Mrs.Thomas sells online math and reading games. His revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.
Math Game: M(d)=2x^2+8x+2
Reading Game: R(d)=3x+5
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.
Graph this system to show the solutions. Label each axis appropriately.

Answers

Answer 1

Mr. Thomas would take 0.5 (half) day for the revenue for each game to be the same.

Revenue is the total amount of money made from selling a particular number of items.

The revenue for math game is:

M(d)=2x² + 8x + 2

While the revenue for Reading Game is:

R(d)=3x+5

For the revenue of each game to be the same, hence:

M(d) = R(d)

2x² + 8x + 2 = 3x + 5

2x² + 5x - 3 = 0

x = -3 or x = 0.5

Since the number of days cannot be negative, hence it would take 0.5 (half) day for the revenue for each game to be the same.

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Related Questions

consider the following matrix. I need to know if the system has zero or infinite solutions or just one solution and if the matrix does/does not have an inverse.​

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Answer:

I think it would be no solution

Step-by-step explanation:

since there is the same slope, the line would never cross. Also the determinate is 0 or 1/0, so there would be no solution

Rewrite 2/11 and 1/7 so that they have a common denominator

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Step-by-step explanation:

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Answer:

rise is 4 and run is 1 so 4/1 or 4

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Hope This Helps!!!

In a recent study at a local college using a simple random sample, 9 students admitted that they had tried alcohol at least once while under the legal drinking age, while 6 students said they had not. Is there enough data to conduct a hypothesis test to see if the percentage of students at the college who admit to drinking underage is the same as the national percentage of 65%

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Answer:

No

But it us Near though

Step-by-step explanation:

9/15 or 3/5 =60%

If GH is an altitude, what would mZGHF have to be?

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Answer:

Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

Step-by-step explanation:

PLEASE LOOK AT THE PHOTO !Number 32 please help me and thank you
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Answers

Answer: 4 1/4 hours

Explanation: 2.5 + 1.75 = 4.25

4.25 = 4 1/4

Which choice is equivalent to the product below?
V14.18
A. A
B. 28
C. 4/28
D. 16.17
SUBMIT

Answers

Answer: Choice A.   [tex]4\sqrt{7}[/tex]

===================================================

Work Shown:

[tex]\sqrt{14}*\sqrt{8}\\\\\sqrt{(14)*(8)}\\\\\sqrt{(7*2)*(2*4)}\\\\\sqrt{7*(2*2)*4}\\\\\sqrt{7*4*4}\\\\\sqrt{4*4*7}\\\\\sqrt{4}*\sqrt{4}*\sqrt{7}\\\\2*2*\sqrt{7}\\\\4\sqrt{7}\\\\[/tex]

string is 38 cm longer than his desk. Length of his reading book is 26 cm, what is the length of his string?

Answers

Answer:

has in lenght of 2 or 5

Step-by-step explanation:

odyssey ware

ig i d k

What is the equation of the line in slop-intercept form?



Enter your answer in the blank spots




y= __x + __

Answers

Answer:

y = 2 1/2 x + 5

Step-by-step explanation:

We were recently going over this. Slope formula: y2 - y1 / x2 - x1. In our case the slope is 2 1/2, and the y-intercept is 5.

Tell me if I'm wrong :)

1.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

f(x) = (3x + 2)(−6x − 3)

A. linear function; linear term: −18x2; constant term: −6

B. quadratic function; quadratic term: 6x2; linear term: 24x; constant term: −6

C. linear function; linear term: −21x; constant term: −6

D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Answers

Answer:

D

Step-by-step explanation:

Got it right on test

Answer: The answer is letter B or letter D

D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Step-by-step explanation:  Find the degree of the function to determine if linear.  f ( x ) =  − 18 x 2 − 21 x − 6  is not a linear function

Expand the polynomial using the FOIL method.  f ( x ) =  − 18 x 2 − 21 x − 6

Covert fractions to percents
3/8=__

Answers

Answer: [tex]\frac{3}{8}[/tex] = 37.5%

Step-by-step explanation:

Convert the fraction into a percentage.

