Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).

Answers

Answer 1

Answer:

f(2)+g(3) = 5

Step-by-step explanation:

Given that,

f(x) = x² + 2

g(x) = 2-x

We need to find the value of f(2)+g(3).

f(2) = 2² + 2 = 6

g(3) = 2 – 3 = -1

So,

f(2)+g(3) = 6+(-1)

= 5

Hence, the value of the given expression is 5.


Related Questions

Please help me I really need this

Answers

Answer:

y-intercept = 2 so it’s the first answer option

Step-by-step explanation: How to find the slope. Slope is rise/run so choose one point on the graph, and figure out how many squares it goes up and how many over, that’s your slope. Then, to find the y-intercept, find the point where it intersects on the y-axis, in this case it looks like 2.

Rosc has $500 in her savings account. She carnis simple interest at 5%
Calculate the interest she carnis after two year.
<
A
B. ss0
CLS250
D. $500
O
A
OB​

Answers

Answer:

50

Step-by-step explanation:

I assume you are asking how much she EARNS after 2 years.

500x.-5=25 interest per year

25 x 2 years = 50 interest for 2 years.

Which equation best describes the situation below?
5 less than a number is 15.

Answers

Let the number is X

So the equation will be X-5 = 15

If you don't do a foreign language class in middle school, in high school will one be given to you? Is it a necessity?

Answers

Well, it depend on where you are. Where do you attend school? In the US, the most you could do is learn at least one language if it’s mandatory. It will denfinity be given to you but I think some schools was make it an requirement and others may not.

What is the length of the hypotenuse?

Answers

Answer:

h=15feet.

Step-by-step explanation:

using Pythagoras theorem

h²=p²+b²

h²=12²+9²h²=144+81h=√225h=15feet.

hope it helps.

stay safe healthy and happy.

[tex]\huge\bold{To\:find:}[/tex]

The length of the hypotenuse.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢  ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢  \sqrt{225 \: {ft}^{2} } = c \\ ⇢  \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

3x −3 y −4 ⋅ 3x 3 y 3

Answers

the answer to this question is
-
1
2

3

3
+
3


3

need help gotta turn in in 20 minutes!!!1

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

From the figure we can see that, [tex]\large\bold{3x°}[/tex] & [tex]\large\bold{x + 30°}[/tex] are vertically opposite angles.

Vertically opposite angles are equal to each other.

____________________

So, equation [tex]\large\bold{3x° = x + 30°}[/tex]

____________________

Value of x will be :-

[tex]3x° = x + 30° \\ 3x - x = 30 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Find the volume of a sphere that has a radius of 6 in

Answers

Answer:

volume = 904.78 cubic inch

Step-by-step explanation:

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6 \times 6 \times 6 = 904.78in^3[/tex]

Answer:

904,32 in³

Step-by-step explanation:

The formula for finding the volume of a sphere with given radius is:

[tex]V = \frac{4}{3}\pi r^3[/tex]

You simply substitute r³ with 6³:

[tex]V=\frac{4}{3} \pi 6^3[/tex]

Now you multiply 4/3 * 3,14 (pi) * 216 = 904,32 in³

complete:
a 20% x ____ = $30

Answers

Answer:

20/100*x=$30

20x/100=$30

x/5=$30

x=$30*5

x=$150

Step-by-step explanation:

20 percent of 150 equals 30 so 150 times 20 percent would give you 30

Write a short para based on how the pandemic has affected travelling.

Answers

Answer:

Unlike many of history’s great tragedies, the coronavirus pandemic never stunned us with one catastrophic event. Instead, the deadly problem quietly snaked its way around the world, devastating millions as it grew into a global health crisis since it first surfaced in November.

Our realities shifted slowly at first, and before we knew it, the coronavirus took over completely.

As we closed borders, canceled events and self-quarantined at home on a mass scale, the travel industry, as well as most other sectors, began to nosedive. The collective effort to save lives meant economic catastrophe for an industry that profits from people leaving their houses.

The wound inflicted by the pandemic on the travel industry is deep, and it hasn’t stopped bleeding yet.

In a May 20 call with analysts, Royal Caribbean Cruises chief executive Richard Fain recalled how drastically travel changed after the 9/11 terrorist attacks — and how the “new normal” eventually just became normal. He expects to see a similar phenomenon in the post-coronavirus world.

sorry it didnt let me send it so i took a lictire of it stay safe out there in the world wherever you are to let you know god is with you all the time if your in fear pray to him and he will take the fear away from you. anyways, stay safe and love you all!❤

PLEASE ANSWER URGENT

Answers

Answer:

D

Step-by-step explanation:

Which number is equivalent to 2^3x = 10

Answers

Answer:

5/4

Step-by-step explanation:

see steps below:)

Keith played the first 22 minutes of soccer game lohan then replaced him for the rest of half logan started the second half and was replaced by wilson with 18 minutes left in the game if each half is 40 minutes ling how long did logan play during the second half

Answers

Answer:

Logan played for 22 minutes during the second half.

