Answer:
-4 and 9
Step-by-step explanation:
x2-36=5x'
x*x - 5x - 36 = 0
(x - 9) (x + 4) = 0
roots 9 and -4
Answer:
10 weeks
Step-by-step explanation:
Use the equation 180+17w=350
Answer:
18107.32
Step-by-step explanation:
Set up the exponential function in the form:

so P is the new population,
is the original population, R is the rate of increase in population, and t is the time in years.
You have to use the information given to find the rate that the population is increasing and then use that rate to find the new population after more time passes.
![13000 = 6000(R)^7\\\\\\frac{13000}{6000} = R^7\\\\\sqrt[7]{\frac{13000}{6000} } = R\\\\\\ R = 1.116786872](https://tex.z-dn.net/?f=13000%20%3D%206000%28R%29%5E7%5C%5C%5C%5C%5C%5Cfrac%7B13000%7D%7B6000%7D%20%3D%20R%5E7%5C%5C%5C%5C%5Csqrt%5B7%5D%7B%5Cfrac%7B13000%7D%7B6000%7D%20%7D%20%3D%20R%5C%5C%5C%5C%5C%5C%20R%20%3D%201.116786872)
Now that you found the rate, you can use the function to find the population after another 3 years.

So the population is 18107, rounded to the nearest whole number.
Answer:
The graph is shown below.
The time to make the taste to half is <u>4.265 s.</u>
Step-by-step explanation:
Given:
Initial value of the taste is, 
Therefore, the quality of taste over time 't' is given as:

Now, when the taste reduces to half, 
Therefore,

Taking natural log on both the sides, we get:

Therefore, the time to make the taste to half is <u>4.265 s.</u>
Answer:
$8.75
Step-by-step explanation:
Let x = the amount the man originally had
The man has $x and says "if you give me $x, I will spend $10."
y = amount he has after 1st proposition = x + x - 10 = 2x - 10
He repeats this procedure, now with $2x-10 in his pocket...
z = amount he has after 2nd proposition = (2x - 10) + (2x - 10) - 10 = 4x - 30
He repeats this procedure, now with $4x-30 in his pocket...but this time he is left with zero dollars...
r = amount he has after 3rd proposition = (4x-30) + (4x-30) - 10 = 8x-70 = 0
8x - 70 = 0,
x = $8.75