Answer:
Number of bacteria after 100 days is 1237.
Step-by-step explanation:
Since bacterial growth is a geometrical sequence.
Therefore, their population after time t will be represented by the expression
Where a = first term of the sequence
r = common ratio of the sequence
n = duration or time
Since first term of the sequence = number of bacteria in the start = 1
Common ratio = r = (1 + 0.04) = 1.04
![S_{100}=\frac{1[(1.04)^{100}-1)]}{1.04-1}](https://tex.z-dn.net/?f=S_%7B100%7D%3D%5Cfrac%7B1%5B%281.04%29%5E%7B100%7D-1%29%5D%7D%7B1.04-1%7D)
= 
= 1237.64 ≈ 1237 [Since bacteria can't be in fractions]
Therefore, number of bacteria after 100 days is 1237.
Answer:
x = - 1, y = 3 or (-1 , 3)
Step-by-step explanation:
x – 3y + 10 = 0 x = 3y - 10 ... plug in
x² + y² = 10
(3y-10)² + y² = 10
10y² - 60y +90 = 0
y² - 6y + 9 = 0
(y - 3)² = 0
y = 3
x = - 1
Answer:
y = -x - 7
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is x + y = 1.
First, let's put this into standard form.
x + y = 1
y = -x + 1
Now we have an equation in standard form. Its slope is -1. A line parallel to this one will also have a slope of -1.
Plug this value (-1) into your standard point-slope equation of y = mx + b.
y = -x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-7, 0). Plug in the x and y values into the x and y of the standard equation.
0 = -1(-7) + b
To find b, multiply the slope and the input of x (-7)
0 = 7 + b
Now, subtract 7 from both sides to isolate b.
-7 = b
Plug this into your standard equation.
y = -x - 7
This equation is parallel to your given equation (y = -x + 1) and contains point (-7, 0)
Hope this helps!
The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y = ax 2 + bx + c, the axis of symmetry is a vertical line.
