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Bas_tet [7]
3 years ago
6

.

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0

Answer:

b. g(x) = ƒ(3x)

Step-by-step explanation:

We can use the graph to find the transformation which has been performed to obtain g.

g(x) is more stretched than x which means the function values are multiplied by some integer to obtain g(x). <u>This eliminates the options a and d.</u>

Now to check which factor is used to transform the function f(x) we can divide the x-coordinates of the points of new and old function.

So,

6/2 = 3

-6/-2 = 3

The function is stretched by a factor of 3.

Hence, the correct answer is:

b. g(x) = ƒ(3x)  ..

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8 0
2 years ago
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A newspaper reports the following changes in the temperature of a city over 4 days:
Alexeev081 [22]

9514 1404 393

Answer:

  a) (2.64 -2/9 -0.35 +5/8)/4

  b) perform the sum, then the division, then round as needed

Step-by-step explanation:

a) The average of a number of items is their sum, divided by the number of items. Here, we want the average of 4 changes, so we compute it as the sum of the changes divided by 4.

  average change = (2.64 -2/9 -0.35 +5/8)/4

__

b) My calculator is capable of adding these numbers directly. For a result rounded to the nearest hundredth, it can be a good idea to represent the fractions using at least 3 decimal digits.

So, the steps would be ...

  • convert fractions to their decimal equivalents, using 3 decimal digits
  • add up the values
  • divide by 4
  • round to hundredths

Performing these steps, we get ...

  average change = (2.64 -0.222 -0.35 +0.625)/4 = 2.693/4

  average change ≈ 0.67 . . . degrees

The average daily temperature change of a city was 0.67 degrees.

6 0
3 years ago
Jon is in a raft 100m from the base of a 54m cliff. What is the angle of depression from the he top of the cliff to the raft? Le
kvv77 [185]

Answer:

28.4 degrees

Step-by-step explanation:

In the diagram attached

Height of the cliff, AB=54 m

Distance of the raft to the base of the cliff, AC=100m

We want to determine the angle of depression from the top of the cliff to the raft. This is angle OBA.

\angle OBA = \angle BAC $ (Alternate Angles)\\Therefore, in the right triangle ABC\\\tan A =\dfrac{BC}{AC}\\ \tan A =\dfrac{54}{100}\\\tan A =0.54\\A=\arctan 0.54\\A=28.4^\circ$ (to the nearest tenth)

The angle of depression from the top of the cliff to the raft is 28.4 degrees correct to the nearest tenth.

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3 years ago
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