Part A
Use the FOIL rule to expand out the expression below
(2x+7)(5x+9)
2x*5x + 2x*9 + 7*5x + 7*9
10x^2 + 18x + 35x + 63
10x^2 + 53x + 63 is the final answer for part A
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Part B
The degree is 2. This is a quadratic trinomial.
The degree is simply the largest exponent after expanding everything out. The degree directly determines the type of polynomial. Since the degree is 2, we have a quadratic. The polynomial is a trinomial because it has 3 terms.
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Part C
Imagine we had a machine in which we deposit 2 coins into it. One would happen on either side. After the coins are deposited, a third coin pops out. The 2 coins going in and the third coin coming out are the same currency. This represents an example of closure.
In mathematics, the idea of closure is taking any two objects of the same type, applying an operation on them, and getting the same type of object as the input.
For example, we could take two whole numbers and multiply them together. The result is always a whole number. The set of whole numbers is closed under multiplication because you can't leave the set (hence the gate is closed not letting anything out).
Similarly, taking any two polynomials and multiplying them together will always lead to some other polynomial. Part A shows this in action because (2x+7), (5x+9) and 10x^2 + 53x + 63 are all polynomials.
Let x be marked up price. We have been given that a chemistry set costing $27.50, marked up 32% on cost.
Therefore, mark up price is $8.80.
Since we know that selling price of any item equals the sum of cost and mark-up price of the item.
Let us find selling price of our chemistry set.
Therefore, the selling price of the chemistry set is $ 36.30.
Answer:
Step-by-step explanation:
r = 4.1in and π = 22/7
Area oof circle = πr²
Area of circle = 22/7 × 4.1²
Area of circle = 3.14 × 16.81
Area of circle = 52.78in²
