Answer:
F(x) = 2/3x + 3
Step-by-step explanation:
I found this out by first starting off with the equation, f(x) = mx + b. (b is the y intercept, m is the slope.) The y intercept, where the line passes through the y axis, is 3. (f(x) = mx + 3) Now, look at rise over run, and see that the slope is 2/3, since for every one it goes over, it goes up 2/3. your final equation is f(x) = 2/3x + 3
Answer:
90 beats per minute
Step-by-step explanation:
By looking at the graph, we see that exactly at second 6, the 9th beat occurs. We can take that to beats/min by multiplying that relation by 10 (since there are ten 6sec in one minute).
9beats every 6sec * 10 = 90beats/min
Answer:
C. 270 grams
Step-by-step explanation:
-This is an exponential growth function which can be expressed using the formula:

Where:
is the size at time t.
is the initial size
is the growth rate
is the time
Given the size at t=2 and at t=0, we substitute in the growth function to solve for r:

We use this calculated rate to determine the population at t=6

Hence, the bacteria's size at t=6 is 270 grams
Answer:
Option C
x²+ 2x -24=0
x²+6x-4x-24= 0
x(x+6) -4(x+6) = 0
(x+6)(x-4) = 0
x= -6 and 4
Therefore, for x = 4 and -6 , the above given equation is true.