Answer:
18
Step-by-step explanation:
Let x represent smallest number and y represent second number.
We have been given that the biggest among three numbers is 2.4 larger than the smallest one. So biggest number would be 
.
We are also told that 15 times the smallest one is equal to 12 times the second and 10 times the third. We can represent this information in equations as:
Upon solving 2nd equation, we will get:
Therefore, the smallest number is 4.8.
The biggest number would be 
.
Upon substituting in equation (1), we will get:
Therefore, 2nd number would be 6.
Let us find sum of all numbers as:
Therefore, the sum of all 3 numbers would be 18.
(z^6 - 8)(z^6 + 8) is the answer.
If you verify this by multiplying, you will see that:
(z^6 - 8)(z^6 + 8) = z^(6+6) + 8z^6 - 8z^6 - 64
= z^12 + 0 - 64
= z^12 - 64
Hope this helps,
Brian
Answer:
If both integers are negative then the sum is always negative.
Step-by-step explanation:
Answer:
The simplified form of the expression is 
.
Step-by-step explanation:
The expression is:
The division rule of exponents is:
The negative exponent rule is:
Simplify the expression as follows:
![\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}=[x^{-3-4}]\times [y^{2-6}]](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B-3%7D%5Ccdot%20y%5E%7B2%7D%7D%7Bx%5E%7B4%7D%5Ccdot%20y%5E%7B6%7D%7D%3D%5Bx%5E%7B-3-4%7D%5D%5Ctimes%20%5By%5E%7B2-6%7D%5D)
Thus, the simplified form of the expression is .
Line y=x has a slope of m=(1/1)=1
The line with slope m=1 passing through (x1,y1)=(2,4) has the equation
(y-y1)=x-x1
=>
y-4=x-2
=>
y=x+2
