Simplify 3 + 3 to 6
6^2/10 - 4 × 3
Simplify 4 × 3 to 12
6^2/10 - 12
Simplify 10 - 12 to -2
6^2/-2
Simplify 6^2 to 36
36/-2
Move the negative sign to the left
-36/2
Simplify 36/2 to 18
<u>= -18</u>
Answer:
Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.
A few things can however be said about this function:
1) It describes a parabola that extends upward infinitely. We can see this because it's in the classic format ax² + bx + c, and all terms are positive.
2) We can find the x-intercepts by solving for zero. In this case we can do that by factoring it:
x² + 9x + 18 = 0
x² + 3x + 6x + 18 = 0
x(x + 3) + 6(x + 3) = 0
(x + 6)(x + 3) = 0
So the x intercepts occur at (-6, 0) and (-3, 0)
3) we can find its vertex by taking its derivative and solving for zero:
f'(x) = 2x + 9
0 = 2x + 9
x = -4.5
We can then plug that coordinate into the original function to find the y coordinate:
f(x) = x² + 9x + 18
f(-4.5) = 20.25 - 40.5 + 18
= -2.25
So the vertex is at (-4.5, -2.25)
4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9. The integral is:
x³ / 3 + 9x² / 2 + 18x + C
By showing that the numbers of atoms of the same type are equal on both sides.
Sum of an irrational number and a rational number is always irrational. Take for example 1/2 +
. Clearly, 1/2 is rational and its decimal expansion is equal to 0.5, while
is irrational and has a non-repeating, non-terminating decimal expansion. When you add the two, you are obviously going to get a non-repeating, non-terminating decimal expansion, hence the sum is irrational.
2/4 and 1/2
5/10 and 1/2
1/3 and 2/6
40/90 and 4/9
