The difference in the given function is x^3 + 7x^2 - 3x - 14
<h3>Difference of functions</h3>
Given the following functions
f(x) = 5x^2 − 3x + 5
g(x) = 19 − x^3 − 2x^2
Determine the difference of the function
f(x) - g(x) =5x^2 − 3x + 5 - (19 − x^3 − 2x^2)
f(x) - g(x) = 5x^2 - 3x + 5 - 19 + x^3 + 2x^2
Collect the like terms
f(x) - g(x) = x^3 + 5x^2 + 2x^2 - 3x + 5 - 19
f(x) - g(x) = x^3 + 7x^2 - 3x - 14
Hence the difference in the given function is x^3 + 7x^2 - 3x - 14
Learn more on polynomial difference here: brainly.com/question/2516456
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Answer: 10 t -0.5 t is the total cost of the ticket for the group of 10 people after getting discount.
Where 10 t is the initial cost of ticket without discount and 0.5 t is the total discount.
Step-by-step explanation:
Here, t represents the cost of one ticket.
Therefore, For 10 person the cost of the ticket = 10 t
And, According to the question, there is a discount of 5% percent per ticket if a group buys 10 tickets.
Thus, the discount for the group of ten people = 5% of 10 t = 0.5 t
The the total cost for the group of ten people after getting the discount = 10 t - 0.5 t
If it didn't have that piece cut out on the bottom, it would be a rectangle that's 9cm wide and 5cm high. Its area would be 9x5= 45 cm².
But that piece is cut out of the bottom. The cut-out piece is 3cm wide and 3cm high, so its area is 3x3= 9 cm².
9 cm² have been cut out of the 45 cm² of the complete big rectangle. So the remaining area of the figure is 45 - 9 =<em> 36 cm²</em> .
SOLUTION
Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.
Step 1: Write the representation for the two rentals
Let m represents movies
Let v represent video games
Step 2: Write the statements in form of a mathematical equation
Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v
Rental cost for each movies is $3.25
Rental cost for each video games $5.50
