All categories

2 years ago

Which relations represent functions?

Mathematics

1 answer:

Brut [27]2 years ago

8 0

The first and last represent functions, no function has an input with two separate outputs

You might be interested in

Help<br> I can’t get this ! Please help

Zielflug [23.3K]

Answer:

$\sqrt{2^5}$

Step-by-step explanation:

First, deal with the product of the two powers of 2 inside the parentheses.

The two factors are powers of 2, so add the exponents.

$(2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}})^2 =$

$= (2^{\frac{1}{2} + \frac{3}{4}})^2$

You need a common denominator, 4, to add the fractions.

$= (2^{\frac{2}{4} + \frac{3}{4}})^2$

$= (2^{\frac{5}{4}})^2$

Now you have an exponent raised to an exponent. Multiply the exponents and reduce the fraction.

$= 2^{\frac{5}{4} \times 2}$

$= 2^{\frac{10}{4}}$

$= 2^{\frac{5}{2}}$

When a fraction is an exponent, the numerator is an exponent and the denominator is the index of the root. A denominator of 2 means a root index of 2 which means square root.

$= \sqrt{2^5}$

8 0

1 year ago

Solve the boundary value problem <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%5E%7B2%7Dy%7D%7Bdx%5E%7B2%7D%7D%20%2B%204%20%5

Sonja [21]

Characteristic equation:

$r^2+4r-5=(r+5)(r-1)=0\implies r=-5,r=1$

$\implies y_c=C_1e^{-5x}+C_2e^x$

Given that $y(0)=0$ and $y\left(\dfrac\pi2\right)=1$ , you have

$\begin{cases}0=C_1+C_2\\1=C_1e^{-5\pi/2}+C_2e^{\pi/2}\end{cases}\implies C_1=\dfrac{e^{5\pi/2}}{1-e^{3\pi}},C_2=-\dfrac{e^{5\pi/2}}{1-e^{3\pi}}$

so that the particular solution is

$y=\dfrac{e^{5\pi/2}}{1-e^{3\pi}}(e^{-5x}-e^x)$

6 0

2 years ago

What is (xy)7 in expanded form

Natali5045456 [20]

Answer:

7xy

Step-by-step explanation:

multiply the outside of the brackets by the inside so it is 7xy

3 0

2 years ago

Help 10 points and maybe branniest if it works!!!

Nastasia [14]

Answer:

(9,13)

Step-by-step explanation:

Graph it

6 0

2 years ago

You have 18 stamps from Mexico in your stamp collection. These stamps represent 3/8 of your collection. The rest of the stamps a

azamat

48 stamps are from the United States

6 0

2 years ago

Read 2 more answers