Gven: f(x) = 4x +1 and (x)= x^2 + 1.

find (fog)(x)​

Answer:

12% increase compared to last years

Step-by-step explanation:

This is quite an interesting problem. I am not sure how high you are in math, but I am going to use calculus I techniques to solve it. First, we need to model an equation. Let P be the total profit and x be every time you increase the cost by $10. If you think about it hard enough you come up with the equation

[tex]P(x)=(200-5x)(250+10x)[/tex]

(200-5x) is the amount of plots you will be able to sell, and (250+10x) is the amount you charge for. So, at x =0

[tex]P(0)=(200-5(0))(250+10(0))=(200)(250)=$50,000[/tex]

This is the initial condition where if we sell 200 plots at $250/plot.

So, this equation makes sense.

Now, let's maximize using the first derivative of the function.

Let's get it into an easily differentiable form.

[tex]P(x)=(200-5x)(250+10x)=-50x^2+2000x-1250x+50000\\=-50x^2+750x+50000[/tex]

From here, differentiate the problem.

[tex]P'(x)=-100x+750[/tex]

Now, set it equal to zero and solve for x.

[tex]P'(x)=-100x+750=0\\x=7.5[/tex]

This a critical point of the function. Let's plug back into the original equation to see what it gives us.

[tex]P(7.5)=(200-5(7.5))(250+10(7.5))=(162.5)(325)=52,812.50[/tex]

You cant sell half a plot, so we need to see what happens if we sell 162 plots and 163 plots, and then compare which one gives us more money.

In order to sell 162 plots

[tex]200-5x=162\\x=7.6[/tex]Plug back into P(x) to see the profit

[tex]P(7.6)=(200-5(7.6))(250+10(7.6))=(162)(326)=52,812[/tex]

Now, do the same for 163 plots

[tex]200-5x=163\\x=7.4\\P(7.4)=(200-5(7.4))(250+10(7.4))=(163)(324)=52,812[/tex]

As we can see, they are the same. So, you can charge either $324 or $326 in rent. But, if your teacher is not looking for a logical answer and you can somehow sell half a plot, you can charge $325 in rent for the maximum profit.

Step-by-step explanation:

The text below that are formatted in bold and underlined font are the solutions to the missing boxes in your given problem.  

Given that ∠1, ∠2, ∠3, and ∠4 are formed by two intersecting segments, and that:

∠1 and  ∠2 form a linear pair  

∠2 and ∠3 form a linear pair  

These linear pair relationships suggest that by the Linear Pair Postulate:

∠1 and ∠2 are supplementary.    ⇒  Linear Pair Postulate

∠2 and ∠3 are supplementary.    ⇒  Linear Pair Postulate

m∠2 + m∠ 3 = 180°  ⇒  Definition of supplementary angles.

m∠1 + m∠3  = m∠2 + m∠ 3  ⇒  Substitution Property of Equality.          

m∠1  =  m∠3   ⇒  Subtraction Property of Equality.  

Answer:

-369

Step-by-step explanation:

Replace r with 10.

9(-3(10)-10))

9(-30-11)

9*-30+9*-11

-270+ -99

-369

Hope this helped. :)

Answer:

d because your taking away 6 from the 275

Step-by-step explanation:

Answer:

13:7

Step-by-step explanation:

This ratio would be 13 laptop computers for every 7 desktop computers; 13:7

Answer:

a) single replacement

b)decomposition

Step-by-step explanation:

a) im not so sure but pretty sure its tight

b) decomposition requires energy so therefore can only be this

Answer:

Step-by-step explanation:

Use the half angle formulas

sin(θ/2) = ±√((1 - cosθ)/2)

sin(θ/2) = ±√((1 - (3/5))/2)

sin(θ/2) = ±√((2/5)/2)

sin(θ/2) = ±√(1/5)

knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.

sin(θ/2) = +√(1/5) = √0.2

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

The slope is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -(-7))/(4 -(-5)) = 6/9 = 2/3

The slope of the line is 2/3.

_____

The attached graph shows the equation of the line in point-slope form.

Step-by-step explanation:

mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected,

what is the probability that the mean weight will be between 17.6 and 23.6

Ib? Write your answer as a decimal rounded to 4 places

Answer:

A) 1/12

Step-by-step explanation:

for every 1 that x increase f(x) increases 12

Answer:

1

Step-by-step explanation:

This can be simplified to 2x-y = 2

Solving for y leads to y = 2x-2

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

Explanation:

Anything perpendicular to Ax+By = C is of the form Bx-Ay = D

The given equation 2x+4y = 14 tells us that A = 2, B = 4, C = 14.

So Bx-Ay = D updates to 4x-2y = D.

