Given that a=4, b=3 and c=-4 work out b(squared) -2ac

41

Step-by-step explanation:

b^2 -2ac

Let  a=4  b=3  c=-4

( 3)^2 -2 (4) (-4)

Exponents first

9 - 2 (4) (-4)

Multiply

9 + 32

41

41

Step-by-step explanation:

b^2 - 2ac                plug in the values

3^2 -2(4)(-4)             start with the exponent (remember PEMDAS)

9  -2(4)(-4)                start multiplying from left to right

9  -8(-4)                    multiply

9 + 32                       add

41                              that's your answer :)  

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

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