An indy car driver has to be a certain height to fit into the race car. the following inequality 175< =3x-17< =187, where x represents the height of the driver in inches.

Given inequality : 175 ≤ 3x-17 ≤ 187, where x represents the height of the driver in inches.

Let us solve the inequality for x.

We have 17 is being subtracted in the middle.

Reverse operation of subtraction is addition. So, adding 17 on both sides and also in the middle, we get

175+17 ≤ 3x-17+17 ≤ 187+17

192  ≤ 3x ≤ 204.

Dividing by 3.

192/3  ≤ 3x/3 ≤ 204/3.

64 ≤ x ≤ 68.

Therefore, the height of the driver should be from 64 to 68 inches  to fit into the race car.

i’m here for points.

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