Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x). Question 1 options:A. (f – g)(x) = –x2 –2x + 2 B.(f – g)(x) = x2+ 2x – 4 C. (f – g)(x) = –x2+ 4x – 6 D. (f – g)(x) = x2+ 4x + 6

Answers

Answer 1

Answer:

A

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\=(x-2)-(x^2+3x-4)\\=x-2-x^2-3x+4\\=-x^2-4x+2\\[/tex]

Therefore, answer is A.

Answer 2

Answer:

Step-by-step explanation:

Algebra II: Part 2 James Madison

Your quiz has been submitted successfully. 100%

Question 1  5 / 5 points

Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x).

A: (f – g)(x) = –x2 –2x + 2

Question 2  5 / 5 points

Given that f(x) = x + 4 and g(x) = x + 7, find (g – f)(x).

A: (g – f)(x) = 3

Question 3  5 / 5 points

Let f(x) = 4x – 1 and g(x) = 2x. Find (f ∘ g)(–5).

A:  (f ∘ g)( – 5) = –41

Question 4  5 / 5 points

Which of the following is the inverse relation of the set below?

A:  {(3,–2), (–4,7), (7,3), (4,8)}

Question 5  5 / 5 points

What is the inverse of f(x) = 2x2 –4?

A:  y = ±x+24−−−√

Question 6  5 / 5 points

Which of the following function pairs are inverses?

A: f(x) = 2x – 3 and g(x) =x+32

Question 7  5 / 5 points

Which of the following is true?

A:  The horizontal line test is used to determine if a function's inverse will be a function.

Question 8  5 / 5 points

Evaluate81−−√4

A: 3

Question 9  5 / 5 points

Evaluate 1251⁄3.

A: 5

Question 10  5 / 5 points

Use the properties of exponents to simplify the expression 2(x13)65⋅y23.

A: 2x25⋅y23

Question 11  5 / 5 points

A population culture begins with 15 strands of bacteria and then doubles every 4 hours. This can be modeled as 15(2)t4, where t is time in hours. How many strands of bacteria are present at 12 hours?

A: 120 strands of bacteria

Question 12  5 / 5 points

Simplify 36√3√.

A: 23–√

Question 13  5 / 5 points

Simplify 73–√+12−−√−75−−√.

A: 43–√

Question 14  5 / 5 points

Simplify 2–√×22–√.

A: 4

Question 15  5 / 5 points

Simplify 83−−√.

A: 26√3

Question 16  5 / 5 points

Select the equation of the function shown in the graph.

A: f(x)=2x−−√4−5

Question 17  5 / 5 points

Identify the graph of f(x)=x−2−−−−√3−3.

t would not allow me to add the graft. But it is the answer with the line that goes all the way across the graft starting at -10 thru -4.5 and up to 10. The line looks like an "S"

Question 18  5 / 5 points

Identify the graph of f(x)=6x−−√4−1.

It would not allow me to add the graft. But it is -1 up to the right to about 9.5. Document uploaded

Question 19  5 / 5 points

Select the equation of the function shown in the graph.

A: f(x)=x−1−−−−√5+5

Question 20  5 / 5 points

Solve the inequality x+2−−−−√4>2.

A: x>14

Question 21  5 / 5 points

Solve the inequality −2x−−−−√−1<3.

A: −8<x≤0

Question 22  5 / 5 points

Solve the equation 2x−1−−−−−√=5.

A: x = 13

Question 23  5 / 5 points

Solve the equation x+1−−−−√+5=3.

A: There is no solution.

Question 24  5 / 5 points

Given thatf(x)=4x3x+3−−−−−√ and g(x)=2x+1−−−−√, find (fg)(x).

A: 2x3–√


Related Questions

AABC~ AQRS
Find the missing side length, m.
AR
В B.
h 7.2.
6
10
12.
А.
"C с
3
m
S
ol

Answers

Find the scale factor then multiply 3 by scale factor to find m. Scale factor is found by dividing larger side by smaller side. In this example, divide 10 by 6. (10 / 6 = 1.66666...) This means the larger triangle is 1.6x bigger than the smaller one. Then multiply 3 by 1.6666.. to find m. Hope this helps! :)


Btw your answer would be m = 5 but I didn’t want to give that away right away.

how many diagonals does a nanogon have​

Answers

Answer:

nanogon have 27 diagnals

A nonagon has 27 diagonals

After a party there were 2 2/3 pepperoni pizzas and 1 5/6 cheese how many pizzas are left?

