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3 years ago

Which relation is a function?

Mathematics

1 answer:

Afina-wow [57]3 years ago

6 0

Answer:

First and last

Step-by-step explanation:

The first one is a parabola wich is function graph

The last one is straight line

the second isn't a function since some numbers give many values

the thirs is a cercle

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Given: Circle k (O), OA and OC -radii, AP and CP - tangents, m∠AOC=150° Find: m∠APC

viva [34]

Answer:

m∠APC = 30°

Step-by-step explanation:

To solve for the above question, we would be making use of circle theorems

Looking at the circle, we can see that

m∠APC is an Angle outside the circle

m∠AOC is a smaller arc in the circle.

Therefore, Circle Theorem states that for a circle with two tangents,

The Angle outside the circle + The smaller arc = 180°

Hence,

m∠AOC + m∠APC = 180°

m∠APC = 180° - m∠AOC

m∠APC = 180° - 150°

m∠APC = 30°

3 0

3 years ago

Assume that the average healthy body temperature is 98.249 degrees and the standard deviation is 0.733 degrees. How many standar

Leno4ka [110]

The standard deviation is 1.43 below the mean

<h3>How to determine the number of standard deviation?</h3>

The given parameters are:

Mean = 98.249

Standard deviation = 0.733

x = 97.2

To calculate the number of standard deviation below the mean, we use

$x = \bar x - n\sigma$

So, we have:

$97.2 = 98.249 - n * 0.7333$

Evaluate the like terms

$-1.049 =- n * 0.7333$

Divide both sides by -0.733

n =1.43

Hence, the standard deviation is 1.43 below the mean

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5 0

2 years ago

Sketch the graph of y =sine3x

IgorLugansk [536]

The graph of $\mathbf{y=\sin{3x}}$ is given by,

Here given the function is $y=\sin{3x}$

when $x=0\Rightarrow y=\sin{3\times 0}=\sin0=0$ , then it passes through the origin (0,0).

When $x=\frac{\pi}{6}\Rightarrow y=\sin{3\times\frac{\pi}{6}}=\sin\frac{\pi}{2}=1$

Since we know that, $-1\leq\sin{x}\leq1,\forall x$ , then the function has maximum height at $x=\frac{\pi}{6}$ .

Again when $x=\frac{\pi}{3}\Rightarrow y=\sin{(3\times\frac{\pi}{3})}=\sin\pi=0$ , again the function is 0.

So clearly the function is the Oscillating function.

Using graphing calculator we get the graph of function $y=\sin3x$ ,

Learn more about Trigonometric Function here -

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8 0

2 years ago

What will make this equation true? -3 y=18

Virty [35]

Answer:

nothing

Step-by-step explanation:

you cant make this equation true!!

8 0

3 years ago

Complete the square to transform the quadratic equation into the form

faltersainse [42]

The square of a binomial is written like

$(x\pm a)^2 = x^2\pm 2ax + a^2$

In your case, you have $2ax=-8x$ , which implies $a=-4$

So, we want to write

$(x-4)^2 = x^2-8x+16$

But our left hand side is

$x^2-8x-10$

If we add 26 to both sides, we have

$x^2 - 8x - 10 +26 = 18+26 \iff x^2-8x+16=44 \iff (x-4)^2=44$

7 0

3 years ago