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:
Step-by-step explanation:
39). y = 
x + 3
40). m = 
y - 
= m( x - 
)
(- 7, 5)
( - 12, 4)
m = ( 4 - 5 ) / ( - 12 + 7) = 1/5
y - 5 = (1/5)(x + 7) ⇒ y = 
x + 6.4
Answer:
$2,373.23
Step-by-step explanation:
-Tax refund is determined by comparing your total income tax to the amount that was withheld for federal income tax.
-Assuming that the amount withheld for federal income tax was greater than your income tax for the year, you will receive a refund for the difference.
#Refund =Withheld -Actual Tax liability=$15345.21-$12971.98=$2,373.23
Hence James' tax refund will be $2,373.23
Answer:
2^{3} +1⋅4−3 = 9
2^{0}+10−4⋅2 = 3
3+5^{2} -6⋅4 = 4
Step-by-step explanation:
Step-by-step explanation:
- 0.06
- 60%
- 2/3
- 3/4
hope it's right :)
