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1 year ago

The ordered pairs below represent a relation between x and y.

Mathematics

1 answer:

Marrrta [24]1 year ago

7 0

Yes, this set of ordered pairs has been generated by a linear function because the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate it.

We have given that,

The ordered pairs below represent a relation between x and y.

(-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20)

<h3>What is a graph?</h3>

The graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given are ordered pairs are: (-3,0) (-2,4)(-1,8)(0,12)(1,16)(2,20).

It can be seen that there is only a unit increase in x coordinates and a unit increase in consecutive y- coordinates.

Now, if we set up the equation of line as

Here, m =4 and b = 12

So the relationship is linear and represented by the equation

y=4x+12

Hence, the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate it.

The correct option is (B)

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Grace is an hourly employee, and the line that models her total pay in dollars

tresset_1 [31]

Answer: Hello mate!

if x is the amount of hours worked, 45 is the slope and the y intercept is 35.

A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:

y = 45*x + 35

this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.

Then the correct answer is

C) Grace's wage is $45 an hour, and it appears that she received a signing bonus of $35.

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2 years ago

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Luda [366]

Answer:

It is 300.88.

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2 years ago

If a circle garden has a diameter of 60 feet and there’s a sidewalk 18 feet from the center, how long is the sidewalk?

Paul [167]

Answer:

Step-by-step explanation:

Conditions

A diameter must be chosen such that it meete the sidewalk perpendicular to itself.
The diameter meets the sidewalk at the sidewalk's midpoint.
The diameter meets the sidewalk such that the diameter is cut into two segments 30+18 and 12
The sidewalk is cut in 1/2 where the diameter meets the sidewalk as the diagram shows.
If all these conditions are met, the relationship between the four lines is

Equation

48/12 = x^2

Solution

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sqrt(x^2) = sqrt(4)

x = 2

The length of the sidewalk is 4. Why is it doubled.

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3 years ago

Simplify.<br> 40 to the half power

allochka39001 [22]

Answer:

2✓10

Step-by-step explanation:

40 to the half power

can also be written as √40

so,√2×2×10=2√10

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2 years ago

Which of the following is a point slope equation of the line below (10,5)(2,2)

salantis [7]

Point slope form follows the equation y-y₁=m(x-x₁), so we want it to look like that. Starting off with m, or the slope, we can find this using your two points with the formula $\frac{ y_{1} -y_{2} }{ x_{1} - x_{2} }$ . Note that y₁ and x₁ are from the same point, but it does not matter which point you designate to be point 1 and point 2. Thus, we can plug our numbers in - the x value comes first in the equation, and the y value comes second, so we have
$\frac{5-2}{10-2} = \frac{3}{5}$ as our slope. Keeping in mind that it does not matter which point is point 1 and which point is point 2, we go back to y-y₁=m(x-x₁) and plug a point in (I'll be using (10,5)). Note that x₁, m, and y₁ need to be plugged in, but x and y stay that way so that you can plug x or y values into the formula to find where exactly it is on the line. Thus, we have our point slope equation to be $y- 5= \frac{3}{5} (x-10)$

Feel free to ask further questions!

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3 years ago