Answer: 12
Step-by-step explanation:
For this counting question, we need to figure out the possible choices for each selection.
For main protein, there are four options, so we can make four slots
_ _ _ _
For beans, there's three options, so we can make three slots
_ _ _
Doing some casework, we know that 4*3 = 12, which is the answer.
8x^4 + 2x^2 - 45 = (2x^2 + 5)(4x^2 - 9) = (2x^2 + 5)(2x + 3)(2x - 3)
(a) 2x^2 + 3....no
(b) 2x^2 + 5...yes
(c) 2x - 3....yes
(d) 4x^2 - 9)...no...not when it is fully factored
Answer: Women =23. Men =31. All together equals =54
Step-by-step explanation:
Answer:
½
Step-by-step explanation:
cot(2x) = 1/(tan(2x))
csc(x) = 1/(sin(x))
cot(2x)/csc(x) = sin(x)/tan(2x)
As x --> 0 this fraction is 0/0 which is an indeterminate form.
Using L'Hopital
Derivatives:
sin(x) ---> cos(x)
tan(2x) ---> 2sec²(2x)
cos(x)/(2sec²(2x))
= ½ as x --> 0

2/3 will not be included in the domain of g/f
Step-by-step explanation:
Given functions are:

We have to calculate (f/g)(x) first
The steps will be as follows:

Putting the values of functions

Domain of g/f:

The function will be undefined if the denominator is zero.
To find the domain we will put the denominator equal to zero
So,

Hence, the function will be undefined on x=2/3 so 2/3 will not be included in the domain of (f/g)(x)
<u>Answer:</u>

2/3 will not be included in the domain of g/f
Keywords: Domain, Operations on Functions
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