Use the ^ symbol (Shift+6 on the keyboard) to signify an exponent. For example, for 2 to the third power, enter 2^3. The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 5x2 − 4x and g(x) = 5x + 1. Find f + g. Incorrect feedback has been removed from the screen. Fill in the blank text field 1

Answers

Answer 1

Solution

f(x) = 5[tex]x^{2}[/tex] - 4x

and g(x) = 5x + 1

f + g is nothing but addition of f(x) and g(x)

Therefore, f + g = f(x) + g(x)

= 5[tex]x^{2}[/tex] - 4x + 5x + 1

Simplify the like terms, here -4x and 5x are the like terms.

f + g = 5[tex]x^{2}[/tex] + 1x + 1              [ 5x - 4x = 1x which is nothing but x]

f + g = 5[tex]x^{2}[/tex]+ x + 1


Thank you :)

Answer 2

The sum of the functions f(x) = 5x^2 − 4x and g(x) = 5x + 1 is found by adding the corresponding terms, resulting in the simplified function f(x) + g(x) = 5x^2 + x + 1.

To find the sum of the functions f(x) and g(x), you simply add the corresponding terms of each function together. Since the question gives us functions defined by f(x) = 5x2 − 4x and g(x) = 5x + 1, we combine these like so:

f(x) + g(x) = (5x2 − 4x) + (5x + 1).

To simplify, you combine the like terms:

f(x) + g(x) = 5x2 − 4x + 5x + 1

Now combining -4x and +5x:

f(x) + g(x) = 5x2 + (5x − 4x) + 1 = 5x2 + x + 1.

This final expression represents the sum of the functions f and g.


Related Questions

What is 5103 to the nearest thousands

Answers

5,103 rounded to the nearest thousands is 5,000

In order to round a number to the nearest thousand, we must see if the digit in the hundreds position is greater or less than 5.

In this case, 1 is less than 5

If the number is less than five, we round the number down, and in this case, to the nearest thousand.

Therefore, the nearest thousand would be 5000

liz am confused on those places help

Answers

So for example 11/3 is 3 2/3 because you divide 11 by 3 and how you do it is that 3 goes into 11 3 times so you would write three on top of the 11 and then subtract 11-9 which is 2 so it is 3 2/3

The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

a. 3 2/3

b. 3 3/8

c. 5

d. 4 1/5

What the length of a cube having a volume of 1331 ft3

Answers

You just have to take the cube root of 1331. So ³√1331 = 11

Solve. - 1 3 x > 5


A) x < -15

B) x > -15

C) x > 5/3


D) x < -5/3

Answers

its none of them... x<-5/13 divide each term by -13 and simplify.


I'm assuming by the answer choices that you're question is:

-1/3x > 5

Isolate the x. Multiply -3 to both sides

(-3)(-1/3)x > 5(-3)

x > 5(-3)

Remember to flip the sign when you multiply by a negative number

x > 5(-3)

Multiply

x < -15

x < -15, or (A) is your answer

hope this helps

~Rise Above the Ordinary

What can you say about the marked angles in these parallelogram?

A Opposite angles of a parallelogram are congruent. ( the same measure)
B Consecutive angles of a parallelogram are supplementary (measure add to 180)
C consecutive angles of a parallelogram are congruent. (The same measure)
D Opposite angles of a parallelogram are supplementary (measure add to 180)


Please need help on this don’t understand this one

Answers

Answer: A and B both are correct statements.


Step-by-step explanation:

Let ABCD is a parallelogram then its properties are as follows:-

1. Opposite angles and sides of parallelogram are always congruent.

i.e.AB=CD and AD=BC and ∠A=∠C and ∠B=∠D

2.Consecutive angles are supplementary.

i.e. ∠A+∠B=180° and ∠B+∠C=180°

3. Its diagonals bisect each other.

4. The sum of all the angles is 360°.

What is the common denominator of 1/a+1/b in the complex fraction 1/a-1/b/1/a+1/b

Answers

Answer:

common denominator is ab.

Step-by-step explanation:

Given : [tex]\frac{1}{a} +\frac{1}{b}[/tex] ;  complex fraction  [tex]\frac{\frac{1}{a} - \frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}[/tex].    

To find : What is the common denominator.

Solution : We have given that  [tex]\frac{\frac{1}{a} - \frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}[/tex].    

For this, we subtract fractions in the numerator and the sum of fractions in the denominator.

 [tex]\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}[/tex].

We observe that the common denominator is given by the product:  ab

Therefore, common denominator is ab.

Answer: is D

Step-by-step explanation:

which equation could be used to find the number of minutes,M, and H for hours?
A) m=60+h
B) m=h/60
C) m=60h
D) m=60/h

Answers

Answer:

It would be C

Step-by-step explanation:

If you were to substitute the variables, say M would be 120, and since there are 120 minutes in 2 hours, H would be 2.

