This question was not correctly written
Correct Question
Mara thinks x ≤ 6 will earn the highest score here.
David thinks x < 6 will.
Who is correct?
Answer:
Mara is correct
Step-by-step explanation:
In the above question, we are given two inequality equations
1) Mara: x ≤ 6
2) David : x < 6
For David , x < 6 means the score which is represented by x is less than 6
For Mara, x ≤ 6 means the score which is represented by x is less than or equal to 6
Therefore, Mara is correct because x ≤ 6 will earn the highest score here.
Answer:
, which corresponds to answer D.
Step-by-step explanation:
Recall that the maximum or minimum of a parabola is always located at its vertex. Notice that all quadratic functions listed are given in what is called "vertex" form, since they explicitly show the vertex coordinates in their formulation:
where
, and
stand for the x and y coordinates respectively of the vertex.
Examining all four options, we notice that in all four cases listed, the
is correct (equal to positive 9), so we proceed to examine what the
expression should look like for
:
Notice that when replace
with "-3", we end up with a sign change:

Therefore we find that the last two options can be candidates. Then we recall that the question also states that this should be a minimum. Then, for a parabola to have a minimum, its branches must go upwards, and this corresponds to a case in which the factor
(leading coefficient) multiplying (x-x_v)^2 is positive. So in looking for such condition, we find that the very last option is the only one that verifies such.
Then,
is the option we select.
Answer:
-3 = x
Step-by-step explanation:
4 (2x + 3) = 4x + 24 + 6x – 6
8x + 12 = 10x + 18
12 = 2x + 18
-6 = 2x
-3 = x
Answer:
for the first one: y=1x and second one: y=-2