Find the y-intercept of the graph of x-3y=9 graphically<br> y-intercept: (0

If you roll a six-sided die, what is the probability that you will roll a 3?

Lana71 [14]

Answer:

the probability is 1/6, or 16.6%

7 0

3 years ago

Look at the relation below.

Mariana [72]

Answer:

If we remove one ordered pair (1, -2) then the set of points would represent a function.

Hence, option C i.e. (1, -2) is correct.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Given the relation

{(-2,4), (4,-2), (1,1), (1,-2), (0,1), (6,4)}

If we closely check, we can observe that the input x = 1 is repeated twice.

In other words, there are two ordered pairs (1, 1) and (1, -2) with the same input x = 1. So, x = 1 is duplicated here.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, if we remove one ordered pair (1, -2) then the set of points would represent a function.

Hence, option C i.e. (1, -2) is correct.

3 0

2 years ago

200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?

ziro4ka [17]

The sum of the equation is = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

$\sum_{j=1}^{200} 2 j(j+3)$