If you plug it in to C, you would get:

120=60*2, which is equal.

You can do the same with any number.

Final answer:

To convert hours to minutes, the correct equation is M = 60H, where M represents minutes and H represents hours.

Explanation:

To find the equation that converts hours to minutes, we need to use the relationship that 1 hour is equal to 60 minutes. Therefore, to convert hours to minutes, we would multiply the number of hours by 60. The correct equation would be M = 60H, where M stands for minutes and H stands for hours.

For example, to convert 4 hours to minutes, we would calculate 4 × 60 = 240 minutes.

Which is the graph of y = -1/x?

Answers

C would be your answer.

Dividing whole numbers if insulation can be installed at a rate of 1,400 square feet per hour and 29,400 square feet needs to be installed,how many hours will the job take?

Answers

Answer : 29,400:1,400=0,021
Final answer:

It will take approximately 21 hours to install the insulation.

Explanation:

To determine the number of hours it will take to install 29,400 square feet of insulation at a rate of 1,400 square feet per hour, we can use division. We can divide the total square footage by the rate of installation per hour:

Number of hours = Total square footage / Rate of installation per hour

Number of hours = 29,400 square feet / 1,400 square feet per hour

Number of hours = 21 hours

Therefore, it will take approximately 21 hours to install the insulation.

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Identify the smallest numbers that can actually belong to a class in a frequency distribution

Answers

Answer: Lower class limits.

Step-by-step explanation:

1. By definition, a frequency distribution lists classes of values and the frequency of ocurrency.

2. The class limits is define as the minimum and maximum values that can belong to the different clases. The class limits are: Lower class limits and Upper class limit.

3. Lower class limits is define as the smallest numbers that can belong to a class.


Answer:

Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?

A. Yes, all the requirements are met.

Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?

C. No, the distribution is not symmetric.

Identify the class width for the given frequency distribution.

B. 5

Identify the class midpoints for the given frequency distribution.

C. 202 207 212 217 222 227 232 237

A survey of statistics students asked the students for their favorite music genre. The results of the survey are provided in the table. Identify the model class from the distribution.

A. Blues

A recent survey asked 874 people to identify what education they have achieved. The accompanying table summarizes the result. Does this table describe a relative frequency distribution? Why or why not?

C. No, the sum of the percentages is not 100 percent.

Find the midpoint of the FICO score interval 550-599.

D. 574.5

Listed below are blood groups of O, A, B, and AB of randomly selected blood donors (based on data from the Greater New York Blood Program)

Identify the frequency of the blood group O.

D. 22

A sample value that lies very far away from the majority of the other sample values is _______

A. An outlier

Identify the smallest numbers that can actually belong to a class in a frequency distribution.

A. Lower class limit.

No really getting this please help

Answers

Hi,

From simplifying the expression I can see your answer in it's exact form is 35/6. Based off of your multiple choice answers, your answer is 5 5/6.

Hope this helps.

The answer is 5 5/6 hope this helps :)


Three years ago, Claire borrowed money from her father to pay for a class trip. She agreed to pay 6% simple annual interest on the loan. Now she owes him $90 in interest, plus the principal amount. How much did Claire borrow?

Answers

Answer:

73.8

Explanation:

Every year is an extra 6% interest, after 3 years this accumulates to 18%. 18% of 90 is 16.2 and 90 - 16.2 is 73.8

If this helps, you could help me by giving a thanks.

Answer:

D 500

Its been 2 years since you asked this but I hope I can help!

which unit is most appropriate to use to measure the volume of a bathtub

Answers

Litres/liters is the most appropriate way to measure the volume of a bathtub. This is 1000 mL (mililitres).

The most appropriate unit to measure the volume of a bathtub is liters.

When considering the volume of a bathtub, the most appropriate unit of measure would be liters. Milliliters are too small for such a large volume, and while gallons could be used, liters are more standard for this type of measurement in many parts of the world, including in scientific contexts.

For example, if we have a common bathtub that is 13.44 dm long, 5.920 dm wide, and 2.54 dm deep, we would calculate its volume in liters. Since a bathtub has a capacity similar to a large container, liters are an appropriate choice because they give a manageable number for the volume. In measuring smaller volumes, like that of a water balloon or a chemical solution in a lab, milliliters or a graduated cylinder may be used instead.

