Answer: The answer is 720
Step-by-step explanation: I started off by guessing a random number, i picked 10. So i multiplied 12x10 and i got 120. I added 120 with 120 until i got something close enough (720.) I got it right on the test as well- :)
Answer:
use logarithms
Step-by-step explanation:
Taking the logarithm of an expression with a variable in the exponent makes the exponent become a coefficient of the logarithm of the base.
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You will note that this approach works well enough for ...
a^(x+3) = b^(x-6) . . . . . . . . . . . variables in the exponents
(x+3)log(a) = (x-6)log(b) . . . . . a linear equation after taking logs
but doesn't do anything to help you solve ...
x +3 = b^(x -6)
There is no algebraic way to solve equations that are a mix of polynomial and exponential functions.
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Some functions have been defined to help in certain situations. For example, the "product log" function (or its inverse) can be used to solve a certain class of equations with variables in the exponent. However, these functions and their use are not normally studied in algebra courses.
In any event, I find a graphing calculator to be an extremely useful tool for solving exponential equations.
Answer:
(0.6)
Step-by-step explanation:
the y intercept is determined by wherever x = 0
the ordered pair (0,6) has the x value equaling 0
therefore (0,6) represents the y-intercept
Answer:
8.5 cm
Step-by-step explanation:
I think because wouldn't you take the 0.085 · 100
(get mad if I'm wrong i might be)
Answer:
(h o k)(3)= 3
(K o h)(-4b)= - 4b
Step-by-step explanation:
Composition of a function and its inverse function returns the input
(h o k)(3)= 3
(K o h)(-4b)= - 4b
