Answer:
3x^2
Step-by-step explanation:
3x^2 can be factored out of each
-6x^2 = 3x^2(-2)
21x^3 = 3x^2(7x)
Answer:
-2
Step-by-step explanation:
The equation of the line is written in y=mx+c form, where m is the gradient and c is the y-intercept.
In this case, your m is a -2 and your c is a -3.
Hence the gradient of the line is -2.
Answer:
line of reflection was across the -2 line on the x-axis
Step-by-step explanation:
the y points on all of the given points are the same distance from each other to the -2 line. (ie. (-5,2) and (-5,-6) = the 2 is 4 places away from -2 and -6 is 4 places away from -2.) making the reflection point -2 because it is the halfway point for all y values. It is on the x-axis because it is said it is a horizontal line. If it was vertical it would be on the y-axis.
Answer:
0.17
Step-by-step explanation:
The function can be rewritten as ...
B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)
In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:
6t = 1
t = 1/6 ≈ 0.166667 ≈ 0.17
The culture loses half its size every 0.17 seconds.
