Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. the tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. the length of the tray should be five centimeters longer than its width.

the volume of a rectangular prism is found using the formula v = l · w · h, where l is the length, w is the width, and h is the height.

complete the equation that models the volume of the tray in terms of its width, x, in centimeters.

for width=7.5 cm

3x^2 +15x=3*(7.5) ^2+15*7.5= 281.25 cm3

281.25>252 

it is not possible that the width is 7.5 cms

3x^2 +15x =  252

No, too large

Is it possible for the width of the tray to be 7.5 centimeters?

Step-by-step explanation:

full plato answer verified correct

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.