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3 years ago

12

Please help me!!!! I have been stuck on this question for like a half an hour now.

2 answers:

ArbitrLikvidat [17]3 years ago

8 0

It should be A.

You can simplify by taking out the GCF for each term which is 3. So divide each term by 3, which leaves you with

3(3x^2+7x+2)

Simplify & factor and you get
3(3x+1)(x+2)

Grace [21]3 years ago

5 0

3x^2+21x+6=3(3x^2+7x+2)=3(3x^2+6x+x+2)=3[3x(x+2)+(x+2)]=3(3x+1)(x+2)

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Solve the following differential equation: (1− 5 y +x) dy/dx +y= 5/x −1 .<br><br> C=

Ganezh [65]

Answer:

$y(1+x)+x-5\ln xy=C$

Step-by-step explanation:

Consider the given differential equation is

$(1-\frac{5}{y}+x)\frac{dy}{dx}+y=\frac{5}{x}-1$

$(1-\frac{5}{y}+x)\frac{dy}{dx}=\frac{5}{x}-1-y$

$(1-\frac{5}{y}+x)dy=(\frac{5}{x}-1-y)dx$

Taking all variables on right sides.

$(1-\frac{5}{y}+x)dy-(\frac{5}{x}-1-y)dx=0$

$(-\frac{5}{x}+1+y)dx+(1-\frac{5}{y}+x)dy=0$

Let as assume,

$M=-\frac{5}{x}+1+y$ and $N=1-\frac{5}{y}+x$

Find partial derivatives $\frac{\partial M}{\partial y}$ and $\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$ and $\frac{\partial N}{\partial x}=1$

Since $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ , therefore the given differential equation is exact.

The solution of the exact differential equation is

$\int Mdx+\int N(\text{without x)}dy=C$

$\int (-\frac{5}{x}+1+y)dx+\int (1-\frac{5}{y})dy=C$

$yx-5\ln x+x+y-5\ln y=C$

$y+x+xy-5\ln x-5\ln y=C$

$y(1+x)+x-5(\ln x+\ln y)=C$

$y(1+x)+x-5\ln xy=C$

7 0

4 years ago

Find the exact value of sec (–660)°

Nostrana [21]

Add full rotations of 360° degree until the angle of between 0° and 360°.
Sec (60)
The exact value is sec (60) is 2

8 0

3 years ago

There were 80 people in the parade. A total of 5/8 of the people played a musical instrument.

creativ13 [48]

50 People played an instrument. Every 10 people is represented as a 1 in the fraction. 5=50

6 0

3 years ago

Read 2 more answers

( h -3 )2 for h = 5 what is it

Nookie1986 [14]

Answer: $4$

Step-by-step explanation:

Substitute the value of the <u><em>variable</em></u> into the <u><em>equation</em></u> and simplify.

I evaluate and found the exact value: 4

$( h -3 )2 \\h = 5$

If you want me to Find the Linearization at h=5: Use the formula $L(x)=f(a)+f'(a)$ $(x-a)$ to find the linearization.

Answer(Find the Linearization at h=5): $L(x)=2x-6$

4 0

2 years ago

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In old-growth forests of douglas fir, the spotted owl dines mainly on flying squirrels. If we left When the initial population i

Delicious77 [7]

Answer: There are 667 owls for every 1000 squirrels.

Step-by-step explanation:

Since we have given that

Number of owls = 30

Number of squirrels = 45

If the number of owls and squirrels will continue to increase.

If there are 1000 squirrels, then the number of owls would be

$\dfrac{30}{45}=\dfrac{x}{1000}\\\\x=\dfrac{30\times 1000}{45}\\\\x=666.67\\\\x\approx 667$

Hence, there are 667 owls for every 1000 squirrels.

5 0

3 years ago