The average annual income, i, in dollars, of a lawyer with an age of x years is modeled with the following function:

i=-425x²+45,500x-650,000

according to this model, at what average age do lawyers earn their maximum average annual income?

round to the nearest year.
the average annual income, i, in dollars, of a lawyer with an age of x years is modeled with the following function:

i=-425x²+45,500x-650,000

according to this model, at what average age do lawyers earn their maximum average annual income?

round to the nearest year.

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.

Find the value of x. give reasons to justify your solutions! c ∈ ae

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. kevin spins the spinner 180 times. kevin determines about how many times the spinner will land on red or green, and his work is shown below. -kevin has the formula reversed; it should be the total number of sections over the number of red or green sections. -kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections. -kevin should multiply by the number of sections in the spinner rather than the total number of spins. -kevin calculated the prediction correctly and did not make any mistakes.