Hope this helps I guess if not I’m sry
Answer:
1. 
2. 
5. (q+3r)(q^2-3qr+9r^2)
7. x= - 4/7, 1/9
See below for additional problems and help.
Step-by-step explanation:
To factor polynomials, look for patterns and greatest common factors. When you remove these factors, write the factor and what remains.
For example:

Notice the term
is left and is the term when the expression is divided by -m.
2. Factor by grouping is similar. Pull out factors within pairs of term. Separate the terms by parenthesis. If the quantities in the [parenthesis are the same, the factoring has been successful.

Notice that (2w+7c) is the same. The factoring is complete. The factors are:

3 - 6 is similar using specific forms for factoring. To find the forms, look in your notes or at resources on online. Here is one example.
4. A sum of cubes has the form
.
To use this form, take the cube root of each term. a = q and b=3r.
The factors are 
7-9 all involve factoring and then solving. You solve by setting the factors equal to 0.
7. (7x+4)(9x-1) = 0
(7x+4) = 0 (9x-1)=0
7x=-4 9x = 1
x= - 4/7 x = 1/9
The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.
<h3>What is the total cost?</h3>
Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.
Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,

He gets 6000 thousand extra after increment. Her annual income is,

Before accepting the position, Janice wants to understand her potential cost of living.
- She estimates that rent will be $1,500 per month. Thus, the
- She will have to take the train to and from work, which will be $3.50 round trip daily.
- Her food cost will be $75 per week.
Janice works 5 days a week for 52 weeks per year. Her annual income be after paying rent, transportation, and food is,

Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.
Learn more about the total cost here;
brainly.com/question/25109150
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Answer:
2.84
Step-by-step explanation:
Recognize that 252 = 7*36
and so:
log base 7 of 252 = log base 7 of 36 + log base 7 of 7, or
log base 7 of 36 + 1
So the most you can simplify log base 7 of 252 is to write 1 + log base 7 of 36.
Or, if you want to use the change of base formula, you could do the following:
log 36
log base 7 of 36 = -------------- = 1.84
log 7
and so log base 7 of 252 would come out to
1 + log base 7 of 36 = 1 + 1.84 = 2.84
Check: does 7^2.84 = 252? YES. So we know that:
1 + log base 7 of 36 = 2.84