We'll plug in the coordinates of the given point (x,y) = (4,6) to solve for D.

4x-2y = D

D = 4x-2y

D = 4(4)-2(6)

D = 16-12

D = 4

So 4x-2y = D updates to 4x-2y = 4

Optionally, we can divide each term by 2 to go from 4x-2y = 4 to 2x-y = 2

If we wanted to solve for y, then we'd get y = 2x-2

Answer:

800 i think

Step-by-step explanation:

Answer:

edficycle cycle shop luisa sella otuff

Answer:

[tex]\displaystyle f < \frac{-45}{7}[/tex]

General Formulas and Concepts:

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle -42 > 7f + 3[/tex]

Step 2: Solve for f

Topic: Algebra I

Unit: One-Variable Equations

26:100

..............................

26 percent in simplest form is the fraction 13/50. Since 'percent' means 'per hundred,' 26 percent would be equivalent to the fraction 26/100.

Answer:

To find the mean you need to add all the given numbers and then divide that by how many numbers you added. In this case, the process would look like this.

1. add all numbers

46+37+34+31+29+24 = 201

2. divide the sum (201) by the amount of numbers you added (6)

201/6 = 33.5

3. and you're done! the mean (which is basically the average) of the given numbers is 33.5

Answer:

11/9 OR 1 and 2/9

Step-by-step explanation:

5/9 + 4/6

get like deonimators by mutiplying top and bottom by same thing --- afterall mutiplying by 2/2, 3/3, 4/4.. etc is mutiplying by 1... not changing anything!

So:

(2/2)*(5/9) + (3/3)(4/6) =  10/18 + 12/18 = 22/18

Which can be simplified :)

11/9 ORRR 1 and 2/9

Step-by-step explanation:

rules? I like get brainlist pleaseee :00 it's totally A

Answer:

no its not a proportion

Step-by-step explanation:

because the line has to be straight unless the graph is scrap

Answer:

"Yes, it is a proportional relationship because the graph is a straight line"

Step-by-step explanation:

Your welcome ^^

Answer:

A: Walking

Step-by-step explanation:

-It cannot be biking because the constant of proportionality (COP) is 9.5 miles (per hour).

-It cannot be running because the COP is 5 miles (per hour).

-It cannot be swimming because the COP is 4.5 miles (per hour).

he is walking

14 divided by 4 is equivalent to 3.5 the equation being 14/4=3.5 or 3 1/2

Using the independence between an individual's party affiliation and his support of full-body  scans, it is found that:

a) 57 Republicans would be expected to not support the use of full-body scans.

b) 305 Democrats would be expected to support the use of full-body scans.

c) 18 Independents would be expected to not know or not answer.

The independence between an individual's party affiliation and his support of full-body  scans means that no matter the political party, the proportions for each option would be the same.

In the sample, there are 318 + 369 + 450 = 1137 people.

Item a:

[tex]\frac{170}{3} = 56.67[/tex]

Rounding, 57 Republicans would be expected to not support the use of full-body scans.

Item b:

264 + 299 + 351 = 914 people support the use of full-body scans, hence:

[tex]\frac{914}{3} = 304.67[/tex]

Rounding, 305 Democrats would be expected to support the use of full-body scans.

Item c:

16 + 15 + 22 = 53 people do not know or do not answer, hence:

[tex]\frac{53}{3} = 17.67[/tex]

Rounding, 18 Independents would be expected to not know or not answer.

A similar problem is given at https://brainly.com/question/24372153

Answer: The answer is 8/9

Step-by-step explanation:

Answer:

53/9 or 5 and 8/9

Step-by-step explanation:

5 1/3 + 5/9

we can convert 5 1/3 to a fraction by multiplying 5 times the denominator and adding 1 (the numerator) to it. we get

16/3

we now need to get common denominators. the least common denominators is 9, so we multiply 16/3 by 3/3 and we get:

48/9

now we can add the two:

48/9 + 5/9 = 53/9 or 5 and 8/9

Answer:

You: 3, 6, 9, 12

Friend:4, 8, 12, 16

Step-by-step explanation:

You/Friend ratio is 3/4

Missing numbers:

Numbers:

You      3, 6, 9, 12

Friend  4, 8, 12, 16

Answer:

3x8m= 14 is the equation that matches the description.

Step-by-step explanation:

It is simply the number three, multiplied by eight with the variable m, and is equal to the number 14.

Answer:

The slope is 2/3

Step-by-step explanation:

hope this answer helps!!!

Answer:

1.0833 yd

Step-by-step explanation:

Inches    Yards

37"         1.0278 yd

38"         1.0556 yd

39"         1.0833 yd

40"         1.1111 yd

Have a great day! :D

Answer:

D

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