Answer:
(4,2/5) (−5,11/5)
Step-by-step explanation:
To determine which pairs are solutions, substitute the coordinates into the left side of the equation and if equal to the right side then they are solutions.
(7, - 2)
2(7) + 10(- 2) = 14 - 20 = - 6 ≠ 12 → (7, - 2) is not a solution
(- 5, - 4)
2(- 5) + 10(- 4) = - 10 - 40 = - 50 ≠ 12 → (- 5, - 4) is not a solution
(4, )
2(4) + 10() = 8 + 4 = 12 → hence solution
(- 5, )
2(- 5) + 10( ) = - 10 + 22 = 12 → hence solution
Answer:
150 units;
Maximum revenue: $62,500.
Step-by-step explanation:
We have been given that a company’s total revenue from manufacturing and selling x units of their product is given by
. We are asked to find the number of units sold that will maximize the revenue.
We can see that our given equation in a downward opening parabola as leading coefficient is negative.
We also know that maximum point of a downward opening parabola is ts vertex.
To find the number of units sold to maximize the revenue, we need to figure our x-coordinate of vertex.
We will use formula
to find x-coordinate of vertex.
Therefore, 150 units should be sold in order to maximize revenue.
To find the maximum revenue, we will substitute
in our given formula.




Therefore, the maximum revenue would be $62,500.
Let the time taken by computer for virus scan be, 'x' days
We are given that Computer A runs a virus scan in every 2.75 days and Computer B runs a virus scan in every 3.5 days.
<h3>Amount of work done by computer A⤵️</h3>
Amount of work done in one day = 
Amount of work done in x days = 
<h3>Amount of work done by Computer B⤵️</h3>
Amount of work done in one day = 
Amount of work done in x days = 
Since, They are doing the same work the amount of work done is 1.

Solve for x ~






➪ <em>Thus, the time taken when both computers run a virus scan at the same time again is, 1.54 days</em>
We are given the equation:
13x^2 + 6√3 xy + 7y^2 - 16 = 0
Based on the general equation of conic sections:
Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0,
A = 13
B = 6√3
C = 7
D = 0
E = 0
F = -16
So we can find the graph of the equation by solving for the discriminate B^2 - 4AC
B^2 - 4AC, substitute given:
(6^2 * 3) - 4 (13 * 7) = -256
since the discriminate is less than zero, the graph could be a circle or a parabola. In this case, the values of A and C are not equal, then our graph is a parabola.