What is the quotient?
7x – 10 – 19/x-1
7x + 4 – 5/x-1
7x – 10 + 1/x-1
7x + 4 – 13/x-1

B)

Step-by-step explanation:

Here we have to divide 7x^2 - 3x - 9 by (x - 1).

Step 1: We need to get rid of 7x^2 that is the leading coefficient.

We need to add 7x in the quotient part and multiply with (x -1 )

7x(x - 1) = 7x^2 - 7x

Now we have to subtract.

Step 2: We got dividend is 4x - 9

Now we have to get rid off 4x, so we have to add +4 in the quotient part and multiply with (x -1)

4(x -1) = 4x - 4

Now we have to subtract

So we got the quotient = 7x + 4 and the remainder is -5

The answer is = 7x +4 -

Herewith I have attached the division figure.

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