If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?

Answers

Answer 1

Answer:

[tex](f-g)(2)=14[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x^2+1\text{ and } g(x)=1-x[/tex]

And we want to find the value of:

[tex](f-g)(2)[/tex]

This is equivalent to:

[tex](f-g)(2)=f(2)-g(2)[/tex]

Substitute:

[tex]=(3(2)^2+1)-(1-(2))[/tex]

Evaluate:

[tex]=(3(4)+1)-(1-2)=(12+1)-(-1)=13+1=14[/tex]

Therefore:

[tex](f-g)(2)=14[/tex]


Related Questions

please answer this. i’m so confused

Answers

Answer:

1

Step-by-step explanation:

All sides have to be congruent making option 1 correct

~ LadyBrain

ASAP FAST 4. 100 POINTS There are two dog runs at the pet store. The first one is feet long and the second one is feet long. The owner of the store wants to increase the length of the first one by feet. She wants to increase the length of the second one by feet. (a) After the lengths of the dog runs are increased, what is the length of the longer dog run? Explain how you found your answer.]

Answers

Answer:

Seems to be some missing numbers in the question

Step-by-step explanation:

There are two dog runs at the pet store. The first one is ??? feet long and the second one is ??? feet long. The owner of the store wants to increase the length of the first one by ??? feet. She wants to increase the length of the second one by ??? feet. (a) After the lengths of the dog runs are increased, what is the length of the longer dog run? Explain how you found your answer.

Find the equation of the line below.
10
(4,8)
х
t(1,2)
- 10
10
- 10
O A. y = 2x
O B. y = 1x
O C. y = x
O D. ya

Answers

Answer:

y=2x

Step-by-step explanation:

The line passes through the origin, so the y-intercept = 0

the slope m can be found with

m = (y2-y1)/(x2-x1) = (8-2)/(2-1) = 2

Therefore the equation of the line is

y = 2x + 0 = 2x

Answer:

A) y = 2x

Step-by-step explanation:

We are given the points (4,8) and (1,2).

[tex]\frac{2-8}{1-4}=\frac{-6}{-3}=\frac{6}{3}=\boxed{2}[/tex]

The line passes through the origin.

Option A should be correct.

Hope this helps.

Three relatives will share an inheritance of 196,800 in the ratio of 3 to 7 to 2. How many dollars of the inheritance will each of the relatives receive?

Answers

Answer:

49200

114800

32800

Step-by-step explanation:

196800/12=ans

ans * 3

ans * 7

ans * 2

What is the y-intercept of the graph of y = 2.5'?
a. 2.5
b. 1
0
d. -1
ME
Please select the best answer from the choices provided
ОА
ОВ

Answers

The answer to the question is 2.5


Which expression is equivalent to
^3 sqrt 1/1000 c^9 d^12

Answers

Answer:

[tex] \sqrt[3]{ \frac{1}{1000} {c}^{9} {d}^{12} } \\ = \frac{1}{10} {c}^{3} {d}^{4} [/tex]

In a certain region, there is a 0.1 probability that any checked passerine bird's nest will
contain a cuckoo egg. If three passerine nests are checked, what is the probability that
at least two of them contain a cuckoo egg?

Answers

Answer:

Probability of at least two cuckoo eggs is 0.738.

Step-by-step explanation:

probability of cuckoo egg = 0.1

probability of not a cuckoo egg = 1 - 0.1 = 0.9

Probability of at least two cuckoo eggs is

= Probability of two cuckoo eggs x probability of 1 not cuckoo egg +

probability of three cuckoo eggs

= 0.1 x 0.1 x 0.9 + 0.9 x 0.9 x 0.9

= 0.009 + 0.729

= 0.738  

A camera rental company charged a fixed amount plus a fee based on the number of days for which the camera is rented. The graph below shows the amount paid for a different number of days to rent the camera:

Answers

Answer:

$40

Step-by-step explanation:

It's the value on the y-axis. (0 days)

(Will mark brainlest ) help me to find the value of x or theta (step by step)​

Answers

Answer:

X = 6

Step-by-step explanation:

sin○ = opposite side/hypotenuse

sin 45 = 3 root2/x

1/root2 = 3 root2/x

x = 3 × 2

x = 6

Answer:

x=6 cm

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 =opposite/hypotenuse

[tex]\frac{1}{\sqrt{2} } =\frac{3\sqrt{2} }{x}[/tex]

do cross multiplication

[tex]x=\sqrt{2} * 3\sqrt{2}[/tex]

x=6

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

Answers

Answer:

2) y=-3x+36

Step-by-step explanation:

Hi there!

