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
Answer:
C: H <u>> </u> 60
Step-by-step explanation:
H is 60 in or taller, underlined indicates that it's also 60 in, not just above it.
Answer:
y = 4x - 17
Step-by-step explanation:
we can use the equation y = mx + b
where m is the slope.
now we want to find the value of b.
so
7 = 24 + b
b= -17
so the answer is
y = 4x -17
Answer:
hi
Step-by-step explanation:
helloifddhdhxhgcgchgchgugcu
Answer:
b=12, y=53.13°, and x=36.87° brainliest pls if correct
