How many integer-valued solutions are there to each of the following equations and inequalities?a) x1 + x2 + x3 + x4 + x5 = 63, all xi > 0.b) x1 + x2 + x3 + x4 + x5 = 63, all xi ≥ 0.c) x1 + x2 + x3 + x4 + x5 ≤ 63, all xi ≥ 0.d) x1 + x2 + x3 + x4 + x5 = 63, all xi ≥ 0, x2 ≥ 10.e) x1 + x2 + x3 + x4 + x5 = 63, all xi ≥ 0, x2 ≤ 9.

Three times the difference of federico’s age, and 4, increased by 7, is greater than 37. what are possible values of federico’s age?

Come up with a new linear function that has a slope that falls in the range 10 m − < < . choose two different initial values. for this new linear function, what happens to the function’s values after many iterations? are the function’s values getting close to a particular number in each case?

Someone answer asap for ! a ball is rolled down a ramp. the height, f(x), in meters, of the ball x seconds after it is released is modeled by the function f(x) = x²- 10x + 25 for all values of x from 0 to 5. which statement about the ball is true? a. the maximum height of the ball is 5 meters b. the height of the ball increases from 0 to 5 meters above the ground. c. the ball has traveled 5 meters when it reaches the bottom of the ramp. d. the ball has been traveling for 5 seconds when it reaches the bottom of the ramp