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Katen [24]
3 years ago
8

PLEASE EXPLAIN ?? I just need it explained how to do it step by step so I can do the next one ((:

Mathematics
1 answer:
GrogVix [38]3 years ago
7 0
L (4, 6) M (-2, 1)
The width of the line is the difference in "X" values (4 minus -2 = 6) and the height is the difference in "Y" values (6 minus 1 =5)

So the midpoint of LM will be a point that is half-way of the "X" and "Y" distances (6/2 = 3 and 5/2 - 2.5)
"X" goes from -2 to 4.  Adding 3 to -2 equals 1
"Y" goes from 1 to 6.  Adding 2.5 to 1 equals 3.5
So the midpoint = (1, 3.5)

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Mara thinks x< 6 will earn the highest score here.
Mamont248 [21]

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.

5 0
3 years ago
The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?
Scilla [17]

Answer:

g(x)=2(x+3)^2+9, 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:

f(x)=a(x-x_v)^2+y_v where x_v, and  y_v stand for the x and y coordinates respectively of the vertex.

Examining all four options, we notice that in all four cases listed, the y_v is correct (equal to positive 9), so we proceed to examine what the (x-x_v)^2 expression should look like for  x_v=-3:

Notice that when replace  x_v with "-3", we end up with a sign change:

(x-x_v)^2\\(x-(-3))^2=(x+3)^2

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 a (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, g(x)=2(x+3)^2+9 is the option we select.

4 0
4 years ago
4 (2x + 3) = 4x + 24 + 6x – 6
omeli [17]

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

5 0
4 years ago
Find the slope of the lines
FrozenT [24]

Answer:

for the first one: y=1x and second one: y=-2

6 0
3 years ago
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GPA
Maru [420]

Answer:

about 3.52..........

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