Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. release your mouse button when the item is place. if you change your mind, drag the item to the trashcan. click the trashcan to clear all your answers. add the following polynomials, then place the answer in the proper location on the grid. write the answer in descending powers of a. add: 2a3 + 5a - 7 and 5a2 - 6a + 12

p = 2a³ +5a -7

q = 5a² -6a +12

p+q

Form the sum and collect terms.

p + q = (2a³ +5a -7) + (5a² -6a +12)

... = a³(2) + a²(5) + a(5 -6) + (-7+12) . . . . . add coefficients of like terms

... = 2a³ + 5a² -a +5 . . . . simplify

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0