For the function f defined by f(x) = 2x^2 – 3x, evaluate: f(x+3)
Answer:
2x² + 9x + 9
Step-by-step explanation:
To evaluate f(x + 3) substitute x = x + 3 into f(x), that is
f(x + 3) = 2(x + 3)² - 3(x + 3) ← expand (x + 3)² using FOIL
= 2(x² + 6x + 9) - 3(x + 3) ← distribute both parenthesis
= 2x² + 12x + 18 - 3x - 9 ← collect like terms
= 2x² + 9x + 9
√144
O 12; rational number
O 12, irrational number
O 144; rational number
144; irrational number
O 72; rational number
72; irrational number
Answer:
The expression √144 simplifies to 12.
So, the answer is 12, which is a rational number
Step-by-step explanation:
because it can be expressed as a fraction of two integers (12/1).
Answer:
The new crew and the experience crew working together can paint the apartment in 4 hours.
Step-by-step explanation:
Given:
Time taken by new crew of painters to paint an apartment = 12 hours
Time taken by experience crew of painters to paint an apartment = 6 hours
To find the time taken by them to paint the apartment working together.
Solution:
Using unitary method to determine their 1 hour work.
In 12 hours the new crew can paint = 1 apartment
So,in 1 hours the new crew can paint = of the apartment
In 6 hours the experience crew can paint = 1 apartment
So,in 1 hour the experience crew can paint = of the apartment
Now, the new crew and the experience crew are working together.
So, in 1 hour, they can paint :
⇒
Taking LCD = 12, we will add fraction.
⇒
⇒
Simplifying fraction we have:
⇒ of an apartment
Again using unitary method to determine the time taken by them working together to paint the whole apartment.
They can paint of an apartment in 1 hour.
To paint 1 apartment they will take = hours
Thus, the new crew and the experience crew working together can paint the apartment in 4 hours.
60 skateboards were sold for maximum revenue.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Quantity Demanded is inversely related to price as Quantity Demanded increases then price decreases.
Initially,
Q = 50 when P =70
Q = 51 when P=69
Finally, Q=0 when P =120
Q=120 when P=0
Slope = -1
Use the point slope formula
y=mx + b
or Q=-P+b
50= -70+120
b=120
So, Q=-P+120 is the equation for the demand curve
now, Revenue
PQ = P(-P+120) = -P2 + 120P
R' = -2P + 120 and set it equal to zero and solve for P
-2P+120 = 0
2P=120
P = $60
That is the revenue maximizing price plug it into the demand curve equation
Q=-P+120
Q=-60+120
Q = 60
Thus, the number of skateboards sold that maximizes revenue is 60
and, the maximum revenue = 60x60
= $3,600 for a week
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Answer:
fds
Step-by-step explanation: