Adult red wolves vary in length from 137.16 cm to 168.64 cm. Estimate the difference in length between the longest and shortest
1 answer:
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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.