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3 years ago

For which values of x is the function y = 5 / (x-4)(x+5) not defined? Select all that apply.

1 answer:

5 0

$f(x)=\dfrac{5}{(x-4)(x+5)}\\\\(x-4)(x+5)\neq0\iff x-4\neq0\ and\ x+5=0\\\\x\neq4\ and\ x\neq-5\\\\Answer:\boxed{-5\ and\ 4}$

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What is the inverse of the function f(x) = 2x + 1?

BaLLatris [955]

Answer:

$f^{-1} = \frac{x-1}{2}$

Step-by-step explanation:

$f(x) = 2x+1$

Replace it with y

$y = 2x+1$

Exchange the values of x and y

$x = 2y+1$

Solve for y

$x = 2y+1$

Subtracting 1 from both sides

$2y = x-1$

Dividing both sides by 2

$y = \frac{x-1}{2}$

Replace it by $f^{-1}$

So,

$f^{-1} = \frac{x-1}{2}$

3 0

3 years ago

Read 2 more answers

In a lottery game, a player picks six numbers from 1 to 27. If the player matches all six numbers, they win 40,000 dollars. Othe

Alexus [3.1K]

Answer:

We conclude that expected value of this game is -0.865$.

Step-by-step explanation:

We know that in a lottery game, a player picks six numbers from 1 to 27.

We know that

$C_6^{27}=296010$

As there is only one advantageous combination, we conclude that the number of non-winning combinations is 296009.

He can win 40,000 dollars.

We calculate:

$E(X)=\frac{1}{296010}\cdot 40000\$- \frac{296009}{296010}\cdot 1\$\\\\E(X)=\frac{40000-296009}{296010}\, \$\\\\E(X)=-0.865\, \$$

We conclude that expected value of this game is -0.865$.

7 0

3 years ago

Geometry 16. Find the value of x. The diagram is not to scale,

bagirrra123 [75]

You solve by 140-68 which equals 72
So x=72 degrees

6 0

2 years ago

Read 2 more answers

Form the greatest and the smallest 4-digit number using the following digits

MrMuchimi

Greatest =9998

Smallest=8889

Thanks!

6 0

2 years ago

Which arrangement for these numbers is from least to greatest?

laiz [17]

Answer: D) -5/6 < -3/5 < -4/7 < -4/9

Step-by-step explanation:

Since putting fractions from least to greatest by using negatives the number or fraction has to be closed to 0. -5/6 is the farthest from 0 so it'll be the least -4/9 is closes to 0 so -4/9 is the most.

8 0

3 years ago