Answer:
The quotient of the rational function is 
.
Step-by-step explanation:
We proceed to solve the expression by solely algebraic means below:
1) 
Given
2) 
Modulative property
3) ![\frac{(3\cdot x +5) + [1+(-1)]}{x+2}](https://tex.z-dn.net/?f=%5Cfrac%7B%283%5Ccdot%20x%20%2B5%29%20%2B%20%5B1%2B%28-1%29%5D%7D%7Bx%2B2%7D)
Existence of additive inverse/Associative property
4) 
Definition of addition/Commutative and associative properties
5) 
/ 
/Distributive property
6) Definition of division/Existence of multiplicative inverse/Modulative property/Definition of subtraction/Result
The quotient of the rational function is .
Answer:
Step-by-step explanation:
Please use " ^ " to denote exponentiation: f(x) = x^2 + 4x - 21.
This function has a graph which is a parabola that opens up.
Its vertex is found by completing the square:
x² + 4x + 4 - 4 - 21, or
(x + 2)² - 25
Comparing this to the standard equation
(x - h)² + k, we see that h = -2 and k = -25.
Thus, the vertex (and the minimum of this function) is (-2, -25).
Thus, the range is [-25, ∞ ). This being a polynomial function, it has no restrictions on the domain: the domain is (-∞, ∞ )
Answer:
8/10, 16/20 and more!!
Step-by-step explanation:
if you multiply both the top number by 2,
you will get 8/10!! this is the same amount
just dividing each fifth into smaller pieces
you can go further and do 16/20, 32/40
64/80, 128/160 and INFINITE WAYS MORE!!
Answer:
$193.67
Step-by-step explanation:
Let x = shirts
Let y = trousers
Let z = hat
4x + 4y + 2z = 660
9x + 9y + 6z = 1399
Divide the second equation by 3.
3x + 3y + 2z = 466.33
Subtract both equations
.
4x + 4y + 2z = 660
3x + 3y + 2z = 466.33
x + y = 193.67
So 1 shirt and 1 trouser will be $193.67
