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Nastasia [14]
3 years ago
13

The table shows the relationship between two variables. which selection describes the relationship?

Mathematics
2 answers:
Phantasy [73]3 years ago
8 0
Linear; increasing
Hope tuhis helps

Liula [17]3 years ago
4 0

Answer:

The relationship between two variables is decreasing and linear.

Step-by-step explanation:

From the given table it is notice that the function passing through the points (1,5), (2,-1), (3,-7) and (4,-13).

Slope of the function between first two points (1,5) and (2,-1) is

m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-5}{2-1}=-6

Slope of the function between last two points (3,-7) and (4,-13) is

m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{-13+7}{4-3}=-6

The rate of change or slope of the function is constant.

From the given table it is noticed that the values of y decreased by 6 units as the values of x increased by 1 units.

Since the rate of change constant and negative, therefore the relationship between two variables is decreasing and linear.

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Is the point (1,3) a solution to the linear equation 5x-9y=32? explain
harina [27]

There are many ways to check if the point (1,3) is a solution to the linear equation 5x-9y=32.

Let us check it by expressing y in terms of x.

The given expression is 5x-9y=32. If we add -5x to both sides we will get:

-9y=-5x+32

Multiplying both sides by -1 we will get:

9y=5x-32

In order to isolate y, we will divide both sides by 9 to get:

y=\frac{5}{9}x-\frac{32}{9}

Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.

y=\frac{5}{9}\times 1-\frac{32}{9}=\frac{5-32}{9}

\therefore y=\frac{-27}{9}=-3

Thus, we see that when x=1, y=-3 and that y\neq 3 and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.

For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.





3 0
3 years ago
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HELP HELP HELP<br> Quick algebra 1 questions
beks73 [17]

<u>Hello:</u>

<u />

<u>Okay, this problem should be taken in a series of steps</u>:

<u>What is the slope's formula?</u>

  \rm\hookrightarrow  \frac{y_2-y_1}{x_2-x_1}

  • (x₁,y₁) -- first point
  • (x₂,y₂) -- second point

<u>Okay, now let's use this knowledge</u>  

10. (5,-19) and (-5,21)

       Slope = \frac{21--19}{-5-5} =\frac{40}{-10}=-4

11. (12,1) and (12, -1)

      Slope = \frac{-1-1}{12-12} =\frac{-2}{0}

12. (8,7) and (4,7)

     Slope = \frac{7-7}{4-7} =0

<u>Answer:</u>

  • Question 10: -4
  • Question 11: undefined
  • Question 12: 0

Hopefully that helps!

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What is the point of symmetry for the following circle? 10 Points!
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80,420,100 in wod form
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The average of four numbers is 98. If three of those numbers are 86, 87, and 91, what is the fourth number?
BabaBlast [244]

Answer:

128

Step-by-step explanation:

86 plus 87 plus 91 =264  

You have to get 98 times 4 which is 392  

Then;

392-264, which is 128, which is the answer (the fourth number)  

So;

86+87+91+128 = 392 divided by 4 (the number of numbers there is) which equals 98!  

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Please mark me as Brainliest

4 0
4 years ago
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