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IRISSAK [1]
4 years ago
8

What is the difference between a linear function and a nonlinear function? Explain what each looks like when represented as a ta

ble and as a graph.
Mathematics
2 answers:
Ivenika [448]4 years ago
7 0

Answer:

On a graph, it is easy to remember whether a function is linear or nonlinear. Nonlinear means the graph is not a straight line. The graph of a nonlinear function is a curved line. If it is straight, then it is linear. On a table, you can determine whether a function, in tabular form, is nonlinear by observing that the jump in y varies for each unit of change in x.

Step-by-step explanation:

This is NOT the sample response. Please do not use the sample response as it is not the actual answer and teachers may find out you are not using your own responses.

Degger [83]4 years ago
6 0

Answer:

<h3>Sample Answer:<em> </em></h3><h3><em>A linear function has a constant rate of change, while a nonlinear function does not. For a table of values to be linear, the outputs must have a constant rate of change as the inputs increase by 1. On a graph, the function must be a straight line to be linear.</em></h3>

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Y is directly proportional to x when y=30, x=6
rosijanka [135]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

\therefore \:  y \:  \alpha \:  \: x \\ \therefore \:  y =  kx ...(1) \\ plug \: y = 30 \: and \: x = 6  \: in \: eq \: (1)\\ 30 = k \times 6 \\ k =  \frac{30}{6}  \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\  \huge \red{ \boxed{y = 60}}

4 0
3 years ago
How many rays can you name using the points shown?​
andre [41]

Answer:

3

Step-by-step explanation:

BC

AC

BA

3 0
3 years ago
Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) an
stepladder [879]

Answer:

y = 4/3x + 1.

Step-by-step explanation:

The equation of the lines passing through (2,1) and (6,7) is:

y - 7 = (7-1)/(6- -2)(x - 6)

y - 7 = 6/8(x - 6)

y = 3/4(x - 6) + 7

y = 3/4x + 5/2.

So the line perpendicular to it has slope -1/3/4 = -4/3:

y - 9 = -4/3(x  + 6)

y = -4/3 x  - 8 + 9

y = 4/3x + 1.

6 0
3 years ago
Find the exact value of T Image below
Elanso [62]

Answer:

a) 1/800 or 0.00125

b) i) 0.0013

ii) 0.001

c) 60%

Step-by-step explanation:

T = [tan(2×30)+1][2cos(30)-1] ÷ (y²-x²)

T = (tan60 + 1)(2cos30 - 1) ÷ (41² - 9²)

T = (sqrt(3) + 1)(sqrt(3) - 1) ÷ 1600

T = (3-1)/1600

T = 2/1600

T = 1/800

T = 0.00125

Error: 0.002 - 0.00125

0.00075

%error

0.00075/0.00125 × 100

60%

4 0
3 years ago
Which expression is equivalent to 4 (x + 2)?<br> 6 x<br> 4 (x) + 4 (2)<br> 4 (x) + 4<br> 8x
Andrei [34K]
The answer is b - 4(x) + 4(2)
8 0
3 years ago
Read 2 more answers
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