All categories

2 years ago

Factor by grouping:

2 answers:

3 0

$(x-y)^2=x^2-2xy+y^2\\---------------------------\\\\4-12r+9r^2=2^2-2\cdot2\cdot3r+(3r)^2=(2-3r)^2$

$other\ method:\\\\4-12r+9r^2=4-6r-6r+9r^2=2(2-3r)-3r(2-3r)\\\\=(2-3r)(2-3r)=(2-3r)^2$

faust18 [17]2 years ago

3 0

Because:
$(a-b)^2=a^2+2ab+b^2$

You might be interested in

What is the reference angle of -200

Anna71 [15]

-20 would be the answer

7 0

2 years ago

Read 2 more answers

Miss Garcia an art teacher is buying supplies for her next unit on ceramics. Her 25th six graders are making mugs and jugs estim

d1i1m1o1n [39]

1/2 Answer: 1/2

Step-by-step explanation:

7 0

2 years ago

If 33% of the members of Sweetheart Union sign petitions to decertify the union, the National Labor Relations Board will call an

Elis [28]

Answer:

There is no need to call for election.

Step-by-Step Explanation

Surveys are based on probability or statistics. It serves as a standard tool for experimental research in marketing, social sciences and official data statistics.

Since 8 out of 40 members of the Sweetheart Union will sign the petition, the percentage of those who will sign the petition is calculated below:

$\frac{8}{40}*100=20\%$

Based on the sample survey, only 20 percent of the members will sign the petition. Since, in the sample, the number of those who will sign is less than 33%, the union should be told that there is no need for the National Labor Relations Board to call for the election.

5 0

3 years ago

Find slope of -2,3 and 4,-5

bulgar [2K]

-2,3 is (x1,y1) and (4,-5) is (x2,y2) so you do y2-y1/x2-x1

y2-y1 is -5-3 which is -8 and x2-x1 is 4-(-2) which is 6 so you get

-8/6= -4/3

4 0

2 years ago

Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She observed that the populati

Oksana_A [137]

Answer:

P(t) = 27000 * (1/9)^(t/4)

Step-by-step explanation:

This problem can me modelled with an exponencial formula:

P = Po * (1+r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.

In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.

So, our function will be:

P(t) = 27000 * (1-8/9)^(t/4)

P(t) = 27000 * (1/9)^(t/4)

8 0

2 years ago

Read 2 more answers