Answer:
27
Step-by-step explanation:
9 crew members complete a job in 3 months
Number of crew members is inversely proportion to construction time :
Let :
Crew members = m
Construction time = t
m α 1 /t
m = k/t
m = 9 ; t = 3
9 = k /3
k = 27
If t = 1 (one month)
m =?
m = k/t
m = 27 / 1
Hence;
m = 27 * 1
m = 27 workers
First you have to factor (aka, multiply) your binomial (which is what you have written) usually it helps to organize your thinking, and help tell what you need to multiply, to use the binomial chicken(or crab claw, what ever you want to call it) which basically you draw two arches, one arch connecting the 3 and 4, and then the other the 3 and 9i. on the opposite side (depending on wheater you connected then from the top or bottom) you connect (with an arch) the 6i and the four, and then the 6i to the 9i.
so now you multiply each piece you've connected:
3 x 4= 12
3 x 9i= 27i
6i x 4= 24i
6i x 9i= 54i^2
after you've done this you can move on to putting it into standard form, which just means you put things in descending order, depending on how many exponents the x (or in this case i) has.
your largest exponent is 54i^2, so that's first in out equation, next 27i, and 24i (you can combine these because they are like term) which equals 51i, after that you just add the 12 on the end, so the final equation looks like this:
54i^2+51i+12
For this case we have the following polynomial:
7x2 + 68xy - 20y2
Factoring we have:
(7x-2y) (x + 10y)
We verify the factorization:
7x2 + 70xy - 2xy - 20y2
Rewriting we have:
7x2 + 68xy - 20y2
Therefore, the factorization is correct.
Answer:
A) (7x - 2y) (x + 10y)
Answer:
Rule: If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.
Step-by-step explanation:
Your job here is to simplify 9t-4>32, in which the variable (t) is already positive. Here you do NOT switch signs or reverse the direction of the inequality symbol. Adding 4 to both sides, we get 9t > 36, or t > 4.
If, however, you had -9t-4>32 to work with, the situation would be different because t in this inequality is negative. Adding 4 to both sides results in:
-9t > 36. To solve for t, we must divide both sides by -9 AND reverse the direction of the inequality symbol:
t < -4.
Rule: If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.
