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melamori03 [73]
3 years ago
7

If Fx) and G(X) are inverse functions, which statement must be true?

Mathematics
1 answer:
lawyer [7]3 years ago
8 0

Answer: F(G(x))=x

Step-by-step explanation:

I just took the test and I got it right!

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Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an i
pashok25 [27]

Answer:

0.105 = 10.5% probability that an accident results in a death.

Step-by-step explanation:

What is the probability that an accident results in a death?

5% of 60%(sunny)

25% of 20%(foggy)

12.5% of 20%(rainy)

So

p = 0.05*0.6 + 0.25*0.2 + 0.125*0.2 = 0.105

0.105 = 10.5% probability that an accident results in a death.

6 0
2 years ago
Which of the following represents a function that is reflected over the x-axis and shifted up 3
Travka [436]

Answer:

Option 2.

Step-by-step explanation:

f(x) = - x^2 + 3

The parent function is x^2

- the '-'  before the x^2 reflects it in the x-axis,  and the + 3 shifts it up 3 units.

7 0
3 years ago
For each right triangle below, find the missing side (Pythagorean’s Theorem) and the missing angle (Angle Sum theorem.)
valkas [14]

Answer:

a=21.2

n=√29

Step-by-step explanation:

90+68.2+a=180

a+158.2=180

a=21.2

2^2+5^2=n^2

4+25=n^2

n^2=29

n=\sqrt{29}

3 0
2 years ago
Triangle ABC underwent a sequence of transformations to give triangle A′B′C′. Which transformations could not have taken place?
IrinaVladis [17]

Answer:

C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x

Step-by-step explanation:

Let us assume that the coordinate of A in triangle ABC is A(x, y)

A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).

If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)

B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).

If a reflection across the line y axis is then done, the new coordinate is at

A"(-x, -y)

C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).

If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)

D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).

If a reflection across the line x axis is then done, the new coordinate is at

A"(-x, -y)

Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'

3 0
3 years ago
Read 2 more answers
Find the variance of the given data rounded to the nearest hundredth 3,4,5,7,10,12,15
True [87]

Answer:

(3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8

(3^2 + 4^2 + 5^2 + 7^2 + 10^2 + 12^2 + 15^2)/7 - 8^2 = 17.14285714


4 0
3 years ago
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