The number of rows in a movie theater can be represented by the function f(x) = 12x.The number of seats in each row in the theater can be represented by the function g(x) = x + 9.

Which function represents the total number of seats, h(x) = f(x)g(x)?

h(x) = 12x + 108
h(x) = 12x2 + 108x
h(x) = 12x – 108
h(x) = 12x2 + 108

Answer:

TUW=VUW

Step-by-step explanation:

Answer:

Option 3: Angle TUV = angle VUW

Step-by-step explanation:

Answer:

  (–ꝏ, 0) U (0, 5)

Step-by-step explanation:

The relation can be written as ...

  x³ < 5x²

  x³ -5x² < 0

  x²(x -5) < 0

This is not true for x = 0. It is true for x < 5, otherwise. Then the solution set is ...

  x ∈ {(–ꝏ, 0) U (0, 5)}

The cube of any number from the set (-∞, 0) ∪ (0, 5) is less than five times the square of the number. So, the third option is correct.

Mathematically, a set is a collection of distinct, well-defined objects forming a group.

Let the number be x.

Then, according to the question:

x³ > 5x²

x³ - 5x² > 0

x²(x - 5) > 0

x² > 0 or x - 5 > 0

x > 0 or x > 5

This implies that

x ∈ (-∞, 0) ∪ (0, 5)

Hence, the correct answer is the third option, (-∞, 0) ∪ (0, 5).

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Answer:

8

Step-by-step explanation:

8

Answer:

60

Step-by-step explanation:

24 ÷ 4 is 6. In 8 days He would have 48. Add two 6's and you get the number 60.

Answer:

1

Step-by-step explanation:

To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.

Rotate ‘r’ anticlockwise to form a 90° or 450° angle with the positive x-axis.

The sin of 450 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.

Hence the value of sin 450° = y = 1

Answer:

To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.