Answer:
The <u>distance</u> <em>between</em> the two given points is equal to √85.
Step-by-step explanation:
Let's recall what the distance formula is:
We are defined our two points as:
- (x₁, y₁) → (1, -7)
- (x₂, y₂) → (7, 0)
We can rewrite this into our different "variables":
- x₁ = 1
- y₁ = -7
- x₂ = 7
- y₂ = 0
Now given our distance formula and our variables, we can find the distance between the two points:
∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.
Hope this helps!
The most profitable investment for a candy shop that earns $1 profit per pound of candy is "Machine with $8 per hour operating cost, producing 14 pounds of candy per hour".<span>
</span>
If John charge $12 then he has 14 students, and he gets $ 14*12,
If he increases on $2(12+2) , he loses 1 student (14-1), gets (12+2)*(14-1)
if he increases on he loses 2 students (14-2) gets (12+2*2)(14-2)
2+2 (12+2*2)
if he increases 2*3 he loses 3 students, (14-3) gets (12+2*3)(14-3)
2x*3 (12+2*3)
and so on......
if he increases 2*x, he loses x students, (14-x)left, gets (12+2x)(14-x)
(12+2x)
So , his revenue in general =
(12+2x)(14-x)=12*14-12x+28x-2x²=-2x²+16x+168
<em> I think it should look like this
</em>c(x)= -2x²+16x+168
Answer:
F(2x+3) = 12/(2x+3) +1/2
Step-by-step explanation:
Put the argument of the function where the variable is. You can simplify if you want, but the original function definition is not simplified, so we assume it is not required.
F(x) = 12/x + 1/2
Put (2x+3) where x is:
F(2x+3) = 12/(2x+3) + 1/2
_____
<em>Comment on the function</em>
If you intend f(x) = 12/(x +1/2), then you would do the same thing: put (2x+3) where x is. In this case, you could combine the +3 and the +1/2, if you want.
... F(2x+3) = 12/((2x+3) +1/2) = 12/(2x +3.5)