Answers

Answer:

4.5

Step-by-step explanation:

2+1=3

2/3+5/6=1.5

3+1.5=4.5

what is 3х - 4<-19=​

Answers

Answer:

x= -5

Step-by-step explanation:

3х - 4<-19=

add +4 to both sides

3x<-15

divide 3 on both sides

x<-5

might have to rewrite the final answer

You move down 6 units and left 9 units. You end at (-5, -3). Where did you start?

Answers

(4, 3) i think lol goodluck

What is the percent of change from 10 to 3?

Answers

Answer:

Convert the fraction to a decimal, then multiply by 100100.

−70%

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

There is -70% change when value change from 10 to 3.

What is percentage?

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

The original value is 10,

The value is change to 3

The difference of changed value and original value =  3 - 10 = -7

The percentage of change = (-7/10)x100

                                             = -70%

The change in percent is -70%, negative sign shows that value decreases.

To know more about Percentage on:

https://brainly.com/question/24120406

#SPJ2

What is 1.3*10^4 in standard notation
A. 1.3^4
B. 13,000
C. 0.00013
D. 1300

Answers

Answer:

13000

Step-by-step explanation:

If you go 4 steps forward at first, it is 13. Add three zeros and then it is at 10^4 and 13000

One zero added is one power in scientific notation

Answer:

C. 13,000

Step-by-step explanation:

You do 10x10x10x10 and get 10,000 and then multiply that by 1.3 or move the decimal point do the right 4 times for the 4 zeros

Part B: What length of rope would enable the goat to eat 30 square yards of
grass? Show all your reasoning.
omg pls help
me

Answers

Refer to question: https://brainly.com/question/18999872

Answer:

9.42 yd²3.57 yd

Step-by-step explanation:

Part A

The area of circle with radius of 2 yd (the length of the rope) is:

A = π*r² = 3.14*2² = 12.56 yd²

Since 1/4 of the circle is occupied by the shed, the area of the grass is:

12.56*3/4 = 9.42 yd²

Part B

Let the area be 30 yd², finding the r as per above formula:

3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 yd

Helppppppp
I need to find the area for this

Answers

Answer:

126

Step-by-step explanation:

70+56

A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is pi/6, and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?

Answers

Answer:

0.533 miles/min

Step-by-step explanation:

Calculate how fast  the balloon is rising at the moment : dy /dt

location from the lift-off point = 4 miles

angle between the observer's line-of-sight and the horizontal ( ∅ )  = [tex]\frac{\pi }{6}[/tex]

d∅ / dt = 0.1 rad/min

tan ∅ = y / 4

derivate

sec^2 ∅ . d∅ / dt  = 1/4 . dy/dt

= sec^2 [tex]\frac{\pi }{6}[/tex] . 0.1 = 1/4 . dy/dt

= ( sec^2 0.5238 * 0.1 ) * 4 = dy/dt

dy/dt = 8 / 15  miles/min

Scores on a standard IQ test are normally distributed with a mean of 100 and a standard deviation of 15. To the nearest integer value, how high must you IQ be to fall within the top 5% of scores.

Answers

Answer:

25

Step-by-step explanation:

because I go it wrong and the quiz told me the answer was 25. Pog. I am just as confused.

Please help me and explain this.

Answers

You are supposed to answer where the function, h(x), is decreasing. In other words, where is “y” decreasing.

In this graph, I believe it would be from (-3,4)U(8,infinity). I hope this helps.

40 coins = 7.75 how many are quarters

Answers

31 quarters this is the answer to your question

Reflect the figure over the line y = -1/2x +1.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The line of reflection has a slope of -1/2, so each image point will be on a line of slope 2 through the corresponding pre-image point. It may be easiest to count the grid squares between the pre-image point and the line, then again from the line to the location of the image point. Those distances will be the same.

The reflected image is shown in the first attachment.

__

If you want to do this algebraically, the formulas for finding the reflected points are given in the second attachment. For the given line, these become ...

  (x, y) ⇒ (4/5 + 3/5x -4/5y, 8/5 - 4/5x - 3/5y)

Example:

  C(-3, -5) ⇒ ((4 +3(-3) -4(-5))/5, (8 -4(-3) -3(-5))/5) = (15/5, 35/5) = C'(3, 7)

There is a playground behind Jayden’s school where kids go outside for recess. The playground is 85 feet wide and 236 feet long. Jayden is curious if the playground has an area of more or less than 20,000 square feet. Does it? Show and explain how you know.

