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 .
Answer:
y=5x
Step-by-step explanation:
The table is given as:
x | y
2 | 10
4 | 20
6 | 30
8 | 40
A proportional relation satisfy the relation: 
We can substitute any x value with the corresponding y-value and solve for k.
When x=2,y=10
This implies that:
Divide both sides by 2 to get:
Hence the equation is 
1.47 can be described as a decimal.
Answer:
y=-3/4x-5
Step-by-step explanation:
m=y2-y1/x2-x1
m=1-(-5)/-8-0
m=1+5/-8
m=6/-8
m=-3/4
y-y1=m(x-x1)
y-(-5)=-3/4(x-0)
y+5=-3/4x
y=-3/4x-5
Answer:
Choice B and Choice C
Step-by-step explanation:
Hello! This is how I solved this question:
(10 x 8 x 2) + (3 x 3 x 4) = 160 + 36 = 196ft^3
(10 x 3 x 2) + (5 x 4 x 2) = 60 + 40 = 100ft^3
(8 x 4 x 2) + (3 x 6 x 2) = 64 + 36 = 100ft^3
(8 x 10 x 3) + (4 x 5 x 2) = 240 + 40 = 280ft^3
Choice B and Choice C are the same values, and knowing that you need two of the same values for the volume of the figure must be the same. Giving you your two answers from simply multiplying and adding the answers.
Hope this helps, don't hesitate to ask if you have additional inquiries!
