(a) (f + g)(x) =

(b) (f-g)(x)=

(c) (fg)(x)=

(d) (f/g)(x)=

a) 2x

b) 14

c) x^2 -49

d) -1

2x2 + x + 5 = 0 i don’t know how to do this please help

9514 1404 393

**Answer:**

x = -0.25+√2.4375i or -0.25-√2.4375i

**Step-by-step explanation:**

The quadratic formula works for this. The quadratic equation ...

ax² +bx +c = 0

has solutions given by the quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Your equation ...

2x² +x +5 = 0

has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...

[tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]

The decimal equivalents are ...

x = -0.25+√2.4375i or -0.25-√2.4375i . . . . . . the 'i' is outside the radical

Is the square root of 14 +6.2 less than 3 pi - 8.2?

Answer:

No. √14 + 6.2 is more than 3π - 8.2

Step-by-step explanation:

√14 + 6.2

√20.2

≈ 4.494

π ≈ 3.14159

3(3.14159) - 8.2

9.42577 - 8.2

1.22477

Therefore, the answer is no.

A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. Find the rates of change of the radius when r = 70 centimeters and r = 95 centimeters.

**Answer:**

for r= 70 cm

the rate is 0.008cm/s

for r=95cm

the rate= 0.0044cm/s

**Step-by-step explanation:**

**kindly find attached a rough sketch of the circle and a detailed solution of the problem.**

Given data

rate dv/dt=500cm^3

r=70cm

r=95cm

Solve for j if aj+k=v

**Answer:**

j=v-k/a

**Step-by-step explanation:**

It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.

Which of these is the triangle proportionality theorem? First person to answer CORRECTLY gets brainliest

**Answer: A.**

**Step-by-step explanation: Brainliest plz**

if loga81=4, find value of a?

**Answer:**

[tex]\huge\boxed{a=4}[/tex]

**Step-by-step explanation:**

[tex]\log_xy=z\iff x^z=y\\\\\text{for}\ x\neq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_{=81}\\\\a^4=3^4\Rightarrow a=3[/tex]

What is the answer tho

**Answer:**

to?

**Step-by-step explanation:**

uh what’s ur question?

13

In the figure shown below, if line mis parallel to line n, then find the value of x. (This is a 2 part question.)

m

(2x-10)

(65 - x)

Part A

Write the equation to find the value of x. (DO NOT find x, just write the equation.)

(2x - 10) (65 - x)

Part B

What is the value of x?

Y

**Answer:**

**Step-by-step explanation:**

just add up both alternate internal angles as they are both equal

so, the equation is: 2x-10 = 65-x

**Answer:**

The right equation will be 2x - 10 = 65 - x (you were wrong lol)

**Step-by-step explanation:**

We have: 2x - 10 = 65 - x

=> 2x - 10 + x = 65

=> 3x = 65 + 10 = 75

=> x = 75/3 = 25

P/S: After some little chats with the others, this might be wrong :(

A TV show has 26 episodes. Due to the lack of time, you can onlywatch 5 of them. However, in order to get a gist of what the showis about, you do not want to watch any two consecutive episodes.How many selections of 5 episodes are there with no two consecutiveepisodes chosen? Assuming that the order of selection is irrelevant.(Hint:this is a Stars and Bars problem)

**Answer:**

**Step-by-step explanation:**

Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]

[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]

where:

n = 26

k = 5

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]

[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]

Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen

One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?

**Answer:**

1.2in

**Step-by-step explanation:**

Answer:

(1) 1.2 inches

(4.3 x 10^-3)(2 x 10^-2) in standard form

**Answer:**

8.6•10^-5 or 0.000086

HELP ME PLEASE IM ALMOST TO 100

**Answer:**

= 3/4

**Step-by-step explanation:**

Find 2 points on the graph

(2,3) and (6,6)

Using the slope formula

m = (y2-y1)/(x2-x1)

= ( 6-3)/(6-2)

= 3/4

A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour

(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours

(B) Graph F(x) for 0 < x s 15

(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.

**Answer:**

**A) F(x) = 50 + ( x - 10 )*9 **

**B) Graph**

**C) lim ( x ⇒ 10) F(x) = 50 **

**Step-by-step explanation:**

**A) F(x) = 50 + ( x - 10 )*9 since the first 10 hours are included in initial fee**

**B) In Annex**

**C) lim (x ⇒ 10) F(x) = 50 + ( 10 -10)*9**

**lim ( x ⇒ 10) F(x) = 50 + 0**

**lim ( x ⇒ 10) F(x) = 50 **

What is the area of a rectangle with sides measuring 2x+3 and 3x-1 feet

Here is your answer

the answer is 6x^2+7x-3

u would foils the two terms as shown below

u would foils the two terms as shown below

PLEASE ANSWER I WILL GIVE YOU BRAINLIEST!

