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Lilit [14]
3 years ago
6

A school puts on a play. The play costs $1,200 in expenses. The students charge $4.00 for tickets. There will be one performance

of the play in an auditorium that seats 500 people. What is the domain of the function that shows the profit as a function of the number of tickets sold?
Mathematics
1 answer:
hodyreva [135]3 years ago
8 0
<span>The play costs $1,200 in expenses.
The students charge $4.00 for tickets. 
</span>f(x) = 4x - 1200 
<span>seats 500 people
</span>so 
the domain for x is from 0 to 500

so answer should be
<span>the domain of the functio</span>n is all real numbers from 0 to 500

Hope it helps
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Line m in xy plane contains the points (2,4) and (0,1) which of the following is the equation of M
HACTEHA [7]

Answer:

The equation of line M in slope intercept form is    y=\frac{3}{2}x+1

The equation of line M in standard form is  3x-2y=-2

Step-by-step explanation:

step 1

Find the slope of line M

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the points

(2,4) and (0,1)

substitute

m=\frac{1-4}{0-2}

m=\frac{-3}{-2}

m=\frac{3}{2}

step 2

Find the equation of the line M in point slope form

y-y1=m(x-x1)

we have

m=\frac{3}{2}

point\ (0,1)

substitute

y-1=\frac{3}{2}(x-0)

y-1=\frac{3}{2}x ----> equation in point slope form

step 3

Find the equation of line M in slope intercept form

y=mx+b

Isolate the variable y in the equation of the line in point slope form

y-1=\frac{3}{2}x

Adds 1 both sides

y=\frac{3}{2}x+1

step 4

Find the equation of the line M in standard form

Ax+By=C

where

A is a positive integer

B and C are integers

we have

y=\frac{3}{2}x+1

Multiply by 2 both sides

2y=3x+2

3x-2y=-2 ---> equation in standard form

7 0
3 years ago
4. Add<br> f(x)= 4x?+5x-1<br> g(x) = 2x2 + 5x+3
Maurinko [17]
<h3>Answer:</h3>

A. 3x² +6

<h3>Explanation:</h3>

(f-g)(x) = f(x) -g(x) = (4x²+1) -(x²-5) . . . . . substitute the function definitions

... = 4x² +1 -x² +5 . . . . . . . . . . . eliminate parentheses

... = (4-1)x² +(1+5) . . . . . . . . . . . collect like terms

... = 3x² +6

6 0
3 years ago
Can i get a step by step for this?
jonny [76]

Answer:

  • x = 85°

Step-by-step explanation:

<u>Sum of interior angles of any triangle is 180°:</u>

  • 52° + 43° + x = 180°
  • 95° + x = 180°
  • x = 180° - 95°
  • x = 85°
8 0
3 years ago
Two friends, Sasha and Maria, are growing out their hair. They plan to cut it off at a certain
34kurt

Answer:

13 months, 49 cms

Explanation:

For Sasha, multiply 3 and 13 together for the growth per month. You should get 39, then add the 10 cm Sasha already has. The sum is 49.

For Maria, multiply 13 and 1 for the growth per month. You should get 13, then add the 36 Maria already has. The sum is also 49.

Hope this helps!

8 0
3 years ago
Is 3π/9 irrational or rational​
iren2701 [21]

Answer:

irrational

Step-by-step explanation:

Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.

6 0
3 years ago
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