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3 years ago

Which number sentence shows the commutative property of addition?

2 answers:

8 0

The commutative property of addition states that a + b = b + a, in other words, the numbers in an addition problem can be flipped, but the result will be the same, the answer is C.

hammer [34]3 years ago

8 0

The answer is C. The commutative property is when you can move the numbers around to get the same answer. Since 3 + 5 = 7 , 5 + 3 = 7, and they use the same numbers so you can verify that this is the commutative property.

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Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?

NeX [460]

Answer:

The function is $y~=~12 ~-~ 0.5 \cdot x$ .

The slope is $m=-0.5$ .

The y-intercept is $b=12$ .

Step-by-step explanation:

Our aim is to calculate the values m (slope) and b (y-intercept) in the equation of a line :

$y=mx+b$

We have the following data:

$\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}$

To find the line of best fit for the points given, you must:

Step 1: Find $X\cdot Y$ and $X\cdot X$ as it was done in the table below.

Step 2: Find the sum of every column:

$\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200$

Step 3: Use the following equations to find b and m:

$\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}$

Step 4: Assemble the equation of a line

$\begin{aligned} y~&=~b ~+~ m \cdot x \\y~&=~12 ~-~ 0.5 \cdot x\end{aligned}$

The graph of the regression line is:

5 0

3 years ago

Does this graph represent a function? Why or why not?

Yuliya22 [10]

Answer:

It’s D because no lines overlap so it passes the vertical line test

Step-by-step explanation:

5 0

3 years ago

A model of a skyscraper is 1.6 in long, 2.8 in wide, and 11.2 in high. The scale factor is 8 in : 250 ft. What are the actual di

____ [38]

At 8in to 250 feet the skyscraper converts to the following. 1.6 in/8 in x 250ft = 50 ft long 2.8in/8in x 250ft = 87.5 ft wide 11.2in/8in x 250ft = 350 ft high You get this because every 8 in is 250 feet so you need to calculate the ratio of scale to that 8in per 250 feet.

3 0

3 years ago

At the beginning of a snowstorm, Grayson had 10 inches of snow on his lawn. The snow then began to fall at a constant rate of 0.

maxonik [38]

Answer:

Grayson had 10 inches of snow in his lawn
the snow falls at a constant rate of 0.5 inches per hour
no snow was melting
the snow has fallen for 3 hours

Let y be the height of the snow in the lawn

Grayson had 10 inches at the beginning (at t=0) so y= 10

3 hours passed so y= 10 + 3*0.5 = 11.5 inches

Grayson had 11.5 inches after three hours

Assuming that the snow continued to fall for an unkhown time t

y = 0.5*t + 10

we had 10 at the beginning so we add 10 (+10)

the snow is growing by 0.5 inches in the single hour so we multiply by 0.5

t is the time and it can 4, 5, 6 ...... hours

Just like a function :

0.5 is the slope
t is the variable
10 is the y-intercept

3 0

3 years ago

Its basically just percents y=85(1.25)=

frosja888 [35]

Answer:

106.25

Step-by-step explanation:

y = 85(1.25) = 106.25

I'm not sure how to show the work, i just put it into a calculator

6 0

3 years ago