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rosijanka [135]
3 years ago
8

For what value of c is the relation a function?

Mathematics
1 answer:
nydimaria [60]3 years ago
7 0

Answer:

{ c  ∣  c ≠  2 , 12, -1, 0, c ∈ R }

Step-by-step explanation:

Considering the set

\left\{\left(2,\:8\right),\left(12,\:3\right),\:\left(c,\:4\right),\:\left(-1,\:8\right),\:\left(0,\:3\right)\right\}

As we know that

  • A function is said to be a relation if every x-value has one and only one y-value.

So, the value of c must not be equal to 2, 12, -1, 0 i.e. c ≠ 2, 12, -1, 0

Therefore,

                   { c  ∣  c ≠  2 , 12, -1, 0, c ∈ R }

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The given table and equation represent the cost for carnival rides.
lozanna [386]

Answer:

The ordered pairs that are presented are (7, 99.5) and (3, 51.5)

Step-by-step explanation:

We are given the cost function of the carnival rides as

c=15.5+12f

which is a typical linear expression of the form y=ax+b where here y=c, f=x,  a=12  and  b=15.5. To check if an ordered pair i.e. a point (x,y) , is represented by the table we can simply plug in the equivalent x value in the equation, and check if the result matches the y value.

So, lets assume that all points are given correctly and they are as follow:

A. (7, 99.5)\\B. (75.5, 5)\\C. (3, 51.5)\\D. (123.5, 9)

Now let us check each point with our function as follow:

<u>Point A</u>

(7,99.5)\\\\c=15.5+12(7)\\c=15.5+84\\c=99.5

So point A is part of the equation.

<u>Point B</u>

(75.5,5)\\c=15.5+12(75.5)\\c=15.5+906\\c=921.5

So point B is NOT part of the equation.

<u>Point C</u>

<u />(3,51.5)\\c=15.5+12(3)\\c=15.5+36\\c=51.5<u />

So point C is part of the equation.

<u>Point D</u>

<u />(123.5,9)\\c=15.5+12(123.5)\\c=15.5+1482\\c=1497.5<u />

So point D is NOT part of the equation.

8 0
4 years ago
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In boot camp, a cadet must use a rope swing to cross an obstacle without
slega [8]

Answer:

5.0 meters

Step-by-step explanation:

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3 years ago
Combining like terms with negative coefficients<br> 2x-4xy+5x-2xy-4x-4y?
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67885 truing 6788 yea that ab it
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Rock musician Donny West is paid 15% on his CD sales and tour video sales. Last year, he sold one million CDs and 550,000 videos
olganol [36]
He had $5,000,000 in CD sales; $3,300,000 in video sales; and he earned $1,245,000 in royalties.

1,000,000 CDs * $5 each = $5,000,000
550,000 videos * $6 each = $3,300,000

Total sales = 5,000,000+3,300,000 = 8,300,000
15% royalties = 0.15(8,300,000) = 1,245,000
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4 years ago
Based on the graph, which statement BEST describes what is happening to the temperature over time?( picture 1 )
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1. A.
None of the other answers, looking at the graph, make sense.

2. B.
Used distance formula.
sqrt[(0+8)^2 + (6-0)^2]
sqrt[8^2 + 6^2]
sqrt[64 + 36]
sqrt[100]
10

3. A.
Domain = x
(1,0) , (3,0) , (5,0) , (7,0)
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