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
200+15x=320
and then the actual answer to the question is 8 lawns.
Answer:
rs140
Step-by-step explanation:
I=P×T×R/100
1400×2×5/100
2800×5/100
14000/100
140
The circumference would be 30 ft, which comes from 6 people have 5ft of space each. 6 x 5 = 30. Which means the diameter is 9.55414013; Circumference divided by pi is the diameter. Once you divide the diameter by 2 for the radius, you get 4.777 which can be used to find the area of the table top. Area is pi x radius x radius = 3.14 x 4.777 x 4.777 =71.654 ft^2
I'm a little confused as to how you wrote out each of the equations, but if there are 2 ounces of fruit cremes, and the box weighs 8 ounces, then there would be 6 ounces of caramels in the box.
