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Tema [17]
4 years ago
7

Write the following inequalities in slope interact form -12x-2y> -42

Mathematics
1 answer:
nekit [7.7K]4 years ago
4 0

Answer:

y < -6x+21

Step-by-step explanation:

-12x-2y> -42

Add 12 x to each side

-12x+12x-2y>12x -42

-2y > 12x-42

Divide by -2 remembering to flip the inequality

-2y/-2 < 12x/-2 -42/-2

y < -6x+21

This is in slope intercept form

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2. A museum has an admission fee of $14 and averages 300 visitors per day. The museum board
dlinn [17]

Answer:

The answer to the questions asked is:

a) The maximum possible income for the museum is $4,840 per day.

b) The increase you must make to obtain the maximum income is $8 per ticket.

c) The income of the museum without increasing the fee is $4200.

Step-by-step explanation:

To solve all the questions asked, we must take into account the provided equation:

  • <u>R = -10x2 + 160x + 4200 </u>

The first question asks for the maximum income, that is, the maximum amount of money that can be obtained by making increases in the rate, despite the loss of people, so you must replace the X in the equation with values ​​until instead of increase decrease:

  • R = -10 (1) 2 + 160 (1) + 4200 = 4350
  • R = -10 (2) 2 + 160 (2) + 4200 = 4480
  • R = -10 (3) 2 + 160 (3) + 4200 = 4590
  • R = -10 (4) 2 + 160 (4) + 4200 = 4680
  • R = -10 (5) 2 + 160 (5) + 4200 = 4750
  • R = -10 (6) 2 + 160 (6) + 4200 = 4800
  • R = -10 (7) 2 + 160 (7) + 4200 = 4830
  • <u>R = -10 (8) 2 + 160 (8) + 4200 = 4840 </u>
  • R = -10 (9) 2 + 160 (9) + 4200 = 4830

As you can see, when the increase is $9, the income falls, so <u>the maximum income is $4,840, while it can be seen that it occurs with an increase of $8, which answers the second question</u>.

For the third question, that is, the income of the museum without increasing the fee, you must remember that the variable X is the increase in the fee, therefore, if you want to obtain the income without an increase, it must be given a value of zero to the variable inside the equation, with which we obtain:

  • <u>R = -10 (0) 2 + 160 (0) + 4200 = 4200</u>
3 0
4 years ago
20 POINTS PLEASE HELP ASAP!
Alexxandr [17]

Answer: increasing . . . positive . . . 2

Step-by-step explanation:

As best as I can tell . . .:

increasing . . . positive . . . 2.

The equation describing this line is y = 2x + 2

It has a positive (increasing) slope of 2 (with a y-intercept of +2).

4 0
3 years ago
2 to the power of 15<br> Is it correct to say like this?
vodka [1.7K]

Answer:

yes you can.

Step-by-step explanation:

...

7 0
3 years ago
Read 2 more answers
How do you find the quotient of 45/9
pishuonlain [190]

The quotient of the given fraction 45/9 is 5.

<h3>What is division?</h3>
  • The division is one of the four basic operations of arithmetic, which are the methods by which numbers are combined to form new numbers.
  • Addition, subtraction, and multiplication are the other operations.
  • At the most basic level, the division of two natural numbers is the process of calculating the number of times one number is contained within another.

Quotient:

  • A quotient is a quantity produced by the division of two numbers in arithmetic.
  • The quotient is widely used in mathematics and is also known as the integer part of a division, a fraction, or a ratio.

So, the quotient of 45/9 is 5 as:
45 ÷ 9 = 5

(Refer to the picture given below for working)

Therefore, the quotient of the given fraction is 5.

Know more about division here:

brainly.com/question/25289437

#SPJ9

4 0
1 year ago
To rationalize the denominator of (5-\sqrt(7))/(9-\sqrt(14)) , you should multiply the expression by which fraction?
statuscvo [17]
You would multiply by 

\frac{9+\sqrt{14}}{9+\sqrt{14}}.

When you rationalize the denominator, you multiply by the conjugate of the denominator.  The conjugate is the same numbers and radicals, but with the sign of the radical switched.
4 0
3 years ago
Read 2 more answers
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