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4 years ago

Quick please !!!! Which set of ordered pairs represent a function ?

Mathematics

2 answers:

natita [175]4 years ago

5 0

Answer:

The answer is b because for every input there is an output.

ASHA 777 [7]4 years ago

4 0

the answer would be C because none of the X values are the same

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Which relation represents a function?

Airida [17]

<h3>Answer: Choice C</h3><h3>{ (-2,2), (0,2), (7,2), (11,2) }</h3>

Here we don't have any repeated x values.

In choice A, x = 2 repeats. In other words, x = 2 leads to multiple y outputs. So this is not a function. Choices B and D are similar stories. A function is only possible if every x leads to exactly one y value only. The graph must pass the vertical line test.

Side note: the y values can repeat, but the function won't be one-to-one.

4 0

3 years ago

A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo

Arada [10]

Answer:

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

$y - k = C \cdot (x-h)^{2}$

Where:

$h$ - Horizontal component of the vertix, measured in inches.

$k$ - Vertical component of the vertix, measured in inches.

$C$ - Parabola constant, dimensionless. (Where vertix is an absolute maximum when $C < 0$ or an absolute minimum when $C > 0$ )

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

$V (x,y) = (0, 32)$ (Vertix)

$A (x, y) = (-28, 0)$ (x-Intercept)

$B (x,y) = (28. 0)$ (x-Intercept)

The following equation are constructed from the definition of a parabola:

$0-32 = C \cdot (28 - 0)^{2}$

$-32 = 784\cdot C$

$C = -\frac{2}{49}$

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

$y -32 = -\frac{2}{49} \cdot x^{2}$

$x^{2} = -\frac{49}{2}\cdot (y-32)$

$x = \sqrt{-\frac{49}{2}\cdot (y-32) }$

If y = 22 inches, then x is:

$x = \sqrt{-\frac{49}{2}\cdot (22-32)}$

$x = \pm 7\sqrt{5}\,in$

$x \approx \pm 15.652\,in$

Head must 15.652 inches away from the edge of the door.

8 0

3 years ago

Two other ways to write 0.632

larisa86 [58]

Two other ways to write 0.632 is to turn it into a percent. To turn 0.632 into a percent just multiply it by 100. You can do this simply by moving the decimal point to the right twice and adding the percent sign: 63.2%
Another way is by fraction form. To put in in fraction form just look at the decimal and see which is the last place. The last placement it a thousandth. So your denominator is automatically 1000. Then, you look at the decimal and write the decimal and disregard the zero. The fraction you get is 632/1000. Hope this answer helps and mark as brainliest!

7 0

3 years ago

Multiple of 3 and 5 less than 47 but greater than 42....

malfutka [58]

Answer:

Step-by-step explanation:

45 > 42 but < 47 and it's a multiple of 3 and 5

8 0

3 years ago

PLEASE HELP ASAP! BRAINLIEST FOR RIGHT/BEST ANSWER!

Neporo4naja [7]

D is the right answer

8 0

3 years ago