The equation below describes a parabola. If a is positive, which way does the parabola open? x=ay^2

Mathematics

1 answer:

Ilya [14]2 years ago

6 0

Positive parabolas are concave, and usually open upwards or downwards if they are functions ( functions have one output for every input). However, since your equation is x=ay^2, then your parabola is set to point rightwards (note, it is not a function since for every input of x, you can have multiple outputs of y). The above image was found by typing your equation into Google search, so as to give you an idea of what I am talking about and also to check my own answer.

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Answer:

209

Step-by-step explanation:

You would first create an explicit formula for the provided sequence.

The basic explicit formula for arithmetic sequences is $a_{n} = d(n-1) + a_{1}$ , where an is the number of the term, d is the number you are adding or subtracting by, n the location of the term, and a1 is the first number.

We would then substitute the values given into the formula.

We are trying to solve the value of the 52nd term. This makes n = 52. The first number of the sequence is 5, so a1 is 5. Finally, d is 4 because we are adding 4 to each number in the sequence.

Therefore, our resulting equation would be $a_{n} =4(52-1)+5$ , which equals 209.

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