Answer:
1. y = (⅔)x - 3
2. y = 3x + c
3. 1) non-proportional
2) can be proportional if c = 0
Step-by-step explanation:
1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?
y = (⅔)x - 3
2. What is the equation of a line that has a slope of 3?
y = 3x + c
3. Lable the 2 equations as proportional or non-proportional and why.
A proportional relation should pass through the origin, i.e the y-intercept should be 0
Answer:
x= 3/2 or 1.5
Step-by-step explanation:
First of all, you can take out the parenthesis because 8x is subtracting 2x-3.
8x-2x-3=12
6x-3=12
+3 +3
6x= 15
6x/6= 15/6
x= 3/2 or 1.5
Hope this helps!
Answer:288pi
Step-by-step explanation:4/3pir^3 6^3*4/3*pi 216*4/3*pi 288pi
Another triple integral. We're integrating over the interior of the sphere
Let's do the outer integral over z. z stays within the sphere so it goes from -2 to 2.
For the middle integral we have
x is the inner integral so at this point we conservatively say its zero. That means y goes from 
and 
Similarly the inner integral x goes between 
So we rewrite the integral
Let's work on the inner one,
There's no z in the integrand, so we treat it as a constant.
So the middle integral is
I gotta go so I'll stop here, sorry.
Hello from MrBillDoesMath!
Answer: 1/12
Discussion:
We solve 5/12 + x = 1/2 for x. Begin by subtracting 5/12 from each side
5/12 - 5/12 + x = 1/2 - 5/12
0 +x = 6/12 - 5/12 (as 1/2 = 6/12)
So x = 1/12
Regards, MrB