Name the points which satisfy the conditions. In the second quadrant

9514 1404 393

**Answer:**

C, M

**Step-by-step explanation:**

The second quadrant is the upper left quadrant. There, x-values will be negative and y-values will be positive.

__

Point G is *on the boundary* with the 3rd quadrant, so is probably not considered to be in either of those quadrants.

Answer: C M

Step-by-step explanation:

Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. What is Herman’s final position, relative to ground level?

Answer:

Are there answers

Step-by-step explanation:

**Answer:**

answer

Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. ...

Please Help! :(

Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field. Write and solve an algebraic equation whose solution is the number of players, p, on each team.

Write the Equation and the answer please

**Answer: there is 90 players in total**

**Step-by-step explanation:**

6x 2= 12

78 + 12 = 90

**Answer:**

x=15

**Step-by-step explanation:**

6(x−2)=78 (or 6x−12=78), x=15

On the beach boardwalk there are 20 different places to get food 20% of them are ice cream shops how many ice cream Shoppe’s are in the park

4 ice cream shops

hope this helps!

hope this helps!

**Answer:**

( 4 )

**Step-by-step explanation:**

Hope this helps

also go to g-mail to check out my

Type in Brandon Acevedo

okay

Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work. For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips fro m a large bag and find weights of 1.7,1.9,2.4,1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another larg bag and find weights of 1.8, 1.6,1.9, 1.9, and 1.4 grams. Assume a random sample was drawn. Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution. For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians. For your response to a classmate (two responses required, one in each option), solve your classmate's confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method.

Answer:

**Responds to my friend**

**Decision rule **

Fail to reject the null hypothesis

**Conclusion **

There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian

Step-by-step explanation:

Here we are going to consider this question

** For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians.**

** **Here we are going to be solving the hypothesis test problem and we will be making use of the p-value method

From the question the we are told that

The first sample size is [tex]n_1 = 380[/tex]

The second sample size is [tex]n_2 = 205[/tex]

The number of California residents that are vegetarian is [tex]k = 109[/tex]

The number of New Hampshire resident that are veterinarian is [tex]u = 39[/tex]

Generally the sample proportion for California residents is

[tex]\^ p_1 = \frac{k}{n_1}[/tex]

=> [tex]\^ p_1 =\frac{109}{380}[/tex]

=> [tex]\^ p_1 = 0.2868 [/tex]

Generally the sample proportion for New Hampshire residents is

[tex]\^ p_2 = \frac{39}{205}[/tex]

=> [tex]\^ p_2 = 0.1902 [/tex]

The null hypothesis is [tex]H_o : p_1 -p_2 = 0[/tex]

The alternative hypothesis is [tex]H_a : p_1 -p_2 > 0[/tex]

Generally the test statistics is mathematically represented as

[tex]t = \frac{(\^ p_1 - \^ p_2 ) -0}{\sqrt{ \frac{\^ p_1 (1-\^p_1 )}{n_1} + \frac{\^ p_2 (1- \^p_2)}{n_2} } }[/tex]

=> [tex]t = \frac{( 0.2868 - 0.1902) -0}{\sqrt{ \frac{0.2868 (1-0.2868 )}{380} + \frac{0.1902(1- 0.1902)}{205} } }[/tex]

=> [tex]t = 0.036[/tex]

Generally the degree of freedom is mathematically represented as

[tex]df = n_1 + n_2 -2[/tex]

=> [tex]df = 380 + 205 -2[/tex]

=> [tex]df = 583/tex]

Generally the probability of [tex]t = 0.036[/tex] at a degree of freedom of [tex]df = 583/tex] from the t- distribution table is

[tex]p-value = P(t > 0.036) = 0.48564732[/tex]

Let take the level of significance to be [tex]\alpha = 0.05[/tex]

So from the values obtained we see that [tex]p-value > \alpha[/tex] hence the decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian

What is 4/9 - 1/3 =

help

1/9

Hope this helps! :))

Hope this helps! :))

**Answer:djjdd**

Please I love free points secy

**Step-by-step explanation:**

Ok but guys is 10009

a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s

**Answer:**

**23.7m**

**Step-by-step explanation:**

Given parameters:

Time taken = 2.2s

Acceleration due to gravity = 10m/s

**Unknown: **

Depth of the well = ?

**Solution: **

To solve this problem, we simply apply one of the motion equations;

S = ut + [tex]\frac{1}{2}[/tex] gt²

where S = depth of the well

u = initial velocity

t = time taken

g = acceleration due to gravity

Input the parameters and solve for S;

Note initial velocity = 0;

S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²

** S = 23.7m**

When is it appropriate to model data with a liner function? Give an example of real world data that can be modeled with a linear function. Include the linear function and a sample of the data

**Answer:**

The linear function would be:

C = 10t + 2

where C is the cost and t is time in months

**Step-by-step explanation:**

Is f^-1(x) = x/9 - 5/9 a function?

