Sam wants to be named the greatest home run hitter of his baseball league. in the past 5 seasons he has hit 24 , 20, 23, 20, and 21 home runs, respectively. to qualify for the home run trophy he must average at least 22 home runs in 6 seasons. how many home runs, must he hit this season to qualify? a. +22/6_> 108 b. h+108/6_> 22 c. h+108/6> 22 d. h+22/6> 108

The number of home runs, Sam must hit to qualify is  (H+108)/6 ≥ 22.

The following steps would be taken in order to determine the number of home runs Sam must hit to be names the greatest home run hitter.

The first step is to determine the sum of his hit in the past 5 seasons : 24 + 20 + 23 + 20 + 21 = 108.

The second step is to determine the sum of scores he must have in order to qualify. This would be determined by multiplying the average by the total number of seasons.

= 22 x 6 = 132.

The third step is to subtract 108 from 132.

132 - 108 = 24.

The option that would yield 24 is the second option.

To learn more about the mean of a set of numbers, please check: link

b. (108+x)/6 >=22

Step-by-step explanation:

to find the average, add them up and divide by the number of numbers

average for 6 seasons

(24+20+23+20+21+x)/6

it must be at least 22

(24+20+23+20+21+x)/6>= 22

simplify

(108+x)/6 >=22

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