Look at the system of equations below. x +y +z = 2
2x + 3y - z = -3
3x + y + z = 4
What is the product of x and y?

Step-by-step explanation:

Given the system of equation;

x +y +z = 2 1

2x + 3y - z = -3 2

3x + y + z = 43

Add 1 and 2;

x+2x + y + 3y = 2-3

3x + 4y = -1 4

Add 2 and 3

2x+3x + 3y + y = -3+4

4x + 4y = 1 5

Equate 4 and 5 and solve;

3x + 4y = -1 4

4x + 4y = 1 5

Subtract

3x - 4x = -1-1

-x = -2

x = 2

substitute x - 2 into 4;

From 4; 3x+4y = -1

3(2) +4y = -1

6 + 4y = -1

4y = -1-6

4y = -7

y = 7/-4

y = -7/4

Product of x and y = 2 * -7/4 = -7/2

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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