Drag each equation to the correct location on the table. For each equation, determine the number of solutions and place on the appropriate field in the table.
3(x + 5)2 = -2
5x2 + 2 = 4x
4x2 - 16x = 0
3x2 + 24x = -48

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

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

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