What fraction of 60 is 20

A midpoint of sequence of numbers is Median.

What is Median?

In statistics, the median is the value that, when placed in order, falls in the middle of the supplied collection of data. Either descending or ascending order can be used to arrange the data or observations.

As, the middle number or central value within a set of data is known as the median. The number that falls in the middle of the range is also the median.

Now, a data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set.

and, the number that appears most frequently in a data set is called the mode.

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A graph of the linear function y = 1/2(x) + 1 is shown in the image attached below.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

• m represent the slope or rate of change.
• x and y are the points.
• b represent the y-intercept.

Since the given linear function y = 1/2(x) + 1 is in slope-intercept form, we would start by plotting the y-intercept:

y = 1/2(x) + 1

y = 1/2(0) + 1

y = 1 ⇒ (0, 1)

y = 1/2(-8) + 1

y = 1 ⇒ (-8, -3)

y = 1/2(-4) + 1

y = 1 ⇒ (-4, -1)

y = 1/2(2) + 1

y = 1 ⇒ (2, 2)

y = 1/2(6) + 1

y = 1 ⇒ (6, 4)

Next, we would use an online graphing tool to plot the given linear function for the values in its domain { -8,-4,0,2,6} using table, as shown in the graph attached below.

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Final answer:

To plot the ordered pairs for the given domain of a linear function, substitute each value of x into the equation and solve for y.

Explanation:

To plot the ordered pairs for the values in the given domain, we substitute each value of x into the equation and solve for y. Let's do that for each value in the domain:

1. For x = -8, y = (1/2)(-8) + 1 = -4 + 1 = -3. The ordered pair is (-8, -3).
2. For x = -4, y = (1/2)(-4) + 1 = -2 + 1 = -1. The ordered pair is (-4, -1).
3. For x = 0, y = (1/2)(0) + 1 = 0 + 1 = 1. The ordered pair is (0, 1).
4. For x = 2, y = (1/2)(2) + 1 = 1 + 1 = 2. The ordered pair is (2, 2).
5. For x = 6, y = (1/2)(6) + 1 = 3 + 1 = 4. The ordered pair is (6, 4).

The ordered pairs for the given domain are (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

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Answer:

the answer would be 8

Step-by-step explanation:

The equation that describes the line that contains (1,5) and has a slope of 2 is y = 3x + 2

The equation of a line in point slope form is expressed as;

• y-y0 = m(x - x0)

• m is the slope of the line

• (x0, y0) is the point on the line

Given the following parameters;

Slope  = 2

Point on the line is (1, 5)

Substitute the given parameters into the formula to have:

y - 5 = 3(x-1)

y - 5 = 3x - 3

y = 3x + 2

Hence the equation that describes the line that contains (1,5) and has a slope of 2 is y = 3x + 2

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The y-intercept is 4.

What is linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

GIven equation,

y = 7x+4  

Comparing to the equation of Line y=mx+b,

Whereas the y-intercept is the b.

So, 7 is the slope and 4 is the y-intercept

Hence the y-intercept is 4.

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Step-by-step explanation:

mutiply (-5+i) and 2i with 2i

2i × 2i = 4i^2 ➡-4

2i × (-5+i) = -10i + 2i^2 ➡-10i -2

then do the division

(-10i -2)/-4 = (5i + 1)/2

Multiply the numerator and denominator by the conjugate of 2i to make the denominator a real number:

-5 + 1 / 2i

= -5 + i /2i x i/i

=  -5i + i^2 / 2 x i^2

Rewrite i^2 as -1:

-5i + -1 / 2 x -1

Simplify:

= -1 - 5i / -2

Split the fraction into two separate ones:

1/2 + 5i/2