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Elena L [17]
3 years ago
7

The amount of revenue in dollars, y, that Amahd receives from selling x posters is given by the equation y = 4x. The cost of pro

ducing x posters is given by the equation below.
How many posters does Amahd need to sell so that the cost and revenue are equal
A. 3
B. 20
C. 50
D. 200

Mathematics
1 answer:
n200080 [17]3 years ago
4 0

Answer: B: 20

Step-by-step explanation:

You are given two functions that are both equal to y. What you would do is set each function equal to y and solve:

4x=3/2x + 50

Next you would subtract 3/2x to isolate the x to one side:

5/2x=50

Then you would multiply by 2/5 to get rid of the fraction so all you’re left with is x=__

x=20

Hope this helps!

You might be interested in
Which graph represents f(x)=
Leona [35]

Answer:


Step-by-step explanation:


There are 3 graphs

Graph B:

f(x) = 9, -5<x<5

Symmetrical about x =0

To the right of x = 5, Passes through (5,9) and (15,30)

Use two point formula

y-9/(30-9) = x-5/(15-5)  or 21(x-5) = 10(y-9)

21(x-5) = 10(y-9)

because of symmetry about x =0, we get

equation as

f(x) = 2.1(x-5|)+90, for |x|>5

     =9, for |x|<5


Graph C is symmetric about x =-5

Hence the equation has an |x+5| in it

Because both sides straight line, right line passes through (-5,0) and (0,5) and hence right equation is x/-5 +y/5 =1

Or x-y = -5

Or y =x+5

Left side line is y = -x-5

Put together y = f(x) = |x+5| for graph C

iii) GraphD:

Graph D has 3 different lines.  Between 4 and t f(x) = 1

For x<4, Line passes through (3,3) and (4,1)

Using two point formula, y-3/(1-3) = x-3/(4-3)

Or -2x+6 = y-3 or 2x+y =9, for x <=4

For x>=4, line passes through (5,1) and (6,3)

Equation is (y-1)/(3-1) = (x-5)/(6-5) Or 2x-10 =y-1

2x-y =9

Together we can write f(x) as

y = |2x+9|,for x<=4 and x>=5

  = 1, for 4<x<5



7 0
3 years ago
Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wed
Lana71 [14]
D is the correct answer. Mike and Kate require $8000 for their wedding and have saved $4000 already, so they need a further $4000. They have saved the money over 12 months, which means they have been saving $333.33 every month (4000/12). In Option A they have 10 months to save money - the original 8 months, plus the 2 months the wedding is postponed. This will give them the chance to save $3333.33 (333.33 x 10). In Option B, they can increase their monthly savings by $80, giving them total monthly savings of $413.33 (333.33 + 80). In the remaining 8 months before the wedding, they will be able to save $3306.66 (413.33 x 8). However, neither of these options give them the $4000 required to make their $8000 budget.
4 0
4 years ago
Maureen, Frank, Tashia, Zane, Eric, and Wesley are addressing envelopes for volunteer work at a local charity. They were given ¾
jolli1 [7]

Answer:

The fraction of the entire mail each person address = 1/8

Step-by-step explanation:

Given that:

number of people addressing envelopes = 6

If they gave out 3/4 of an entire mailing address.

Then, the amount of mailing not addressed is:

= 1 - 3/4

= \dfrac{4-3}{4}

= 1/4

If 6 people shared 3/4 of an entire mailing to address evenly.

Then: each person gets:

=\dfrac{3}{4} \div 6

=\dfrac{3}{4} \times \dfrac{1}{ 6}

= 1/8

The fraction of the entire mail each person address = 1/8

6 0
3 years ago
What is the equation of the line that passes through (-2, 2) and (1, -4)?
poizon [28]

Answer:

y = - 2x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁  = (- 2, 2) and (x₂, y₂ ) = (1, - 4)

m = \frac{-4-2}{1+2} = \frac{-6}{3} = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 2), then

2 = 4 + c ⇒ c = 2 - 4 = - 2

y = - 2x - 2 ← equation of line

3 0
3 years ago
A box contains 6 red balls and 5 green balls. three balls are selected at random from this box "with replacement". what is the p
cricket20 [7]
--------------------------------------------
Given information
--------------------------------------------
Red balls = 6
Green balls = 5

--------------------------------------------
Find total
--------------------------------------------
Total balls = 6 + 5 
Total balls = 11

--------------------------------------------
Find probability 
--------------------------------------------
G = green
R = red
P (R+ G + G) = 6/11 x 5/11 x 5/11 = 150/1331
P (G +R + G) = 5/11 x 6/11 x 5/11 = 150 /1331
P (G +G + R) = 5/11 x 5/11 x 6/11 = 150 /1331
Total probability = 150/1331 +  150 /1331 +  150 /1331 = 450/1331


--------------------------------------------
Ans: The probability is 450/1331
--------------------------------------------



6 0
3 years ago
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