We created this inequality to represent how Amy can meet her revenue goals:


-100x2 + 15,750x + 212,500 ≥ 243,600


In this activity, you’ll solve this inequality to find the minimum ticket price Amy should charge to meet her minimum revenue goal.


Part A

Set the inequality greater than or equal to 0.


Part B

Simplify the inequality by dividing by the GCF so the leading coefficient is positive.

Part C

Factor the left side of the inequality by grouping.

Part D

Solve the quadratic inequality. Remember to check any possible solutions for viability.

Part E

What is the minimum number of $2 increases that Amy needs to apply to the ticket price to reach her desired revenue?

Part F

What’s the minimum ticket price that Amy can charge and reach her goal? Recall that the ticket price is represented by 25 + 2x, where x represents the number of $2 increases.

Answers

Answer 1

Answer:

x = 2

Price = $29

Step-by-step explanation:

If x is the number of $2 dollars increases, then the minimum number of increases required to meet her goal is:

[tex]-100x^2 + 15,750x + 212,500 \geq 243,600\\-100x^2 + 15,750x -31,100\geq 0\\x^2 -157.5x + 311\geq 0\\x=\frac{157.5\pm\sqrt{157.5^2-(4*1*311)} }{2}\\ x_1= 2\\x_2=155.5[/tex]

The only realistic value is x = 2 $2 increases

If the original price was $25, then the new rice required to reach Amy's goal is:

[tex]P=25+2*2\\P=\$29[/tex]

The minimum ticket price is $29.

Answer 2

Answer: B: 2x^2-315x+622_< 0

C: (2x-311)(x-2)_< 0

("_<" means greaten than for equal to)


Related Questions

i’m not able to solve this question

Answers

Y=my+b is the first step to your question so it’s 3x+20

A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of x in the drawing below:

Answers

Answer:

x = 8

Step-by-step explanation:

==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.

Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.

Thus, AB/EF = BC/FG = CD/GH = DA/HE

We have: 3/y = 4/3 = 5/z = x/6

Finding z:

4/3 = 5/z

Cross multiply

4*z = 5*3

4z = 15

z = 15/4

z = 3.75

Let's find x:

5/z = x/6

5/3.75 = x/6

Cross multiply

6*5 = x*3.75

30/3.75 = x

8 = x

x = 8

ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)

Answers

Answer:

i hope this helps and its clear !

For what values (cases) of the variables the expression does not exist: a/a-b

Answers

Answer:

The cases are when a-b = 0 and when a = b

Step-by-step explanation:

An expression is termed as undefined (not to exist) if the denominator of the expression is zero. Given the expression a/a-b, the denominator of the expression is a-b. For the expression to be undefined, the expression at the denominator must be equal to zero i.e a-b = 0

If a - b = 0, then a = 0+b; a = b

Another case for the function not to exist is if a = b

Answer this ASAP please! Thanks!

Answers

Answer:

It is D.

Step-by-step explanation:

270 degrees counterclockwise is 90 degrees clockwise.

How do you create and use a table to solve problems?

Answers

Answer: Organizes Data

Step-by-step explanation:

A table can help you organize information, and it can show patterns you can make tables with time, line plots, graphs

What is the following product? (2 sqrt 7 + 3 sqrt 6)(5 sqrt 2 + 4 sqrt 3

Answers

Answer:

[tex]10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\[/tex]

Step-by-step explanation:

[tex](2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\[/tex]

Hope this helps!

Answer:

(2√7 + 3√6) x (5√2 + 4√3)

Multiply the parentheses

= 10√14 + 8√21 + 15√12 + 12√18

= 10√14 + 8√21 + 30√3 + 12√18

How many seconds are in a day? Use the following unit conversions: 60 sec = 1 min 1 hr = 60 min 24 hr = 1 day A 150 B 1,440 C 3,600 D 86,400

Answers

Answer:

There are 86,400 seconds in a day. (Answer choice C)

A 1000 pound boat sits on a ramp inclined at 22 degrees. How much force is pulling down the ramp, and how much force is pressing on a line perpendicular to the ramp?

Answers

Answer:

The force pulling down the ramp is 374.6 lb

The force pressing on a line perpendicular to the ramp is 927.1 lb

Step-by-step explanation:

Given;

weight of boat (mg) , w = 1000 lb

angle of inclination of the ramp, θ = 22 degrees.