Answers

Answer:

Yes

Step-by-step explanation:

A = L x W

A = 236 x 85

A = 20,060

20,060 is more than 20,000 so yes

Find the number of miles per hour in each of the following cases,
100 miles per hour 200 miles per hour 900 miles per hour
000 miles in 9 hours
9000 miles in 00 hours
100 miles in 5 hours

Answers

100 miles

100 miles

100 miles

100 miles 100 miles

100 miles ok?

One pound of beef costs $4.25. One pound of turkey cost $2.85. How much more does 1.25 pounds of the beef cost than 1.25 pounds of turkey?

Answers

Answer: $1.75

Step-by-step explanation:

Increase 1.25 by 4.25

5.31

Presently increase 1.25 by 2.85

3.56

Take away 3.56 from 5.31

1.75

Answer:

Beef= 5.75

Turkey=4.35

Beef cost is $1.40 more than turkey.

Step-by-step explanation:

(-4)100x(-4)20 answer in exponential form please ​

Answers

Answer:

the answer is (-4)^120

A meal at a restaurant cost $34.50, before tip. You decide to leave the server an 18% tip. What is your total bill?

Answers

the tip is $6.21

with that being said, 34.50 + 6.21 = 40.71

the total cost is $40.71

Find the domain of the function. g(x)=√2+x Write your answer using interval notation.

Answers

Answer:

2+x=O

x= -2

x€ Real number [-2+ infinite )

Answer:

[tex]x\geq -2[/tex]

Step-by-step explanation:

[tex]g(x)=\sqrt{2+x}[/tex]

We know we can only take the square root of a number greater than or equal to 0.

[tex]2+x\geq 0\\x\geq -2[/tex]

Please graph this and if you do I'll give you brainliest (If you just say deijos or not enough info I will report and you may get banned *You have been warned* Please help though if you can.

Answers

Answer:

[tex]use \: the \: following \: ponts \: to \: graph \\ \: the \: equation \to \\ \underline{\boxed{( - 1, \: - 9)...... \boxed{is \: the \: first \: point}}} \\ \underline{\boxed{( 1, \: 0)...... \boxed{is \: the \: second \: point}}} \\ \underline{\boxed{(2, \: 4)...... \boxed{is \: the \: third \: point}}} [/tex]

Step-by-step explanation:

[tex]when \: \boxed{f(x) = 3x - 5} : \: if \: \boxed{x \leqslant - 1} \\then \to \: \boxed{x = - 1} \\ f(x) = 3( - 1) - 5 \\ f(x) = - 4 - 5 \\ f(x) = - 9 \: ......... \: hence \to \\ \underline{\boxed{( - 1, \: - 9)...... \boxed{is \: the \: first \: point}}} \\. \\ . \\ . \\ when \: \boxed{f(x) = - 2x + 3} : \: if \: \boxed{ - 1 < x < 4} \\then \to \: \boxed{x = 1} \\ f(x) = - 2( 1) + 3 \\ f(x) = - 3 + 3 \\ f(x) = 0 \: ......... \: hence \to \\ \underline{\boxed{( 1, \: 0)...... \boxed{is \: the \: second \: point}}} \\ . \\ . \\ . \\ when \: \boxed{f(x) = 2 } : \: if \: \boxed{ \geqslant 4} \\then \to \: \boxed{x = 4} \\ f(x) = 2 \: ......... \: hence \to \\ \underline{\boxed{(2, \: 4)...... \boxed{is \: the \: third \: point}}} [/tex]

helpp plssssss i need

Answers

the answer to your question is 3m^4

Answer:

3m^4

Step-by-step explanation:

x^y

x is the base and y is the exponent

Write the equation in standard form using integers
y= -4/5x -6

Answers

Answer:

3x+5y=10 hope this helped !!

workout the value of (10^4)^2

Answers

Answer: the answer is 100000000

Step-by-step explanation: that is that because 10 to the 4th power is 10000 times 10000 is 100000000

Answer is : 100000000

ne serving of ice cream has 140 calories and a mass of 60 grams.



How many calories are in 15 grams of ice cream?

Answers

Answer:

35 Calories

Step-by-step explanation:

15 is 1/4 of 60

60/15 = 4

140/4 = 35

Since 15 is 1/4 the size of 60, the number of calories will be 1/4 the amount as well. That is why you divide 140 by 4 to find the total calories for the mass of 15.

