Solve the inequalities for x, and match each solution to its number line graph. two less than of a number (x) is no more than . the sum of two times a number (x) and -2 is at least 8. seven subtracted from 4 times a number (x) is more than 13. four added to 3 times a number (x) is less than 19.

On a number line that represents an inequality, if it has a closed circle the inequality will say or show a greater/ less than or equal to or it will say the number is at least this. The at least means that it could be more than this but it could also be this number.

2 - 3/2(x) greater than or equal to 5 1/2 - This one is the last option

(2 * x) + (-2) greater than or equal to 8 - This one is the first option

7 - (4 * x) greater than 13 - The second one

4 + (3 * x) less than 19 - The third one

a is the right answer

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