Please help me need help please help me

Murrr4er [49]

Answer:

The rule that represents the function is $y=x^2+1$ therefore the function is $f(x)=x^2+1$

Step-by-step explanation:

We have 5 ordered pairs in the plane xy. This means that every pair has the form (x, y).

Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.

The easy evaluation is that when x=0, the value of y is y=1, and then we can evaluate the rule for x=-1, and x=1, the value of y is the same, y=2. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.

So we propose the rule $y=x^2+1$ which is correct for the first 3 values of x.

Now, we evaluate the proposed rule when x=2, and when x=3. This evaluations can be written as

$f(2)=2^2+1=5$

$f(3)=3^2+1=10$

Therefore, the rule is correct, and the function is

$f(x)=x^2+1$

8 0

3 years ago

What is 30 less than 4 times a number is equal to 14

Genrish500 [490]

The answer is x=11
4x-30=14
You add 30 to each side=4x=44
Then you divide 44 by 4 which=11

4 0

3 years ago

Your teacher gives you a number cube with numbers 1-6 on its faces. You are asked to state a theoretical probability model for r

butalik [34]

The missing part of the question is show in bold format.

Your teacher gives you a number cube with numbers 1-6 on its faces. You are asked to state a theoretical probability model for rolling it

once. Your probability model shows a probable outcome of 1/6 for each of the numbers on the cube, 1 chance for all any of the 6 numbers.

You roll it 500 times and get the following data:

Outcome 1 2 3 4 5 6

Frequency 77 92 75 90 76 90

Exercises 1–2

1. If the equality model was correct, about how many of each outcome

would you expect to see if the cube is rolled 500 times

2. Based on the data from the 500 rolls, how often were odd numbers observed? How often were even numbers observed?

Answer:

Step-by-step explanation:

1.

If the equally likely model was correct, about how many of each outcome

would you expect to see if the cube is rolled 500 times.

The probability of rolling any of the numbers from 1 to 6 is p(1/6)

The number of each of the outcomes expected to be seen in 500 rolls of the number cube is $np$

$= 500 * \frac{1}{6} \\ \\ = \frac{500}{6} \\ \\ = 83.333 \\ \\ \approx 83$

2. From the given data in the roll;

The odd numbers 1, 3 and 5, were obtained at 77, 75 and 76 times respectively.

Thus, the total number of times odd number were rolled = 77 + 75 + 76 = 228

Probability of an odd number turning up = $\frac{ number \ of \ required \ outcome}{ total \ number \ of \ possible \ outcome}$

= $\frac{228}{500}$

= 0.456

= 45.6%

The even numbers, 2, 4 and 6, were obtained 92, 90 and 90 times respectively.

The total number of times even number were rolled = 92 + 90 + 90 = 272

Probability of an even number turning up = $\frac{ number \ of \ required \ outcome}{ total \ number \ of \ possible \ outcome}$

= $\frac{272}{500}$

= 0.544

= 54.4%

4 0

3 years ago

How to find an equation of the line that passes through the point(-3,-2) and is parallel to 2x=3-5y?

Cerrena [4.2K]

3-5y= 2x

-5y= 2x-3

y= (-2/5)x + 3/5

y + 2 = (-2/5)(x + 3)

y + 2 = (-2/5)x - (6/5)

y + 10/5 = (-2/5)x - 6/5

y = (-2/5)x - 16/5 is the answer

5 0

3 years ago

Jamie's older brother and his three friends want to split the cost of lunch they also want to leave a 15% tip how much should ea

goldfiish [28.3K]

Answer:
$22.43

Explanation:
We can start by finding the amount that they should tip. The total bill is $78, so we should take 15% of 78 and add it to the total.
0.15 * 78 = 11.7
78 + 11.7 = 89.7
This means that the total cost of the bill, with a tip, is $89.70.
Since there are 4 people, we have to split this total into 4 if they all want to pay equally.
89.70 / 4 = 22.425 = $22.43 !

Hope this helps

4 0

3 years ago