Answer:
The inverse of the function is;
x = (y + 2)/3
Step-by-step explanation:
Here in this question, we shall be calculating the inverse of a function.
The function is;
y = 3x - 2
Firstly, let w = x;
y = 3w -2
y + 2 = 3w
w = (y + 2)/3
Now replace w by x
x = (y + 2)/3
This is the inverse of the function
Answer:
25%
Step-by-step explanation:
The first doubling, from 20 to 40 occurs in a little more than 3 years, so the multiplier each year is a little less than 2^(1/3) ≈ 1.26. That is, each year is a little less than 26% more than the previous year.
The graph also goes near the point (8, 120), so grows by a factor of 6 in 8 years. That suggests a multiplier of 6^(1/8) ≈ 1.251. Each year is about 25.1% more than the previous year.
Both of these multipliers represent yearly growth rates near 25%.
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Using the "rule of 72", the product of doubling time and percentage growth is about 72. So, for a doubling time of 3 years, the percentage growth is predicted to be near 72/3 = 24 percent.
All of these estimates help you choose the correct answer: 25%.
Answer:
Using the quadratic formula to solve 5x = 6x^2 – 3, what are the values of x?
5x = 6x^2 – 3
Subtract 5x from both sides:
0 = 6x^2 – 5x – 3
a = 6, b = -5, c = -3
x = (-b ± √(b^2 - 4ac))/(2a)
x = (-(-5) ± √((-5)^2 - 4(6)(-3)))/(2(6))
x = (5 ± √(25 + 72))/12
x = (5 ± √(97))/12
Step-by-step explanation:
Answer:
- m∠L + m∠M = 90°
- sin(L) = 0.66913
- sin(M) = 0.74314
Step-by-step explanation:
The sum of the two angles is ...
m∠L + m∠M = 42° +48° = 90°
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A calculator can show you the sines of these angles.
sin(42°) ≈ 0.66913
sin(48°) ≈ 0.74314
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The two acute angles of a right triangle always have a sum of 90°.
The correct answer is C. Below par
The stock lost its value from 123% to 62%
