Evaluate ( f/g)(x) if f(x) = 2x and g(x) = 3x – 2 when x = 2.

Answers

Answer 1

Answer:

1

Step-by-step explanation:

(f/g)(x)

= [tex]\frac{f(x)}{g(x)}[/tex]

= [tex]\frac{2x}{3x-2}[/tex] ← substitute x = 2 into the expression

= [tex]\frac{2(2)}{3(2)-2}[/tex]

= [tex]\frac{4}{6-2}[/tex]

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

= 1


Related Questions

2 procedimientos por favor

Answers

Answer:

184.8

Step-by-step explanation:

385/25×12

385÷25=15.4

15.4×12=184.8

answer part B and yeaa don’t mind my answers

Answers

Answer:

you are correct

Step-by-step explanation:

Student council raised $670 earlier this year. Then they held a raffle. In total they raised $1,350. Write an equation an solve for the amount raised at the raffle.

Answers

r= money collected at the raffle.
670+r= 1,350. Subtract 670 from each side of the equation to isolate the variable. Once you do that, you get r= $680.

Answer:

1,350-670=R

Step-by-step explanation:

R means Raffle

Ordering decimals
Order these numbers from least to greatest.
1.509, 1.4062, 1.6, 1.56

Answers

Answer:

1.4062, 1.509, 1.56, 1.6

Step-by-step explanation:

1509/1000, 14062/10000, 16/10, 156/100

15090, 14062, 16000, 15600

1.4062, 1.509, 1.56, 1.6

At​ noon, a tank contained 8 in. of water. After several​ hours, it contained 6 in. of water. What is the percent decrease of water in the​ tank?

Answers

Answer:

25%

Step-by-step explanation:

8-6=2

2/8=0.25

0.25×100=25%

which is the least per pound 5 pounds of chicken for 9.45,3 pounds for 5.97, or 1 pound for 2.05

Answers

5 pounds - 1.89

3 pounds - 1.99

1 pound - 2.05

In this case, the 5 pounds of chicken is the cheapest by exactly one dime.

please i need help on the question

Answers

Answer:

A

D

B

C

Step-by-step explanation:

We can simplify the expressions for easier comprehension:

A. 60.7 x 10^-1 = 6.07

B. 6.07 x 10^3 = 6,070

C. 0.67 x 10^4 = 6,700

D. 6.7 x 10^2 = 670

Now, we can order them in ascending order (least to greatest):

A

D

B

C

90.8 is 39% of what?

Answers

Answer:

232.820513

Step-by-step explanation:

Let the number you are looking for is x,

equation,

90.8 * x = 39

90.8/39 = 2.32820513

Now we multiply 100 because we are dealing with percentages so,

2.32820513 * 100 = 232.820513

So, the answer is 232.820513

Hope this helps! Good luck to everyone!

Pre college need withh

Answers

Answer:

Step-by-step explanation:

f(9) = |9 + 9| = |18| = 18

f(-4) = |-4 + 9| = |5| = 5

f(0) = |0 + 9| = |9| = 9

pretty boring examples as you're always taking the absolute value of a positive number.

what do you suppose f(-12) is???

f(-12) = |-12 + 9| = |-3| = 3

Work out the missing percentages in these problems. See if you can spot the impossible problem which cannot be answered!​

Answers

Answer: please read the explanation :)

Step-by-step explanation:

Make the precent a whole number then subtract it form 100 then the answer turn it to a percent :)

1) 100 - 65 = 35 = 35% of boys in the class

2) 100 - 27 = 63 = 63% of skirts that are not red

3) 100 - 78 = 22 = 22% non swimmers

4) 100 - 43 = 57 = 57% what he got wrong

5) 100 - 45+42 = 13 = 13% the games they tied

6) 100 - 28+35 = 37 = 37% who chose football

7) 100 - 38 = 62 = 62% are dogs

8) 100 -35 = 65 = 65% scored over average

9) 100 -12 = 88 = 88% percent

10) 100 - 6 = 94 = 94% can ride the bike

Hope that helps if you need more explanation please send me :)

From a horintal lengh of 101" and a rise of 13 inches over that lengh what is the angle of rise

Answers

Answer: Approximately 7.33 degrees

Work Shown:

tan(angle) = opposite/adjacent

tan(x) = 13/101

x = arctan(13/101)

x = 7.334379 approximately

x = 7.33

An elliptical mirror measures 20 inches wide and 24 inches high. The ellipse is centered at (0, 60) on a coordinate plane, where units are in inches. Which equation represents the mirror?

Answers

The height and width of the outline (perimeter) of the mirror, as well as the

center in relation to the plane of the edges are given.

