Answer:
n = nickels, q = quarters
Equation 1: n+q=30
Equation 2: 0.05n+0.25q = 3.30
Step-by-step explanation:
From equation 1, n = 30-q
Substitute in Equation 2:
0.05(30-q) + 0.25q = 3.30
1.5 - 0.05q + 0.25q = 3.30
0.2q = 1.8
q = 9
Substitute in new equation:
n = 30-9
n = 21
It is important to note a nickel is worth 5 cents and a quarter is 25 cents. This helps us build the equations.
Answers:
- A) Ray QS or Ray QR
- B) Line segment QS or SQ
- C) Plane QSR
- D) Line QS or RQ
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Explanation:
Part A)
When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.
The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.
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Part B)
A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).
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Part C)
When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.
So that's how we get the name "Plane QSR". The order of the letters doesn't matter.
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Part D)
To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.
- Line QR
- Line QS
- Line RQ
- Line RS
- Line SQ
- Line SR
Answer:
Your answer would be D, the equation is a function because it is a polynomial and all polynomials are functions.
Step-by-step explanation:
I like to remember that polynomials have no negative , fraction exponents and no division. In this case everything is positive so I knew it was a polynomial , and like the answer says all polynomials are functions !
Hope this helped
Answer:
A
Step-by-step explanation:
f(x) = 2x^2 – 3x + 1 is a function (its graph is a parabola that opens up), and it is one-to-one (Answer A). For each input, x, this function will return one output.