Write the slope intercept form of the equation of the line through the given point plz

Answers

I think it’s y=8x-13

Please please help me get the anwser I just want the anwser I got a 33.3 on my last attempt and this is my last please :( I will literally give you 87 points I need help ASAP please I set it to 87 points please take Time and anwser correctly or I will report please :( I only have 11/6/2020

Answers

Answer: A

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
a. Identify the coordinates of the x- and y- intercepts for the depreciation equation.
b. Determine the slope of the depreciation.
c. Write the straight-line depreciation equation that models this situation.

Answers

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. [tex]m = -\frac{23350}{13}[/tex]

c. [tex]y = -\frac{23350}{13}x + 23350[/tex]

Step-by-step explanation:

Given

[tex]Years = 13[/tex]

[tex]Total\ depreciation = \$23350[/tex]

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

[tex]m = \frac{23350}{13}[/tex]

Because it is depreciation, it means the slope represents a deduction.

So,

[tex]m = -\frac{23350}{13}[/tex]

Solving (c): The straight line equation

The general format of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

[tex]b = y\ intercept[/tex]

In (a), we have that:

[tex]y\ intercept = 23350[/tex]

In (b), we have that:

[tex]Slope\ (m) = -\frac{23350}{13}[/tex]

Substitute these values in [tex]y = mx + b[/tex]

[tex]y = -\frac{23350}{13}x + 23350[/tex]

Hence, the depreciation equation is: [tex]y = -\frac{23350}{13}x + 23350[/tex]

identify two factors that have a product of 1 7/8​

Answers

The answer will be 17 & 8

Which of the following is a factor of xy + 3y − 7x − 21?

Group of answer choices

5

x + 3

x2 − 3x + 9

All of the above

Answers

Answer:

x + 3

Step-by-step explanation:

Other Questions
Pls help Im doing a testSubtract.(22 + 43x + 10) - (-102 5x+10)AnswersA. -92? + 38x + 20B. 11x2 + 38%C. 11x2 + 483D. -922 + 487 Carbon dioxide consists of a central carbon atom with an oxygen atom on each side. Draw a model of the molecule formed by putting lines between the atoms to represent bonds so that each atom has the correct number of bonds. Last month you had 8 wins while playing fortnight. This month you had 5. What was your percent of change? I need work shown. contains good bacteria that helps remove wastes Choose the answer that best describes the order of the life cycle of a large star.gas clouds, star ignites, hydrogen depleted, red supergiant, super nova, neutron stargas clouds, star ignites, neutron star, hydrogen depleted, red giant supernovagas clouds, nuclear reaction, hydrogen depleted, red giant white dwarf Please! I need help ASAP! jackson usually makes $250 per week working at a grocery store. Last week he made 60% more than usual. This week Jackson hopes to make 7/8 of what he made last week. how much money does jackson hope to make this week? A train leaves LA at 2:00 pm and heads north at 50 mph. If the next train leaves the station three hours later and heads north at 60 mph, at what time will the second train catch up to the first train? what is the best partial quotient to 296dividedby4 How was the Catholic Church important as a political (government), intellectual (schools), and a financial (economic) institution. The cheerleaders at City High make their ownmegaphones by cutting off the small end of acone made from heavy paper. If the small end ofthe megaphone is to have a radius of 2.5 cm,what should be the height of the cone that is cutoff?2.5 cm60 cm Compare and contrast what happens to an object's motion when balanced orunbalanced forces act on that object. what does the phrase"You cant lead anyone if you cant lead yourself!"mean Combine like terms to write a simplified expression: 12p + 11 - 5p + 3 how do you keep word from trying to capitalize every isolated letter "i" Sup nerds. Do this for me or I'm gonna get screamed at by my mom also show all the work What is the best description of Dave and Sol-leeks, based on this excerpt?They are difficult to please.They are cheerful and energetic.They are mature and experienced.They are dedicated to their tasks. PLEASE HELP WILL MARK BRAINLIEST IF CORRECTRobyn has been working out five days a week for the past six months. She is now planning to take a month-long break from the gym. Which training principle should Robyn consider before taking this break?A. balanceB. overloadC. reversibilityD. specificity Families where one or more members are citizens and one or more members are non-citizens are called: What might happen to a cell if its cell membrane fails to function properly?