Answer:
See Below.
Step-by-step explanation:
By the definition of the logarithm, if we have:
This means that we have some value <em>y</em> such that:
If <em>x</em> is -8, then:
As you can see,<em> </em>there is no real value* that can make the result negative. No matter what the value of <em>y</em> is, we will simply get another positive value.
So, -8 or any other negative value or zero is not included in our domain. 0 is not included because, likewise, we can’t raise 2 to a power and get 0 as a result.
*There is no <em>real</em> value for which 2 raised to <em>y</em> is -8. However, as you will learn much much later, there are in fact <em>infinitely</em> many <em>complex </em>(imaginary) solutions such that 2 raised to <em>y </em>is indeed -8.
Answer:
c
Step-by-step explanation:
So, first, to make things easier, you should convert these mixed fractions into improper fractions so it's easier to deal with later. The improper fractions will be 51/10 divided by 32/5.
Since you're are dividing fractions, there is a rule when dividing fractions, you have to multiply the number by the reciprocal, meaning the second fraction needs to be flipped and the divide signs will turn into a multiply sign. It will be:
51/10 times 5/32
This is the time where you simply where you can:
51/2 times 1/32
After simplifying, you times the numerator together (the top number of the fraction) and the denominator (the bottom number of the fraction).
=51/64
Answer:
Step-by-step explanation:
x≥3
x<5
x≤ 11/4
x>7
x<2
If Kyle wants to put 6 stickers on each of his 5 classroom notebooks, then we simply multiply 6 * 5 to find out how many stickers he will use in total.
6 * 5 = 30
Kyle used 30 stickers total.
Then, to find out how many sheets he used, we will simply divide the total amount of stickers (T) by the amount of stickers on a sheet (S).
T = 30
S = 10
30 / 10 = 3
Kyle used 3 sheets of stickers for his notebooks.
Hope that helped =)
