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5 0

The answer is 13/18. find the common denominator which is 54 now put 54 on both sides, also multiply the old denominator with the opposite nominator, like so 5*6=30 and 9*1=9, so the new fraction would be 9/54 + 30/54 =39/54 simplified by 3 is 39/3 =13 and 54/3 =18, so you get 13/18.

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The graph shows the equation x2 + y2 = 5. Use the slider for a to move the vertical line on the graph. Based on the vertical

lidiya [134]

Answer: This equation is not a function.

Step-by-step explanation:

Ok, a function is something like a "machine".

It takes an input value, x, and transforms it into an output value, y.

Such that for every input x, the function can transform it into only one value of y.

for example, if we have a "function" f(x)

such that f(2) = 3 and f(2) = 4

(for the same input, x = 2, we have two different outputs)

Then this is not a function.

Now, the given equation is:

x^2 + y^2 = 5

This is actually the equation for a circle, centered at the point (0, 0) and with a radius equal to √5.

Then, if we want to transform it into y(x), we can see a problem

If x = 0, we have:

0^2 + y^2 = 5

y^2 = 5

then we have two possible values for y:

y = +√5

y = -√5

Then for one value of x, we have two values of y.

This means that this is not a function.

4 0

4 years ago

You have 666 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 333 fly your sleigh. You al

Hoochie [10]

Answer:

<h2>a) 120 ways</h2><h2>b) 6 unique ways</h2>

Step-by-step explanation:

The question will be solved using the permutation formula since are arranging. <u>Permutation deals with arrangement.</u>

If there we are to arrange n objects taking 'r' at a time, this can be done in nPr ways.

$nPr = \frac{n!}{(n-r)!}$

a) If you therefore have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. Since they are in a single file line, This can be done in 6P3 number of ways.

$6P3 = \frac{6!}{(6-3)!}\\ 6P3 = \frac{6!}{3!}\\ 6P3 = \frac{6*5*4*3!}{3!} \\6P3 = 6*5*4\\6P3 = 120\ ways$