All categories

2 years ago

Select the correct answer from each drop-down menu.

Mathematics

2 answers:

olganol [36]2 years ago

8 0

The system of inequalities is:

y ≤ -0.05*x^2 + 6x

y > 1.5x + 45

(30, 90) is not a solution of that system, while (60, 160) is a solution.

<h3>How to get the system of inequalities?</h3>

We know that the revenue y is given by:

y ≤ -0.05x^2 + 6x

And we know that the costs are 1.5x + 45, and the revenue must be larger than that, so we also have the inequality:

y > 1.5x + 45

So the system is:

y ≤ -0.05*x^2 + 6x

y > 1.5x + 45

Now, the point (30, 90) means that we need to replace x by 30 and y by 90, replacing that in the second inequality, we will get:

90 > 1.5*30 + 45 = 90

90 > 90

This is false, so the point is not a solution of this inequality, meaning that the point is not a solution of the system.

For the second point we do the same: x= 60, y = 160, replacing that in the second inequality we get:

160 > 1.5*60 + 45 = 135

160 > 135

This is true, now we need to check with the other inequality.

160 ≤ -0.05*60^2 + 6*60 = 180

This is also true.

So the point (60, 160) is a solution to the system.

If you want to learn more about systems of inequalities, you can read:

brainly.com/question/9774970

Mariana [72]2 years ago

3 0

Answer:

30,90= not a solution
60,160= a viable solution

Step-by-step explanation:

You might be interested in

A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is

Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

$\Delta s = s_2-s_1$

And apply it to get the horizontal and vertical displacements.

Once we have found them, we can use trigonometric functions to find the projection angle with respect the horizontal.

Linear displacements.

Using the definition of displacement, we can write the horizontal displacement as

$\Delta x = x_2-x_1$

So we can use the given points $P1:(x_1,y_2) \text{ and } P_2: (x_2,y_2)$ on the displacement formula

$\Delta x = 15-4\\\Delta x = 11$

In the same manner we can look at the y components of those points to find the vertical displacement

$\Delta y = 17-8\\\Delta y =9$

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

$\tan(\theta) = \cfrac{\Delta y}{\Delta x}$

Solving for the angle we get

$\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)$

Replacing values

$\theta = \tan^{-1}\left(\cfrac{9}{11}\right)$

Which give us

$\theta = 39.3^\circ$

So the projection angle is 39.3 degrees.

7 0

3 years ago

Help plssssssssssssssssss hurrry plsssssssss

Gekata [30.6K]

-6, -3, 0, 1, 5

Jehsiwnwjwhkebeeknekebeieneuebeoehekennee

3 0

3 years ago

Read 2 more answers

Find the distance between (-4,6) and (3,-7)

Natali5045456 [20]

Answer:

4-6 is 2 and 3-7 is 4

Step-by-step explanation:

gufu6hrhjgbycjjjsidnidjdudjeijwjseyfhjokjo

8 0

3 years ago

Saj wants to go to all 19 home games at a football club.

Andreyy89

Answer:

£153

Step-by-step explanation:

If Saji bought a normal ticket for all 19 games, they would have to make 19 payments of £28. So, 28*19 would let us know that he would spend £532 in total. Then it's simply 532-379 to find the answer.

8 0

3 years ago

Solve for d 4d > 8 (Please help)

vekshin1

Answer:

d > 2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers