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natulia [17]
2 years ago
12

HELP PLEASE!! which of the following represents a function?

Mathematics
2 answers:
PolarNik [594]2 years ago
7 0
The answer would be A because each x only has one y. Hope that makes sense!
STALIN [3.7K]2 years ago
4 0

Answer:

A is a function because if draw a line right down the middle no other dots will intercept

Step-by-step explanation:

A function is where one input has only one out put

As you can tell in the table(c) -3 is repeated that's what makes it not a function.same for B since there are more than one inputs it's not a function

Hope this helps!

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Use the given information to write the equation of the parabola.
m_a_m_a [10]

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

  • Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)
  • Vertical parabola [Standard form]: (x – h)² = 4p(y – k)

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

8 0
3 years ago
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I am not irrational, I am an integer, I am a natural number, and I am a prime number. What number am I?
LuckyWell [14K]

Answer:

I think 1

Step-by-step explanation:

8 0
2 years ago
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Identify the savings options and the investment options. business ownership bonds money market account promotional CD
Bond [772]

Answer:

The given options are -

business ownership

bonds

money market account

promotional CD

Now we have to identify these under saving options or investment options.

So, saving are :

promotional CD and money market account ( money market account is a type of saving account that can pay higher interest rate than normal savings accounts, but these accounts have higher minimum deposits.)

And investment are :

business ownership and bonds.

8 0
3 years ago
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A bag of marbles contains 3 yellow, 2 red, 2 green, and 1 blue marble. What is the probability of selecting a green marble?
Papessa [141]

Answer:

2/8

Step-by-step explanation:

There are 2 green marbles.

In all, there are 8 marbles.

So, the probability is 2/8.

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Can someone please explain how to do number 23 I have no idea how to do it.
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Ok so first equate all the three equations whether by substituting or by eliminating then choose the one das not the answer
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2 years ago
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