Answer:
f(x) = -5.1x² +14.6x +3
Step-by-step explanation:
The three given points are obviously not on a line, but can be modeled exactly by a 2nd degree polynomial. (The degree is 1 less than the number of points.) I find it convenient to let a graphing calculator's quadratic regression function tell me the coefficients.
<em>Solving by hand</em>
Since the "y-intercept" is 3, the equation can be written
... f(x) = ax² +bx + 3
Filling in the given numbers, we have 2 equations in the 2 unknowns, <em>a</em> and <em>b</em>.
... f(1) = 12.5 = a·1² +b·1 +3
... f(2) = 11.8 = a·2² +b·2 +3
Simplifying these gives ...
Subtracting the first equation from the second gives ...
... (2a +b) -(a +b) = (4.4) -(9.5)
... a = -5.1
The first equation tells us
... b = 9.5 -a = 9.5 +5.1
... b = 14.6
The equation is f(x) = -5.1x² +14.6x +3.
Answer:
Step-by-step explanation:
b
Answer:
The 20-day old worm is inches more longer than the 10-day old worm.
Step-by-step explanation:
Jack is growing Red wiggler worms to help make compost. He measured the lengths of two young worms. The 10- day old worm is inch long. The 20-day old worm is inches long.
Therefore, the 10-day old worm is i.e inches long.
And the 20-day old worm is i.e. inches long
Therefore, the 20-day old worm is inches more longer than the 10-day old worm. (Answer)
Answer:
1/14
Step-by-step explanation:
Assuming you mean that there are 2 red, 2 green, and 4 blue marbles, there are a total of 8 marbles.
On the first draw, the probability the marble is red is 2/8.
On the second draw, there's one less marble, so the probability of selecting a green marble is 2/7.
The total probability is:
2/8 × 2/7 = 1/14
Answer:vertex (-2,-12) and the equation y
=
2
x
^2
+
8
x
−
4
Step-by-step explanation: