Lorena solved the equation 5k – 3(2k – ) – 9 = 0. her steps are below. 5k – 6k 2 – 9 = 0 –k – 7 = 0 –k = 7 k = analyze lorena’s work to determine which statements are correct. check all that apply. in step 1, she correctly distributed –3 to the parentheses. in step 2, she combined like terms 5k and 2k. in step 3, she applied the multiplication property of equality to isolate the variable term. in step 4, she should have multiplied both sides by –1 to isolate the variable. lorena found the correct solution to the linear equation. any ?

 Step 1,2 and 4 are correct.

Step-by-step explanation:

We have been given an equation:

We need to analyze Lorena's steps

Step 1 is correct that is she correctly distributed –3 to the parentheses.

Therefore, she got 5k-6k+2-9=0

Step 2 is correct that is she combined like terms 5k and 2k

Therefore, she got -k-7=0

Step 3 is not correct that is  she did not use the multiplication property of equality.

Step 4 is correct that is she should have multiplied both sides by -1 to isolate the variable. so, to  get k= -7.

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

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