The force pulling the boat down, which is 'mg' has two components; the parallel component of the force which is pulling down the ramp and the vertical component of the force which is force pressing on a line perpendicular to the ramp

Parallel component of the force, F = mgsinθ

                                                      F = wsinθ

                                                      F = 1000 sin(22)

                                                      F = 1000 x 0.3746

                                                     F = 374.6 lb

Vertical component of the force which is force pressing on a line perpendicular to the ramp.

F = mgCosθ

F = wCosθ

F = 1000 x Cos(22)

F = 1000 x 0.9271

F = 927.1 lb

A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at random, from the drawer to ensure that a pair of matching-color socks is selected?

Answers

Answer:

its 5

Step-by-step explanation:

think about it,  if you pick 4 socks, it cold be all four different colors but if its 5 then there has to be at least one pair of matching socks so the answer is 5

Evaluate g(x) = 1.873 -0.0034x +0.5 for x = 1 and x = 2.

Answers

Answer:

g(1) = 1.8696

g(2) = 1.8662

Step-by-step explanation:

Simply plug in the x values into the equation in a calc and you should get your answer.

calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high​

Answers

Answer:

432 cm²

Step-by-step explanation:

To find the surface area of a cuboid, there is a formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

Multiply all the terms.

336+96

Add both the terms.

= 432

The surface area of the open cuboid is 432cm².

Answer:

432 cm²

Step-by-step explanation:

The formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

336+96

= 432

The surface area of the open cuboid is 432cm²


Quadrilateral
Wy has vertices W. 19), X10, 10x10,2), and 32,2). Determine if quadrilateral WXYZ is a rhombus,

Answers

Answer: no it’s not

Step-by-step explanation:

it’s a square

What is the solution to the equation 2 (4 minus 3 x) + 5 (2 x minus 3) = 20 minus 5 x? x = –13 x = StartFraction 5 Over 4 EndFraction x = StartFraction 13 Over 2 EndFraction x = 3

Answers

Answer:

8 - 6x + 10x - 15 = 20 -5x

8 + 4x - 15 = 20 - 5x

8 - 15 = 20 - 9x

6 = 20 - 9x

-14 = -9x

divide by -9  .736

Step-by-step explanation:

The solution of the equation 2 (4 – 3x) + 5 (2x – 3) = 20 – 5x will be 3. Then the correct option is D.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equation is given below.

2 (4 – 3x) + 5 (2x – 3) = 20 – 5x

Simplify the equation, we have

2 (4 – 3x) + 5 (2x – 3) = 20 – 5x

      8 – 6x + 10x – 15 = 20 – 5x

                              9x = 27

                                x = 3

Then the correct option is D.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

The total surface area of a right circular cone with the slant height 25cm is 704 sq. cm . Find the volume of the cone.

HELP PLEASE !!!​

Answers

Answer:

area=πr√{h^2+r^2}

area=704cm^2, Height(h) =25cm

therefore,

by solving, πr√{h^2+r^2}=704cm^2

you will get value of r.

now, volume=πr^2×h/3

putting all values answer will come

Step-by-step explanation:

Please help meh lol.​

Answers

Answer:111m^2

Step-by-step explanation:

f(x) = x^2. What is g(x)?

Answers

Answer:

Step-by-step explanation:

[tex]f(x) =x^2[/tex] is, in vertex form,

[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.

g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is

[tex]g(x)=-x^2-4[/tex], choice D in your list.

Answer:

D

Step-by-step explanation:

The opposite side of function f(x) is g(x). So -x².

The y-intercept is -4.

- x² - 4

Please answer this function !!!

Answers

Answer:

f(6)=-114

Solution,

[tex]f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114[/tex]

hope this helps.

Good luck on your assignment..

Answer:

-114

Step-by-step explanation:

To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.

f(x) = -4x + 5x

f(6) = -4(6) + 5(6)

f(6) = -4(36) + 30

f(6) = -144 + 30

f(6) = -114

The answer is -114.

Question 18 of 112
Rocky paid $18378.00 cash and traded-in his old car for $5442.00
What was the price of his new car? (Use the keypad to enter your answer.)

