<u>Part 1</u>
The value of y is twice that of x, so the equation is y = 2x.
<u>Part 2</u>
Substituting in x = 14, we get y = 2(14) = 28.
Answer:
your answer is 4 = t
Step-by-step explanation:
add 2 to 14 then divide the 4 to the 16 then you get your answer
Answer: 36 years
Step-by-step explanation:
Exponential equation to represent growth:-
, where A is the initial value , r is the rate of growth and t is the time period.
Given : A rare coin appreciates at a rate of 5.2% a year. If the initial value of the coin is $500.
i.e. Put A= 500 and r= 0.052 in the above formula.
The amount after t years:
Inequality for value cross $3,000 mark:
Divide both sides by 500
Taking log on both sides , we get
Hence, it will take approx 36 years to cross the $3,000 mark.
Answer: The maximum revenue is $1,000,000.
The function that is given is a quadratic equation and the graph would be an upside down parabola.
Therefore, the maximum revenue would be at the vertex of the parabola.
To find the vertex, we can use the expression -b/2a to find the x-value.
It would be -4000/2(-4) = 500
Now, input 500 for p and you will get a revenue of 1,000,000.
Answer:
- (fog)(3) = f(g(3)) = f(12) = 60
Step-by-step explanation:
Given
Finding (fog)(x)
(fog)(x) = f(g(x))
(fog)(x) = f(x+9)
(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)
(fog)(x) = 5x+45
Finding (gof)(x)
(gof)(x) = g(f(x))
(gof)(x) = g(5x)
(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)
Finding (fog)(3)
(fog)(3) = f(g(3))
substitute x = 3 in the g(x)=x+9
g(x) = x+9
g(3) = 3+9
g(3) = 12
so
(fog)(3) = f(g(3)) = f(12)
now substitute x = 12 in f(x) = 5x
f(x) = 5x
f(12) = 5(12)
f(12) = 60
Thus,
(fog)(3) = f(g(3)) = f(12) = 60
