Question- The image is appearing blank for me, could you try and re-send it or forward it to me. Thank you.
Answer:
where is the statement?????!!!
they are the same so set them equal
3x-10=2x+40 now combine like terms
3x-2x=40+10
x=50
7x³ = 28x is our equation. We want its solutions.
When you have x and different powers, set the whole thing equal to zero.
7x³ = 28x
7x³ - 28x = 0
Now notice there's a common x in both terms. Let's factor it out.
x (7x² - 28) = 0
As 7 is a factor of 7 and 28, it too can be factored out.
x (7) (x² - 4) = 0
We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.
x (7) (x - 2) (x + 2) = 0
Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.
x = 0 -----> so x = 0
7 = 0 -----> no solution
x - 2 = 0 ----> so x = 2 after adding 2 to both sides
x + 2 = 0 ---> so = x - 2 after subtracting 2 to both sides
Thus the solutions are x = 0, x = 2, x = -2.
The correct answer would be rectangle 'D'.
If we looked at rectangle 'E' and moved it to the left by 7 units (every unit = 1 square on the grid), we would arrive at a point. From then, we can move upwards 12 units and arrive at rectangle 'D'.
