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Nana76 [90]
3 years ago
14

Which of the following is an even function?

Mathematics
1 answer:
12345 [234]3 years ago
6 0

Answer:

  • B. g(x) = 2x² + 1

Step-by-step explanation:

<u>Even function has following property:</u>

  • g(x) = g(-x)

<u>It is easy to show this works with the second choice only. All the others don't work:</u>

  • g(x) = (x - 1)² + 1
  • g(-x) = (-x - 1)² + 1

This is not correct as x - 1 ≠ -x - 1 so as their squares, so g(x) ≠ g(-x)

The last two choices are not even similarly.

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FrozenT [24]

Answer:

The answer is B: (1,2)

Step-by-step explanation:

(solved using elimination method)

-2x+y=0

y=x+1

-x+y=1

-2x+y=0

x+y=-1

-x=-1

x=1

-1+y=1

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5 0
3 years ago
Solve for the missing length and the other two angles in the triangle below
Klio2033 [76]

Answer:

AC = 3.72 units

Angles:

A = 132.6°

C = 27.4°

Step-by-step explanation:

AC² = 5² + 8² - 2(5)(8)cos(20)

AC² = 13.82459034

AC = 3.718143399

3.718143399/sin20 = 8/sinA

sinA = 0.7358944647

A = 180 - 47.38285134

A = 132.6171487

3.718143399/sin20 = 5/sinC

sinC = 0.4599340405

C = 27.38285134

5 0
3 years ago
What is the value of 1/2 + (-5/6) + 1/4?<br> 1. -7/12<br> 2. -1/12<br> 3. 1/12<br> 4. 1 7/12
algol [13]

Answer:

The answer is 4

Step-by-step explanation:

1/2+(-5/6)= 1 1/3

1 1/3 + 1/4= 1 7/12

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Answer:

Here is some helpful information from my mini lessons.

Step-by-step explanation:

If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides. Here you'll learn that the ratio of the perimeters of similar figures is equal to their scale factor and that the ratio of their areas is equal to the square of their scale factor. If two polygons are similar, then the ratio of the lengths of any two corresponding sides is called the scale factor. This means that the ratio of all parts of a polygon is the same as the ratio of the sides.

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