Answer:
[(1/12)(5/5) + (1/20)(3/3)](x hours) = 1
(5/60 + 3/60)x = 1
(8/60)x = 1 we can reduce 8/60 by dividing out a 4
(2/15)x = 1 x both sides by 15/2
x = 15/2
x = 7 1/2 or 7.5 hours
Answer:no
the answer is c
Step-by-step explanation:
Answer:
Given functions,


Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))


Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))


Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))




Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)
You have to take $8,550 times 0.12 (12%) to find out the number it is being decreased by.
8,550 x 0.12 = 1,026
And then, you have to subtract 1,026 from 8,550 three times for three years and your answer becomes 5,472.
$5,472
Answer:
(6, 9 ) and r = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 18y + 108 = 0
Rearrange the x- terms and the y- terms together and subtract 108 from both sides, that is
x² - 12x + y² - 18y = - 108
To obtain standard form use the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81
(x - 6)² + (y - 9)² = 9 ← in standard form
with centre = (6, 9 ) and r =
= 3