[tex]\displaystyle The \ mirror \ can \ be \ \mathbf{ represented} \ by \ the \ equation; \underline{\frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Reasons:

Width of the elliptical mirror = 20 inches

Height of the elliptical mirror = 24 inches

Center of the ellipse = (0, 60)

The equation of an ellipse is;  [tex]\displaystyle \mathbf{\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2}} = 1[/tex]

Where;

(h, k) = Coordinates of the center;

a = Semi major axis

b = Semi minor axis

In the mirror, we have;

(h, k) = (0, 60)

a = 24 ÷ 2 = 12

b = 20 ÷ 2 = 10

Which gives;

[tex]\displaystyle \frac{(x - 0)^2}{10^2} + \frac{(y - 60)^2}{12^2} = \frac{x ^2}{100} + \frac{(y - 60)^2}{144} = \mathbf{\frac{(y - 60)^2}{144} + \frac{x^2}{100}} = 1[/tex]

Therefore;

[tex]\displaystyle The \ equation \ that \ represent \ the \ mirror \ is; \underline{ \frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Learn more about the equation of an ellipse here:

https://brainly.com/question/1306753

What is the volume of a cylinder with a height of 13 and radius 6?

Answers

1470.27

v = pi r^2 (H)

v = 3.14 (6^2) (13)

v = 3.14 (36) (13)

v = 1470.27 (about)

Answer:

V = 1470

Step-by-step explanation:

V = πr²h

V = (3.14)(6²)(13)

V = (3.14)(36)(13)

V = 1469.52

Solve the |4X -5|= |-X +5|

Answers

Recall the definition of absolute value:

[tex]|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}[/tex]

Then we have a few cases to consider:

• If [tex]4x-5\ge0[/tex] and [tex]-x+5\ge0[/tex], the equation simplifies to

[tex]4x-5 = -x+5 \implies 5x=10 \implies \boxed{x=2}[/tex]

• If [tex]4x-5<0[/tex] and [tex]-x+5\ge0[/tex], we get

[tex]-(4x-5) = -x + 5 \implies -3x = 0 \implies \boxed{x=0}[/tex]

• If [tex]4x-5\ge0[/tex] and [tex]-x+5<0[/tex], then

[tex]4x-5 = -(-x+5) \implies 3x=0 \implies x=0[/tex]

but we already have this solution.

• If [tex]4x-5<0[/tex] and [tex]-x+5<0[/tex], then

[tex]-(4x-5) = -(-x+5) \implies -5x = -10 \implies x=2[/tex]

which we also already found.

Help help math math math

Answers

Answer:

113

Step-by-step explanation:

The supplement of angle 3 is congruent to 67, because they are corresponding angles. After you subtract the supplement from 180, you should get angle 3

180-67=113

Answer:

∠3 measures 113°

Step-by-step explanation:

These are consecutive interior angles. It's difficult to explain in words because none of the lines are marked in any way, but I marked the angles in the attached image. Because both downward facing lines are parallel, both sets of corresponding red and blue angles are congruent.

∠3 corresponds to the angle supplementary to the 67° angle. Supplementary angles add up to 180°, so ∠3 and 67° also have to add up to 180°. Hopefully my image makes that a little more clear.

[tex]x+67=180\\x=113[/tex]

∠3 measures 113°

HELP
Lyndie is making reduced copies of a photo that measures 25 centimeters in height. She sets the copy machine to an 80% size
reduction.

PART A
Write a percent equation that represents
the relationship of the height of the first
copy to the height of the original photo.

PART B
Lyndie wants to make another copy that
will have a height of 17 cm. The copy
machine settings increase or decrease in
increments of 5%. Which photo should she
make her copy from, the original or her
first copy? Explain.

Answers

Answer: 5+ba*7= 88

Step-by-step explanation:

Estimate the distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour. Round your answer to the nearest mile.

Answers

Answer:

163 miles

Step-by-step explanation:

set up a ratio based on 49 miles in 1 hour (60 minutes):

let 'd' = distance in 3hrs, 20 min

3hrs, 20 min = 200 minutes

49/60 = d/200

cross-multiply:

60d = 9800

d = 163.3

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

The speed of the vehicle is 49 miles per hour. And the time is 3 hours 20 minutes.

Convert the time completely hours. Then we have

T = 3 + 20/60

T = 3.33 hours

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be

D = 49 x 3.33

D = 163.33 miles

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

A restaurant worker earns a set amount per hour from their employer. They also receive tips from customers. Their
earnings most closely rese]nble those of which of the following?
a. An employee working on straight commission
An employee working on commission plus salary
An employee working on a piece-rate basis
An employee working on a fixed salary
b.
C
d.
Please select the best answer from the choices provided
Ο Α
B
оооо
D
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

an employee working on commission plus salary.

