Slope-intercept form is y=mx+b, so we simply have to solve for y...
3y+5x=-15 subtract 5x from both sides
3y=-5x-15 divide both sides by 3
y=-5x/3-5 or more neatly in my opinion...
y=(-5x-15)/3
Answer:
As we know:
Direct variation => y = k*x, k is constant ( y/x = k = constant)
Inverse variation => y = k/x, k is constant (y*x = k = constant)
X - 1 2 5 10
Y - 6 12 30 60
Check the first 2 pair of X, Y:
(the remaining pair of value would show the same tendency)
X1 x Y1 = 1 x 6 = 6
X2 x Y2 = 2 x 12 = 24
=> X x Y is not a constant
=> Not an inverse variation.
=> B and D is incorrect
Otherwise, we have:
Y1/X1 = 6/1 = 6
Y2/X2 = 12/2 = 6
=> Y/X = 6
=> A direct variation with k = 6
=> y = 6x
=> Option C is correct
Hope this helps!
:)
<span>Well, think of it this way? How many times does 5 go into 9?
5 * 1 = 5
5 * 2 = 10
So 5 goes into 9 one time. Then you have to subtract that 5 from 9 to be left with your fraction value.
1 and 4/5 is your mixed number.</span>
Answer:
C .10
Step-by-step explanation:
Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.
The volume of the piece can be calculated as,
It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,
This is the cost (in dollars) for 1 piece.
Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,
Thus, the total prototypes will cost around $60.75