Answer:
5 months
Step-by-step explanation:
We assume that y represents production capacity, rather than <em>increase</em> in production capacity. Then we want to solve the 6th-degree equation ...
x^6 -25x^4 +199x^2 -4975 = 0
This can be factored in groups as ...
x^4(x^2 -25) + 199(x^2 -25) = 0
(x^4 +199)(x^2 -25) = 0
This has 4 complex solutions and 2 real solutions.
x^2 = 25
x = ±5
The duration required for capacity to reach 4975 units is 5 months.
3 sevenths plus 2 sevenths equals 5 sevenths
3/7 + 2/7 = 5/7 because you're adding 3 and 2 which gives you 5.
Answer:
-1/5x -4/5 = y
Step-by-step explanation:
f(x) = -5x -4
y = -5x-4
Switch x and y
x = -5y -4
Solve for y
Add 4
x+4 = -5y
Divide by -5
-1/5x - 4/5 = -5y/-5
-1/5x -4/5 = y
Answer:
52.5
Step-by-step explanation:
You would use the Pythagorean theorem to solve this. Using the formula,
a^2 + b^2 = ^2
You would have an equation of 50^2 + 16^2 = c ^2.
50^2 is 2500, and 16^2 is 256.
There, you have 2500+256 = c^2
add those together, and you have 2756.
Now, you have to find the square root of 2756 (to solve 2756 = c^2)
which leaves you with 52.4976189936
. Rounded to the nearest tenth, you end up with 52.5.
