4 years ago

when is it possible for the product of a rational and an irrational number to result in a rational value?

Mathematics

1 answer:

zimovet [89]4 years ago

7 0

It is always possible for the product of a rational number and irrational number to result in a rational value.

You might be interested in

A factory made 845 pairs of shoes in January. These shoes were sent to 3 shoe stores and 1 outlet mall. The numer of pair of sen

saul85 [17]

It would be 845divided by 4 =211.25 to each one hope this helps

3 0

3 years ago

The graph shows the solution to the initial value problem y'(t)=mt, y(t0)= -4

Charra [1.4K]

$y'(t)=mt
\\
\\ y=\int {mt} \, dt=m \int{t} \,dt=m \frac{t^2}{2} +C \\ \\y= \frac{mt^2}{2}+C$

Now find equation of the graph. It passes through the point (2,3), and intersects y-axis at -2.

$y=at^2+b
\\
\\3=a\times 2^2-2
\\
\\3=4a-2
\\
\\5=4a
\\
\\a= \frac{5}{4} 
\\
\\y=\frac{5}{4} t^2-2 \\ \\y= \frac{m}{2} t^2+C
\\ \\ \frac{m}{2} = \frac{5}{4} 
\\
\\m= \frac{5}{2} 
\\
\\C=-2
\\
\\y(t_0)=-4
\\
\\-4= \frac{5}{4} t_0^2-2
\\
\\ -2= \frac{5}{4} t_0^2
\\
\\ t_0^2=- \frac{8}{5} 
\\
\\t_0=\pm \sqrt{- \frac{8}{5} }$

3 0

4 years ago

Rewrite in simplest radical form, thx :)

Aleks [24]

Answer:

The answer is

$\sqrt[3]{ {x}^{2} }$