Answers

Answer:

23820$

Step-by-step explanation:

I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5

Answers

Solve by Substitution
Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer: (2, 7)

Answer

C

Step-by-step explanation:

PRIMERO ENCUENTRAS x

y = 6x - 5

y =  x + 5 (-1)

      5x + 10

x = 10/5 = 2

ENTONCES 2 SE SUSTITUYE EN CUALQUIERA DE LAS DOS ECUACIONES

ORIGINALES.

y = 62) - 5 = 7

x intercept f(x)=(x+4)^2

Answers

Answer:

-4

Step-by-step explanation:

Given the function f(x)=(x+4)², the x intercept occurs at f(x)  = 0, substituting f(x) = 0 into the given equation to get the value of x we have;

[tex]0 = (x+4)^{2} \\[/tex]

Taking the square root of both sides

[tex]\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\[/tex]

Subtracting 4 from both sides of the equation

[tex]x+4-4 = 0-4\\x = -4[/tex]

Therefore the x intercept of the equation is -4

The vertex form of the equation of a parabola is y= 2(x + 4)2- 21.
What is the standard form of the equation?
O A. y = 2x2 + 12x+17
O B. y = 4x2 + 4x + 9
O c. x = 2y2 + 5y + 17
O D. y = 2x2 + 16x+11

Answers

Answer:

D. y = 2x2 + 16x+11

Step-by-step explanation:

this is the correct answer, the person above me is incorrect!!

ap ex :)

The standard form of the equation y = 2x² + 16x 11. Then the correct option is D.

What is the parabola?

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The vertex form of the equation of a parabola is y = 2(x + 4)² – 21.

Expand the equation, we have

y = 2(x + 4)² – 21

y = 2(x² + 16 + 8x) – 21

y = 2x² + 32 + 16x – 21

y = 2x² + 16x 11

Then the correct option is D.

More about the parabola link is given below.

https://brainly.com/question/8495504

#SPJ2

What is the measurement of angle 2 ?

A.140˚
B.40˚
C.50˚
D.220˚

Answers

Answer:

im pretty sure 140 because if you take away the seperating line between the given angle and 3 its 180 which if you would do the same to the other side it would be identical. So Try 140

Step-by-step explanation:

It is Option A 140° as the opposite angles are of equal measures in intersecting lines.

Select the two values of x that are roots of this equation.
2x-5=-3x^2

Answers

Answer:

A & D

Step-by-step explanation:

=> 3x²+2x-5 = 0

=> Using Mid-term Break Formula

=> 3x²-3x+5x-5 = 0

=> 3x(x-1)+5(x-1) = 0

=> (3x+5)(x-1) = 0

Either,

3x+5 = 0    OR   x-1 = 0

x = [tex]-\frac{5}{3}[/tex]        OR    x = 1

Answer:   x = 1       and        x = 5/3

Step-by-step explanation:

Graph y≤−2/3x+6. PLEASE I NEED HELP!!!!:((

Answers

Answer:

First graph -2/3x+6 (Slope of -2/3)

(Y intercept of 6)

Then shade everything under that line

Which pair of points have equal x-coordinates

Answers

the pair of points that are equal to x coordinates is (0,0)

One number is 7 more than twice another. If their difference is 22, what is the larger number?
29
37
43

Answers

Answer:

Step-by-step explanation:

We'll write each one of these statements into an algebraic equation. The word "is" means "=", the words "more than" mean "+", and "difference" means subtraction. x will be one number, and y will be the other number. The first sentence, then, in an algebraic equation, is

x = 2y + 7

The second equation, then, is

x - y = 22

Since we know from the first equation what x is equal to, we will sub in what x equals into the second equation in place of x:

2y + 7 - y = 22 and

y + 7 = 22 so

y = 15.

Sub that in for y to solve for x:

x - 15 = 22 so

x = 37

Answer:

its 37

Step-by-step explanation:

What does 8:8 equal?

Answers

Answer:

1

Step-by-step explanation:

8:8=1

Answer:

8:8 simplified is 1:1 or just 1 for short.

Which of these numbers have exactly two factors 7 8 9 10

A B C D

Answers

Answer:

A. 7

Step-by-step explanation:

If a number has exactly two factors, 1 and itself, the number is a prime number. The only prime number below is 7

7= 1*7

8= 1*8= 2*4

9= 1*9= 3*3

10= 1*10= 2*5

of a class of 32 students ,17 study music and 20 studyart what is the least number of students who could study both music and art​

Answers

Answer:

5

Step-by-step explanation:

Answer:
5 students could only study both music art
Other Questions
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