Answer:
2,3
Step-by-step explanation:
i just did this one
Answer:
7g+3h
Step-by-step explanation:
you combine like terms by adding 3g and 4g and subtracting 2h from 5h.
Answer:
Step-by-step explanation:
the answer is 3x+2y=16x
To find the value of q, we need to find d(-8). Put another way, we need to find the value of d(x) when x = -8





So this means q = 0. Note that -0 is just 0.
===========================================
The value of r will be a similar, but now we use f(x) this time.
Plug in x = 0





Therefore, r = 2.
===========================================
For s, we plug x = 10 into f(x)





So s = 3.
===========================================
Finally, plug x = 10 into d(x) to find the value of t





A shortcut you could have taken is to note how d(x) = -f(x), so this means
d(10) = -f(10) = -9 since f(10) = 9 was found in the previous section above.
Whichever method you use, you should find that t = -3.
===========================================
<h3>In summary:</h3><h3>q = 0</h3><h3>r = 2</h3><h3>s = 3</h3><h3>t = -3</h3>
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>