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DerKrebs [107]
3 years ago
13

Which equations represent functions?

Mathematics
1 answer:
never [62]3 years ago
4 0

Answer:

2x + 3y = 10,  3y = 18  (in both cases, for each input x, there is exactly one output y.

Step-by-step explanation:

3y = 10 - 2x, or y = (1/3)(10 - 2x)   Yes, this is a function.

4x = 16 → x = 4        NOT a Function, because for x = 4 there are an infinite number of possible y -values

2x - 3 = 14 →  2x = 17  →  x = 17/2  Not a function.  See reason given above.

3y = 18 →  y = 6   Function

2x = 14.6   →  x = 7.3  Not a function.  See reason given above

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Daniel deposits $300 into an account that earns 16% interest annually. Which equation can be used to model his account balance,
MAVERICK [17]

Answer:

y=300(1+0.16)^x

Step-by-step explanation:

<h2>This account  can be  modeled using the compound interest formula.</h2><h2>the compound interest formula is expressed as</h2>

 A= P(1+r )^t

Where

A =final amount  = y

P=initial principal balance = $300

r=interest rate  = 16%= 0.16

t=number of time periods elapsed= x

Hence the equation to model his account balance/ final amount A (y) after time (x) years is

y=300(1+0.16)^x

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4 0
2 years ago
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7 0
3 years ago
Given the ABC DEF find the value of x and y
Artemon [7]

Answer: x = 7.2, y = 7.5

<u>Step-by-step explanation:</u>

Similar triangles have the same proportions.

Since ABC ≅  DEF, then \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}

<u>Let's solve for x:</u>

   \dfrac{BC}{EF}=\dfrac{AC}{DF}

⇒ \dfrac{5}{4}=\dfrac{9}{x}

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⇒ x = \dfrac{4(9)}{5}

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<u>Let's solve for y:</u>

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3 0
2 years ago
Read 2 more answers
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