4 years ago

How can you solve multiplication fast with no calculator?

1 answer:

4 0

You study as much of the times tables as possible and once you have that information stored in your Brain, you use mental math. You can write it down on paper but that’s pretty time consuming if you go at a slow pace.

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The solution to 6-(-3) is 3<br> True or false

Valentin [98]

False.
6-(-3) is going to be 6+3 which equals 9

7 0

3 years ago

Consider xưy" – 14xy' + 56y = 0. Find all values of r such that y=x" satisfies the differential equation for x > 0. Enter as

beks73 [17]

I bet the ODE is supposed to read

$x^2y''-14xy'+56y=0$

Then if $y=x^r$ , we have $y'=rx^{r-1}$ and $y''=r(r-1)x^{r-2}$ , and substituting these into the ODE gives

$r(r-1)x^r-14rx^r+56x^r=0\implies r(r-1)-14r+56=r^2-15r+56=0$

Solving for <em>r</em>, we find

$r^2-15r+56=(r-8)(r-7)=0\implies \boxed{r=8\text{ or }r=7}$

so that $y_1=x^8$ and $y_2=x^7$ are two fundamental solutions to the ODE. Thus the general solution is

$\boxed{y(x)=C_1x^8+C_2x^7}$

Given that $y(1)=4$ and $y'(1)=3$ , we get

$\begin{cases}4=C_1+C_2\\3=8C_1+7C_2\end{cases}\implies C_1=-25\text{ and }C_2=29$

So the particular solution is

$\boxed{y(x)=29x^7-25x^8}$

4 0

4 years ago

Rectangular apartments are 12 ft longer than they are wide. Each apartment has 1,053 ft^2 of floor space. What are the dimension

sashaice [31]

Can i just have points pls

7 0

3 years ago

The pic is the question

Mazyrski [523]

It’s B
Good luck!! Hope this helps

7 0

3 years ago

PLEASE HELP I REALLY DONT UNDERSTAND

Katarina [22]

Answer:

x = 1

Step-by-step explanation:

If you plug in 1 in both equations you will get 3 as your answer as it is the intersection of those two functions.

7 0

3 years ago