Answer: y= - 4x+18
Step-by-step explanation:
Equation: y=mx+b
***remember: b is the y-intercept and m is the slope.
m=
3= x1
2= x2
6= y1
10=y2
m=
= 
= -4
m=-4
Now we have y=-4x+b , so let's find b.
You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:
(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.
(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.
Equation of the line: y=-4x+18
120/1500=x/100, x=8
So, you make 8% commision, meaning you now have to do this:
x/1300=8/100, so x=$104
Answer:
972π cm³
Step-by-step explanation:
Okay so this container is a sphere, so you're going to want to use the volume of a sphere equation V = (4/3) * π * r³. In this case, you've got the diameter (d = 18), so divide by 2 to get r = 9.
So now you have all the variables you need to solve. Substituting those values into the volume equation, you get:
V = (4/3) * π * 9³ = 972π cm³.
The system won't have a unique solution when what appears to be two lines is really only one line. The coefficients in an equation for a line only matter in ratio; if we multiply them all by the same non-zero scalar we'll still have the same line, of course with an infinite number of points on it, our infinite number of solutions.
2x - y = 8
6x - 3y = 4a
We need these to be the same equation, meaning they have to have all the same solutions. So we have to figure out the factor to multiply the first equation by to get the second.
That factor is obviously 3 because 3(2x)=6x and 3(-y)=-3y. So we need the constants in the same ratio,
3(8) = 4a
24 = 4a
a = 6
Answer: B. 6
