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NemiM [27]
3 years ago
10

Determine if the function is linear or nonlinear . EXPLAIN​

Mathematics
1 answer:
nordsb [41]3 years ago
5 0

Answer:

it is not linear

Step-by-step explanation:

Linear function means that same increments in x yield uniform increments in y.

First 2 lines: x grows from -5 to 0, so increment in x is 5. For said interval, y grows from 3 to 7, so increment in y is 4.

Then, x grows from 0 to 5, so increment in x is again 5. Now, for the same increase of x, y grows from 7 to 10, so increment now in y is 3.

In the first "5" interval of x, y grew 4, and in the second "5" interval of x y grew 3 ⇒ it is not linear.

The function would have been linear, if last y value had been 11.

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Use average rates of change to determine if the function in the table is Linear or Non-linear.
nevsk [136]

We have been given a table of values of a function. We are asked to determine whether the given function is linear or nonlinear.

We know that a function is linear when its rate of change (slope) is constant.

Let us find slope for each of the given points using slope formula.

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

m=\frac{-3-0}{4-1}=\frac{-3}{3}=-1

Similarly, we will find the slopes using other given coordinates.  

m=\frac{-6-(-3)}{7-4}=\frac{-6+3}{3}=\frac{-3}{3}=-1

m=\frac{-9-(-6)}{10-7}=\frac{-9+6}{3}=\frac{-3}{3}=-1

Since the rate of change for each set of points is -1, so the rate of change is constant.

Therefore, the given function is linear.

3 0
3 years ago
What is the power of 10 when 0.000028 is written in scientific notation
Luden [163]
The power of 10 is -5 

Move the decimal point to the right until the first significant number and in this problem it is 2. It took 5 places to the right until going past the 2 and the number would be negative because going right past the decimal point will make any power negative. 
6 0
3 years ago
Graph a line that contains the point (6,-4)and has a slope of -2/3
NARA [144]

Answer:

Graph (6,-5) then graph (3,-3)

Step-by-step explanation:

Picture is help

8 0
3 years ago
Which has a value closest to 9?
almond37 [142]

Answer:

10

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Which graph represents the solution to the given system?<br> Y=-x+5<br> y= 1/4 x+10
jeka57 [31]

Answer:

See attachment

Step-by-step explanation:

The given system is :

y =  - x + 5

y =  \frac{1}{4}x + 10

Let us equate both equations and solve for x.

- x + 5 =  \frac{1}{4}x + 10

- 4x + 20 = x + 40

20 - 40 =x + 4x

- 20 = 5x

x =  - 4

y =  -  - 4 + 5 = 9

The the two lines of this system will meet at (-4,9)

The graph is shown in the attachment.

7 0
3 years ago
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