First add 2y to both sides
so 4 + 3x + 2y = 0
then subtract 4 from both sides
so 3x + 2y = -4
that is standard form
now subtract 3x from both sides
2y = 3x - 4
now divide by 2 on both sides
y = 1.5x - 2
This is solved for y and is slope intercept form
starting from original subtract 4 from both sides
so 3x = -2x -4
now divide by 3 on both sides
so x = -2/3x -4/3
this is solved for x
hope any of that is what you needed.
We can create two equations here:
(1) Volume = area of square * height of box
85.75 = s^2 h
(2) Cost = 3 * area of square + 1.5 * area of side box
C = 3 s^2 + 1.5 s h
From (1), we get:
h = 85.75 / s^2
Combining this with (2):
C = 3 s^2 + 1.5 s (85.75 / s^2)
C = 3 s^2 + 128.625 s-
Taking the 1st derivative and equating dC/ds =
0:
dC/ds = 6s – 128.625 / s^2 = 0
Multiply all by s^2:
6s^3 – 128.625 = 0
6s^3 = 128.625
s = 2.78 cm
So h is:
h = 85.75 / s^2 = 85.75 / (2.78)^2
h = 11.10 cm
So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm
The total cost now is:
C = 3 (2.78)^2 + 1.5 (2.78) (11.10)
C = $69.47
Answer:
m = y/x
Step-by-step explanation:
y-y = m(x-x)
simplify:
-2y = m(-2x)
simplify again
-2y = -2mx
divide to get rid of -2 and x
-2y = -2mx
----------------
-2x
y
- = m
x
Marcus has 5 bags of marbles. In each bag, there are 7 marbles. How many marbles does he have in all?
Hope this helps!!
Let's do it step by step:
"three-fifths of a" would be 3/5 multiplied by a, as that is how you find fractions of numbers, so we can write that as (3/5)a
"7 less" means we have to subtract 7 from (3/5)a, so we get (3/5)a - 7
Now all we need to do is make it equal to B, so your final answer is
(3/5)a - 7 = b
I hope this helps! I put the 3/5 in brackets just so you didn't mistake it as 3/(5a) :)
