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Morgarella [4.7K]

3 years ago

9

Of the last 15 contestants on a game show, 3 won a prize. Considering this data, how many of the next 20 contestants would you e

xpect to win a prize show work and explain how you got the answer

1 answer:

sweet [91]3 years ago

3 0

The answer is 4. I found out that 3 is 20% of 15, then I just found out what 20% of 20 is and it's 4.

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The faces of a triangular pyramid have a base of 5 cm and height of 11 cm. What is the lateral area of the pyramid?

horrorfan [7]

I think 55 because you would multiply 11×5

7 0

3 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

<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

Read 2 more answers

What the solution 2(4+2x)≥5x+5

olga nikolaevna [1]

Answer:

x ≤ 3

Step-by-step explanation:

2(4+2x) ≥ 5x+5 (by PEDMAS, expand parentheses first)

4(2) + 2x(2) ≥ 5x + 5

8 + 4x ≥ 5x + 5 (subtract 8 from each side)

4x ≥ 5x + 5 - 8

4x ≥ 5x - 3 (subtract 5x from both sides)

4x -5x ≥ - 3

-x ≥ - 3 (multiply both sides by -1, remember to flip the inequality when multiplying both sides by a negative number)

x ≤ 3

4 0

3 years ago

Read 2 more answers

Find the equation of the line specified.<br> The slope is 7, and it passes through ( 8, 6).

STALIN [3.7K]

Answer:

The answer is A

Step-by-step explanation:

Given that the equation of line is y = mx + c and the slope is 7 :

y = 7x + c

By substituting the coordinate(8,6) into the equation, in order to find the value of c:

6 = 7(8) + c

6 = 56 + c

c = 6 - 56

= -50

y = 7x - 50

(Hope this can help)

6 0

3 years ago

Please answer it for me or show me how to do it? I will mark you branliast answer !!

klasskru [66]

Answer:

25

Step-by-step explanation:

If HI and IJ are both the same and meet at the same point, the triangles would be the same.

7 0

4 years ago