Step-by-step explanation:

Since Keith played the first 22 minutes of a soccer game and Logan then replaced him for the rest of the half, and Logan started the second half and was replaced by Wilson with 18 minutes left in the game, if each half is 40 minutes long To determine how long did Logan play during the second half, the following calculation must be performed:

Second Half Total - Time Played by Wilson = Time Played by Logan

40 - 18 = X

22 = X

Therefore, Logan played for 22 minutes during the second half.

Which is a true statement based on the dot plots below?
10 20 30 40 50 60
10 20 30 40 50 60
Set A

Answers

Set a is less symmetric than set b

the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME

Answers

[tex]25,28,32,37,43,50,58,67.[/tex]

[tex]\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

HELP ASAP

A pair of equations is shown below:

y = 2x + 9
y = 4x − 3

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show the first step you would use. (4 points) Write the solution. (2 points)

Part B: If the two equations are graphed, at what point will the lines representing the two equations intrsect? Explain your answer. (4 points)

Your answer:

Answers

Answer:

(6,21)

Step-by-step explanation:

Given that,

y = 2x + 9 .....(1)

y = 4x − 3 .....(2)

From equations (1) and (2),

2x + 9 = 4x − 3

Taking variables both sides and constants to another side.

9+3 = 4x-2x

12 = 2x

x = 6

Put the value of x in equation (1).

y = 2(6) + 9

y = 12 + 9

y = 21

The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).

I NEED ANSWERS AND WORK ON THIS ASAP PLEASE!!!!!

Answers

Answers:
3.) =2±1 4.) v=2 v=6

1. Factory in Wichita
The cost per unit for Wichita’s factory is graphed as a piecewise function over the domain [0, 35000]. a. Write one or two sentences to describe the cost function for the Wichita factory. (5 points) b. Write the piecewise function for the cost per unit for production of units in the Wichita factory. That is, state the function (), where is the number of units produced. (10 points) c. What is the cost per unit for 35,000 units? (5 points) d. According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem? (5 points) e. Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory. (10 points) ___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___Overtime wages were required to produce at levels above 25,000 units.
2. Factory in Seattle Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and materials, so its cost structure has been affected in several ways. The Seattle plant uses a mix of solar power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, ()is the cost function, where is the number of units produced. The plant’s maximum capacity is 42,000 units
per day.
() = { 0.35 ≤ 8,000
0.75 8,000 < ≤ 20,000
0.83 − ( 200,000) 20,000 < ≤ 42,000
a. Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the axes and any endpoints where the graph breaks. (5 points)
b. Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part. (5 points)
3. Factory in Omaha Omaha’s factory has yet another type of cost structure. Its cost function is provided graphically. Its maximum capacity is 38,000 units per day.
a. At what rate is the cost per unit decreasing for production levels above 12,000?(5 points) b. State the function for the domain over [12000, 38000]. (10 points)
c. What is the cost per unit at the production level of 19,000? (5 points)
Omaha’s city council approved a special growth incentive that decreases the company’s tax burden for production levels above last year’s average. Explain how this is reflected by the Cost Function for Omaha’s factory. 4. Analysis and Making Production Decisions You have now provided your company’s management with powerful tools that model the cost of

Answers

Answer:

According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem?

The per-unit cost will be as follows,

a) Wichita factory has cost function as more up to 25000 units and less for above 25000 units.

b) Piece wise function for cost per units for production of units can be written as

C(x) = cost per unit, will be as follows,

C(x)=1÷x,0 [tex]\leq[/tex] x [tex]\leq[/tex] 25000,

=0.8÷x, 25000 [tex]\leq[/tex] x [tex]\leq[/tex] 35000,

C) cost per unit for 35000 unit

=C(35000)= 0.8÷35000

= 2.28(10⁻⁵)

What is the cost per unit?

Cost per unit  is referred to the cost of goods sold or the cost of sales, is how much money a company spends on producing one unit of the product they sell.

Thus, the cost per unit will be 2.28(10⁻⁵).

Learn more about cost per unit here,

https://brainly.com/question/13333695

#SPJ2

Find the equation of the circle whose center and radius are given.

center ( 7, -3), radius = 7

Answers

Answer:

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer;

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

given the figure below find the value of x and z

Answers

Answer: X is do it yourself and y is do it yourself X is do it yourself and y is do it yourself

Step-by-step explanation:

Lolol

When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?

Answers

Answer:

1/3n-3÷6

Step-by-step explanation:

3 is subtraced form 1/3

Answer:

n < 27

Step-by-step explanation:

1/3n - 3

1/3n - 3 < 6

Add 3 to each side.

1/3n - 3 + 3 < 6 + 3

Combine like terms.

1/3n < 9

Divide each side by 1/3.

1/3n ÷ 1/3 < 9 ÷ 1/3

Combine like terms.

n < 27

HELLLLPPPPPPP PLEASEEEEEE BEGGGGI G SOMEONE PLEASEEEEEEEEE

Answers

Answer:113

Step-by-step explanation:

what is the answer? please helppp

Answers

Answer:

1/4

Step-by-step explanation:

Probability is: (ways to get a desired result) / (total possible outcomes)

Choosing a yellow ball would be a desired result.

