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MAXImum [283]
3 years ago
11

50 POINTS!!!

Mathematics
1 answer:
Goryan [66]3 years ago
3 0

9514 1404 393

Answer:

  • f(x) = x
  • g(x) = -2x+1
  • f(x) -(-g(x)) = -x+1
  • f(x) +g(x) = -x+1
  • f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not

Step-by-step explanation:

We can define a couple of linear functions as ...

  f(x) = x

  g(x) = -2x+1

Then the reflected function -g(x) is ...

  -g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

  f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

  f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are <em>a property of addition</em>, so do not depend on the nature of f(x) or g(x). They will hold for every function.

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A recent survey of 128 high school students indicated the following information about release times from school. -35 percent wan
wlad13 [49]

Answer:

The interval is for those that want to get out earlier is between 43 student to 47 students

The interval is for those that want to get out later is between 48 student to 50 students

Step-by-step explanation:

Given that:

sample size n=128

Probability of those  that want to get out earlier = 0.35.

The mean  =  n × probability = 0.35 × 128 = 44.8 ≈ 45

Margin of error = 4% = 0.04 × 44.8 = 1.79 ≈ 2

Therefore the interval = mean ± Margin of error = 45 ± 2 = (43, 47)

The interval is for those that want to get out earlier is between 43 student to 47 students

Probability of those  that want to get out later = 0.39.

The mean  =  n × probability = 0.39 × 128 = 49.92 ≈ 50

Margin of error = 4% = 0.04 × 50 =  2

Therefore the interval = mean ± Margin of error = 50 ± 2 = (48, 52)

The interval is for those that want to get out later is between 48 student to 50 students

the group that wants to get out of school earlier to win after all the votes are counted if those that have no opinion decide that they want to go earlier

5 0
3 years ago
Find the value of the expression
MArishka [77]

The value would be -35.357.

8 0
3 years ago
Last Question plz<br> Need help
patriot [66]

Answer:

Im going to answer your question in the next note.

5 0
3 years ago
Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standi
torisob [31]

Andrew can reach a maximum of 24.6ft high up the wall.

The right-angled triangle formed can be solved using the sine ratio. that is

sin(72^\circ})=\dfrac{h}{20}

where h is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for h, we get

0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft

Since Andrew can reach an extra 5ft above the point where the ladder rests against the wall, the maximum height Andrew can paint is

(19.632+5)ft=24.632ft\\\\\approx24.6ft

Another solved word problem on trigonometry can be found here: brainly.com/question/12146092

3 0
3 years ago
Divide the polynomial (x^2 + 3x + 5) by 2x + 1​
umka21 [38]

Answer:

50888888888888888888+++++

7 0
3 years ago
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