Abox with an open top is to be constructed from a rectangular piece of cardboard with dimensions w = 14 in. by l = 20 in. by cutting out equal squares of side x at each corner and then folding up the sides.

i found the function that models the volume v of the box
v(x) =4x^3-68x^2+280x

but i'm having trouble with finding the the values of x for which the volume is greater than 210 in^3. (round your answer to three decimal places.)

and finding the largest volume that such a box can have. (round your answer to three decimal places.)

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

correct answer is b. 27/8

step-by-step explanation: