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4 years ago

How would the fraction

Mathematics

2 answers:

Bumek [7]4 years ago

8 0

Answer:

A. ${-\frac{5+5\sqrt 3 }{2}}$

Step-by-step explanation:

Please wait for more explanation:

$\frac{5}{1-\sqrt 3}= \frac{5}{1-\sqrt 3}\times \frac{1+\sqrt 3}{1+\sqrt 3}\\\\= \frac{5(1+\sqrt 3) }{1^2 -(\sqrt 3) ^2}\\\\= \frac{5+5\sqrt 3 }{1 -3}\\\\= \frac{5+5\sqrt 3 }{-2}\\\\=\huge\purple {\boxed {-\frac{5+5\sqrt 3 }{2}}} \\$

aleksley [76]4 years ago

5 0

The differences of squares: a² - b² = (a - b)(a + b)

at denominator we have: a - b and we want: a² - b²

so we need to multiply by (a+b) {both denominator and nominator!}

$\dfrac5{1-\sqrt3}=\dfrac{5(1+\sqrt3)}{(1-\sqrt3)(1+\sqrt3)}=\dfrac{5(1+\sqrt3)}{1^2-(\sqrt3)^2}=\dfrac{5+5\sqrt3}{1-3}=\dfrac{5+5\sqrt3}{-2}=-\dfrac{5+5\sqrt3}{2}$

The answer is A

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Will give brainliest

telo118 [61]

Answer:

f(x) = x^(1/2) + 3

Step-by-step explanation:

Translating to the right 3 units would change these:

0^(1/2) = 0 /// 3 units to the right would be (0,3)

1^(1/2) = 1 //// 3 units to the right would be (1,4)

4^(1/2) = 2 //// 3 units to the right would be (4,5) etc

4 0

2 years ago

Someone please help I don’t understand what this even is.

musickatia [10]

Answer:

A and D are not polynomials. B and C are polynomials

Step-by-step explanation:

In order to find out what function is a polynomial, you have to understand what a polynomial is. A polynomial is a sum of monomials that make up a polynomial expression. A mononomial is a real number, with a variable, and a exponent of a variable that makes up one term. For example $3x^{2}$ is a monomial. It has a real number, a variable, and a exponent that makes up one term. A polynomial has one or more monomial terms that make it a polynomial. So firstly, a polynomial by definition cannot have a negative exponent. That eliminates D. Why? because by definition, the standard form of a polynomial function states that n cannot be positive, it has to be a nonnegative integer. Also, polynomials can only be real numbers. It cannot have a nonreal number. Radical forms without a perfect square are nonreal numbers. So that eliminates A. However, B and C can be polynomials because the definition of polynomials say that real numbers, nonnegative exponents, and constants can be part of a polynomial function. Even with the fraction, that would be part of rational expressions (polynomial/polynomial), which is polynomials. I hope this helps friend. Math can be tough to explain just as much as doing it :)

7 0

3 years ago

All interns for Comcast are required to be tested for drug use. The imperfect test gives positive results (indicating drug use)

lakkis [162]

Answer:

0.0224 or 2.24%

Step-by-step explanation:

The probability that an intern uses drugs, given that the test is negative, is determined by the probability of false negative divided by the probability of a negative (true or false).

A false negative occurs when an intern who uses drugs (10%) takes the test and gets a negative. Since the test gets it right 80% of the time, the probability of this happening is:

$P(FN) = 0.10*(1-0.80)=0.02$

A true negative occurs when an intern who does not use drugs (90%) takes the test and gets a negative. Since the test gets it wrong 3% of the time, the probability of this happening is:

$P(TN) = 0.90*(1-0.03)=0.873$

Therefore, the probability that an intern uses drugs, given that the test is negative is:

$P(D|N) = \frac{P(FN)}{P(FN)+P(TN)} \\P(D|N) = \frac{0.02}{0.02+0.873} \\P(D|N) = 0.0224 = 2.24\%$

The probability is 0.0224 or 2.24%.

6 0

3 years ago

Read 2 more answers

Which is a solution to the following system of equations?

disa [49]

Answer:

I think number B

Step-by-step explanation:

I plugged it in the calculator. And then they both were zero.

3 0

3 years ago

an equilateral triangle and a regular pentagon have the same perimeter. Each side of the pentagon is 3 inches shorter than each

klemol [59]

The answer is 4.5 for the side length of the pentagon and 7.5 is the side length for the triangle because 7.5*3(3 sides) = 22.5 and 4.5*5(5 sides)= 22.5. The perimeter is 22.5

6 0

3 years ago