Step-by-step explanation:

salary is the hourly rate

commission is tips

Answer:

B - An employee working on commission plus salary

Step-by-step explanation:

What is 0.25 as a percentage

Answers

Answer:

25% that is ur answer

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Have a great day or night!

Which sign makes the statement true?
A. <
B. >
C. =

Answers

It is B correct please
B makes the statement true

Look at the graph below. What is the y-intercept?

Answers

Answer:

- 2 is the answer:)

Step-by-step explanation:

Wherever the line crosses on the y thats the answer

A wall map of the United States has a distance of 8.5 in. between Memphis and Denver, two cities that are actually 1040 mi apart. The actual distance between St. Louis and Des Moines is 333 mi. How far apart are St. Louis and Des Moines on the map?

Answers

Answer:

2.72 inches

Step-by-step explanation:

1040/8.5=122.35

1 inch on the map = 122.35 miles actual distance

333/122.35=2.72

HELLP ME PLS QUICK



Oscar and Kim have $22.00 each to spend at a book fair, where all students receive a 30% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Oscar takes 30% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount. Kim takes 70% of the normal purchase price and then computes 110% of the reduced price. Is Oscar correct? Is Kim correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.




HELLLP ME PLS QUICK

Answers

Answer:

Both Oscar and Kim will have enough to purchase the book.

Step-by-step explanation:

Oscar takes 30% of the normal price and subtracts it from the normal price. Out of 100% price he takes 30% so the result is: 100-30%= 70% of the normal price. Oscar's first step has the same result as Kim.

Oscar takes 10% of the discounted price (70%) and adds it back. The price will become 70% + 10%*70%= 77% of original price. Kim multiplies the discounted price with 110%, so the price will be: 70% * 110%= 77%. Both also give the same result.

The final price is 77% of the original, it will be: $28.50* 77%= $21.945

Oscar :

28.50 - 0.30(28.50) = 28.50 - 8.55 = 19.95

0.10(19.95) + 19.95 = 2 + 19.95 = 21.95

Kim :

0.7(28.50) = 19.95

1.10(19.95) = 21.95

Answer:

Both Oscar and Kim got the same amount and they both had enough money to buy the book.

Given that,

Oscar and Kim have money to spend at a book fair = $22

Discount for all the students = 30% = 0.30

They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax.

Book normally sells for = $ 28.50 + 10% sales tax

According to the question,

Oscar takes 30% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount.

28.50 - 0.30(28.50) = 28.50 - 8.55 = 19.95

0.10(19.95) + 19.95 = 2 + 19.95 = $21.95

Kim takes 70% = 0.7 of the normal purchase price and then computes 110% = 1.10 of the reduced price.

0.7(28.50) = 19.95

1.10(19.95) = $21.95

Hence, Both Oscar and Kim got the same amount and they both had enough money to buy the book.

Step-by-step explanation:

HELP PLEASE I'll give Brainly

Answers

Answer:

A is a 2 in the tenth place of the difference

Solve for g. Make sure to use scrap paper to show your work.

( 144 + 6 x 8 ) ÷ 3 = g

192
64
48

Answers

the answer is 64 multiplication can be done with calculator or normal

If a line crosses the y-axis at (0, -3), what is the y-intercept?

Answers

Answer:

Isnt it -3?

Step-by-step explanation:

(3x+14)= (7x+4)
Find X

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=5/2

Decimal Form:

x=2.5

Mixed Number Form:

x=2 1/2

Step-by-step explanation:

x= 5/2 or the alternative form is x= 2 1/2 and/or x= 2.5

Pls Find the value of x

Answers

[tex]x + 104 + 28 = 180 \\ (140 + 28 = 132) \\ x = 132[/tex]

[tex]\sf\longmapsto x + 104 + 28 = 180[/tex]

[tex]\sf\longmapsto x = (104 + 28) = 132[/tex]

[tex]\sf\longmapsto x = 132[/tex]

For which value of x is inequality 3(1+x)<+6true?

Answers

Answer: For in the inequality to be true, X must be less than or equal to 1. That represented as an in equality is X < 1.

x<1 true

Step-by-step explanation:

3(1+x)<+6= 3×1+3×X<+6=3+3x<6 then3x=6-3 solution 3x=3 devide by 3 both sides the answer is x=1 hence x<1 verified

HELP PLEASEE
What is the range of the graph below?

Answers

Answer:

d

Step-by-step explanation:

range is how far the graph goes from bottom to top.

The answer is d hope it helps.
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