2 years ago

Solve the inequality and describe the solution set. y–6≥12

Mathematics

1 answer:

raketka [301]2 years ago

8 0

Answer:

y ≥ 18

All numbers greater than or equal to 18

Step-by-step explanation:

y – 6≥ 12

Add 6 to both sides

y ≥ 18

All numbers greater than or equal to 18

You might be interested in

Factor the trinomial: 4x2 - 8x - 5

shtirl [24]

Correct answer is A.

$(2x + 1)(2x - 5)
\\2x(2x-5)+1(2x-5)
\\4x^2-10x+2x-5
\\4x^2-x-5$

6 0

3 years ago

Read 2 more answers

Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integ

tensa zangetsu [6.8K]

Answer:

$y=3t^9+C$

Step-by-step explanation:

Given: $\dfrac{dy}{dt}=27t^8$

We want to obtain the general solution of the given differential equation.

$dy=27t^8$ dt\\$Take the integral of both sides\\\int dy =\int 27t^8$ dt$\\y=\dfrac{27t^{8+1}}{8+1} +C$, (where C is the constant of integration)$\\y=\dfrac{27t^{9}}{9} +C\\\\y=3t^9+C$

The general solution of the differential equation is: $y=3t^9+C$

CHECK:

$\dfrac{d}{dt} y=\dfrac{d}{dt}(3t^9+C)=\dfrac{d}{dt}(3t^9)+\dfrac{d}{dt}(C)\\\\\text{Since derivative of a constant is zero}\\\\\dfrac{dy}{dt}=27t^{9-1}\\\dfrac{dy}{dt}=27t^8$