Answer:
y = 
x
Step-by-step explanation:
the equation of a line passing through the origin is
y = mx ( m is the slope )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line
m = 
= 
=
y = x ← equation of line
Answer:
-10,10
Step-by-step explanation:
The given quadratic equation is
The discriminant of this equation is given by;
where a=k, b=20, c=k
For rational solutions, the discriminant must be zero.
Simplify to get:
This implies that:
Take square root to get:
Answer:
The minimum cost is $9,105
Step-by-step explanation:
<em>To find the minimum cost differentiate the equation of the cost and equate the answer by 0 to find the value of x which gives the minimum cost, then substitute the value of x in the equation of the cost to find it</em>
∵ C(x) = 0.5x² - 130x + 17,555
- Differentiate it with respect to x
∴ C'(x) = (0.5)(2)x - 130(1) + 0
∴ C'(x) = x - 130
Equate C' by 0 to find x
∵ x - 130 = 0
- Add 130 to both sides
∴ x = 130
∴ The minimum cost is at x = 130
Substitute the value of x in C(x) to find the minimum unit cost
∵ C(130) = 0.5(130)² - 130(130) + 17,555
∴ C(130) = 9,105
∵ C(130) is the minimum cost
∴ The minimum cost is $9,105
It goes by 8!
If u see, 4 + 8= 12 +(another) 8 = 20! It skips 8 every time!
If u were to continue it, 20 + 8 = 28 and so on!
The difference is the sum of the number totalled.
Hope this helps!
Answer:
Everything except the last one about rigid transformations. Rigid transformations change the shape in size or the shape completely.
