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Tom [10]
3 years ago
11

20 to 25 percent change

Mathematics
2 answers:
inna [77]3 years ago
7 0
A change from 20 to 25 represents a positive change (increase) of 25% Percent change = [(20 - 25) / 20] x 100 = 25 % (increase)Where: 20 is the old value and 25 is the new value. In this case we have a positive change (increase) of 25 percent because the new value is greater than the old value.

Hope this helps :)

Korvikt [17]3 years ago
4 0
Percent change=100 times change/original
change=new-origianl

change=25-20=5
original=20

percent change=100 times 5/20-500/20=25
answer is 25% change
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  • See below

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f(x) is quadratic function and g(x) is linear (since AP in the right column).

<u>Find the equation of the function f(x), use the points on the graph:</u>

  • f(x) = ax² + bx + c
  • c = 5 as the y-intercept is (0, 5)
  • a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
  • a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4

<u>The function is:</u>

  • f(x) = -x² + 4x + 5

Find the equation of g(x)

<u>Find the slope of g(x):</u>

  • m = (1 - 7)/(-1 + 4) = -2

<u>Use (-4, 7) to find its equation:</u>

  • y - 7 = -2(x + 4)
  • y = -2x + 7 - 8
  • y = -2x - 1
<h3>See the required comparison below</h3>

<u>The y-intercepts:</u>

  • f(x) ⇒ 5,
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  • -5 < - 1

<u>Values at x = 3:</u>

  • f(3) = -3² + 4(3) + 5 = 8
  • g(3) = -2(3) - 1 = - 7
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<u>Average rate of change in the interval [2,5]:</u>

  • f(x) ⇒ (0 - 9)/(5 - 2) = -3
  • g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
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<u>Max of function in the interval [-5, 5];</u>

  • f(x) ⇒ 9, vertex of the function
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