Question 1 (1 point) (05.06)
Which of the following points lie in the solution set to the following system of inequalities? (1 point)

y < −3x + 3
y < x + 2

a
(1, −5)

b
(1, 5)

c
(5, 1)

d
(−1, 5)

HELP PLEASE

The points that lie in the solution set of following system of inequalities are:

Option A (1,-5) and Option C (5,1)

Step-by-step explanation:

We need to find the points that lie in the solution set to the following system of inequalities

We will check each option to identify if they satisfy the given set of inequalities or net.

Option A (1,-5)

We have x=1, y=-5

Putting values and checking

So, Option A is correct as both values satisfy the given set of equations

Option B (1,5)

We have x=1, y=5

Putting values and checking

So, Option B is not correct as both values doesn't satisfy the given set of equations

Option C (5,1)

We have x=5, y=1

Putting values and checking

So, Option C is correct as both values satisfy the given set of equations

Option D (-1,5)

We have x=-1, y=5

putting values and checking

So, Option D is not correct as both values doesn't satisfy the given set of equations

The points that lie in the solution set of following system of inequalities are:

Option A (1,-5) and Option C (5,1)

i believe the answer is d.

hope it you! : d

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204