Answer:
Step-by-step explanation:
The quadratic expression in the standard form is given by :
f(x) = + bx + c
(b) To complete the square:
Divide the equation through by a , the equation then becomes
f(x)= + +
At this point, you are require to
(i) multiply the coefficient of x by 1/2
(ii) square the result
(iii) add the result to both sides , we have
f(x) = + + + + by completing the square , we have
f(x) = + - . We did this in order to make the expression balance
(c) Using the order of operation to turn the expression back into standard form
i. Expand the function in the bracket , we have
f(x) = + + + -
⇒ f(x) = + + + -
⇒f(x) = + +
multiply through by the L.C.M , which is a , then we have
f(x) = - bx + c .
Since the aim of completing the square is to make the expression a perfect square , then it will always result in a perfect square trinomial.
Answer is 8! Example of a "6 faced, 12 edged" figure above. Hope this helps c:
Answer:
R(x) = 8999.93x
Step-by-step explanation:
The original price is $9000 per unit. The unit is x, so if you buy x units, you pay 9000x.
The original price function is
R(x) = 9000x
The discount is 7 cents per unit bought, so if you buy x units, the discount is 9x in cents, or 0.09x in dollars. This discount is subtracted from the original price, so the discounted price is
R(x) = 9000x - 0.07x
R(x) = 8999.93x
Answer: R(x) = 8999.93x
Answer:
A
Step-by-step explanation:
x^2 + x - 12
12 = 4*3,
We have -12 so 4 or 3 should be negative.
+ x , coefficient = +1 , so we have +4 - 3 = +1
(x+4)(x-3)
We can check:
(x+4)(x-3) = x^2 + 4x - 3x -12 = x^2 + x - 12