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.
Answer:
77 approx
Step-by-step explanation:
Given data
Number of customers talked to per hour= 8
Hence for 8 hours(a day) the number of customers talked to = 8*8= 64
We want to first find 20% of 64
=20/100*64
=0.2*64
=12.8
Hence the number of customers will be
=12.8+64
=76.8
=77 approx
Answer:
Step-by-step explanation:
Area of a rectangle is given as length times breadth. Mathematically,
A = l * b
If the length is halved and the breadth is constant, then we have
A = l/2 * b
A = lb/2
From the above, the area of a rectangle is lb, while the area of the hypothetical rectangle will be lb/2
This means that, if the length is halved, and the width is constant, then the area of the rectangle reduces by half.
.90 (ninety cents)
basically what you is you multiply the value of the sweater by the percentage of the tax
The correct answer is:
[C]: "
(-3, -7)" .
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Note the following points —
"Point P" : (3, -7) ;
<u><em>and </em></u>
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"Point Q" : (-3, -7) ;
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on the following graph (see the following "attached image"):
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