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

Solve for x:

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

3 × 100 = 300300 ÷ 8 = 37.5

x = [tex]\frac{37.5}{100}[/tex] = 37.5%

Answer:

Now we can see that our fraction is 37.5/100, which means that 3/8 as a percentage is 37.5%.

Step-by-step explanation:

The product factor is 4,200.If one of the factor is 60 what is the other factor?Explain

Answers

Answer: The other factor is 70

Explanation: 4,200 divided by 60 is 70.

(PHOTO) Please help me need this done by tomorrow thank you.​

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Answer:

2x+78=5x+15

78-15=5x-2x

3x=63

x=21

Please Help! it's simple!

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Answer:

28.27

circumference of finding a circle divided by two.

[tex](2\pi \:r {}^{2} ) \div 2[/tex]

(2×3.14×9)/2

56.55/2

28.27

The figure below shows the graph of function f with domain [-1,1] and range [0,1].

Answers

The domain are the possible input while the range are the possible output

of a function.

(a) The domain = [-√2, √2], the range = [0, 2](b) The domain = [-1, 1], the range = [0, 1](c) The domain = [-1, 1], the range = [0, -1](d) The domain = [0, 2], the range = [0, 1](e) The domain = [-(2 + √2), (√2 - 2)], the range = [0, 2]

Reasons:

The given functions can be expressed by the equation; (-x + 1)·(x + 1) = -x² + 1

Therefore, we have;

(a) y = f(x) + 1 = -x² + 1 + 1 = -x² + 2

The x-intercept of the above function are, x = √2, and x = -√2

Which gives;

The domain = [-√2, √2]

The range = [0, 2]

(b) y = 3·f(x) = 3 × (-x² + 1) = -3·x² + 3

At the x–intercepts, we have;

-3·x² + 3 = 0

x = ±1

The domain = [-1, 1]

The maximum value of y is given at x = 0, therefore;

= -3 × 0² + 3 = 3

The range = [0, 1]

(c) y = -f(x) = -(-x² + 1) = x² - 1

At the x–intercepts, x² - 1 = 0

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The domain = [-1, 1]

The minimum value of y is given at x = 0, which is y = -1

The range = [0, -1]

(d) y = f(x - 1) = -(x - 1)² + 1 = -x² + 2·x

At the x–intercepts, we have;  -x² + 2·x = 0, which gives;

(-x + 2)·x = 0

Which gives, x = 0, or x = 2

The domain = [0, 2]

The maximum value of y is given when x = -b/(2·a) = -2/(2×(-1)) = 1

y = f(1) =  -1² + 2×1 = 1

Therefore;

The range = [0, 1]

(e) y = f(x + 2) + 1 = (-(x + 2)² + 1) + 1 = -x² - 4·x - 2

At the x–intercepts, we have;  -x² - 4·x - 2 = 0, which gives;

x = -(2 + √2) or x = x = √2 - 2

The domain = [-(2 + √2), (√2 - 2)]

The maximum value of y is given when x = -4/(2)) = -2

Which gives;

-(-2)² - 4·(-2) - 2 = 2

The range = [0, 2]

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https://brainly.com/question/20391090

Translate 9 times the sum of n and 12 to symbols

Answers

(n+12) • 9

to simplify, use the distributive property

9 • 12 = 108
9 • n = 9n
9n • 108

How many pounds are in 1 1/2 pounds and 8 ounces?

Answers

Answer:

2 pounds

Step-by-step explanation:

Because 8 ounces = 0.5 pounds

1.5+0.5=2

Work out the area of a rectangle with base, b = 5.3mm and height, h = 4mm.​

Answers

Answer:

21.2 mm²

Step-by-step explanation:

Area of rectangle = base x height.

A(r) = b x h

Plug in the corresponding numbers to the corresponding variables:

A(r) = 5.3 x 4

A(r) = 21.2

21.2 mm² is your answer.

what is 351.86 in terms of pi?

Answers

Answer:

It can either be 17593pi/9000 rad or if youre looking for a decimal answer is it 1.95pi and rad=6.14

Step-by-step explanation:

Tell whether the pairing is a function.
2.
Input
3
6
9
12
Output
1
2
N
1
Is it a function?

