y = x + 4/x
replace x with -x. Do you get back the original equation after simplifying. if you do, the function is even.
replace y with -y AND x with -x. Do you get back the original equation after simplifying. If you do, the function is odd.
A function can be either even or odd but not both. Or it can be neither one.
Let's first replace x with -x
y = -x + 4/-x = -x - 4/x = -(x + 4/x)
we see that this function is not the same because the original function has been multiplied by -1
. Let's replace y with -y and x with -x
-y = -x + 4/-x
-y = -x - 4/x
-y = -(x + 4/x)
y = x + 4/x
This is the original equation so the function is odd.
Answer:
B) 
Step-by-step explanation:
First simplify the radical on the right.
is equal to 
, because 25 * 3 is 75, so we can separate the square roots into the product of these two square roots.
Then we know 
is just equal to 25, which means the simplified version of is 
.
Then we can use this new representation to finish solving.
, so the answer would be B
Answer:
a)
a1 = log(1) = 0 (2⁰ = 1)
a2 = log(2) = 1 (2¹ = 2)
a3 = log(3) = ln(3)/ln(2) = 1.098/0.693 = 1.5849
a4 = log(4) = 2 (2² = 4)
a5 = log(5) = ln(5)/ln(2) = 1.610/0.693 = 2.322
a6 = log(6) = log(3*2) = log(3)+log(2) = 1.5849+1 = 2.5849 (here I use the property log(a*b) = log(a)+log(b)
a7 = log(7) = ln(7)/ln(2) = 1.9459/0.6932 = 2.807
a8 = log(8) = 3 (2³ = 8)
a9 = log(9) = log(3²) = 2*log(3) = 2*1.5849 = 3.1699 (I use the property log(a^k) = k*log(a) )
a10 = log(10) = log(2*5) = log(2)+log(5) = 1+ 2.322= 3.322
b) I can take the results of log n we previously computed above to calculate 2^log(n), however the idea of this exercise is to learn about the definition of log_2:
log(x) is the number L such that 2^L = x. Therefore 2^log(n) = n if we take the log in base 2. This means that
a1 = 1
a2 = 2
a3 = 3
a4 = 4
a5 = 5
a6 = 6
a7 = 7
a8 = 8
a9 = 9
a10 = 10
I hope this works for you!!
Answer: the expression 12f + 24 represents 12 times a quantity, added to 24.
Expplanation.
The <em>expression 12f + 24</em> is an algebraic <em>expression</em>, especifically a first degree binomial; this is, a polynomial of two terms, whose maximum power is 1.
The algebraic expressions are used to <em>represent</em> word statements in mathematical language.
You can analyze each term of the expression and then tell what the total expresssion represents:
- The first term <em>12f</em>, where f is a variable with degree 1 (the exponent of the variable), <em>represents</em> the multiplication of a quantity (represented by the variable f) by 12.
- 24 is the constant term, it <em>represents</em> an constand addend.
- Hence, the total <em>expression represents</em> the multiplication of a quantity by 12, and, after the multplication is done, added with 24.
Answer:
14
Step-by-step explanation:
