Answer:
m = 29/48
Step-by-step explanation:
Given that
x₂ = (y₂-y₁) +10 →(1
y₂ = y₁-x₁ → (2
y₁= 37
x₁ = 29
Now substitute the value of x₁ and y₁ into equation 2
y₂ = 37-29
y₂ = 8
Now substitute the value of y₂ and y₁ into equation 1
x₂ = (8-37) +10
x₂ = -19
As we know the slope (m) can be calculated as follows
m =(y₂ - y₁)/(x₂ - x₁)
m = (8- 37)/(-19 - 29)
m = (-29)/(-48)
m = 29/48
So our slope is 29/48
Answer:
Step-by-step explanation:
<em>Hey there!</em>
3x * x = 3x^2
3x * 2x = 6x^3
So 3x is a factor of 3x^2 - 6x^3.
<em>Hope this helps :)</em>
The answer would be 329.49
To withdraw means to take money out, so you would subtract.
A deposit is to add money so you would add money
I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.
Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.
Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.
We want the concentration of antifreeze to be 40% in the new solution, so we need to have
(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4
Solve for <em>x</em> :
0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)
0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24
0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18
0.1 <em>x</em> = 6
<em>x</em> = 6/0.1 = 60 gal
