Answer:
no se ve el mapa así que no se puede responder
Step-by-step explanation:
Answer:
(x+2)(x+1)
Step-by-step explanation:
x^2 +3x+2
x 2
x 1
Answer:
hours
Step-by-step explanation:
First let's get the flat fee of 14 out of the way, because he wants to earn 86 dollars and the 14 dollar fee is the y intercept.
We would then divide 72 by the slope (14 per hour) to see how many hours he has to work:
I would just simplify because this decimal isn't exact
So 36/7 hours
Answer:
10) f'(x) = (x² + 6x - 3)/(x + 3)²
11) g'(x) = 1 - csc²x
Step-by-step explanation:
10. f(x) = x(1 - (4/(x + 3))
Expanding gives;
f(x) = x - (4x/(x + 3))
Differentiating gives;
f'(x) = 1 - 4/(x + 3) + 4x/(x + 3)²
Simplifying this gives;
f'(x) = [(x + 3)² - 4(x + 3) + 4x]/(x + 3)²
f'(x) = (x² + 6x + 9 - 4x - 12 + 4x)/(x + 3)²
f'(x) = (x² + 6x - 3)/(x + 3)²
11. g(x) = x + cot x
Rewriting this gives;
g(x) = x + (1/tan x)
We know that derivative of tan x is sec x while derivative of (1/tan x) is -csc²x
Thus;
g'(x) = 1 - csc²x
This can be written as
Differentiating this gives;
g'(x) = 1 - csc²x
Step-by-step explanation:
x² - 14x - 51 = 0
(x² - 17x) + (3x - 51) = 0
x(x - 17) + 3(x - 17) = 0
(x + 3) (x - 17) = 0
x + 3 = 0 eq1
x = 0 - 3
x = -3
x - 17 = 0 eq1
x = 0 + 17
x = 17