We're given a graph and we want to find the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We'll need two points, so pick any two from the graph

For example, let's do (0,36) and (12,0)

first let's find the slope

The formula for the slope calculated from two points is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points

we'll be using (0,36) and (12,0)

let's label the points to avoid any confusion

x1=0

y1=36

x2=12

y2=0

Now substitute into the formula:

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

m=(0-36)/(12-0)

m=-36/12

m=-3

so the slope is -3

here's the equation so far:

y=-3x+b

we need to find b

The equation of the line will pass through both (0,36) and (12,0) so we can use either one of them to solve for b

let's take (12,0) for example

substitute 12 as x and 0 as y

0=-3(12)+b

multiply

0=-36+b

add 36 to both sides to isolate b

36=b

now substitute 36 as b into the equation

y=-3x+36

There's the equation of the line, so the answer is option 2

Hope this helps!

7. Solve for b.
b
26°

Answers

Answer:

64°

Step-by-step explanation:

We know that a right angle is 90°

so we do 90° - 26° = 64°

64
Answer: the answer is 64

The vertices of a triangle are as follows: (4,) (6,7) and (8,0) If you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle
1. (12,12) (6,7) (24,3)
2. (4,12) (6,21) (8,0)
3. (12,4) (18,7) (24,0)
4. (12,12) (18,21) (24,0)

Answers

Answer:

(12, 12), (18, 21), (24, 0)

Step-by-step explanation:

To dilate a figure, you multiple each of the numbers in its coordinates by the scale factor.

The vertices of the new triangle is:

4. (12,12) (18,21) (24,0)

What are the vertices of the new triangle?

We have:

The vertices of a triangle: (4, 4) (6,7) and (8,0)

We dilate the triangle by a scale factor of 3

To find the vertices of the new triangle after a dilation of 3, multiply the old vertices by 3. That is:

3 * (4, 4) => (12, 12)

3 * (6, 7) => (18, 21)

3 * (8,0) => (24, 0)

Therefore, the vertices of the new triangle is (12,12) (18,21) (24,0)

Learn more about dilation on:

brainly.com/question/28956841

#SPJ3

Which of the following expressions are equivalent to -8-(-1)-5? Pick two answers.

Answers

OPTION B and E are the correct answers.

Answer:

B & E

Step-by-step explanation:

Main Expression: - 8 - ( - 1 ) - 5 = - 7 - 5 = - 12  

A: - 8 - 1 - 5 = - 9 - 5 = - 14  

B: - 8 + 1 - 5 = - 7 - 5 = - 12

C: - 8 + ( - 1 ) + ( - 5 ) = - 9 + ( - 5 ) = - 14

D: ( 8 + 1 ) - 5 = 9 + 5 = 14

E: - ( 8 - 1 + 5 ) = - ( 7 + 5 ) = - ( 12 ) = - 12

Hope this helps!

HELP PLSS I WILL GIVE BRAINIEST PLEASE!!!!

Answers

Answer:

Step-by-step explanation:

term            | Phrase

inequality   | 63<8k

Expression | bc+1-(8d-4)

Equation     | w^4=81

Answer:

Inequality 63 < 9k

Expression bc + 1 - (8d - 4)

Equation w⁴ = 81

Step-by-step explanation:

w⁴ = 81

⁴√w⁴ = ⁴√81

w = 3

3 × 3 × 3 × 3 = 81

9 × 3 × 3 = 81

9 × 9 = 81

bc + 1 - (8d - 4)

bc + 1 - 8d + 4

bc + 5 - 8d

What is the solution for
X+2y=9 2x+4y=20

Answers

Answer:

No solution

Step-by-step explanation:

x + 2y = 9

x = - 2y + 9

2x + 4y = 20

2(-2y + 9) + 4y = 20

-4y + 18 + 4y = 20

-4y + 4y = 20 - 18

0 = 2

( No solution)

Jenny made $35,000 in taxable income last year suppose the income tax rate is 10% for the first 9000+16% for the amount over 9000 how much money is jenny pay in income tax for last year

Answers

Answer:

for the first 9000 $ tax rate is 10%

so tax = 10% of 9000 = 900

rest of the amount = 35000-9000 =26000

tax rate is 16%

tax on 26000 =  16% of 26000 = 3900

total tax Debra has to pay for last year = 900 + 3900 = $4800

Step-by-step explanation:

Answer:

900+3900=$4800

#CarryOnLearning

Solve the system of equation y = -2+5
y = x^2 + 3x + 9

Answers

Answer:

9 is y

Step-by-step explanation:

Which measure of central tendency best describes the data set below?


