radio

Expanded would be

x^2-8x-9

This cubic cannot be factorised so this is its simplest form.

There is only one real value for x and 2 imaginary.

Click the 2nd button then asin which is the same as sin-1 or inverse sine.

sin-1 is the inverse of sin. When you have sin(x) and you want to get x on its own on one side, you bracket the other side with sin-1.

Example:

sin(x)=3/5

x=sin-1(3/5)

If you are just looking for the slope, or gradient of the line and you have a perpendicular line slope/gradient, all you need to do is multiply by -1 and flip the fraction/get the reciprocal of the gradient of the perpendicular line.

-3/2 x -1=3/2

Flip the fraction to get 2/3

That is the gradient of the line.

For the equation of the line, you can draw it or visulise a graph because you don't have a second co-ordinate.

So for every 3, it goes 2 up.

The equation for a line that has gradient 2/3 and passes through point (6,3) would be

y=2/3x-1

The percent the player hits in the first season is $${\frac{{\mathtt{153}}}{{\mathtt{572}}}} = {\mathtt{0.267\: \!482\: \!517\: \!482\: \!517\: \!5}}$$

The second season is $${\frac{{\mathtt{172}}}{{\mathtt{576}}}} = {\frac{{\mathtt{43}}}{{\mathtt{144}}}} = {\mathtt{0.298\: \!611\: \!111\: \!111\: \!111\: \!1}}$$

Combined, the percentage hit would be $${\frac{{\mathtt{1}}}{{\mathtt{2}}}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{153}}}{{\mathtt{572}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{172}}}{{\mathtt{576}}}}\right) = {\mathtt{0.283\: \!046\: \!814\: \!296\: \!814\: \!3}}$$ or 28.3%

The first time would be a 5/14 chance. Depending on which ball you first picked will determine the chance of picking a blue ball. If a yellow ball was picked, then the chance of picking a blue ball would be 5/13. If the first time a red ball was picked, the chance would also be 5/13. If the first ball was a blue ball, then the change of picking another blue ball would be 4/13, and so on.

$${\frac{{\mathtt{21}}}{{\mathtt{360}}}}{\mathtt{\,\times\,}}{\mathtt{36}}$$

We can cancel the 360 and 36 so we get

$${\frac{{\mathtt{21}}}{{\mathtt{10}}}}{\mathtt{\,\times\,}}{\mathtt{1}}$$

So now we can make it a mixed number fraction which is $${\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{10}}}}$$ which is 2.1.

$${\frac{{\mathtt{1}}}{{\mathtt{3}}}}{\mathtt{\,\times\,}}{\mathtt{6}}$$

We can simplify this by canceling the 3 and 6 to get 1 and 2. So

$${\frac{{\mathtt{1}}}{{\mathtt{1}}}}{\mathtt{\,\times\,}}{\mathtt{2}}$$

This way we can see that the answer is 2

Unless "a" has been given a value, the answer to this is still 12a+42. If a has a value, we times 12 by the value of "a" and then add 42.