Answer choice A.
For example if you take 100 times 1/2 to the 3 which equals 12.5. 1/2 is also known as 0.5
Answer:
1. 4
2. 8
3. 12
Step-by-step explanation:
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.
A physical change is a type of change in which the form of matter is altered but one substance is not transformed into another. For example, crumbling up a piece of paper. It’s still a piece of paper and you uncrumble it and it is still paper.
Answer:
40+2s=60-3s
Step-by-step explanation:
The red balloon starts 40 feet off the ground and rises 2 feet per second. This means the height of the red ballon is 40+2s.
The blue balloon starts 60 feet off the ground at starts falling 3 feet per second. This means the height of the blue balloon is 60-3s.
Because we want to find out when the balloons will be the same height, we set them equal to each other.
40+2s=60-3s
