Answer:
Step-by-step explanation:
x² + 4x -21 = x² + 7x - 3x -3*7
= x*(x + 7) -3(x + 7)
=(x + 7)*(x-3)
The correct factorization would be (5x - 4)(25x^2 + 20x + 16).
The law of factoring cubes states that we use the following formula when we have two cubes being subtracted by one another.
(a - b)(a^2 + ab + b^2)
If we take the cube root of 125x^3 we get 5x, which will be our a value. If we take the cube root of 64, we get 4, which will be our b value. Then we plug in to the formula.
(5x - 4)((5x)^2 + (5x)(4) + 4^2)
(5x - 4)(25x^2 + 20x + 16)
I think the problem with your second answer is that you just did not properly multiply the 5x and the 4 to get 20x (instead you got 15x).
Find the value of Y term or find the value of X in term of Y ????
The equation that represents that line is
y=2/3x+5.
First, you have to find the slope (the change of y over the change of x which here is 2/3. Then, you put one of the points in and solve. I used (3,7) When you input them into the equation, you get 7=2/3 (3)+_ Which gives you 7=2+_ .
5+2 is seven, so the blank is 5. So, when you do that, you get Y=2/3x+5.
If you need more of an explanation, comment.
