that there must have been 100 children at the match.

Adding all values together gives us :

50 + 300 + 100  =

450 people were at the match

Hope this helped and have a good day

5 0
2 years ago
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost,c, after h hours of babysitti
Elina [12.6K]

C=3+5x

C=3+5(5)

C=3+25

C=28

She will make 28$


6 0
3 years ago
Math 015 How do you complete this algebric expression. simplify 2/15x2-3/4x+6-3/10x2+2x-15/2
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Answer:

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Step-by-step explanation:

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3 years ago
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anyanavicka [17]

Answer:

Its G 0% sure

Step-by-step explanation:

100% in edge

6 0
3 years ago
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