So, using the numbers that the question gives us,

(3 ways to get a yellow ball) / (12 golf balls total) =

3 / 12 =

1 /4

The answer is 1/4 chance.

Answer:

3/12 0r 1/4 <--- Simplified

Step-by-step explanation:

so there are 3 yellow which are in 12 gold balls so

it would be 3/12 or simplified 1/4

Find x.
[tex] \frac{x}{x + 7} = \frac{16}{22} [/tex]
The equals is for proportionate I couldn't find the symbol for it.​

Answers

According to the property of proportions,

Product of means = Product of extremes

x and 22 are extremes. (x + 7) and 16 are means.

So, simply we did cross multiplication.

Step-by-step explanation:

56/3 is the answer. Refer to the attachment for the solution. :)

A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table.
Have a cat
Do not have a cat
Have a dog
Do not have a dog
Have a dog
Have a cat
5
7
6
0

Answers

Answer:

                          Have a cat         Do not have cat

Have a dog                 7                            5

Do not have a dog      6                            0

Step-by-step explanation:

                                           Have a cat   Do not have a cat

Have a dog                              7                 5

Do not have a dog                     6               0

How to fill the two-way frequency table?

The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.

To learn more about sets, please check: https://brainly.com/question/13192210

WHich of the following has the steepest slope?
a. y = -4x + 1
b. y = 2x + 3
c. y = x+6
d. y = -3x - 4

Answers

Answer: Choice A)  

y = -4x+1

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

Explanation:

The general format of a linear equation can be written as y = mx+b

m = slope

b = y intercept

The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.

Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.

IMPORTANT! SOMEONE PLEASE LOOK AT MY UNANSWERED QUESTIONS FROM THE PAST HOUR!!! I REALLY NEED HELP!!!

Answers

Answer:

Step-by-step explanation:

kk

A Stats test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get exactly 2 questions correct

Answers

Answer:

0.0512

Step-by-step explanation:

Probability of making a correct guess ; p = 1 / 5 = 0.2

q = 1 - p = 1 - 0.2 = 0.8

Number of questions, n = 5

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 3) = 5C3 * 0.2^3 * 0.8^2

P(x = 3) = 0.0512

Where do the negatives go on a fraction? Are they allowed to go on the numerator? And what does it mean when this happens?

5
- ——-
2

Answers

The negative symbol applies to the result of the fraction division. It is equivalent to the multiplication of the fraction by -1. If you want, you can consider the negative in either the numerator or the denominator but not in both.

PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH

Answers

Answer:

Look below

Step-by-step explanation:

Ok Just Plug it in

For the chart

1:8

2:9

3:10

4:11

And then graph on desmos

You should the answer

Sorry if I am wrong.

Answer:

second graph

Step-by-step explanation:

When x=1,

y=1+7=8

When x=2,

y=2+7=9

When x=3,

y=3+7=10

When x=4,

y=4+7=11

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Graph the system of linear inequalities Rodger and Brandon set up a business to design and sell t-shirts. They sold 120 t-shirts for $1302. Their expenses were $1344. How much was the profit or loss per t-shirt?Please help this is due in an hour or so and I really need help The following question has two parts. First, answer Part A. Then, answer Part B.Part A:Which sentence BEST explains why Emma befriends Harriet?A Harriet lacks refinement, and Emma wants a project.B Harriet does not have many friends, and Emma is very sociable.C Harriet wants to become a member of high society, and Emma can help her.D Harriet wants to be married, and Emma knows the eligible bachelors.Part B:Which excerpt from the text BEST supports your answer to Part A?A Harriet Smith was the natural daughter of somebody. Somebody had placed her, several years back, at Mrs. Goddard's school, and somebody had lately raised her from the condition of scholar to that of parlour-boarder.B . . . but they must be coarse and unpolished, and very unfit to be the intimates of a girl who wanted only a little more knowledge and elegance to be quite perfect.C . . . Emma lost no time in inviting, encouraging, and telling her to come very often; and as their acquaintance increased, so did their satisfaction in each other.D Emma encouraged her talkativeness, amused by such a picture of another set of beings, and enjoying the youthful simplicity which could speak with so much exultation of Mrs. Martin's having "two parlours, two very good parlours, indeed . . . and of their having eight cows. . . ." Which of the 85 essays of The Federalist Papers is the most famous? Listed in the Item Bank are some important labels for sections of the image below. 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You want to triple the mixture. Which of these describes the ratio of teaspoons of sugar to salt you will use?A5:6B9:12C3:8D3:2 question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you! A storyteller tells a series of stories to a ruler to distracthim each night and therefore prevent her own death at hishands.Which term best describes the story?A. Frame narrativeB. ParodyC. ParableD. Allegory A square garden has an area of 400 square feet. Each side of the garden is (x-10) feet in length. Write an equation that represents the AREA of the gardenFind the value of x using the square root methodWhat is the length of the side of the garden?