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4 years ago

What is the advantage of buying the house over renting the apartment?

2 answers:

4 0

Renting you lose money even if it’s cheap you can never get your money back. When you buy a house you can resell it and get all your money back or possibly even more.

Sveta_85 [38]4 years ago

4 0

Not really a math problem...but buying a house allows for tax deduction on the mortgage interest that you pay and also allows you to buy up equity over time as you pay off the house mortgage. Renting an apartment does not have such benefit.

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Difference of squares. Pls help algebra factoring polynomials 10 points

jarptica [38.1K]

Answer:

4x(squared)-36

Step-by-step explanation:

=(2x+−6)(2x+6)

=(2x)(2x)+(2x)(6)+(−6)(2x)+(−6)(6)

=4x^2+12x−12x−36

=4x^2 −36

6 0

2 years ago

Question number 8. Prove that 3 + √5 is an irrational number.

Marina86 [1]

Answer :

Let's assume the opposite of the statement i.e., 3 + √5 is a rational number.

$\\ \sf \: 3 + \sqrt{5} = \frac{a}{b} \\ \\ \qquad \: \tiny \sf{(where \: \: a \: \: and \: \: b \: \: are \: \: integers \: \: and \: \: b \: \neq \: 0)} \\$

$\\ \sf \: \sqrt{5} = \frac{a}{b} - 3 = \frac{a - 3b}{b} \\$

Since, a, b and 3 are integers. So,

$\\ \sf \: \frac{p - 3b}{b} \\ \\ \qquad \tiny \sf{ \: (is \: \: a \: \: rational \: \: number \:) } \\$

Here, it contradicts that √5 is an irrational number.

because of the wrong assumption that 3 + √5 is a rational number.

$\\$

Hence, 3 + √5 is an irrational number.

7 0

3 years ago

What does the discriminant determine?

devlian [24]

The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

6 0

3 years ago

Read 2 more answers

The area of a patio is 72 square feet. The length of the patio is 1 foot longer than the width. What is the width of the patio?

mote1985 [20]

I know there must be an equation to do this, but there is a simpler way.
Just factor number 72 into two numbers which, when multiplied, equal 72. Two of such numbers are 9 and 8, and you can see that the difference between those two numbers is just 1. So that is the answer to your question - the length of the patio is 9 feet, whereas the width is 8 feet.

4 0

3 years ago

The masses mi are located at the points pi. find the moments mx and my and the center of mass of the system. m1 = 2, m2 = 5, m3

creativ13 [48]

Most graphing calculators will do weighted averages pretty easily. It is mostly a matter of data entry.

mx = -2
my = 10
(x, y) = (mx, my)/10 = (-0.2, 1)

6 0

4 years ago