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:
Binomial Distribution
Step-by-step explanation:
In this case there are only two possible outcomes that is either the processor requires repair or does not require.
In such cases binomial distribution is beneficial to use.
Binomial Distribution is simply the probability of failure or success in an experiment that is repeated multiple times.
for binomial to be used following three conditions are to be used:
1. Fixed number of trails
2. Each trial or observation is independent
3. probability of success is exactly same
since there are 180 degrees in a triangle so :
65+72+y=180 add like terms
137 + y=180 now subtract 137
y= 180-137
y=43 degrees
A, b, d. Dilation is NOT <span>an </span><span>isometry</span>
Answer:
2/3
Step-by-step explanation:
Look at what you are getting on the right hand question. 10a +10b has a common factor that can be pulled out. It is 10
10a + 10b = 10(a + b)
Now look at the denominator
9x - 9y = 9(x -y)
There are a lot of possible answers.
Mine would be to multiply 3/5 * 10/9
so
(10a + 10b)/(9x - 9y) = 2/3
