In a popular online role playing game, players can create detailed designs for their

arsen [322]

Answer:
y = 5x - 7

Explanation:
The general form of the linear line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept

1- getting the slope:
The slope of the line can be calculated using the following formula:
m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

We are given the points:
(3,8) representing (x₁,y₁)
(2,3) representing (x₂,y₂)
Substitute with the givens in the above equation to get the slope as follows:
m = $\frac{3-8}{2-3}$ = 5

Therefore, the equation now became:
y = 5x + c

2- getting the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7

Based on the above, the equation of the line is:
y = 5x - 7

Hope this helps :)

6 0

2 years ago

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Evaluate the expression for x = 5, y = 3, and z=14 . 5x−6y+20z/4yz

Arlecino [84]

Answer:

4

Step-by-step explanation:

6 0

2 years ago

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Simplify the expression. -4k^4j^5^3 - -64% 33,30 -64 -64% 17,18 64% 33,36

Degger [83]

Answer:

D)There are limited resources and unlimited wants and demands.

Step-by-step explanation:

5 0

2 years ago

The data show the average monthly temperatures for two cities over a 6-month period. City 1: {20, 24, 40, 63, 76, 89} City 2: {4

Mrac [35]

Answer:

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

Step-by-step explanation:

For comparing the mean absolute deviations of both data sets we have to calculate the mean absolute deviation for both data sets first,

So for city 1:

$Mean = x1 = \frac{20+24+40+63+76+89}{6}$

$x1 = \frac{312}{6}$

$x1 = 52$

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored as the deviation is the distance of value from the mean and it cannot be negative. For this purpose absolute is used)

$20-52 = -32=32\\24-52=-28=28\\40-52=-12=12\\63-52=11\\76-52=24\\89-52=37$

The deviations will be added then. $Mean Absolute Deviation = \frac{32+28+12+11+24+37}{6} \\=\frac{144}{6}\\=24$

So the mean absolute deviation for city 1 is 24 ..

For city 2:

$Mean = x2 = \frac{41+50+58+62+72+83}{6}$

$x2 = \frac{366}{6}$

$x2 = 61$

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored)

$41-61=-20=20\\50-61=-11=11\\58-61=-3=3\\62-61=1\\72-61=11\\83-61=22$

The deviations will be added then. $Mean Absolute Deviation = \frac{20+11+3+1+11+22}{6} \\=\frac{68}{6}\\=11.33$

So the MAD for city 2 is 11.33 ..

So,

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

3 0

2 years ago

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Write 7.96 as a mixed number in simplest form

Vilka [71]

Answer:

199/25

Step-by-step explanation:

4 0

2 years ago

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