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3 years ago

So i know g(x)=3k-2x² and g(-3)=-6 how do i know what g(x) ad k are?

Mathematics

1 answer:

schepotkina [342]3 years ago

8 0

Answer:

find k by putting -3 where there is x than -6 on g(x)

Step-by-step explanation:

g(x)=3k-2x²

-6=3k-2(-3)²

-6=3k-18

-6+18=3k

12=3k

12÷3=3k÷3

4=k

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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

Our new training room can seat 150 employees. If 6 tables consisting of 6 chairs are now taken, what percentage of our new facil

Anvisha [2.4K]

Step 1

Find out how many chairs are already taken. Multiply the tables by the chairs

$6*6=36$

Step 2

By using proportion find the percentage

$\frac{150}{100} =\frac{36}{x} \\ \\ 150*x=36*100\\\\ x= \frac{3600}{150} \\ \\ x=24$

therefore

the answer is

$24$ %

3 0

3 years ago

Read 2 more answers

Solve using the square root method X2=25<br>

aleksandrvk [35]

Answer:

Square root =

remember :

$\boxed {x^2 = \pm a}$

x² = ± a

x = √±a

x = √±25

x = ±5

• x = 5 and -5

8 0

3 years ago

Read 2 more answers

Evaluate u^2 -2u+4 when u= -3

OLga [1]

Answer:

Step-by-step explanation: Sub -3 into where all the u’s are. So it would be

(-3)^2 - 2(-3) + 4

Which would equal 19

6 0

3 years ago

I need the answer asap

Leni [432]

Answer:

3a-21

Step-by-step explanation:

You multiple 3 with the inside of the parenthesis. 3 time a = 3a and 3 times negative 7 is -21

7 0

3 years ago