A teacher writes the function f(x)=3x^2-18x+27 on the board. How many times does the graph of the teacher's function intersect t
1 answer:
Answer:
Once. at (3,0)
Step-by-step explanation:
It is handy to have a graphing calculator for this kind of question.
Otherwise work it out.
All the terms are multiples of 3, so simplify.
then factor (x -3)(x-3)
Set each equal to 0 and solve for x.
x - 3 = 0 x = 3
OH ! they are identical! So there is only One value for x that will produce an output of 0.
So it intersects (touches) only once.
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Answer:
Some of the Exponents = -2 that is true, not 2.
Step-by-step explanation:
Let's check one at a time.
(a)The 6 without an exponent is equivalent to the 6 having a 0 exponent.
and
= 6 (no exponent. 6
1 therefore this statement is False.
(b)The sum of the exponents is -2.
let's check , if the base is same we can add the exponents that is the exponent rule.(well established).
if we add exponents in the given expression we get.
, therefore we can see that the sum of the exponents = -2 this is true.
(c) An equivalent expression is 65.6-7, lets evaluate our above expression, it is equal to which we can see that
,therefore this statement is false as well.