Hello,
P(x)=x^3-7x-6
P(4)=4^3-7*4-6=30
Remainder=30
Given that the population has been modeled by the formula:
a=118e^(0.024t), the time taken for the population to hit 140k will be given by:
140000=118e^(0.024t)
solving for t we shall have:
140000/118=e^(0.024t)
thus;
0.024t=ln(140000/118)
t=1/0.024*ln(140000/118)
t=295
thus the time the population will be 140000 will be:
1998+295
=2293
Answer:
45
Step-by-step explanation:
i took the test
Answer:

Step-by-step explanation:
.
m is the slope of the line. To find it we can do
which is the difference between the y-coordinates divided by the difference between the x-coordinates.
So:
. Now we have the slope, let's input a set of coordinates into the equation so that we can find the constant
.

- Re-arranging to get b
Now re-write the equation as we have the constants.

(1/3) bag = (1/4) lb.
multiply by 3 on both sides to get 1 full bag.
3(1/3)b = 3(1/4)
1 bag = (3/4) lb.