Your family drives from Austin Texas to Tampa Florida. The trip is 1145 mi and lasts four days. How many miles should your famil
1 answer:
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Answer:
D.
Step-by-step explanation:
We are given the graph of the transformed tangent function.
As, we can see that the graph is shifted 2 units upwards.
That is, the parent function is translated 2 units up.
So, the new function will be of the form, .
Thus, options A and C are not correct.
Moreover, 'If a function f(x) has period P, then the function cf(bx) will have period .
Also, form the figure, we see that the period of the graphed function is .
Since, have period
.
So, function in option B will have period , which is not possible.
<em>Further, function in option D have period .</em>
Thus, the equation of the graphed function is, .
Answer:
x = 2
Step-by-step explanation:
The relevant rule of logarithms is ...
log(a/b) = log(a) -log(b)
This lets us combine the logs on the left to get ...
log((6 +7x)/(3x -2)) = log(5)
Taking anti-logs gives ...
(6 +7x)/(3x -2) = 5
6 +7x = 5(3x -2) . . . . . multiply by (3x -2)
7x +6 = 15x -10 . . . . . eliminate parentheses
8x = 16 . . . . . . . . . . . add 10-7x to both sides
x = 2 . . . . . . . . . . . . . divide by 8
The solution is x = 2.
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The graph shows the left side of the equation is equal to the right side for x=2.