I NEED HELP WITH #36

Answers

Answer:

2 3/4 in

Step-by-step explanation:

The sum of the marked distances is equal to the total distances shown:

... (1 5/8) + ? + (1 5/8) = 6

... ? = 6 - (1 5/8 + 1 5/8) . . . . . subtract the constants on the left

... ? = 6 - (2 5/4) . . . . . . . . . . . add the numbers in parentheses

... ? = 6 - 3 1/4 . . . . . . . . . . . . rewrite the number in parentheses (2+5/4 = 2 + 1 1/4)

... ? = (6 -3) -1/4 = 3 -1/4 . . . . . see below

... ? = 2 3/4

_____

Comment on subtacting mixed numbers

Some folks find it convenient to subtract by adding. To find the difference between 3 1/4 and 6, they would start by adding 3/4 to make 4, then add 2 to make 6. Then they see the difference is 3/4 + 2 = 2 3/4.

Here, I chose to subtract 3 1/4 by subtracting 3, then subtracting 1/4. After subtracting 3 from 6, I get 3, from which I now need to subtract 1/4. It should be clear that taking 1/4 away from 3 will leave 2 3/4. (One of the units has been converted to 4/4 to make the subtraction of 1/4 possible.)

_____

Comment on doubling a fraction

As part of this problem, we needed to add 1 5/8 to itself. We did that by doubling the integer part, and doubling the fraction. When a fraction has an even denominator, it is easy to double it: replace the denominator with half its value — 2×(5/8) = 5/4, where the denominator 4 is half the denominator 8.

Multiply.

1.25(−3.6)

Enter your answer as a decimal in the box.

Answers

Answer:

-4.5

Step-by-step explanation:

the multiplication of 1.25(−3.6) is -4.5.

What are mathematics operations?

• A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Here, the given expression is :

1.25(−3.6)

Now after removing the bracket multiplication sign will apply :

1.25 x −3.6 = -4.5

Therefore, the multiplication of 1.25(−3.6) is -4.5.

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what is 4x + 3 = 2x +7

Answers

bring like terms together
(REMEMBER CHANGE THE SIGN WHEN MOVING ACROSS THE EQUAL SIGN i.e. - becomes + and + becomes -)
4x - 2x = 7 - 3
2x = 4
divide both sides by 2
x = 2

Answer: [tex]x=2[/tex]


Step-by-step explanation:

First, subtract by 3 from both sides.

[tex]4x+3-3=2x+7-3[/tex]

Then, simplify.

[tex]4x=2x+4[/tex]

Next, subtract by 2x from both sides.

[tex]4x-2x=2x+4-2x[/tex]

Simplify.

[tex]2x=4[/tex]

Divide by 2 from both sides.

[tex]\frac{2x}{2}=\frac{4}{2}[/tex]

Finally, simplify.

[tex]x=2[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes since the bus left the school.


What does the slope of the graph mean?

Tracie’s bus travels towards her home at an average speed of mile per minute.
Tracie’s bus travels towards her home at an average speed of 2 miles per minute.
Tracie’s bus travels away from her home at an average speed of mile per minute.
Tracie’s bus travels away from her home at an average speed of 2 miles per minute.

Answers

Answer:

Tracie’s bus travels towards her home at an average speed of 1/2 mile per minute.

Step-by-step explanation:

The labels on the graph tell us that the independent variable, x, represents time in minutes, and the dependent variable, y, represents distance from home in miles.

Looking at the graph, we can see that the number of miles from home decreases by 1 for every two minutes.  Since the distance is decreasing, this means that the bus is getting closer to home.  Since it decreases by 1 mile every 2 minutes, this means that the speed is 1/2 mile per minute.

The answer is : A, Tracie's bus travels towards her home at an average speed of 1/2 mile per minute.

What does this complex fraction equal??? Please help me

Answers

Answer:

16/3

As a decimal, 5.3 with a line other the "3" which means it's repeating

As a mixed fraction, 5 1/3


Hope this helps :-)





can someone please help me with this plss and thanks

Answers

4x + 32 - 4 = 34 - 2x

4x + 28 = 34 - 2x

4x = 34 - 2x - 28

4x = -2x + 6

4x + 2x = 6

6x = 6

x = 1

Min is twice as tall as her brother . If min is 5feet 3 inches tall how tall is her brother

Answers

Final answer:

Min's brother is half as tall as her. So if Min is 5 feet 3 inches tall, her brother will be 2 feet 6.5 inches tall.

Explanation:

The subject of this question is Mathematics, specifically a problem involving ratios. The problem tells us that Min is twice as tall as her brother. We're also given that Min's height is 5 feet 3 inches. To find the height of Min's brother, we need to halve Min's height because her brother's height is half of hers.

Doing the calculation, Min's brother would be 2 feet 6.5 inches tall. This is because half of 5 feet is 2.5 feet. But since we usually represent height in feet and inches separately, we say that is 2 feet and 6 inches, with an additional 0.5 inches making up for the half foot.

