Answer:
Step-by-step explanation:
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Answer:
A) Quantity x minus 5 over quantity x plus 1, where x≠-1 and x≠-9
Step-by-step explanation:

Simplifying the numerator first:
x² + 4x - 45 using the quadratic formula you get;
(x - 5)(x + 9)
Then simplifying the denominator x² + 10x + 9 using a quadratic formula you get;
(x + 1)(x + 9)
Dividing the numerator and denominator now gives;

Cancelling (x + 9) throughout leaves you with;

The only restrictions here is if x = 1 and 9 which will give an undefined answer.
Answer:
Step-by-step explanation:
Let the cost of one soft taco = s
Let the cost of one burrito = b
So we have this system
3s + 3b = 11.25
4s + 2b = 10.00 (1)
Divide the first equation through by 3 and we have that
s + b = 3.75 subtract b from both sides
s = 3.75 - b (2)
Sub (2) into (1) and we have
4 (3.75 - b) + 2b = 10.00 simplify
15 - 4b + 2b = 10.00
-2b + 15 =10.00 subtract 15 from both sides
-2b = - 5.00 divide both sides by -2
b = 2.50
And using (2)
s = 3.75 - 2.50 = 1.50
So... a soft taco 1.50 and a burrito is 2.50
You need to add the two quadratics together...
x^2+11x-6+6x^2-3x+9
7x^2+8x+3