It’s going to take 29 days to lay all the tracks because 174/6=29
Answer:
Step-by-step explanation:
-8 (x - 3y - 9) = distribute the -8 through the parenthesis
-8(x) - 8(-3y) - 8(-9) =
-8x + 24y + 72
this is the distributive property....u are distributing the -8 through the parenthesis...what that means is ur multiplying -8 by everything in the parenthesis....you do this to remove the parenthesis
Answer:
The answer for this question is D
Step-by-step explanation:
a) Remember that the y-intercept of a exponential function

is

, so the only thing to do to find the y-intercept in our functions is evaluate it at t=0:




We can conclude that the y-intercept of our function is (0,50), and it represents the initial bacteria population in the sample.
b) To find if the function is growing or decaying, we are going to convert its decimal part to a fraction. Then, we will compare the numerator and the denominator of the fraction. If the numerator is grater than the denominator, the function is growing; if the opposite is true, the function is decaying.
Remember that to convert a decimal into a fraction we are going to add the denominator 1 to our decimal and then we'll multiply both of them by a power of ten for each number after the decimal point:

Now we can rewrite our exponential function:

Since the numerator is grater than the denominator, it is growing faster than the denominator; therefore the function is growing.
c) The only thing we need to do here is evaluate the function at t=5:




We can conclude that after 5 hours <span>Dr. Silas began her study will be 268.9 bacteria in the sample.</span>
Answer:
5
Step-by-step explanation:
The slope between (4,3) (3,-2) can be found using the following formula
m = (y2-y1)/(x2-x1)
=(-2-3)/(3-4)
= (-5)/(-1)
=5