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Alex Ar [27]
3 years ago
8

i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money

that i have. (Hint: one is the other simplified)
Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0

Answer:

We know that the total number of coins is 17.

N of the coins are nickels, and the rest of the coins are dimes.

Then the number of dimes is given by the difference between the total number of coins and the number of nickels, thus, there are:

17 - N dimes.

Each nickel has a value of $0.05

each dime has a value of $0.10

Then if you have N nickels and (17 - N) dimes, the total amount of money that you have is:

$0.05*N + (17 - N)*$0.10

This is the first expression, the second one comes if we simplify this.

First, we expand the second term:

$0.05*N + 17*$0.10 - N*$0.10

Now we can take the common factor N to get:

N*($0.05 - $0.10) + $1.70 = $1.70 - $0.05*N

$1.70 - $0.05*N is the simplified expression.

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Answer:

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Step-by-step explanation:

The standard form of a quadratic equation is

ax^2 + bx + c = 0

We need to use the quadratic formula and the given expression to find the values of a, b, and c.

The quadratic formula is

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Where the formula has -b, the problem has -2, so b = 2.

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ax^2 + 2x + c = 0

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Now we have

x^2 + 2x + c = 0

Inside the root, the quadratic formula has -4ac. the problem shows -4(1)(-4). Since we already know that a = 1, then c = -4.

Now we have

x^2 + 2x - 4 = 0

Let's look at choice A.

x^2 + 1 = 2x - 3

Subtract 2x from both sides. Add 3 to both sides.

x^2 - 2x + 4 = 0   <em>This is not it!</em>

Let's look at choice B.

x^2 - 2x - 1 = 3

Subtract 3 from both sides.

x^2 - 2x - 4 = 0     <em>This is not it!</em>

Let's look at choice C.

x^2 + 2x - 1 = 3

Subtract 3 from both sides.

x^2 + 2x - 4 = 0     <em>This is it!</em>

Answer: C. x^2 + 2x - 1 = 3

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24c³ = 2 × 2 × 2 × 3 × c × c × c

Now we show the common factors in bold:

18c³ = 2 × 3 × 3 × c × c × c

24c³ = 2 × 2 × 2 × 3 × c × c × c

The common factor are:

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Step-by-step explanation:

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Answer:

I see this

"Which relation is a function?

A {(-3,4),(-3,8),(6,8)}

B {(6,4),(-3,8),(6,8)}

C {(-3,4),(3,-8),(3,8)}

D {(-3,4),(3,5),(-3,8)}"

So the answer is none of these.

Please make sure you have the correct problem.

Step-by-step explanation:

A set of points is a function if you have all your x's are different.  That is, all the x's must be distinct. There can be no value of x that appears more than once.

If you look at choice A, this is not a function because the first two points share the same x, which is -3.

Choice B is not a function because the first and last point share the same x, which is 6.

Choice C is not a function because the last two points share the same x, which is 3.

Choice D is not a function because the first and last choice share the same x, which is -3.

None of your choices show a function.

If you don't have that choice you might want to verify you written the problem correctly.

This is what I see:

"Which relation is a function?

A {(-3,4),(-3,8),(6,8)}

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