Answer:
P(x) = (x-1)² (x-3)
Step-by-step explanation:
P(x)=x³- 5x² + 7x-3 = x² (x-1) - 4x(x-1) + 3(x-1) = (x²-4x+3)(x-1)
P(x) = (x-1)(x-3)(x-1) = (x-1)² (x-3)
The tree is 4 times as tall as the man, so we expect its shadow to be 4 times as long as the man's: 4 × 7.5 ft = 30 ft.
Here's your answer down here↓:
Step-by-step explanation:
x^3 - y^3 = (x - y)(x^2 + xy + y^2)
(x^4 - y^4) = (x^2 - y^2)(x^2 + y^2) = (x - y)(x + y)(x^2 + y^2)
Ok. So the factor (x-y) appears once in the top line and once in the second line. So we are going to take it the least amount of times.
So, the factor (x + y) appears in the top line zero times and in the second line one time so we will take it where it appears the least which is zero times so we are still at (x - y)
And it Same goes for the factors of (x^2 + y^2) and (x^2 + xy + y^2)
The area formula for a parallelogram is the same as it is for a square or a rectangle. It's A = b*h. They give you the area and the height, and x is part of the radicand for the base. Set it up like this:
. Divide both sides by 7 to get
. Now, the opposite of a square root is squaring, so let's undo that square root by squaring. But because this is an equation, if you square the right you also have to square the left.
. Squaring that square root undoes the square root, so now what we have is 36 = 6 + x, and 30 = x. There you go!
Most online schools allow you to use Desmos as a graphing calculator. Here is your graph.
