Let's formulate an equation first. For exponential growth, we follow the formula. b = 800, r - 0.027. Hence,
y = 800(1+0.027)^t
Then, at t = 21, y will be determined
y = 800 (1+0.027)^21
y = 1399.81 = 1400
Thus, the amount of bacteria present after 21 hours is 1400.
The answer is <span>B. y = x^3 + 4x^2 + 2x - 2
A line that passes through all given point is the correct choice. Now, substitute x and y in all of the choices:
</span>B. y = x³ + 4x²<span> + 2x - 2
Point 1: </span><span>(-2, 2)
x = -2
y = 2
____
2 = (-2)</span>³ + 4 *(-2)² + 2 * (-2) - 2
2 = -8 + 4 * 4 + (-4) - 2
2 = -8 + 16 - 4 - 2
2 = 2
_____
Point 2: (-1, -1)
x = -1
y = -1
____
-1 = (-1)³ + 4 *(-1)² + 2 * (-1) - 2
-1 = -1 + 4 * 1 + (-2) - 2
-1 = -1 + 4 - 2 - 2
-1 = -1
____
Point 3: (1, 5)
x = 1
y = 5
____
5 = (1)³ + 4 *(1)² + 2 * 1 - 2
5 = 1 + 4 * 1 + 2 - 2
5 = 1 + 4 + 2 - 2
5 = 5
____
Point 4: (3, 67)
x = 3
y = 67
____
67 = (3)³ + 4 *(3)² + 2 * (3) - 2
67 = 27 + 4 * 9 + 6 - 2
67 = 27 + 36 + 6 - 2
67 = 67
So, line B passes through all choices.
If we take the perimeter of the park as being equivalent to the distance that Anwar walks, then we can calculate the number of blocks he walks and then multiply this by the width of each block, thus:
Number of blocks walked = 1 + 2 + 2 + 1 + 1 + 1 = 8
Distance walked = 8*300 = 2400 feet
(You could also draw a diagram to help present this in a visual way but it is not necessary)
Assuming the rotation is around the origin (0,0) then A' = A. The parallelogram is in its original location
Answer:
There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555
Step-by-step explanation:
Given the functions:
f(x) = x² + 4x + 10
g(x) = -32x - 40
we want to find the points at which f(x) = g(x).
x² + 4x + 10 = -32x - 40
x² + 4x + 10 + 32x + 40 = 0
x² + 36x + 50 = 0
Using quadratic formula:
