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

Write an equation for the parent function y = x^ 2 stretched by a factor of 6 and shifted down 4 units?

Answers

Answer:

 

Translations

y = f (x) + k up k units

y = f (x) - k down k units

y = f (x + h) left h units

y = f (x - h) right h units

Stretches/Shrinks

y = m·f (x) stretch vertically by a factor of m

y = ·f (x) shrink vertically by a factor of m (stretch by  

y = f (x) stretch horizonally by a factor of n

y = f (nx) shrink horizontally by a factor of n (stretch by )

Reflections

y = - f (x) reflect over x-axis (over line y = 0)

y = f (- x) reflect over y-axis (over line x = 0)

x = f (y) reflect over line y = x

Hope this helps

Step-by-step explanation:

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for black, 1/5 for yellow,1/15 for blue, and 1/10 for white. What is the probability of pulling a black or yellow card, written as a reduced fraction?

Answers

Step-by-step explanation:

P(black or yellow) = P(black) + P(yellow) − P(black and yellow)

P(black or yellow) = 1/25 + 1/5 − 0

P(black or yellow) = 6/25

Create a one-to-one function.

Answers

Answer:

f(x)=x

Step-by-step explanation:

that's keeping it simple... ;-)

What is the value of x that satisfies the equation 4/3=x+10/15

Answers

Answer:

4/3=x+10/15

x=4/3 - 10/15

x=4/3 - 2/3

x=4-2/3

x=2/3

X=23 will be your answer for this

5.4 inches of snow fell in 3.6 hours. How much snow fell per hour?

Answers

Answer:

1.5 per hour.

Step-by-step explanation:

By proportion that is 5.4 / 3.6

= 1.5 per hour.

You and a friend are sharing a swing. You have swung 11 times while your friend has swung twice as many times. Which of the following is a good estimation of how many more times your friend has swung than you?

Answers

Answer:

10

Step-by-step explanation:

Can someone Identify the terms and coefficients;

8x-20y-10

Answers

Answer:

cooeficients are + 8,20 and 10

terms are x and y

A bus makes a stop at 2:30 letting off 12 people

Answers

What's the question?

could u take a pic of the question or something?

Find the intercepts of the equation.
4x + 7y = - 84

Answers

x-intercept is (-21,0)
y-intercept is (0,-12)

To find the x and y intercepts, we have to plug 0 into x and y respectively.

4(0) + 7y = -84

Simplify.

7y = -84

Divide both sides by 7

y = -12

The y-intercept = (0, -12)

4x + 7(0) = -84

Simplify.

4x = -84

Divide both sides by 4

x = -21

The x-intercept = (-21, 0)

Maggie's brother is 8 years younger than twice her age. The sum of their ages is 25.
How old is Maggie?
Maggie is
years old.

Answers

Answer:

the sum is 25 not 24?

Step-by-step explanation:

I bought three pencils costing 18 cents each. how much change did I get from $1​

Answers

Answer:

15 pencils

Step-by-step explanation:

18c/3

x/1

cross multiply then divide

Answer:

46 cents

Step-by-step explanation:

18 x 3 = 54

100 - 54 = 46

what is the answer? x+300=500 Will mark brainliest for high quality answers

Answers

Answer: x=  

3

500

​  

=166.667

Step-by-step explanation:

This deals with adding, subtracting and finding the least common multiple.

Hey there!

ANSWER: [tex]x=200[/tex]EXPLANATION:

[tex]x+300=500[/tex]

To solve this, we can just do 500 - 300.

[tex]500-300=200\\x=200(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Please answer ASAP my assigned due tomorrow WORTH 15 POINTS

Answers

Answer:

$7.74

Step-by-step explanation:

The school buys 350 books. These books, in total, costed the school $1137.50. The school wants to make a profit of $1500.

For the school to make a profit on its purchase, it needs to earn $1500 more than the price that they paid for the books.

This means that we can add these values together to get the minimum amount that the school needs to earn

[tex]1137.50+1500=2637.50[/tex]

Now that we have the minimum value, we can divide this by 350 in order to find the minimum price for each individual book.

[tex]\frac{2637.50}{350} =7.7357=7.74[/tex]

This means that the school needs to sell these books for at least $7.74

(... This fictional school is selling the books for more than double the price they paid for them...)

you can afford a $250 per month car payment. you've found a 3 year loan at 2% interest . how big of a loan can you afford

Answers

Answer:

interest = 250

time = 3 years

rate = 2%

we know

P = I*100/(R*T)

= 250*100/6

=4166.67

Step-by-step explanation:

A candy jar has 24 candies. One-third of the candies are chocolate of the leftover candies, half are gummy bears and the other half is skittles. How many skittles are in the jar

Answers

Answer:

8

Step-by-step explanation:

one third of 24 is 8 and then you have 16 leftover so you divide 16 by 2 and you will get 8

Please help please help

Answers

Answer:

1/9 is the correct answer Hope this helps!!

Step-by-step explanation:

Answer:

1/9 or .111111111111111

Step-by-step explanation:

Four sisters buy a total of 3 1/2 feet of ribbon . The sisters want to share the ribbon equally how many feet of ribbon will each sister receive? 3/8 ft , 1/4 ft,1/2 ft, 7/8 ft

Answers

Answer:

each sister receives (7/8) ft of ribbon

Step-by-step explanation:

Let's start by writing the total amount of ribbon in fraction form:

3  1/2  = 3 + (1/2) = (7/2)

Now, we need to perform the division: (7/2) divided by 4

in order to find how much ribbon each sister gets. We convert the division of fractions into a product to make the operation simpler. This is done by using the reciprocal of the number that divides (in our case the reciprocal of "4" which is: (1/4):

(7/2) divided 4 = (7/2) x (1/4)

and we multiply the fractions obtaining:

(7/8)

So, each sister receives (7/8) ft of ribbon

Maggie's brother is 10 years younger than three times her age. The sum of their ages is 50. How old is Maggie?

Maggie is _____ Years old

Answers

Answer:

9

Step-by-step explanation:

Answer: 15

Please see the picture attached!

I hope this helps! If it does, a brainliest would be much appreciated :)

If random variable X has a binomial distribution with n=15 and P(success) =p= 0.6, find the mean of X. That is, find E(X). Round to the whole number. Do not use decimals. Answer:

Answers

Answer:

9

Step-by-step explanation:

E(X) = np

E(X) = (15) (0.6)

E(X) = 9

The mean of the X is 9.

What is the mean of the binomial distribution?

The mean of a binomial distribution is the expected value (long-run average) of the number of successes in the given number of trials.

Formula for calculating mean of binomial distribution

[tex]\mu_{x} = n.p[/tex]

where,

[tex]\mu_{x}[/tex] is the mean of the binomial distribution

n is the number of trials

and, p is the probability of success

According to the given question.

We have

Number of trials, n = 15

Probability of success, p = 0.6

Therefore, the mean of X is given by

[tex]E(X) = 15(0.6)[/tex]

⇒ [tex]E(X) = 9[/tex]

Hence, the mean of the X is 9.

Find out more information about mean of the binomial distribution here:

https://brainly.com/question/15303817

#SPJ3

Which of the following can not be used to express the number 8?
eight below zero
positive eight
+8
eight more than zero

Answers

Answer:

A positive number or a number that is greater than zero

Step-by-step explanation:

The equation A=1250(1.03)^7 is being used to calculate the amount of money in a savings account. What does the 1.03 represent in this equation?

Answers

Answer:

The amount of Interest

Step-by-step explanation:

I'm 98% sure. It make sense because that how much interest ^7 you would multiply by 1250. And I've had questions like this. Hope this helps!

The rose garden’s boundary can easily be turned over to create a mirror image of the garden’s shape. If Vincent reflects the original rose garden across the x-axis, what will the coordinates of the rose garden’s vertices be after the reflection? Use the terms A', B', C', and D'.

Answers

Answer: A(3,-6), B(3,-3), C(4,-3), and D(4,-6)

Step-by-step explanation:

Because the rosegarden reflects across the x-axis, the x-coordinates of the vertices with remain the same. However, the sign of the vertices’ y-coordinations will change. The coordinates of the reflective figure will be A(3,-6), B(3,-3), C(4,-3), and D(4,-6).

*edmentum answer*

help me plz 50 points and ill give brainliest if you answer all​

Answers

Answer:

11) [tex]2x=-4[/tex]

Divide both sides by 2:

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

[tex]x=-2[/tex]

12) [tex]2^3\cdot \:2^1=2^{3+1}=2^4[/tex]

([tex]2^4=16)[/tex] if you wanted the exact value.