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:

⠀[tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex].

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find out:

⠀Is a function [tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex] or not.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, ZoFlo2020!

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Answer (Response Explanation):

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀No, it is not. Such an example is not even possible to solve, to be honest. It doesn’t have a single solution to find at least an approximate part of its solution and answer.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!

move point (-5,0) to (-4.0) and move point (7,1) to (8,1) so that the points pass the vertical line test. note that this points can be moved to others places too, these are just a few examples

Please find the area and circumference of

the circle below

**Answer:**

area: 153.86

Circumference: 43.96 :D

**Step-by-step explanation:**

Brandon enters bike race. He bikes 9 1/2 miles every 1/2 hour

Since there is no table given I will assume that what you want me to do is to show that Unit rate of Brandon’s biking. SO here are the data that we need: => 8 and ½ miles = 8.5 miles => ½ hour = .5 hours or 30 minutes Now, let’s solve for the unit rate => SO in every 30 minutes he bikes around 8.5 miles => Since 1 hour is equals to 30 minutes, simply multiply 8.5 by 2 => 8.5 * 2 = 17miles => 17 miles / hour

Hope this helps:)

Hope this helps:)

Please help it would help me alot!!!

**Answer: Total cost for 1 ride = $11. Total cost for 2 rides = $14. Total cost for 3 rides = $17. Total cost for 4 rides = $20. Total cost for 5 rides = $23 **

**Step-by-step explanation:**

The weekly demand function for x units of a product sold by only one firm is

p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.

(a) Find the quantity that will maximize profit.

(b) Find the selling price at this optimal quantity.

(c) What is the maximum profit?

**Answer:**

**a**) **x = 798 is the quantity that maximizes the profit**

**b)po(x) = 401 $/unit**

**c)P(max ) = 636105 $**

**Step-by-step explanation:**

**The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:**

**R(x) = p(x) * x**

**R(x) = ( 800 - 0,5*x ) * x**

**R(x) = 800*x - 0,5*x²**

**The equation for the profit is:**

**P(x) = R(x) - C(x)**

**P(x) = 800*x - 0,5*x² - ( 300 + 2*x)**

**P(x) = 798*x - 0,5*x² - 300**

**a) P(x) = 798*x - 0,5*x² - 300**

**Taking derivatives on both sides of the equation:**

**P´(x) = 798 - x **

**If P´(x) = 0 then 798 - x = 0**

**x = 798 is the quantity that maximizes the profit**

**b) Selling price for the optimal quantity is:**

**p(x) = 800 - 0,5*x**

**p(x) = 800 - 0,5* 798**

**po (x) = 800 - 399**

**po(x) = 401 $/unit**

**c) Pmax = ?**

**P(x) = 798*x - 0,5*x² - 300 by subtitution of x = 798**

**P(max) = 636804 - 399 - 300**

**P(max ) = 636105 $**

a) The **quantity that will maximize profit is **[tex]100 \ units[/tex]**.**

b) The **selling of at this optimal quantity is **[tex]\[/tex][tex]750[/tex]** per unit.**

c) So, **the maximum profit is **[tex]\[/tex][tex]25000[/tex]**.**

A demand function is a** mathematical equation** that **expresses** the **demand for a product or service** as a **function of its price** and other factors such as the **prices of the substitutes** and **complementary goods, income, etc.**

The given demand function,

[tex]P=800-\frac{1}{2}x[/tex]

So, the revenue function is,

[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]

[tex]\Rightarrow[/tex]Average cost is

[tex]\bar{C}=300+2x[/tex]

So, the total cost function is,

[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]

a) Profit function:

[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]

For maximum,

[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]

b) Selling Price:

[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]

c) Maximum Profit:

[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]

Learn more about of **Demand Function**: https://brainly.com/question/25938253

PLZ HELP !!

Max deposited $1,300 into an account that pays 4.5% interest, compounded daily. At end of six years he has a balance of ?

**Answer:**

The final balance is $1,692.94.

The total compound interest is $392.94.

**Step-by-step explanation:**

1,300 x 0.045=___ x 6

How can you use a number line to find the sum of -8 and 9?

**Answer:**

The answer is 1

**Step-by-step explanation:**

If you look at the number line and start counting from -8 and count 9 to the right then the number that you end on is the answer.

Name the subset(s) of real numbers to which the number belongs.1.57 A. integer only B. rational only C. irrational and rational D. rational and integer
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