if f(x)=2x-1 and g(x)=x^2-3x-2, find (f+g)(x)

Answers

Answer 1

Answer: (f+g)(x)=x²-x-3

Step-by-step explanation:

(f+g)(x) means f(x)+g(x). Since we are given f(x) and g(x), we can add them together.

(f+g)(x)=2x-1+x²-3x-2                [combine like terms]

(f+g)(x)=x²-x-3

Now, we know that (f+g)(x)=x²-x-3.


Related Questions

what is the average rate of change for the quadratic function from x=4 and x=8? enter your answer in the box

Answers

Answer:

the image up is your answer to the question.

Answer:

-2

Step-by-step explanation:

Value of the function at x = 4 is 12

Value of the function at x = 8 is 4

change in y is  4 - 12 = -8

change in x is 8 - 4 = 4

x = 4 to x = 8 is -8/4 = -2

there were 96 runners to start a race. in the first half of the race, 1/4 of them dropped out. in the second half of the race, 1/6 of the remaining runners dropped out. how many runners finished the race?

Answers

Answer: 60

Step-by-step explanation: 1/4 of 96 is 24 so you subtract that and get 72. And 1/6 of 72 is 12 and you subtract that leaving you with 60 to remain.

I NEED HELP ASAP. PLEASE HELP MEE!

Answers

Answer:

9,6

Step-by-step explanation:

Hopefully this helps you :)

pls mark brainlest ;)

what is the distance between (8, -3) and (4, -7​

Answers

Answer: I HOPE IT HELPS

Step-by-step explanation:6

2

8.49

to 2 decimal places

Explanation:

Calculate the distance ( d ) using the  

distance formula

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

d

=

(

x

2

x

1

)

2

+

(

y

2

y

1

)

2

2

2

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−  

where  

(

x

1

,

y

1

)

,

(

x

2

,

y

2

)

are 2 coordinate points

The 2 points here are (-8 ,4) and (-2 ,-2)

let  

(

x

1

,

y

1

)

=

(

8

,

4

)

and  

(

x

2

,

y

2

)

=

(

2

,

2

)

d

=

(

2

+

8

)

2

+

(

2

4

)

2

=

36

+

36

=

72

x

=

36

×

2

=

36

×

2

=

6

2

8.49

what is the difference between 9 - 4 1/5

Answers

Hey there!☺

[tex]Answer:\boxed{4\frac{4}{5}}[/tex]

[tex]Explanation:[/tex]

[tex]9-4\frac{1}{5}[/tex]

Subtract the whole number by the fraction.

[tex]\frac{24}{5}[/tex]

24/5 needs to be simplified so we will rewrite it like this:

[tex]4\frac{4}{5}[/tex]

Hope this helps!

Need help ASAP thanks

Answers

Answer:

total cost of all seats : 61,940

Mean : 398

Median : 280 320 400 540 850

mode: no mode

I think this is right.

Solve for x:2/3=x/9 can someone solve this

Answers

Hey there!

ANSWER: [tex]x=6[/tex]EXPLANATION:

[tex]\frac{2}{3}=\frac{x}{9}[/tex]

For the first step, we will need to use the cross multiplying method.

[tex]\frac{2}{3} =\frac{x}{9}\\ (2)*(9)=(x)*(3)\\18=3x[/tex]

Now let's flip.

[tex]3x=18[/tex]

Now for the final step, we will have to divide both sides by 3.

[tex]\frac{3x}{3} equals\frac{18}{3}[/tex]

Simplify 18/3.

[tex]18/3=6\\6(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Tula can paint 2/3 of a room in 3/4 hours. How many rooms can she paint in one hour?

Answers

Answer:

She can paint 1 1/2 of a room

Step-by-step explanation:

I believe...

Answer:

8/9

its just simple equations

you do 2/3 divided by 3/4 for the unit rate.

8•1,000+1•1+5•100+4•10,000+8•10 standard form

Answers

Answer:

48581

Step-by-step explanation:

Answer:

48581

Step-by-step explanation:

Pls, Help! I need this today!

