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Sliva [168]
3 years ago
6

Is the relation a function? y = x2 + 12x + 31

Mathematics
2 answers:
Leokris [45]3 years ago
7 0
Yes. When graphed each input will only have one output. 
densk [106]3 years ago
5 0

Answer: Yes , y = x^2 + 12x + 31 is a function.

Step-by-step explanation:

  • A relation is said to be a function if each input value (or x-value) corresponds to one unique output value (y-value).

The given relation : y = x^2 + 12x + 31

where , x^2 + 12x + 31 and it a polynomial function .

Also, when we draw the graph of the given function  [see the attachment ], we can see that each value of x corresponds to exactly one unique y-value.

It means it follows the definition of a function.

Thus , the answer is : Yes , y = x^2 + 12x + 31 is a function.

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The town of Madison has a population of 25000 The population is increasing by a factor of 1.12 each year.
Fudgin [204]

Answer:

P(t) = 25,000*1.12^t

Step-by-step explanation:

The populational growth is exponential with a factor of 1.12 each year. An exponential function has the following general equation:

y(x) = ab^x

Where 'a' is the initial population (25,000 people), 'b' is the growth factor (1.12 per year), 'x' is the time elapsed, in years, and 'y(x)' is the population after 'x' years.

Therefore, the function P(t) that models the population in Madison t years from now is:

P(t) = 25,000*1.12^t

8 0
3 years ago
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Find the sum of the first n terms.
Sunny_sXe [5.5K]
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3 years ago
Please answer this correctly as soon as possible as it’s due today
Andrews [41]

Answer:

.79 mm^2

Step-by-step explanation:

First find the area of the circle

A = pi r^2

A = 3.14 (1) ^2

A = 3.14

Now we have 1/4 of the circle

The area is 1/4 of the full area

1/4 *3.14

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Rounding to the nearest hundredth

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7 0
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.What is the value of the expression below when x=9? Enter the answer as NUMBER only?<br> 1/3 x^2+4
belka [17]

Step-by-step explanation:

<u>1</u><u> </u>*9^2 + 4

3

<u>1</u><u> </u>* 81 + 4

3

<u>1</u><u> </u>* 85

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<u>85</u>

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5 0
3 years ago
The function f(x) is defined as follows:
Leno4ka [110]

Answer:

f(-3)=-8\\f(2)=4

Step-by-step explanation:

In order to find the values of a piecewise function, we first have to determine which piece we are using.

For f(-3), x=-3. This means that we need to use 3x+1 as -3\leq 0

f(-3)=3(-3)+1\\\\f(-3)=-9+1\\\\f(-3)=-8

For f(2), x=2. This means that we need to use f(x)=4 as x is equal to 2.

f(x)=4

6 0
3 years ago
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