2 years ago

Solve x + 5 > 8. The solution is ____

Mathematics

2 answers:

qwelly [4]2 years ago

6 0

X3 -10x2 + 25x - 8 (evaluated)

professor190 [17]2 years ago

4 0

What do you mean?
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Six less than three times a number. write an algebraic expression to represent the given phrase

Masja [62]

Answer: 3x-6

Step-by-step explanation:

Let the number be x

3 times the number is 3x

6 less than 3x is 3x-6

4 0

3 years ago

Three times a number plus twice another is 10, while their sum is 10, Find the numbers

Aleks [24]

$3a+2b=10 \\\\ a+b=10 \\\\ \boxed{a=10-b} \\\\ 3(10-b)+2b=10 \\\\ 30-3b+b=10 \\\\ -b=10-30 \\\\ -b=-20 \\\\ \boxed{b=20} \\\\ a=10-20 \\\\ \boxed{a=-10}$

5 0

3 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

2 years ago

Will (-2)^2 and -2^2 have the same solution? why or why not

nexus9112 [7]

Doing this so I can ask sorry

5 0

3 years ago

Luz earns $400 for 40 hours of work. Use a ratio table to determine how much she earns for 6 hours of work.

LiRa [457]

To work out how much Luz earns, you simply have to follow 400/40=10, so she earns $10/hour. We can therefore establish that if she works for 6 hours, she'll earn $60.

7 0

3 years ago

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