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sashaice
1 month ago
12

Which function has an inverse that is also a function?

Mathematics
2 answers:
Inessa [12.5K]1 month ago
5 0

Response:

A) {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

In-depth explanation:

PIT_PIT [12.4K]1 month ago
3 0

Response:

A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

Detailed explanation:

Having just taken the quiz, it's worth noting that you can interchange the coordinates to observe those of the inverse function. Instances of identical x values indicate that it fails the line test, thus disqualifying it as a function with an inverse.

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In a school of 2100 students, the ratio of teachers to students is 1:14. Some teachers join the school and the ratio changes to
zzz [12365]

Answer:

50 Educators

Step-by-step explanation:

To tackle this question, the initial step is to calculate the amount of teachers prior to the addition of new staff. For this, I devised Model 1. In this model, teachers are positioned at the top of the ratio and students at the bottom. The variable X represents the number of teachers we are determining. Utilizing this model, I computed 2,100 multiplied by 1 (2,100) and then divided by 14 to conclude there were 150 teachers. Next, I formed a similar model with the updated student-teacher ratio (Model 2). This time, I multiplied 2,100 by 2 (which is 4,200) and divided by 21 to ascertain there are 200 teachers. Having established both the initial and the increased counts of educators, subtracting the original from the new gives you the tally of new teachers, which results in an increase of 50 teachers.

6 0
1 month ago
In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
zzz [12365]

Answer:

∠ R > 90°

\angle s + \angle T < \angle 90

\angle R > \angle T

\angle R > \angle S    

Explicación paso a paso:

Dado que en el triángulo RST

\angle R> (\angle s +\angle T)

Ahora, según la condición, un ángulo es mayor que la suma de los otros dos ángulos.

En un triángulo, la suma de los tres ángulos es 180°

Por lo tanto, si un ángulo mide  90°, la suma de los otros dos debe ser igual a 90°

Y si uno de los ángulos es de 90°, solo los otros dos pueden ser de 45° cada uno.

Aquí suponiendo que el ángulo s = ángulo T = 30°, entonces con esta condición el ángulo r sería de 120°, que es mayor que 90°.

De lo anterior, se concluye que

Para, \angle R> (\angle s +\angle T)

∵ ∠ R = 120°, por lo tanto es mayor que 90°.

Es decir, ∠ R > 90°

\angle s + \angle T < \angle 90

\angle R > \angle T

\angle R > \angle S   Respuesta

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1 month ago
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Aubrey's dinner totaled $85. For excellent service, she tips the waitstaff 30%. The tip amount is $25.5. To calculate the tip, we start with the total cost of the dinner, which is $85, and apply the 30% tip rate. So, 30% of $85 is calculated as: Tip = 30% of 85. This results in Aubrey tipping the waitstaff $25.5.
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1 month ago
The line segments of a cube include edges, the diagonals of the faces, and the diagonals through the interior of the cube. Which
lawyer [12517]
The diagonal that crosses the interior of the cube is the longest segment. The hypotenuse corresponds to the longest side in a right triangle. In this case, the cube's diagonal serves as the hypotenuse of a right triangle, with the legs being the diagonal of one of its faces and one of its edges. The edges are the shortest sections and function as the legs of a right triangle where the face's diagonal acts as the hypotenuse.
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23 days ago
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Subtract 25.45 from 51.82. Give your answer to 2 decimal places.
PIT_PIT [12445]

Answer:

The result is 26.4

Step-by-step explanation:

By taking 51.82 and subtracting 26.37, you arrive at 26.45, and when rounding this value to one decimal place, it becomes 26.4.

4 0
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