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HURRY
The Johnson family is taking a car trip. They are driving at an average speed of 60 miles per hour. The graph shows their distance traveled over time. What does the point (5, 300) represent in this situation?


A) The Johnson family will travel 300 miles in 5 hours.
B) The Johnson family will finish their trip in 5 hours.
C) The Johnson family drives 5 miles per hour for 300 miles.
D) The Johnson family vacation destination is 300 miles away.

Answers

A) the Johnson family will travel 300 miles in 5 hours

Assuming 5, represents the amount of hours & 300 representing miles

One square tile on your kitchen floor is 11.25 inches long. It takes 12.5 tiles to cover the length of the floor. About how long is the floor?

Answers

1 Square = 11.25 inches

You need 12.50 Squares


So, that means that you should do 11.25 × 12.50 which equals 140.625 and 140.625 is your length. Let me know if this is right and if it helped you.

How many inches are in 5 1/2

Answers

There are 12 inches in every foot 5 x 12 is 60 half a foot would be 12÷2=6  so 60+ 6=66 inches

Jacob wants to use an elevator to carry identical packages having the same weight. Each package weighs 3 pounds and Jacob weighs 99 pounds. If the elevator can carry a maximum of 300 pounds at a time, which inequality shows the maximum number of packages, n, that Jacob can carry with himself in the elevator if he is the only passenger?

n ≤ 67
n ≥ 67
n ≤ 198
n ≥ 198

Answers


Answer:

Your answer is B

Step-by-step explanation:

Take 300 and subtract it by 99 you'll get 201

3 times 67 is 201

Which is why your answer is B!




Hope this helps! -Queenb369


(P.S, If you could give me the brainlist if i'm right, that will be great thanks!)


Answer:

Option B is the correct answer.

Step-by-step explanation:

First, it is necessary to remember that Jacob weights 99 pounds. Another important number is 300, the pound the elevator can carry. Finally, Jacob has identical packages that weight 3 pounds. So we need to perform the following calculations:

300-99=201.

3*67=201, which is the same as Option B.

what is the square root of 28

Answers

The decimal form would be 5.29150262

That square root of 28

what is and why 41/2+31/4=

Answers

41 divided by 2 plus 31 divided by 4 equals to 28.225                                                                                                                                        

In order to add these fractions, you must make sure that the denominators are the same. Since one of the denom. is 4 and the other is 2, we can just multiply the fraction of 41/2 by 2. Remember to multiply top and bottom.

41/2 * 2/2 = 82/4  Now that the denom. are 4 you may now add the numerators.

82/4 + 31/4 = 113/4  if you are asked to give it as a mixed fraction then it will be  28 1/4


hope this helps

clara wants to run a total od 5 1/2 miles each lap around the track is 0.25 miles how many laps around the track does clara need to run to complete 5 1/2

Answers

0.25•4=1
5.5/.25=22

Clara would have to run 22 laps

Final answer:

Clara needs to run 22 laps around the track, at 0.25 miles per lap, to reach her goal of 5 1/2 miles.

Explanation:

The question is about calculating the number of laps Clara needs to run to cover a distance of 5 1/2 miles, with each lap being 0.25 miles long. To find the number of laps, we divide the total distance she wants to run by the distance of one lap.

Total distance Clara wants to run: 5 1/2 miles or 5.5 miles (converting 1/2 into decimal for easier calculation).

Distance of one lap around the track: 0.25 miles.

To find the number of laps, we perform the division:

5.5 miles ÷ 0.25 miles/lap = 22 laps.

Therefore, Clara needs to run 22 laps around the track to complete her goal of 5 1/2 miles.

which lists all the integer solutions of the equation x = l21l ?

A.21 only

B.21 and -21

C.0 and 21

D.-21 only

Answers

Hey there!A is partially correct because it is the same thing as [tex]x =[/tex] [tex]|21|[/tex] but it isn't your answer B is correct because it is showing your original problem with the ADDITIVE INVERSE C is incorrect because it doesn't have any thing with the particular equation (besides the 21 part) D. is partially correct because it is showing the additive inverse of the problem So, now that we got that portion out of the way, we now know our resultAnswer: [tex]B.[/tex][tex]21[/tex] [tex]and[/tex] [tex]-21[/tex]Good luck on your assignment and enjoy your day! ~[tex]LoveYourselfFirst:)[/tex]

zoe watched 6 episodes of her favorite online video series in 1.5 hours. she spent the same amount of time watching each episode. what is the unit rate of hours to episodes

Answers

15 min every episode
1.5*60=90
90/6= 15
15 minutes per episode

An elevator started on the first floor and went up 18 floors. It then comes down 11 floors and went back up 16 floos. At what floor did this stop.

Answers

23 floors is your answering
the 23th floor

hope this helps

have a great day!!
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