Answer:
(1,2)
Step-by-step explanation:
The solution would be where both lines intersect.
In this case, the intersected point is (1,2)
Let's solve for our solutions and then add them.
2|x - 1| - 4 = -2
2|x - 1| = 2
|x - 1| = 1
First solution:
x - 1 = 1
x = 2
Second solution:
x - 1 = -1
x = 0
Thus, the sum of our solutions is 2.
3x -1 = 11
3x = 11 + 1
3x = 12
x = 4
I take it by, x2 + x, you mean 2x + x, since x = 4, then
2x + x = 2(4) + (4) = 8 + 4 =12
Answer:
a) y=3x-11
b) y=-1/3x-1
Step-by-step explanation:
First find the slope of the line
rise/run
rise is 3
run is 1
so slope is 3
since this line is parallel to "a", the slope of "a" will also be 3
the equation of a will be
y-y1=3(x-x1) -- where x1 and y1 will be the points it passes through (3,-2)
y-(-2)=3(x-3)
y+2=3x-9
y=3x-9-2
y=3x-11
since this line is perpendicular to "b", the slope of "b" will also be reciprocal negative , -1/3
y-y1=-1/3(x-x1) -- where x1 and y1 will be the points it passes through (3,-2)
y-(-2)=-1/3(x-3)
y+2=-1/3x+1
y=-1/3x+1-2
y=-1/3x-1
In the case of bacteria, we use the continuous growth equation:
Final=Initial×e∧(r×t)
In other words, the final amount is equal to the initial amount times e to the rate times time. In order to find your rate, you would plug in the numbers as follows:
3600=3000×e∧(6r)
Therefore: r=0.03
Next, you would plug in the r value and 13 hours into the equation to solve for the final amount.
F=3000×e∧(13×0.03)=4,453 bactera after 13 hours