The numbers of students who spend Sundays doing homework, visiting with friends, and/or working

The dimensions of a pet carrier is 20 inches

Sergeu [11.5K]

Answer:

2702.5 inches cubed

Step-by-step explanation:

$20$ x $11\frac{3}{4}$ x $11\frac{1}{2}$ = 2702.5

3 0

2 years ago

Which pair of funtions is not a pair of inverse functions? please help!!

antiseptic1488 [7]

Answer:

$f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Step-by-step explanation:

we know that

To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.

we will proceed to verify each case to determine the solution of the problem

case A) $f(x)=\frac{x+1}{6} , g(x)=6x-1$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y+1}{6}$

Isolate the variable y

$6x=y+1$

$y=6x-1$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=6x-1$

therefore

f(x) and g(x) are inverse functions

case B) $f(x)=\frac{x-4}{19} , g(x)=19x+4$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y-4}{19}$

Isolate the variable y

$19x=y-4$

$y=19x+4$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=19x+4$

therefore

f(x) and g(x) are inverse functions

case C) $f(x)=x^{5}, g(x)=\sqrt[5]{x}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=y^{5}$

Isolate the variable y

fifth root both members

$y=\sqrt[5]{x}$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=\sqrt[5]{x}$

therefore

f(x) and g(x) are inverse functions

case D) $f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y}{y+20}$

Isolate the variable y

$x(y+20)=y$

$xy+20x=y$

$y-xy=20x$

$y(1-x)=20x$

$y=20x/(1-x)$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=20x/(1-x)$

$\frac{20x}{1-x}\neq \frac{20x}{x-1}$

therefore

f(x) and g(x) is not a pair of inverse functions

7 0

3 years ago

Read 2 more answers

35 2/9 divided 5 8/9

weqwewe [10]

Answer:

53/405

Step-by-step explanation:

5 0

3 years ago

Edmund purchased a computer for $1,800 on a payment plan (month zero). Three months after he purchased the computer, his balance

trapecia [35]

Answer:

Well I can't make a table but I can explain the answer.

Step-by-step explanation:

So you have $1,800 on a payment plan. In three months, the balance is 1,350. So 1,800-1,350=450. This means he paid $450 in three months. 450/3 is 150. He pays $150 a month. Then 2 months later, (5 months after purchase) he has balance is $1,050. 1,350-1,050=300. 300/2=150. Further evidence of the fact that he pays 150 dollars a month. This means that the 6th month, he will have $900 dollars left on the payment. 7th month... $850, 8th month... $600, 9th month... $450, 10th month... 300 dollars, 11th month... 150, and 12 month he will have paid off all of his computer. Hope it helps, sorry it is so long. Have a great day! :D

6 0

3 years ago

Any one can help with this Venn Diagram question?.Please note that there is an another language, ignore except if you can unders

zloy xaker [14]

Answer:

(i) 30

(ii) 8

Step-by-step explanation:

Start by drawing 3 rings for the Venn diagram. Each ring represents either Audi, BMW, or Citroën.

Next, add the information provided in the problem statement. We know that 20 choose BMW only. Another 20 choose Citroën only.

We know the number who choose all 3 is the same as the number that choose BMW and Citroën, but not Audi. We'll call this number x.

Similarly, we know that the number who choose all 3 is half of those choose Audi and BMW, but not Citroën. So we'll say that number is 2x.

We know the total number of Audi votes is 48, the total number of BMW votes is 36, and the total number of Citroën votes is 34.

Finally, we know the total number of voters is 100, including those who voted for no favorites (we'll call that number n).

We know that BMW got 36 votes, so:

20 + x + x + 2x = 36

20 + 4x = 36

4x = 16

x = 4

We know that Citroën got 34 votes, so:

20 + x + x + z = 34

20 + 4 + 4 + z = 34

28 + z = 34

z = 6

We know that Audi got 48 votes:

y + 2x + x + z = 48

y + 2(4) + 4 + 6 = 48

y + 18 = 48

y = 30

Finally, we know that the total number of voters is 100.

20 + 20 + x + x + 2x + y + z + n = 100

20 + 20 + 4 + 4 + 2(4) + 30 + 6 + n = 100

92 + n = 100

n = 8

8 0

3 years ago