Answer:
5−x²+2xy−y²
Step-by-step explanation:
5 - (x-y)²
Rewrite
(x−y)² as (x−y)(x−y) so
5−((x−y)(x−y))
Expand (x−y)(x−y) using the FOIL Method
Apply the distributive property.
5−(x(x−y)−y(x−y))
Apply the distributive property
5−(x⋅x+x(−y)−y(x−y))
Apply the distributive property
5−(x⋅x+x(−y)−yx−y(−y))
Simplify and combine like terms
Simplify each term
5−(x²−xy−yx+y²)
Subtract yx from −xy
5−(x²−2xy+y²)
Apply the distributive property
5−x²−(−2xy)−y²
Multiply −2 by −1
5−x²+2xy−y²
Answer:
g(x) = log(x+1) + 4
Step-by-step explanation:
If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).
The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.
Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.
The linear equation (y = mx + b) for this particular line is d = 0.6t
it's the same as finding the equation for any line except they use d instead of y and t instead of x. The slope m is 0.6 and intercept is zero.
F(x) = 8.
This is a constant function. No matter the value of x, f(x) will always be = 8
Therefore when x = 10, f(x) = 8.