the multiplication of fractions is very straightforward, numerators across and denominators across, now, let's firstly convert the mixed fraction to improper fraction.
![\bf \stackrel{mixed}{2\frac{2}{5}}\implies \cfrac{2\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{12}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{12}{5}\cdot \cfrac{5}{7}\implies \cfrac{12}{7}\cdot \cfrac{5}{5}\implies \cfrac{12}{7}\cdot 1\implies \cfrac{12}{7}\implies 1\frac{5}{7}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B2%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%205%2B2%7D%7B5%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B12%7D%7B5%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B12%7D%7B5%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B7%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B7%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B5%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B7%7D%5Ccdot%201%5Cimplies%20%5Ccfrac%7B12%7D%7B7%7D%5Cimplies%201%5Cfrac%7B5%7D%7B7%7D)
<h2>
Hello!</h2>
The answers are:
a) 
b) 
<h2>Why?</h2>
First, we need to know that for this case:

So,


We must add
to the expression in order to form a perfect square trinomial,

Writing the trinomial as a binomial square:

Have a nice day!
A function assigns the values. The number of people that were recruited in year 6 is 192.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given that the number of people per year is represented by the function
.
In the given function, t represents the number of years.
Now, the number of people that were recruited in year 6 can be calculated by putting the value of t as 6 in the given function,

f(6) = 3(2)⁶
= 3(64)
= 192
Hence, the number of people that were recruited in year 6 is 192.
Learn more about Function here:
brainly.com/question/5245372
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If f(x)=1/9x-2
then f^-1(x) will be
lets assume f(x)=y
y=1/9x-2
y+2=1/9x
9(y+2)=x
f^-1(x)=9(y+2)
rest u can do with the same method