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Anna35 [415]
3 years ago
5

Is the relationship shown by the data linear? x -9, -5, -1, 3 y -2,-7,-12, -17

Mathematics
1 answer:
Temka [501]3 years ago
5 0
                x               y
            ------           -----
              -9              -2
             -5               -7
             -1              -12
              3               -17

ur x's all have a difference of 4, and ur y's all have a difference of -5...so yes, this is linear with a slope of (-7+2) / (-5 + 9) = -5/4
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Write an absolute value inequality for each of the following. Then graph the
n200080 [17]

An absolute value inequality for "all numbers less than 7 and greater than -7" is given by |x| < 7.

<h3>How to write an absolute value inequality?</h3>

Based on the information provided, we can logically deduce that the statement describes an intersection of set because the word "and" was used.

This ultimately implies that, we would use the less than (<) symbol to write an absolute value inequality for the given statement:

|x| < 7

Therefore, this can be translated as follows:

-7 < x < 7      or      x < 7  and    x > -7.

Read more on number line here: brainly.com/question/24644930

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8 0
2 years ago
Y is between points p and b. pt= 15 and tb = 10. what is pb
Kruka [31]
PT = 15, and TB = 10 

Take the 15 from PT, and add the 10 from TB. Which equals 25. 

PB = 25 

So, 25 is your answer. 

Hope this helps! ☺
4 0
3 years ago
Could somebody please help with this?
Ludmilka [50]

the x-intercept is the point where the line touches the x-axis. The x-intercept is (4,0)

the y-intercept is the point where the line touches the y-axis. The y-intercept is (0,-2)

3 0
3 years ago
The table shows the average weight of animals. How many more tons does a blue whale weigh than an African elephant? Explain how
AVprozaik [17]

Answer:

The African elephant weighs <u>111.5 tons</u> less than a blue whale.

Step-by-step explanation:

Given:

Animal                         Weight(pounds)

African Elephant            15,000

Blue Whale                   238,000

Now, to find the weight of how more tons does a blue whale weigh than an African elephant.

As given, 1 ton = 2,000 pounds.

So, to convert the weight from pound to tons by dividing:

African elephant =15000\div 2000=7.5\ tons.

Blue whale =238000\div 2000=119\ tons.

Now, to get the weight of how more tons is blue whale weigh than an African elephant we subtract:

Blue\ whale - African\ elephant

=119 tons-7.5tons

=111.5\ tons

Therefore, the African elephant weighs 111.5 tons less than a blue whale.

8 0
3 years ago
If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num
weeeeeb [17]

Answer:

<h2>x = 0, y = 5, z = 3</h2>

Step-by-step explanation:

x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right

\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right

\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}

7 0
3 years ago
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