Which statement about the following system of inequalities is true?

Mathematics

1 answer:

tatyana61 [14]3 years ago

8 0

Answer: Option C) The solution contains points in three quadrants of the coordinate plane.

Please, see the attached files.

Thanks.

You might be interested in

Please help asap 50 pts

gregori [183]

I believe the answer is C. It doesn't make sense to drop an object from -16 feet, and it doesn't make sense to have a -120 in the equation. It should be positive for it to come out right.

3 0

3 years ago

Read 2 more answers

Prove 2/sqrt3cosx+sinx=sec(pi/6-x)

dlinn [17]

Thus L.H.S = R.H.S that is 2/√3cosx + sinx = sec(Π/6-x) is proved

We have to prove that

2/√3cosx + sinx = sec(Π/6-x)

To prove this we will solve the right-hand side of the equation which is

R.H.S = sec(Π/6-x)

= 1/cos(Π/6-x)

[As secƟ = 1/cosƟ)

= 1/[cos Π/6cosx + sin Π/6sinx]

[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]

= 1/[√3/2cosx + 1/2sinx]

= 1/(√3cosx + sinx]/2

= 2/√3cosx + sinx

R.H.S = L.H.S

Hence 2/√3cosx + sinx = sec(Π/6-x) is proved

Learn more about trigonometry here : brainly.com/question/7331447

#SPJ9

5 0

2 years ago

Gabby is buying flowers for a friend. She can choose daisies, carnations, or sunflowers. She can put the flowers in a clear, red

FrozenT [24]

Combination tells the number of ways an object can be arranged. The number of all of the possible combinations Gabby can have is 9.

<h3>What is Combination?</h3>

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

$^nC_r = \dfrac{n!}{r!(n-r)!}$

where,

n is the number of choices available,

r is the choices to be made.

We know that the number of options of the flower with Gabby is 3( daisies, carnations, or sunflowers) and the color choices she has is (clear, red, or blue), therefore, she $^3C_1$ choices for the flower, also, she has $^3C_1$ choices for color.