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fiasKO [112]
3 years ago
10

Which of the following represents a function?

Mathematics
2 answers:
steposvetlana [31]3 years ago
7 0

Answer:

a

Step-by-step explanation:

bc its the only one that makes sence to me heheh

olchik [2.2K]3 years ago
4 0

Answer: Option D

Step-by-step explanation:

A relationship is a function if and only if for each input value x (domain) only one output value y is assigned (Range)

Option A.

Note that x represents the input values and y represents the output values.

When x = 3 then y = 14 and y = 19.

The input value x = 3 has two output values  y assigned.

<u>So the relationship is not a function</u>

<u />

Option B.

Note that x represents the input values and y represents the output values.

When x = 3 then y = 0 and y = -5.

The input value x = 3 has two output values y assigned.

<u>So the relationship is not a function</u>

<u />

Option C

Note that x represents the input values and y represents the output values.

When x = -1 then y = -11 and y = 5.

(-1,-11) , (-1, 5)

The input value x = -1 has two output values y assigned.

<u>So the relationship is not a function</u>

<u />

Option D

Note that x represents the input values and y represents the output values  and for each input value x (domain) only one output value y is assigned (Range)

\{(-5, 3), (-3, 1), (-1, -1), (1, -1), (3, 1), (5, 3)\}

<u>So the relationship is a function</u>

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A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish
nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

a = 150 --- initial

r = 8\% -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

y = ab^x

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

b = 1 - r

So, we have:

b = 1 - 8\%

Express as decimal

b = 1 - 0.08

b = 0.92

In y = ab^x

a =150

y = 30

b = 0.92

So, we have:

30 = 150 * 0.92^x

Divide both sides by 150

0.2 = 0.92^x

Take log of both sides

log(0.2) = log(0.92^x)

Apply law of logarithm

log(0.2) = x\ log(0.92)

Make x the subject

x = \frac{log(0.2)}{log(0.92)}

x = \frac{-0.6990}{-0.0362}

x = 19.309

x \approx 19

<em>Hence, it takes approximately 19 days</em>

3 0
3 years ago
26. Use the diagram given below to answer the questions that follow. Diameter = 18cm (Use r = 3.14) a. Find the area of the circ
UkoKoshka [18]

Answer:

a. 254.34, b. 56.52

Step-by-step explanation:

a. A = πr^2,

A = 3.14(9^2)

A = 3.14*81

A = 254.34

b. C = πd

C = 18*3.14

C = 56.52

3 0
3 years ago
Is 4/6 = 9/12 not proportionate
andre [41]

\text{If}\ \dfrac{a}{b}=\dfrac{c}{d}\ \text{is proportional, then}\ ad=bc.\\\\\text{We have}\ \dfrac{4}{6}=\dfrac{9}{12}.\ \text{Cross multiply}\\\\(4)(12)=(6)(9)\\\\48=54\ FALSE\\\\Answer:\ NOT\ PROPORTIONAL

4 0
3 years ago
Solve the equation Square root of x minus 5+ 7 = 11 for the variable. Show each step of your solution process. (10 points)
Murrr4er [49]

\sqrt{x - 5} + 7 = 11

(\sqrt{x-5}) ^{2} = (4)^{2}

|x - 5| = 16

x - 5 = +/- 16

x - 5 = 16     or     x - 5 = -16

<u>   +5</u>   <u>+5   </u>           <u>   +5 </u>    <u>+5  </u>

    x = 21       or        x = -11

Answer: x = {21, -11}

5 0
3 years ago
Find y in terms with x <br>Help me pleaseee thank uu:)​
cestrela7 [59]

Answer:

y = 90 -5/2 x

Step-by-step explanation:

The angle on the left equals x+3x+x = 5x

The angle on the right equals 2y

The two angles are same side interior angles which are supplementary because the lines are parallel

5x+2y = 180

Solving for y

2y = 180-5x

Divide by 2

2y/2 = 180/2 -5x/2

y = 90 -5/2 x

4 0
2 years ago
Read 2 more answers
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