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Pavel [41]
3 years ago
15

Let f(x)=6/5x−1/2. Describe the transformations from the graph of f to the graphs of g(x)=−f(x) and h(x)=f(−x).

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

Answer:

g(x)=-6/5x+1/2

h(x)=-6/5x-1/2

Step-by-step explanation:

1).   g(x)=−f(x) ?

f(x)=6/5x−1/2

g(x)=−(6/5x−1/2)

<u>g(x)=-6/5x+1/2</u>

2). h(x)=f(−x) ?

f(-x)=6/5(-x)−1/2

f(-x)=-6/5x-1/2

h(x)=-6/5x-1/2

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Answer:

See below

Step-by-step explanation:

<h3>Continuation of the question</h3>

<u>Data in the table:</u>

<u>PH             4       5     6     7     8    9     10     11 </u>

<u>Bacteria    116   120  131  136  141  151  148   163</u>

  • <em>Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?</em>
<h3>Solution</h3>

<em>See attached for scatter plot</em>

We can see the chart is close to linear function. Let's build one based on data in the table

<u>The line will be in the form of:</u>

  • y = mx + b

<u>If we use two points and get the equation</u>

  • (4, 116) and (8, 141)

<u>Finding the slope:</u>

  • m = (141-116)/(8-4) = 25/4 = 6.25

<u>Then, finding y-intercept:</u>

  • 116 = 6.25*4 + b
  • b = 116 - 25 = 91

<u>So the line is:</u>

  • y = 6.25x + 91

<em>Note: This is approximate best fit graph and it is attached as well. Exact formula for the line is built by using different method and is very close to the one above</em>

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3 years ago
1. Nasim thinks of a number.
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Step-by-step explanation:

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2 years ago
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solniwko [45]

The correct answer is option D.The point 1.6 with bar will be lies between 1 and 2.

The image of the question is attached with the answer below:-

<h3>What is a number line?</h3>

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We can see in the image that A, B, C and D points are marked on the number line. The line is marked with real numbers that are integers.1.6 bar number will lie between 1 and 2 numbers.

Therefore the correct answer is option D.The point 1.6 with a bar will be lies between 1 and 2.

To know more about Number line follow

brainly.com/question/24644930

#SPJ1

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