{0, 80, 85, 88, 90, 95}

A. the mean, 73
B. the mode, none
C. the range, 95
D. the median, 86.5

Answers

Answer:

The correct answer would be D, the median 86.5. In this set of data most of the values are in the 80's or 90's.

Step-by-step explanation:

d point is the answer

Answer:

D) The median, 86.5

Step-by-step explanation:

Most of the data is clustered in the 80s. Therefore, D is correct.

You have 3 five dollar bills and 4 ten dollar bills in your pocket. If you pull out 2 bills, what is the probability they are both tens?

Answers

Answer: I think its 4%

Step-by-step explanation: 3+4=7 7/2=3.5

Answer:

1/14

Step-by-step explanation:

(Functions and Relations) Answer getting brainliest!!

Answers

Answer:

D

Step-by-step explanation:

Have a nice day

Sum of all edges of all shape

Answers

Answer:

Infinient amount buddy. They are infinent amounts of polygons, as a polygon is a shape with more then 3 sides and closed. This means as long as a number is bigger then 3, there will be a shape for it, so infinent sides

Step-by-step explanation:

Answer and I will give you brainiliest ​

Answers

Answer:

40 is your correct answer

Double Dice is a game in which two dice are rolled. A player wins the game if a certain sum is rolled. A player wins $7.00 if he rolls a sum of 5 or 6 and $20.00 if he rolls a sum of 2 or 3. He wins nothing if any other sum is rolled.
A. Define the random variable, X.
B. Write out the probability distribution function for the game.
C. What is the expected value of the game?
D. Assuming you have to pay $6.00 to play the game, explain what happens in the long run. (Is it a good idea to play the game?)

Answers

Answer:

3.417

Kindly check explanation

Step-by-step explanation:

X : $7 ; $20 ; $0

Sample space for the sum of two die rolls :

Probability of obtaining a sum of 5 or 6 ;

P(sum of 5 or 6) = 9/36 = 1/4

Probability of obtaining a sum of 2 or 3 ;

P(Sum of 2 or 3) = 3/36 = 1/12

Probability of obtaining a sum of other Tha 2,3, 5 or 6 ; = 24/ 36 = 2/3

The probability distribution :

X _____ 0 _______ 7 _____ 20

P(x) ___ 2/3 _____ 1/4 ____ 1/12

Expected value of the game ; E(X) ;

E(X) = Σx*p(x)

E(X) = (0*2/3) + (7*1/4) + (20*1/12)

E(X) = 0 + 1.75 + 1.6667

E(X) = 3.417

This means that if the game is paid for a long time, the mean or expected winning will be ; $3.417

If game has to be played with $6 ; then to determine if it is a good idea to play the game on a long run, we calculate the payoff ;

The payoff is :

Expected value - playing cost

$3.417 - $6  = - $2.583

Since payoff is negative, we can conclude that it is not a good idea to play the game in the long run : as the expected value is lesser than the playing fee.

A summer music program admits a total of 30 students. Every year the program is filled. Some years there are only girls, and some years there are only boys. A function, f, is written that gives the number of girls, y, enrolled in the program based on the number of boys, x. If this function is graphed over the appropriate domain, which statement must be true? Select all the statements
that apply.

Answers

Answer:

c d

Step-by-step explanation:

trust me

Identify which type of sampling is​ used: random,​ systematic, convenience,​ stratified, or cluster. To determine customer opinion of their safety features​, Daimler−Chrysler randomly selects 100 service centers during a certain week and surveys all customers visiting the service centers.

Answers

Answer:

Cluster

Step-by-step explanation:

According to the Question,

Given this, Daimler−Chrysler randomly selects 100 service centers during a certain week and surveys all customers visiting the service centers.

This is a Cluster type of Sampling.

Cluster sampling is a type of sampling method in which the population under study is divided into different groups known as clusters before simple random samples are selected from each population cluster. The analysis of such a population is carried out based on the sampled clusters. This method is adopted when a researcher does not have access to the whole population under research.

Advantages of cluster sampling

The research method only needs fewer resources. The sample under review is feasible.

Note: Cluster sampling is not as accurate as simple or stratified random sampling.

what is the largest number in the form x987yz that is divisible by 12?

Answers

Answer:

998796

Step-by-step explanation:

For a number to be divisible by 12. it must be divisible by 3 and  4

Since we need the largest 6 digit number, we will take x = 9

So the number is 9987yz

Again since we need the largest number we will consider the largest 2 digit number multiple of 4 and 3.

