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AVprozaik
10 days ago
13

Which of the following statements defines a​ function? Choose the correct answer below. A. A function is a set of ordered pairs

in which none of the first components in the ordered pairs are negative. B. A function is a set of ordered pairs where all the first components in the ordered pairs have the same value. C. A function is a set of ordered pairs in which each second component in the ordered pairs corresponds to exactly one first component. D. A function is a set of ordered pairs in which each first component in the ordered pairs corresponds to exactly one second component.
Mathematics
2 answers:
zzz [4K]10 days ago
7 0

Answer: D. A function is defined as a collection of ordered pairs where each first component corresponds to exactly one second component in the pairs.

Step-by-step explanation: In mathematics, a Function refers to a relationship between two sets, in which every element from the first set matches with elements from the second set just once. This relationship demonstrates how one quantity relies on another, like how distance is related to time traveled.

<pA function signifies a process where each element (x) from set X is associated with one unique element in set Y or f(x). The set X represents the domain while set Y or f(x) constitutes the codomain.

Each value of x acts as the function's input or variable and each corresponding y represents the function's value or image of x by f.

babunello [3.6K]10 days ago
6 0

Answer:

Step-by-step explanation:

The correct choice is D. For any value x within the domain of your function, it is crucial that there is ONLY ONE corresponding value of y. If you encounter more than one y linked to a single x, that relationship does not qualify as a function.

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There is a safety fence around a circular pool with a gate. The gate is 150 cm wide. What is the length of the fence not includi
zzz [4022]

Response:

The fence's length is expressed as 6.28x - 150 cm.

Detailed Breakdown:

Assuming the circular pool has a radius (r) of x cm.

As the pool is circular, its circumference represents the length of the fence. Additionally, subtracting the 150 cm for the gate gives us the actual length of the fence.

Length of fence = Circumference of pool – gate's width.

Length of fence = 2 π r – 150

Length of fence = 2 × 3.14 × x – 150

Therefore, the fence length is 6.28x – 150 cm.

4 0
17 days ago
pat made a total of 48 pottery plates and cups if she made twice as many plates as cups how many plates did she make?
tester [3916]
48 divided by 3 equals 16 (cups)
Adding 16 and 16 gives 32 (which is double the number of cups)
Thus, the number of plates is 16.
5 0
14 days ago
A certain food has a gluten ratio of 13\,\text{mg}13mg13, start text, m, g, end text of gluten per \text{L}Lstart text, L, end t
tester [3916]

Answer:

The gluten content expressed in micrograms per milliliter is 13 µg/mL.

Step-by-step explanation:

Take into account the details given.

The gluten content of the product is specified as 13 \frac{mg}{L}.

We now need to convert the gluten content to micrograms per milliliter.

For conversion from mg to micrograms, refer to the following facts:

1 mg equals 1000 micrograms.

1 L corresponds to 1000 milliliters.

Next, replace 1 mg = 1000 micrograms and 1 L = 1000 milliliters into the ratio provided above.

13( \frac{1000 \ micro-grams}{1000 \ milliliter} )= 13( \frac{micro-grams}{milliliter})

Consequently, the gluten ratio in micrograms per milliliter is 13 µg/mL.

5 0
12 days ago
Read 2 more answers
The value of y at x=-1in the equation 5y=2 is
Zina [3914]

Answer: y = 2/5 --> y = 0.4

Step-by-step explanation:

The equation 5y = 2 represents a horizontal line at y = 2/5.

This means that the y-coordinate holds the value of 2/5 = 0.4 for any x-coordinate.

7 0
17 days ago
Value of sec Square 26 degrees - cot square 64 degrees is
Leona [4166]

Answer:

The value equals 1

Step-by-step explanation:

Consider the expression

sec^{2}(26\°)-cot^2(64\°)

Recall that

cot^2(64\°)=\frac{cos^2(64\°)}{sin^2(64\°)}

sec^{2}(26\°)=\frac{1}{cos^2(26\°)}

For two complementary angles A and B (where A+B=90°),

the identity is

cos(A) = sin(B)

Here, 26° and 64° are complementary angles, so

\frac{1}{cos^2(26\°)}=\frac{1}{sin^2(64\°)}

Substituting values,

\frac{1}{sin^2(64\°)}-\frac{cos^2(64\°)}{sin^2(64\°)}

\frac{1-cos^2(64\°)}{sin^2(64\°)}

From this, we find

1-cos^2(64\°)=sin^2(64\°)

By substitution,

\frac{sin^2(64\°)}{sin^2(64\°)}=1

4 0
15 days ago
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