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Delicious77 [7]
3 years ago
7

Darren graphs the linear equations y=-2/5x+3 and 2x+5y=15. The graphs look identical so he believes that the equations represent

the same line. Construct a mathematical argument to show that the two forms are equivalent using 6-8 sentences.
Mathematics
1 answer:
Julli [10]3 years ago
7 0

Answer:

He can solve the second equation for y to verify that it is identical to the first equation.

Step-by-step explanation:

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Pleaseeee help ASAP it’s due today :(
Aleksandr [31]

Let, price increased by x times.

New price = 40 + ( 1 × x ) = 40 + x

It is given that for each $1 increase park loses 300 visitors.

Number of visitors = ( 24000 - 300x )

So, revenue is given by :

R = ( 24000 - 300x )( 40 + x )    ....1)

To finding critical point :

R'(x) = 0

-300( 40 + x )  + ( 24000 - 300x ) = 0     .....By product law

-12000 - 300x + 24000 -300x = 0

600x = 12000

x = 20

So, revenue is maximum at x = 20 .

Putting x = 20 in equation 1) , we get :

R = ( 24000 - 300x )( 40 + x )

R = [ 24000 - 300(20)][40 + 20 ]

R = $1080000

Therefore, park should charge $( 40 + 20 ) = $60 for maximising the revenue and maximum revenue is  $10,80,000  .

Hence, this is the required solution.

5 0
3 years ago
Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?
Ber [7]

Answer:

x^2 + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

(x+2)^2 + 5(x+2) - 6 = 0

x^2 + 4x + 4 + 5x + 10 - 6 = 0

x^2 + 9x + 8 = 0

5 0
2 years ago
(1.5 X 10-2) (8.0 X 10-1)
d1i1m1o1n [39]
Answer: 4080

51•80=4080
7 0
3 years ago
Difference between the smallest term in the data set and the largest term in the data set
tamaranim1 [39]

Range definition:

The difference between the smallest term and the largest term in the data set is called the range.

Answer: Range

6 0
3 years ago
Pls tell me how to convert a fraction into a decimal! I’m having sm trouble understanding:(
pogonyaev

Answer:

1. 0.875 2. 0.666… 3. 2.25 4. 0.8333…

Step-by-step explanation:

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number. Hope you get it! :)

5 0
3 years ago
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