Sum/difference:
Let
This means that
Now, assume that 
is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get
if again we assume x to be rational, we have
But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.
Answer:
26.39
Step-by-step explanation:
sin B = 4/9
B = inverse sin 4/9 = 26.387
..... 40.5 ...............
Answer:
x = 8^3
Step-by-step explanation:
To rewrite an equation with logs in exponential form, you need to know
logb(a) = m is equivalent to a= b^m
So given log8 (x) = 3 is equivalent to x = 8^3
Answer:
54$
Step-by-step explanation:
- To get the tax times the number to the percentage
- 50 * 8% = 4
- 50 + 4 = 54 $
