Passes through (4, 2) and (4,-5) in standard form

Is the relation depicted in the chart below a function?

Iteru [2.4K]

The true statement is (a) it is a function

<h3>How to determine the relation?</h3>

For a relation to be a function, the following must be true:

Each x value must be paired with exactly one y value

From the table of values, all x values have exactly one y value

This means that the relation is a function

Hence, the true statement is (a) it is a function

Read more about functions and relation at:

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3 0

2 years ago

Read 2 more answers

Ken normally leaves work at 5:00 pm, but he is leaving 20 minutes late today. He decides to make up time by taking the toll road

kobusy [5.1K]

Answer:

The correct answer is: $y=\frac{1}{3} x + 20$

Step-by-step explanation:

As stated in the question that x represents the number of minutes his normal commute takes. Here the keyword is normal; in the normal commute, Ken takes side streets instead of the toll road.

However, in this scenario, we have to come up with the equation that takes Ken's commute via toll road.

Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:

$x_{toll\_road}=\frac{1}{3}x$

Without considering Ken getting late, the equation would become the following:

$y=\frac{1}{3} x$ --- (A)

As Ken is leaving late, we have to incorporate that time as well by adding it in the aforementioned equation (A).

In this case, it's 20 minutes; therefore, the equation (A) will become:

$y=\frac{1}{3} x+20$

Hence, the correct answer is $y=\frac{1}{3} x + 20$ .

4 0

4 years ago

Find the missing side.

Aleksandr-060686 [28]

Where is the picture?

8 0

3 years ago

What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x4 + 5x3 − x2 + 8x + 4? (1 point)

Nostrana [21]

Answer:

Using Descartes' Rule of Signs, we observe whether each consecutive term has a + or - sign:

f(x) = 3x4 − 5x3 − x2 − 8x + 4

Signs are: + - - - +

There are 2 sign changes (from +3 to -5, then from -8 to +4). This means that there are either 2 or 0 positive roots. (We take the number of sign changes, which is 2, and subtract by 2s to get all possible numbers of positive roots.)

For negative roots, we first invert all the odd-powered terms in f(x):

3x4 + 5x3 − x2 + 8x + 4

Signs are: + + - + +

There are 2 sign changes, from +5 to -1, and from -1 to +8. Therefore, there are either 2 or 0 negative roots.

Since the overall degree of f(x) is 4, the total number of roots must sum up to 4. There are either 2 or 0 positive roots, and 2 or 0 negative roots, and everything that remains will be a complex root. The possibilities are:

2 positive, 2 negative, 0 complex

2 positive, 0 negative, 2 complex

0 positive, 2 negative, 2 complex

0 positive, 0 negative, 4 complex.

Therefore we can have either 0, 2, or 4 complex roots.

The correct answer is the last choice.

7 0

2 years ago

Write a linear equation that has a slope of 1/2 and a y-intercept origin

Sergeu [11.5K]

Equation of a line in slope-intercept form is y = mx + b

If it has a slope of 1/2, you set m = 1/2. If it has a y-int at the origin, you set b = 0

Put it all together:

y = 1/2x + 0

or

y = 1/2x

8 0

3 years ago