a) (f+g)(x) = f(x) + g(x) = -4x + 5x = x
b) -9(x) = -9x? I have no idea what this means.
c) (f o g)(x) = (f(g(x)) = f(5x) = -4 (5x) = -20x
Answer:
D = (-4, -4)
Step-by-step explanation:
Given;
midpoint of line CD = M(-3, -7)
coordinate of C = (-2, -10)
The coordinate of D is calculated as follows;
C(-2, -10)---------------------M(-3, -7)--------------------D
Therefore, the coordinate of D = (-4, -4)
Answer:
2x⁴+x³-x²+54x+56
Step-by-step explanation:
Given the expression length of dylan room = (x² – 2x + 8) and width = (2x² + 5x – 7), assuming the shap of the room is rectangular in nature, the formula for calculating area of a triangle is given as;
Area of rectangle = Length *Width
Area of the rectangle = (x² – 2x + 8)(2x² + 5x – 7)
Area of the rectangle = x²(2x² + 5x – 7) - 2x (2x² + 5x – 7) + 8(2x² + 5x – 7)
= (2x⁴+5x³-7x²)-(4x³+10x²-14x)+(16x²+40x-56)
expanding the bracket
= 2x⁴+5x³-7x²-4x³-10x²+14x+16x²+40x-56
Collecting the like terms;
= 2x⁴+5x³-4x³-7x²-10x²+16x²+40x+14x+56
= 2x⁴+x³-x²+54x+56
Hence, the expression that represents the area (lw) of Dylan's room is 2x⁴+x³-x²+54x+56
Answer:
y = -5/2x + 1
Step-by-step explanation:
y=mx+b
m is slope
b is y intercept
