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3 years ago

Is this a relation: {(-2,1), (0,0), (0,1), (1,-2), (1,0), (1,3), (2,0)}? Explain why or why not.

1 answer:

tatiyna3 years ago

4 0

It is a relation because any relation is simply a set of (x,y) values known as points or ordered pairs. There are no other qualifications needed to be a relation. We simply pair up any x and y value we want.

I think you meant to ask if it's a function or not. If so, then the answer is "no, it is not a function". Why not? Because the x value x = 0 produces more than one y output y = 1 and y = -2. Graph these points and you'll see them fail the vertical line test (ie its possible to draw a vertical line through more than one point on the graph). The same issue happens with (1,-2), (1,0) and (1,3) as well.

In summary:

Yes it is a relation

No it is not a function

The reasoning for each is stated above

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These is the numbers 16-21

Nataly [62]

Answer:

16. D

17. B

I'm not sure about the other ones sorry

5 0

3 years ago

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Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. when sharon jumps, megan throws a beac

Alinara [238K]

It will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet option third is correct.

<h3>What is the equation of motion?</h3>

It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.

We have:

The height of the Sharon from the diving board = 18 feet

The initial upward velocity of the Sharon = 4 ft/s

The height of the Megan from the ground = 5 feet

The initial upward velocity of the beach ball = 16 ft/s

We know the equation of motion is given by:

$\rm h(t) = x + ut+\frac{1}{2} gt^2$

Put x = 18 feet and u = 4 ft/s in the above equation, we get:

$\rm h(t) = 18 + 4t+\frac{1}{2} \times9.8t^2$ ....(1) [g = 9.8 m/s²]

Put x = 5 feet and u = 16 ft/s in the equation of motion, we get:

$\rm h(t) = 5 + 16t+\frac{1}{2} \times9.8t^2$ ....(2)

Equate the equation (1) and equation (2), we get

$\rm 18 + 4t+\frac{1}{2} \times9.8t^2= 5 + 16t+\frac{1}{2} \times9.8t^2\\$

18 + 4t = 5 + 16t

12t = 13

t = 1.08 seconds

Thus, it will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet.

Learn more about the equation of the motion here:

brainly.com/question/13514745

6 0

2 years ago

From a sample with nequals8, the mean number of televisions per household is 4 with a standard deviation of 1 television. Using

OlgaM077 [116]

Answer:

75% of the households have between 2 and 6 televisions

Step-by-step explanation:

From the question, we can deduce the following;

sample size n= 8

sample mean μ = 4

standard deviation σ = 1

Using Chebychev’s theorem;

P(2 ≤ X ≤ 6) = P(2-4 ≤ (X - μ) ≤ 6-4)

= P(-2 ≤ (X-μ) ≤ 2) = P(|X-μ| ≤ kσ) ≥ (1 - 1/k^2) ≥ (1- 1/2^) = 1- 0.25 = 0.75 ( same as 75%)

3 0

3 years ago

cameron is 3 years old older than karlee. karlee is two years older than denise. the sum of cameron,karlee,and denise age is 49.

Mrac [35]

Subtract 5 (Cameron) and 2 (Karlee) from 49.

Why: Denise's age is basically the basic number. Karlee would be 2 years older, so subtract 2 from 49. You get 47. Cameron is 5 years older than Denise, so subtract 5. You get 42 and divide that by 3 since there are 3 people.

49 - 7 = 42

42 divide by 3 = 14

Check:

14 + 5 = 19

14 + 2 = 16

14 + 0 = 14

19 + 16 + 14 = 49

19 (Cameron) - 16 (Karlee) = 3 years older

16 (Karlee) - 14 (Denise) = 2 years older

19 (Cameron) - 14 (Denise) = 5 years older

Hopes this helps!

7 0

3 years ago

If f(x)=3x^2+15, what is the value of f(4).

nignag [31]

f(4) = 3×4^2+15

4^2=16

3×16

48+15

f(4)=63

7 0

3 years ago

Read 2 more answers