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2 years ago

What is the fully factored form of the expression 45x²y2 + 18x3

Mathematics

1 answer:

Llana [10]2 years ago

4 0

Answer:

9x^2(5y^2 + 2x).

Step-by-step explanation:

First find the Greatest Common Factor of the 2 terms.

GCF of 18 and 45 = 9

GCF of x^2 and x^3 = x^2.

The complete GCF is therefore 9x^2.

So, dividing each term by the GCF, we obtain:

9x^2(5y^2 + 2x).

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Is 5.78778777 a rational or irrational number?..

kupik [55]

That number is the ratio of 578,778,777 to 100,000,000 , so it's rational.

Here's a surprising factoid:

ANY number that you can completely write down on paper with digits...
and a decimal point or a fraction bar if you need them ... is rational.

If you can write it down ... without saying "repeating" or using symbols ...
it's rational.

5 0

3 years ago

Two college roommates have each committed to donating to charity each week for the next year. The roommates’ weekly incomes are

schepotkina [342]

Answer:

C. 5 weeks.

Step-by-step explanation:

In this question we have a random variable that is equal to the sum of two normal-distributed random variables.

If we have two random variables X and Y, both normally distributed, the sum will have this properties:

$S=X+Y\\\\\ \mu_S=\mu_X+\mu_Y=30+60=90\\\\\sigma_S=\sqrt{\sigma_X^2+\sigma_Y^2}=\sqrt{10^2+20^2}=\sqrt{100+400}=\sqrt{500}=22.36$

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

$z=\frac{S-\mu_S}{\sigma_S} =\frac{120-90}{22.36}=\frac{30}{22.36}=1.34\\\\P(S>120)=P(z>1.34)=0.09012$

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

$E=\#weeks*P(S>120)=52*0.09012=4.68$

The nearest answer is C. 5 weeks.

6 0

3 years ago

Heath weighed 198 pounds. he lost 5% of his weight.Later he gained back 7% of his current weight.Hiw much does heath weigh now?

Rus_ich [418]

198 x 0.05 = 9.9
198 - 9.9 = 188.1
188.1 x 0.07 = 13.167
188.1 + 13.167 = 201.267

He weighs 201.3 pounds if you round it.

8 0

3 years ago

Which ordered pair is a solution to the system?

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

5>4

6>2

5 is greater than 4, 6 is greater than 2

8 0

3 years ago

3x +4y = - 23<br>2y - x = - 19<br>What is the solution (x, y) to the system of the equations <br>

zloy xaker [14]

Answer:

all work is shown and pictured

6 0

3 years ago