Answers

Answer:

I believe that it is function

Select the statements which could describe the graph of a nonproportional relationship.


Answers

Answer:

what it says iiiiiiii888i888iiiii

1/5 divided by 2/3 input the answer as a fraction

Answers

Answer:

Three tenths/ 3/10

Step-by-step explanation:

1/5 divided by 2/3 is 0.3 which is equal to 3/10

3/10 is the answer to your question

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Answers

Answer:

17

Step-by-step explanation:

A circle has diameter 11 cm
Pythagoras theorem
Please answer will mark BRAINELIST:)

Answers

77 is the answer I think

In a survey of 280 adults over 50, 75% said they were taking vitamin supplements. Find the margin of error for this survey if we want a 99% confidence in our estimate of the percent of adults over 50 who take vitamin supplements. (Round to the nearest thousandths.)

Answers

The margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067

The formula for calculating the margin of error is expressed as:

[tex]e= z \cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

p is the proportion

n is the sample size

Given the following parameters;

p = 75% = 0.75

n = 280

z = 2.576

Substitute into the formula

[tex]e=\sqrt{\frac{0.75(1-0.75)}{280} }\\e=\sqrt{\frac{0.1875}{280} } \\e=\sqrt{0.0006964} \\e=0.0258 \times 2.576\\e \approx 0.067[/tex]

Hence the margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067

Learn more on margin of error here: https://brainly.com/question/10218601

Given the function g(x) = x2 - 4x + 0, determine the average rate of change of
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Answers

Answer:

4

Step-by-step explanation:

ARC = [tex]\frac{g(b) -g(a)}{b-a}[/tex], b = 7, a = 1

24/6 = 4

2x-32=12
means they spent how much

Answers

Answer:

22

Step-by-step explanation:

Given:In quadrilateral WXYZ , and bisect each other at point A.
Prove: Quadrilateral WXYZ is a parallelogram.






Statement

Reason

1. and bisect each other. given
2. WA = YA
XA = ZA

definition of bisection

3. m∠YAZ = m∠XAW

Vertical Angles Theorem

4.

SAS criterion for congruence

5. ∠ YWX ≅ ∠WYZ

Corresponding angles of congruent triangles are congruent.

6. ||

converse of Alternate Interior Angles Theorem

7. m∠XAY = m∠ZAW

Vertical Angles Theorem

8. ∆XAY ≅ ∆ZAW

SAS criterion for congruence

9. ∠XZW ≅ ∠ZXY

Corresponding angles of congruent triangles are congruent.

10. ||

converse of Alternate Interior Angles Theorem

11. Quadrilateral WXYZ is a
parallelogram.

definition of parallelogram

Answers

Answer:

Given:In quadrilateral WXYZ , and bisect each other at point A.

Prove: Quadrilateral WXYZ is a parallelogram.

Statement

Reason

1. and bisect each other. given

2. WA = YA

XA = ZA

definition of bisection

3. m∠YAZ = m∠XAW

Vertical Angles Theorem

4.

SAS criterion for congruence

5. ∠ YWX ≅ ∠WYZ

Corresponding angles of congruent triangles are congruent.

6. ||

converse of Alternate Interior Angles Theorem

7. m∠XAY = m∠ZAW

Vertical Angles Theorem

8. ∆XAY ≅ ∆ZAW

SAS criterion for congruence

9. ∠XZW ≅ ∠ZXY

Corresponding angles of congruent triangles are congruent.

10. ||

converse of Alternate Interior Angles Theorem

11. Quadrilateral WXYZ is a

parallelogram.

definition of parallelogramTriangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.

Which equations and/or functions represent the graphed line? Select three options.
i included the graph and choices in the attachment (;

Answers

Answer:

1,3,4

Step-by-step explanation:

hope this helped

Ben left town a at 22:25 and arrived at Stone b at 2:40 the next morning how long did is Journey take​

Answers

Answer: The journey took 4 hours and 15 minutes.

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