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3 years ago

Solve the inequality 4y + 3 > 2y + 14

Mathematics

1 answer:

aleksley [76]3 years ago

6 0

9514 1404 393

Answer:

y > 11/2

Step-by-step explanation:

Subtract 2y+3 to get the variable term alone on one side.

2y > 11

y > 11/2 . . . . . . divide by the coefficient of y

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Determine whether the given statement is true or false.<br> 27 €(14, 16, 18,..., 32)

Vera_Pavlovna [14]

Answer:

answer is true because 27 is belong between 14 to 32 so, it true

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2 years ago

Show that ( 2xy4 + 1/ (x + y2) ) dx + ( 4x2 y3 + 2y/ (x + y2) ) dy = 0 is exact, and find the solution. Find c if y(1) = 2.

fredd [130]

$\dfrac{\partial\left(2xy^4+\frac1{x+y^2}\right)}{\partial y}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

$\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

so the ODE is indeed exact and there is a solution of the form $F(x,y)=C$ . We have

$\dfrac{\partial F}{\partial x}=2xy^4+\dfrac1{x+y^2}\implies F(x,y)=x^2y^4+\ln(x+y^2)+f(y)$

$\dfrac{\partial F}{\partial y}=4x^2y^3+\dfrac{2y}{x+y^2}=4x^2y^3+\dfrac{2y}{x+y^2}+f'(y)$

$f'(y)=0\implies f(y)=C$

$\implies F(x,y)=x^2y^3+\ln(x+y^2)=C$

With $y(1)=2$ , we have

$8+\ln9=C$

$\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}$

8 0

3 years ago

ANSWER ASAP GIVING BRAINLIEST AND STUFF!

kupik [55]

Answer:

Nope

The absolute value of a number or an expression is always positive or zero. It cannot be negative. With absolute value, we are only interested in how far a number is from zero, not the direction.

Step-by-step explanation:

The absolute value of a number means the distance from 0. ... You cannot have negative distance, so it has to be positive.

How can you use absolute value to represent a negative number?

EX:

Subtract one number from the other and give the result the sign of the number that has the greater absolute value. 2 – 9 = -7 because the difference between 9 and 2 is 7 and the -9 has the larger absolute value making the result negative.

(SORRY) IF THIS IS WRONG THIS IS WHAT THE INTERNET GAVE TO ME <3 anyways i hope this kinda help you understand

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2 years ago

Which of these is the statement of the zero product rule?

anyanavicka [17]

Answer:

if a·b=0, then either a=0 or b=0, or both

Step-by-step explanation:

just answered it on apex :)

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3 years ago

Read 2 more answers

Explain the difference between common and preferred stock? List the advantages and disadvantages of each.

Arturiano [62]

Common Stock :

→Common stock is the most common type of stock that is issued by companies.

→ Have voting privileges, whereas holders of preferred stock may not.

→ Most common stock gives owner one vote per number of shares owned.

Preferred Stock :

→ Preferred stock is generally considered less volatile than common stock.

→ Preferred stockholders generally do not have voting rights.

Both common stock and preferred stock have their advantages.

When considering which type may be suitable for you, it is important to assess your financial situation, time frame, and investment goals.

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3 years ago

Solve the inequality 4y + 3 > 2y + 14​

Solve the inequality 4y + 3 > 2y + 14