2 consecutive integers...x and x + 1
x + x + 1 < = 3
2x + 1 < = 3
2x < = 3 - 1
2x < = 2
x < = 1
x + 1 = 1 + 1 = 2.......the greatest possible value for the greatest integer is 2
the ratio that is equal to 10:85 is 20:170 because if you multiply both sides by two you get 20:170
Answer:
The answer is 48 units³
Step-by-step explanation:
If we simply draw out the region on the x-y plane enclosed between these lines we realize that,if we evaluate the integral the limits all in all cannot be constants since one side of the triangular region is slanted whose equation is given by y=x. So the one of the limit of one of the integrals in the double integral we need to evaluate must be a variable. We choose x part of the integral to have a variable limit, we could well have chosen y's limits as non constant, but it wouldn't make any difference. So the double integral we need to evaluate is given by,

Please note that the order of integration is very important here.We cannot evaluate an integral with variable limit last, we have to evaluate it first.after performing the elementary x integral we get,

After performing the elementary y integral we obtain the desired volume as below,

Answer:
1/8y-6=x
Step-by-step explanation:
To solve an equation or inequality, you can add the same value to both sides of the expression. Here, it is convenient to choose that value to be the opposite of the constant (+15) added to y, so that constant is replaced by zero.
y + 15 - 15 < 3 - 15 . . . . . we have added -15 to both sides
y < -12 . . . . . . . . . . . . . . . the result of simplifying. This is your solution.