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3 years ago

How many solutions? 2x + 6 = 3(x + 2) - x

Mathematics

1 answer:

Serjik [45]3 years ago

6 0

Answer:

2x = 2x

Step-by-step explanation:

2x + 6 = 3x + 6 - x

2x = 3x - x(cancel equal terms)

2x=2x

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A. Find y in terms of x if

givi [52]

Answer:

A. $y(x) =\sqrt{ 2(\frac{x^5}{5} -\frac{6^5}{5})}$

B.Therefore the solution is defined on the interval:

6≤ x ≤ +∞

Step-by-step explanation:

Given differential equation is

$\frac{dy}{dx} = x^4y^{-1}$

$\Rightarrow \frac{dy}{dx} =\frac{ x^4}{y}$

$\Rightarrow y dy = x^4dx$

Integrating both sides:

$\Rightarrow\int y dy = \int x^4dx$

$\Rightarrow \frac{y^2}{2} =\frac{x^5}{5} +C$ ........(1)

Given y(0)= 6

it means y=0 when x=6

Putting x=6 and y=0 in the equation (1)

$\therefore \frac{0^2}{2} =\frac{6^5}{5} +C$

$\Rightarrow C=-\frac{6^5}{5}$

Equation (1) become:

$\Rightarrow \frac{y^2}{2} =(\frac{x^5}{5} -\frac{6^5}{5})$

$\Rightarrow y} =\sqrt{ 2(\frac{x^5}{5} -\frac{6^5}{5})}$

Therefore $y(x) =\sqrt{ 2(\frac{x^5}{5} -\frac{6^5}{5})}$

(B)

The quantity under root must greater than or equal to zero.

Therefore,

$2(\frac{x^5}{5} -\frac{6^5}{5})} \geq0$

$\Rightarrow \frac{x^5}{5} -\frac{6^5}{5}} \geq0$

$\Rightarrow \frac{x^5}{5} \geq\frac{6^5}{5}}$

$\Rightarrow x^5\geq {6^5$

$\Rightarrow \sqrt[5]{x^5} \geq \sqrt[5]{6^5}$

$\Rightarrow x\geq {6$

When x≥0 then the value of $2(\frac{x^5}{5} -\frac{6^5}{5})}$ is real other wise the value of $2(\frac{x^5}{5} -\frac{6^5}{5})}$ is imaginary.

Therefore the solution is defined on the interval:

6≤ x ≤ +∞

8 0

4 years ago

Plzzzz helppppppppppppp

Sindrei [870]

#2 Is Complementary because angle 1 and 2 are equal to 90 degrees

#4 Is Adjacent. That mean front he middle point/vertex both angles are on the same side and don’t over lap.

To finish the rest i have some notes.

8 0

3 years ago

Evaluate the expression (ab)2 for a = 2 and b = 5. 100 50 20 625

kakasveta [241]

(ab)2

((2)(5.1005020625)2=?

((2)(5.1005020625)2=20.402

7 0

3 years ago

Read 2 more answers

Hello can you please help me posted picture of question

vichka [17]

Hello fellow user!

Here is something that may help you. ^.^

P(GG)=(8/12)(7/11)

P(GG)=56/132

P(GG)=14/33

The answer is .B! Please contact me for any further questions. Cheerio and have a lovely day.

5 0

3 years ago

Read 2 more answers

Graph the line y= -7.

amid [387]

Answer: Use the coordinates (0,-7)

Step-by-step explanation:

7 0

3 years ago