13) [tex]-3+10=x[/tex]

Switch sides:

[tex]x=-3+10[/tex]

Rearrange:

[tex]x=10-3[/tex]

[tex]x=7[/tex]

14) [tex]10^2-64[/tex]

[tex]10*10-64[/tex]

[tex]100-64[/tex]

[tex]36[/tex]

15) [tex]\sqrt{100}-5^2[/tex]

[tex]10-5^2[/tex]

[tex]10-5*5[/tex]

[tex]10-25[/tex]

[tex]-15[/tex]

16) [tex]\frac{1}{4}x=-10[/tex]

Multiply both sides by 4:

[tex]4\cdot \frac{1}{4}x=4\left(-10\right)[/tex]

[tex]x=-40[/tex]

17) [tex]\left(2^3\right)^2=2^{3*2}=2^6[/tex]

[tex](2^6=64)[/tex] if you wanted the exact value.

18) [tex]\left(2^3\right)\left(2^2\right)=2^{3+2}=2^5[/tex]

[tex](2^5=32)[/tex] if you wanted the exact value.

Bonus Question:

Terrorist attacks took place against the United States in September 11 2001.

This is named "September 11 attacks" and you can search more about it online.

Answer:

10. x = -2

12. 16

13. x = 7

14. 36

15. -15

16.  x = -40

17. 64

18. 32

Friday 9/11 The plane hijackings that struck the World Trade Center, the Pentagon, and a Pennsylvania field killed 2,977 people.

Step-by-step explanation:

Find x so the distance between the points (x,2) and (-1,-2) is [tex]2\sqrt{5}[/tex]

x =_____ , ______

Answers

Answer:

x = -5 , 3

Step-by-step explanation:

(x₁ , y₁) = (-1, -2)    & (x₂, y₂) = (x , 2)

[tex]Distance =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\\\sqrt{(x - [-1])^{2}+(2-[-2])^{2}}=2\sqrt{5}\\\\\sqrt{(x+1)^{2}+(2+2)^{2}}=2\sqrt{5}\\\\\sqrt{(x)^{2}+2x+1+(4)^{2}}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+1+4}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+5}=2\sqrt{5}[/tex]

Take square both sides,

x² + 2x + 5 = (2)²(√5)²               {(√5)² = √5*√5 = 5 }

x² + 2x +5 = 4 * 5

x² + 2x + 5 = 20

x² + 2x + 5 - 20 = 0

x² + 2x  -15 = 0

x² + 5x - 3x  - 5*3 = 0

x(x + 5) -3(x + 5)=0

(x + 5)(x - 3) = 0

x + 5 = 0     ; x - 3 = 0

x = -5        ;    x = 3

x = -5 , 3

At a school there are six lessons in a day.
In total, the six lessons last for five hours.

Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?

Answers

Answer:

the answer is about 50 minutes

Step-by-step explanation:

5 ÷ 6 = .83 which is about 50 minutes so each lesson is about 50mins

Martina and Karina each wrote a number pattern on a strip of paper for each other to figure out. Find the next two numbers in Martina's number pattern. Describe the pattern and explain how you found it. 2, 6, 10, 14, ...​

Answers

Answer:

18

Step-by-step explanation:

the pattern is adding 4

Ten less than 3 times a number is the same as the number plus 4.​

Answers

Step-by-step explanation:

10 - 3x = x-4

Collect like terms

10 +4 = x + 3x

14 = 4x

Divide both sides by 4

X = 14

4

= 7

2

= 6 1

2

Or

= 6.5

help help help help ​

Answers

Answer:

combine like terms

Step-by-step explanation:

I need to find the area below!
HELP!

Answers

Area of the square: 8x7 = 56
Base of triangle: 3+8+3 = 14
Height of triangle: 12-7 = 5
Area of triangle: 1/2(14)(5) = 35
Area of both: 56 + 35 = 91 in.

2. In a survey of 1000 citizens in Seattle, Washington, 570 said they would pay higher prices in order to reduce greenhouse emissions. City planners conclude that between 55-59% of all Seattle citizens would do so.

a. What is the sample here? And what is the population? (1pts)

b. Is this a descriptive or a statistical inference? Why?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Selected = 1000[/tex]

(a): Samples & Population

The samples are the selected data from an overall population.

In this case, the samples are the selected citizens in Seattle, Washington

Since 1000 citizens were selected

[tex]Samples = 1000[/tex]

Also, since the samples were selected from citizens in Seattle, Washington

Then the population are the citizens in Seattle, Washington

(b): Type of Statistics

From the question, we observe that the data was used to conclude that between 55% and 59% of the population would pay higher price.

This type of statistics is referred to as the inferential statistics.

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