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3 years ago

Plz help ASAP 20 points 5. In circle A, the length of arc BC is 20π units.

Mathematics

1 answer:

Verdich [7]3 years ago

5 0

Answer: i think the answer is B or C sorry

Step-by-step explanation:

have a nice day

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A utility bill shows that a household used ed d 2001 gallons of water in a 5 day period. What was the average amount of water us

Paraphin [41]

2001 gallons used in 5 days, so the average for one day is 2001/5=400.2 gallons.

5 0

3 years ago

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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

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

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

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

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

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

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

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

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

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Evaluate a−b+3c when .a=4, b=−2, and c=3. a−b+3c =4−( )+3∙ =4+ + =

igomit [66]

Answer:

Step-by-step explanation:

4-(-2)+3(3)

4+2+9

5 0

3 years ago

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The points (-10, 0) and (-5, 3) fall on a particular line. What is it’s equation in slope-intercept form?

yaroslaw [1]

Answer:

y = 3/5x + 6

Step-by-step explanation:

When given two points, it is convenient to start with the 2-point form of the equation of a line, then rearrange it to the form needed for the problem. For points (x1, y1) and (x2, y2), the equation is ...

y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given point coordinates, this is ...

y = (3 -0)/(-5 -(-10))·(x -(-10)) + 0

y = 3/5(x +10)

y = (3/5)x + 6

5 0

3 years ago

The value of a painting bought for $3,800 increases 2.6% each year. Use a graph to predict the value of the painting in 5 years.

Vinvika [58]

The value of the painting in 5 years is $4,320.36

<h3>Expoential functions</h3>

The standard exponential function is expressed as:

A = P(1+r)^t

Given the following

P = $3800
r = 2.6% = 0.026
t = 5 years

Substitute into the formula

A = 3800(1+0.026)^5
A = 3800(1.026)^5
A = 4,320.36

Hence the value of the painting in 5 years is $4,320.36

Learn more on exponential function here: brainly.com/question/12940982

5 0

2 years ago