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Alenkinab [10]
3 years ago
11

Make a table of ordered pairs for the equation. y= 1/2x − 3 Then plot two points to graph the equation.

Mathematics
2 answers:
inysia [295]3 years ago
6 0

Answer:

Check the image

Step-by-step explanation:

To create the table we just have to give values to X and evaluate the equation with those values, we will use from -3 to 3:

X       Y

-3       -4,5

-2       -4

-1        -3,-5

0        -3

1        -2,5

2        -2

3         -1,5

Now that we have this we just use two points and unite them in the graph with a straigh line, I´d recomment using the first and last points. Checjk the image.

MrMuchimi3 years ago
5 0
All you gotta do is pick a random point on the x-axis, lets say, x=2 in this case, and plug it into the equation.

If x=2, y = (1/2)2 - 3 = 2 - 3 = -1
When x = 2, y = -1

Now pick another point, x = 1

x = 1, y = (1/2)1 - 3 = 0.5 - 3 = - 2.5
When x = 1, y = - 2.5

Draw a cross on those 2 points, on the 2d plane
(1, -2.5) and (2, -1)
and draw a line between them, and make the line continue past the points, having no boundaries but the paper you hold, keeping it straight the entire time. With not turns.

If you want to draw out a table, make it have 2 rows, and 6 columns.
Write x in the first column of the first row, and write y in the first column of the second row.

Now, write down a different, random x value, in each column in the first row.
In the second row, in each column, write the y value, that corresponds to the x value given above each individual column, based on the equation
y = 1/2x - 3.
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Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law
NARA [144]

Answer:

Slope of this line is given by:

<em>Aaron’s rate for mowing lawns is 0.5 acres per hour</em>

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

x_1=3, y_1=1.5\\x_2=5, y_2=2.5

Change in x coordinate = x_2-x_1=5-3 = 2

i.e. total time taken is 2 hours.

Change in y coordinate = y_2-y_1=2.5-1.5 = 1

i.e. total land mowed taken is 1 acre.

In other words, <em>it takes 2 hours for Aaron to mow 1 acre of land.</em>

So, "option 1)  It takes Aaron about 1 hour to mow 2 acres." is incorrect.

<u>Rate of mowing</u> lawn is the <em>land mowed by Aaron in 1 hour</em>.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = \frac{1}{2} acre i.e. 0.5 acre

Also, slope of a line is given as:

m = \dfrac{y_2-y_1}{x_2-x_1}

Here y_2 - y_1 = 1

x_2 - x_1 = 2

As per formula:

m = \dfrac{1}{2} = 0.5

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

6 0
4 years ago
Read 2 more answers
Which of the following functions has an inverse that is not a function?
Rainbow [258]

Answer:

f(x) = x(x - 1)

Step-by-step explanation:

The inverse of a quadratic function is not a function.

4 0
3 years ago
Find all the interior angle measures of triangle ABC, if m∠A = 3x + 10, m∠B = 5x − 1, and m∠C = x. answers: m∠A = 60°, m∠B = 94°
tester [92]

Answer:

Step-by-step explanation:

Total interior angles in a triangle=180 degrees

That is: 3x + 10 + 5x - 1 + x =180

9x+9=180

9x=180-9

9x=171

x=171/9

x=19

Therefore

Angle A =67 degrees

Angle B= 94 degrees

Angle C = 19 degrees

3 0
3 years ago
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205
Crank

Answer:

P(205-0.3=204.7

z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778

z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778

So we can find this probability:

P(-1.778

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

P = 1-0.9243 = 0.0757

Step-by-step explanation:

Let X the random variable that represent the diamters of interest for this case, and for this case we know the following info

Where \mu=205 and \sigma=1.5

We can begin finding this probability this probability

P(205-0.3=204.7

For this case they select a sample of n=79>30, so then we have enough evidence to use the central limit theorem and the distirbution for the sample mean can be approximated with:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}

And we can find the z scores for each limit and we got:

z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778

z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778

So we can find this probability:

P(-1.778

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

P = 1-0.9243 = 0.0757

6 0
3 years ago
The perimeter of a rectangle is 120cm. The ratio of the length to the with is 3 to 2. What is the length of the longer side of t
Katyanochek1 [597]
The longer side is 36 and the shorter side is 24
8 0
3 years ago
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