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
You calculate the markup or markdown in absolute terms (you find by how much the quantity changed), and then you calculate the percent change relative to the original value. So they're really just another form of "increase - decrease" exercises.
Example:
A computer software retailer used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $25.
The markup is 40% of the $25 cost, so the markup is:
(0.40)(25) = 10
Then the selling price, being the cost plus markup, is:
25 + 10 = 35
The item sold for $35.
Answer:
copy the first fraction, turn the division sign to a multiplication sign and flip the second fraction
Step-by-step explanation:
ex: 2/5 divided by 1/4
turn it to- 2/5 x 4/1
The equation of this parabola will have the form f(x) = a(x+5)(x-4), which works out to f(x) = a(x^2 + x - 20). Since the parabola passes thru (3,40),
40 = a(3^2 + 3 - 20), or 40 = a(-8), so a = -5.
Thus, the equation of this parabola is y = -5(x^2 + x - 20).
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
(y+4)(3y−5)=0
Step 1: Simplify both sides of the equation.
3y2+7y−20=0
Step 2: Factor left side of equation.
(3y−5)(y+4)=0
Step 3: Set factors equal to 0.
3y−5=0 or y+4=0
y=5
/3
or y=−4