Largest 2 digit number divisible by 4 is 96, which is also divisible by 3.

So, yz  = 96

Therefore , the largest number in the form will be : 998796

Answer:

The largest number is 998796

------------------------------------------------------

The largest digit you could use is 9 so, our number would be, 998799,

but the thing is that it's not divisible by 12.

The next largest would be 8. (998798) Not divisible.

7, so our number would be, 998797. Not divisible.

6, 998796. 998796/12= 83233, which means that it is divisble, so, the largest number in the form x987yz that is divisble by 12 is 998796

Please correct me if I'm wrong.

find the sum of the smallest 7- digit number and largest 4-digit number​

Answers

1009999

Hope it helps you...

2 1/3 - (-5) =

what does it equal

Answers

Answer:

7 1/3

Step-by-step explanation:

See image below:)

WILL GIVE BRAINLIEST FOR ANSWER

Answers

Answer:

the answe is 187 cm square

answer: 185 cm^2
explanation:
area of triangle: 1/2 x b x h
(1/2 x 6 x 7) = 21
there are two of these triangles, so double this number to get 42
(1/2 x 6 x 11) = 33
there are also two of these triangles, so double this number as well to get 66
area of rectangle: l x w
7 x 11 = 77
finally, add all of these numbers to get your answer.
77 + 66 + 42 = 185

John shot 30 baskets in 5 minutes. At this rate how many minutes will it take him to shoot 90 baskets? What are the 2 units you are comparing?

Answers

Ans5 and 2

Step-by-step explanation:

Other Questions
identify the organ system pictured below and state two functions of this system in the body 3x-6y=24 y=Mx+b form Question 2 of 10Which of the following is a significant achievement of Oprah Winfrey?O A. She was the first woman to win an Emmy Award.B. She was listed by Forbes as the first Black female billionaire.C. She was the first woman news anchor.O D. She was the first Black person to host her own television show.?? When conducting an experiment, researchers need to be aware of __(blank)__, or rules of conduct recognized in respect to the rightness or wrongness of certain actions on subjects.A) IRB guidelines B) EthicsC) APA guidelines The Triple Alliance was a treaty between Germany, Italy, and _____.PrussiaFranceAustria-Hungarynone of the above I must use all of the words provided and add prepositions where necessary to write these words as complete sentences. yo / hacer ejercicios / el parqueall (there) / yo / ver / a mis amigos yo / traer / tres telfonos celulares / universidadyo / poner / msica emo / mi oficinayo / dar fiestas / por la maanayo / conocer / a todos mis colegas / la universidadpero / yo / no saber / sus nombres 18.96 x 2.03 correct to 2 significant figures equals what? Carroll bikes 1 kilometer east, 4 kilometers north, and then 5 kilometers east again. How far is Carroll from her starting position? What is the total are of the felt patch A. 225 square cm B. 405 square cmC. 500 square cmD.450 square cm Given angel theta with cos theta < 0 and sin theta > 0, indicate the quadrant that theta lies in You roll a standard six sided number cube. What is the probability of rolling a prime number or a number greater than 4? Female mosquitoes need a meal of blood from a person or other animal in order to produce eggs. It has been discovered that mosquitoes have cells on their antennae that can detect the insect repellent known as DEET. The repellent is not harmful to mosquitoes, but when mosquitoes detect DEET, they will not land on the surface where the DEET has been applied. This protects people from being bitten by mosquitoes. Recently, scientists found some mosquitoes that are resistant to DEET because they do not detect its presence. They bred these mosquitoes and eventually produced a population consisting of about 50% DEET- resistant insects. Identify the process most likely responsible for a mosquito initially becoming resistant to DEET. Refer to the image below. What value of x makes this proportion true?3/x = 15/40A. 5B. 28C. 8D. 105 hi so the problem is a recipe calls for a total of 3 2/3 cups of flour and sugar. If the recipe calls for 1/4 cup of sugar, how much flour is needed 1. 3 1/12 2. 3 1/4 3. 5/12 4. 3 11/12 The doctor prescribed three MG/KG Twice daily for five days the child weighs 35 pounds and the medication is available as 50MGS/ML how many ML should be administered to the child for each dose round to the nearest Hundredths place ? Work out to Could someone help me, please? I got 4, but Im not sure. +(10x+2)(9X+18) find the value of x Cuntos quilmetros recorrer una locomotora en 5 horas, si marcha a una velocidad de 82 kilmetrospor hora? Click on the number line below to show the approximate location of 19 on the number line.