Answers

Answer:

see below

Step-by-step explanation:

5/6 + ( -1 1/6)

Changing the mixed number

5/6 + - (6/6 +1/6)

5/6 + ( -7/6)

-2/6

Simplify

-1/3

Since these are divided into 6 pieces, go two pieces to the left of zero.

Is 0 a real, imaginary, or complex number?

Answers

Answer: 0 is a imaginary number

Step-by-step explanation:

the temperature dropped from 44 degree to -56 degree. what was the change in tempreture

Answers

The change in temperature was 100 degrees I believe.

I need to know what x is and if you could put the steps that could be really helpful (THANK YOU)

Answers

Step-by-step explanation:

Hey there!!!

Here,

Triangle BCM and triangle ABC are 2 isosceles triangle.

Solving in triangle BCM.

Angle CBM = 31° { it is the base angle.}

Angle CBM + 31° + angle BCM = 180° { sum of interior angle of a triangle is 180°}.

31°+31°+ angle BCM = 180°

Angle BCM = 180° - 62°

Therefore the measure of angle BCM = 118°.

Again,

Solving in triangle ABC.

Angle BCM + angle ACB = 180° { being linear pair}.

118°+ angle ACB = 180°

Angle ACB = 180°-118°

Therefore the measure of angle ACB is 62°.

Angle ACB = angle BAC (Base of an isosceles triangle).

Therefore the measure of angle BAC = 62°.

Now, To find x,

Angle BAC + angle ACB + angle x = 180° (sun of interior angle of a triangle is 180°).

62°+62°+angle x = 180°

Therefore the measure of angle x is 56°.

[tex]hope \: it \: helps...[/tex]

Ifa student wanted to design an experiment that uses sound scientific principles, which of the following
should he or she not do?

A. Start with a hypothesis

B.Test more than one variable at a time

C.Record data in a table

D. compare results with others

Answers

Answer:

the answer is B

Step-by-step explanation:

Solve 5x + 2 = 3x -8

Answers

Step-by-step explanation:

5x-3x=-8-2

2x=-10

x=-10/2

x=-5

Answer: x=-5

Step-by-step explanation:

Given

5x + 2=3x -8

Subtract 2 on both sides

5x + 2 - 2=3x - 8 - 2

5x=3x-10

Subtract 3x on both sides

5x - 3x=3x - 10 -3x

2x=-10

Divide 2 on both sides

2x / 2=-10 / 2

x=-5

simplify the following equation: (5 + 3)²​

Answers

Answer:

64

Step-by-step explanation:

5+3=8

8*8=64

Answer:

the answer is 64

Step-by-step explanation:

If I spent $3.87 on grapes at Tom Thumb and I bought 3.05 pounds. How much was each pound?
(round to the nearest hundredths place because it is money)

Answers

Answer:

$1.26 or $1.27 depending on whether you round up or down. The number in the thousandths is an 8 though

Step-by-step explanation:

You would divide 3.05 by itself to get one pound

and then 3.87 by 3.05. You have to divide both numbers so you get the number for one pound.

3.87÷3.05=1.268852459

Round up or down depending on what your teacher would want you to do so that the decimal is in the hundreths like money.

which unit represents 0.01 liters

Answers

Answer:1 centiliter

Step-by-step explanation:1 centiliter equals 0.01 liters

The answer is 1 centimeter

The volume of a rectangular prism with a length of x meters, a width of x - 1 meters, and a height of x + 11 meters is
no more than 180 cubic meters. What are the possible values of the length?
(-0, -9) U (-5,4)
0 (0,4)
O (1.4)
O (1.4)

Answers

Answer:

The answer is c

Step-by-step explanation:

PLZZZZ HELP WILL GIVE BRAINLIST

Answers

Answer:

Step-by-step explanation:

Unlikeley: 0.6

likely: 0.35

Impossible: 0

Certain: 0.5

Equally: 0.9

unlikely: 1

Hope This Helps! :)

State the domain and range in interval notation​

Answers

I’m sory I don’t exactly know

Which statement is true?
A. 3 2/5 < 2 4/5
B. 2/3 > 1 7/3
C. 4 1/4 > 2 3/4
D. 1/2 < 1/4

Answers

Your answer is gonna be C

Answer: C. 4 1/4 > 2 3/4

Step-by-step explanation: Option C is correct because when comparing mixed numbers, we first compare the whole numbers. In this case, 4 is greater than 2. Then, if the whole numbers are the same, we compare the fractions. In this case, 1/4 is greater than 3/4. Therefore, 4 1/4 is greater than 2 3/4.

