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Gre4nikov [31]
3 years ago
6

Identify the linear function graph

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

The answer is choice B in the upper right hand corner.

Choice B is the graph that is a straight line and it's a single unbroken straight line. There are no gaps or jumps or any kinds of bends like choice A shows. Choice A is an absolute value graph, which is the result of gluing together two linear functions. Overall, graph A is considered nonlinear. Choices C and D are nonlinear as well.

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In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r
iren2701 [21]

Answer:

<em />f(x) = 1588.4x + 39000<em />

f(15) = 62826

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

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

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

a = \frac{70768 - 39000}{20 - 0}

a = \frac{31768}{20}

a = 1588.4

Next, is to determine the formula using:

y - y_1 = a(x - x_1)

<em>Considering :When x = 0; y = 39000, we have</em>

<em />y - 39000 = 1588.4(x - 0)<em />

<em />y - 39000 = 1588.4x<em />

<em>Make y the subject of formula</em>

<em />y = 1588.4x + 39000<em />

<em />

<em>Express y as a function of x</em>

<em />f(x) = 1588.4x + 39000<em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

f(x) = 1588.4x + 39000 becomes

f(15) = 1588.4 * 15 + 39000

f(15) = 62826

3 0
3 years ago
PLEASE HELP! it’s would be really appreciated
cluponka [151]

Answer:

46 degrees

Step-by-step explanation:

180 - 102 - 32 equals to 46

5 0
2 years ago
Sarah decides to take her six year old son to the circus. The price for the child's ticket is 4.75 dollars less than the price f
mariarad [96]
X + 4.75 = Adult's ticket price.
5 0
2 years ago
Read 2 more answers
What does the 6 stand for in 8,375,693.1? 0.6 6 600 6000​
Blababa [14]

Answer:

6 stand for 600(six hundred).

8 0
2 years ago
Read 2 more answers
A) Evaluate 20/101 - 20/99. Express your answer in simplest form.
gulaghasi [49]

Answer:

Rounded Answer: 0

Not Rounded Answer: -0.00198019802

Step-by-step explanation:

Rounded Answer:

20/101 = 0.19801980198

Round that to 0.2

20/99 = 0.2

0.2-0.2 = 0

Not Rounded Answer:

20/101 = 0.19801980198

20/99 = 0.2

Answer: -0.00198019802

3 0
2 years ago
Read 2 more answers
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