The answer for this equation is x=2
<h3>
Answer: 7t + 12(86-t)</h3>
==========================================================
Explanation:
- t = number of hours she worked as a tutor
- 86-t = number of hours she worked as a waitress
The two expressions mentioned add to 86, to indicate the total number of hours for both jobs combined.
- 7t = amount earned as a tutor
- 12(86-t) = amount earned as a waitress
We multiply the number of hours by the wage per hour to get the amount earned per job.
Lastly, we add those two subtotals to get the grand total earned
7t + 12(86-t)
Optionally you can distribute the 12 through and combine like terms. I'll leave it like this because I think it's more descriptive to show the two amounts earned from each job.
If you wanted to simplify 7t+12(86-t), then you would get 1032-5t or -5t+1032
I'm assuming that this is the complete question.
If f(x) = 3 – 2x and g(x)=1/(x+5), what is the value of (f/g)(8)? a) –169 b) –1 c) 13 d) 104
x = 8
f(x) = 3 -2xf(8) = 3 - 2(8) = 3 - 16 = -13
g(x) = 1/(x+5)g(8) = 1/(8+5) = 1/13
(f/g)(8)f(8)/g(8) = -13/ (1/13) = -13 * 13 = -169 Choice A :)
<u>Answer-</u>
<em>The insect population at the end of week 11 is </em><em>1730</em><em>.</em>
<u>Solution-</u>
A population of insects grows exponentially.
The general form of exponential function is,

Where,
a, b are constants.
Putting the data given in the table, in the the equation in order to get the values of a, b
At (0, 20)



Now the exponential function becomes,

At (1, 30)




Now the equation becomes,

For calculating the number of insects at the end of the 11th week, putting x=11, so

