Answer:
Step-by-step explanation:
So we have the expression:
To subtract, we want to have a common denominator. So, let's find a common denominator by using the LCM.
The LCM of 6 and 12 is 12.
Since the second term is already 12, let's multiply the first term by 2 to get its denominator to be 12:
Multiply:
Now, we can combine the fractions:
Subtract:
And we are done!
Axis of symmetry is a line passing through the vertex which divides the curge into two parts such tha each part looks the same.
For
, the 'x' part is squared and the coefficient of
is positive. Hence, the curve will be a parabola facing up which means that the axis of symmetry will be a vertical line. i.e. x = m.
Investigating, f(-1) =
f(-1.5) =
f(-2) =
From these, the curve has a vertex at point (-1.5, -6)
Therefore the axis of symmetry is line x = -1.5 (i.e. the third option)
Answer: 8 dollars is the profit because revenue is 48 dollars and original price was 40
Answer:
94 children, 64 students, and 47 adults attended the movie theater.
Step-by-step explanation:
Let; a be for adults, s for students, and c for children.
Make a system to solve for the amount of people.
c/a = 2
a + 2a + s = 205
3a + s = 205
Simplify.
s = 205 - 3a
s = 205 - 3a
c = 2a
Plug it in.
5c + 7s + 12a = 1482
10a + 7(205 -3a) + 12a = 1482
10a + 1435 - 21a + 12a = 1482
a + 1435 = 1482
a = 47
Substitute.
c = 2(47)
c = 94
Solve.
s = 205 - 3(47)
s = 64
Answer:
Step-by-step explanation:
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