Answer:
see explanation
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), so
f(x) + g(x)
= x² + 5x + 6 + x + 3 ← collect like terms
= x² + 6x + 9
-------------------------------------------------
(f - g)(x) = (f(x) - g(x), so
f(x) - g(x)
= x² + 5x + 6 - (x + 3) ← distribute by - 1
= x² + 5x + 6 - x - 3 ← collect like terms
= x² + 4x + 3
---------------------------------------------------
(f • g)(x)
= f(x) × g(x)
= (x² + 5x + 6)(x + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x²(x + 3) + 5x(x + 3) + 6(x + 3) ← distribute parenthesis
= x³ + 3x² + 5x² + 15x + 6x + 18 ← collect like terms
= x³ + 8x² + 21x + 18
---------------------------------------------------------------
(
)(x)
= 
=
← factor the numerator
=
← cancel common factor (x + 3) on numerator/ denominator
= x + 2
The answer should be $180 30*3.50 = 105 + his daily amount 75 = 180
Y=3x^2. -12x+6
If x= 0 then y= 3•0^2 -12•0+6=6
X=0, y=6
y intercept is the place where the curve touches the y-axis and is at point (0, 6)
Answer:
The line segment's position changes, but its length remains the same.
Step-by-step explanation:
When a line segment is translated, it only will move its position up, down, or to the side.
The slope and length will stay the same, but the position will change.
So, this answer is correct because the position changes but not the length.
Answer:
20 flapjacks is the answer.