The answer would be, 0.55555555556
hope this helps :-)
the function is given, and it's value is where the object is ("how far to the right").
so as long as it rises (going more right), this will be apply.
in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.
for the first 1.25 seconds the object goes to the left, and after that always to the right.
since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.
x(t) = 2t² – 5t – 18
x'(t) = 4t -5
x'(t) = 0
0 = 4t -5
5 = 4t
1.25 = t
plugging it into the second derivative
x''(t) = 4
x''(1.25) = 4
it's positive, so at t=1.25 there is a low point
(of course the second derivative is constant anyways.)
the object is traveling toward the right
the object is traveling toward the rightfor t > 1.25
b#~8=+/"1 sep b=.a#~54=|a-10#.|."1 sep a=.10 to 99
17 71
Alternately:
10#.b#~(8=+/"1 b)*.54=|a-10#.|."1 b=.sep a=. 10 to 99
17 71
The answer is 71.
71 - 17 = 54.
Answer:
C
Step-by-step explanation:
Since XY = XZ = 6, then the triangle is isosceles.
The base angles are therefore congruent, that is
∠ Y = ∠ Z = 70°
The sum of the 3 angles in the triangle = 180°, thus
∠ X = 180° - (70 + 70)° = 180° - 140° = 40° → C
Answer:
3(x + 6)(x - 2)
Step-by-step explanation:
Given
3x² + 18x - 6x - 36 ← factor out 3 from each term
= 3(x² + 6x - 2x - 12) ( factor the first/second and third/fourth terms )
= 3(x(x + 6) - 2(x + 6)) ← factor out (x + 6) from each term
= 3(x + 6)(x - 2)