- Lizzy ˚ʚ♡ɞ˚

Name (Templatel 09.09.2020 - Assignment 004 NAME Assignment 004 - Dividing Fra Divide Fraction by Fraction Divide. Write in simplest form. 2/3÷4/5​

Answers

Answer:

5/6

Step-by-step explanation:

2/3 ÷ 4/5​

2/3 × 5/4

10/12

5/6

Find the area of a square with a side of length 2 Square root of 3+6 square root of 7 inches

Answers

Answer:

(264+24√21) in²

Step-by-step explanation:

Area of a square = Length * Length

A = L²

Given the length of a square as [tex]2\sqrt{3}+6\sqrt{7}[/tex] inches' The area of the square will be calculated as shown;

[tex]A = (2\sqrt{3}+6\sqrt{7})^2\\\\A = (2\sqrt{3}+6\sqrt{7})(2\sqrt{3}+6\sqrt{7})\\\\A =(2\sqrt{3})(2\sqrt{3})+(2\sqrt{3})(6\sqrt{7})+(6\sqrt{7})(2\sqrt{3})+(6\sqrt{7})(6\sqrt{7})\\\\A = 4\sqrt{9}+12\sqrt{21}+12\sqrt{21}+36\sqrt{49}\\\\A = 4(3)+24\sqrt{21}+36(7)\\ \\A = 12+24\sqrt{21}+252\\\\A = 264+24\sqrt{21}[/tex]

Hence the area of the square is (264+24√21) in²

The sum of two numbers is 82. One number is three less than four times the other. Find the two numbers.

Answers

Answer:

17 , 65

Step-by-step explanation:

x+ y = 82

y = 4x - 3

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

Put the second equation into the first.

x + 4x - 3 = 82

5x = 85

x = 85/5

x = 17

17 + y = 82

x = 82 - 17

x = 65

To solve x2−8x=10 by completing the square, what should be added to both sides?

Answers

Answer:

16 will be added.

Step-by-step explanation:

Given equation is,

x² - 8x = 10

To convert this equation into a square form we will follow the following steps,

Step (1). x² - 2(4x) = 10

Step (2). x² -2(x)(4) + 16 = 10 + 16

Step (3). x² - 2(4)(x) + 4² = 26

Step (4). (x - 4)² = 26

In step (2) we have added 16 to both the sides of the equation to make is a perfect square.

The probability that an event will happen is P(E)=
34/41.
Find the probability that the event will not happen.

Answers

Answer:

7/41

Step-by-step explanation:

There is a 34/41 probability that this event will happen so to find the probability of which the event will not happen, the subtract 34 from 41 to get your answer.

41-34=7

Therefore, 7/41 is the answer.

Ps. is the P(E) included in the main question? if it is, the the answer might differ from the one I am giving you.

What is 17 percent of 425 please show step by step. I’m really struggling

Answers

Answer:

72.25

Step-by-step explanation:

17% of 425

=17\100 ×425

=7225/100

=72.25

Answer:

72.25

Step-by-step explanation:

Lets say you are trying to find p percent (p%) of a number n. To do this, you would divide the percent (p) by 100 and multiply it by the number (n). In other words:

[tex]n*\frac{p}{100}[/tex]

We can use this to find 17 percent of 425. 17 would be our percent and 425 would be our number.

[tex]425*\frac{17}{100}=425*0.17=72.25[/tex]

So 17 percent of 425 would be 72.25.

I hope you find my answer and explanation to be helpful. Happy studying. :)

someone help me answer this plzzzzz

Answers

Answer:

Step-by-step explanation:

r = (x  co-efficient  ÷ 2)²

r = (6/2)² = 3²

r = 9

s = - 2r

s = -2*9 = -18

3≤7+g what does g equal?

Answers

Answer:

-4

Step-by-step explanation:

Solve this like a normal equation. Pretend the ≤ is an equal sign. Then isolate the variable. Subtract 7 from both sides, and that will give you -4

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