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3 years ago

A piece of fabric is randomly selected from a stack of fabric that contains 80 striped, 40 solid, and 60 polka-dotted pieces.

Mathematics

2 answers:

Lynna [10]3 years ago

7 0

No, I just took the test,

The answer would be

C. P(solid)22

worty [1.4K]3 years ago

5 0

Answer: p solid 22

Step-by-step explanation: took the test

migirigi(:

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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

2 years ago

Read 2 more answers

A plane left Atlanta at 4:50 and arrived at Boston in 3 hours and 15 minutes. When did it arrive in Boston?

sashaice [31]

Answer: 8:05 pm

Step-by-step explanation: 4 hours + 3 hours = 7 hours

50 min + 15 min = 1 hour, 5 min

add those together

watch out for time zones when crossing

4 0

2 years ago

Write a rule for the nth term of the sequence. Then find a20. Assume the first termis a₁. 86, 79, 72, 65…

hodyreva [135]

Answer:

an = a(n-1) - 7

Step-by-step explanation:

the second term is smaller than the first term 7.

a20 = a19 - 7

a19 = a18 - 7

=> a20 = (a18 - 7) - 7

Then you can accumalate until a1

-> a20 = a1 - 19*7 = 86 - 19*7 = -47

5 0

2 years ago

You have a $2,000 credit card debt, and you plan to pay it off through monthly payments of $50. If you are being charged 15% int

Luba_88 [7]

You can do this fairly easily on Excel. (its 56)

3 0

3 years ago

Jean junction is selling jeans at 15% off the regular price. The regular price is 25.00 per pair. What is the discount amount?

irga5000 [103]

Answer:

the discount is 3.75 and that subtracted is 22.25

Step-by-step explanation:

25-3.75=22.25

5 0

2 years ago