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Grace [21]
2 years ago
12

What is the minimum value for the function shown in the graph? Enter your answer in the box. A sinusoid function graphed on a co

ordinate plane. The horizontal x-axis ranges from negative 3 pi to 3 pi in increments of pi over 2. The vertical y-axis ranges from negative 7 to 1 in increments of 0.5. The function begins at begin ordered pair negative 3 pi comma negative 5.5 end ordered pair and increases in increments of pi over 2 until reaching begin ordered pair 3 pi comma negative 5.5 end ordered pair. The function begins at begin ordered pair negative 3 pi comma negative 5.5 end ordered pair and decreases to a minimum value of begin ordered pair negative 5 pi over 2 comma negative 6 end ordered pair. The graph then increases to a maximum value of begin ordered pair negative 3 pi over 2 comma negative 5 end ordered pair and decreases to a minimum value of begin ordered pair negative pi over 2 comma negative 6 end ordered pair. The graph then increases to a maximum value of begin ordered pair pi over 2 comma negative 5 end ordered pair and decreases to a minimum value of begin ordered pair 3 pi over 2 comma negative 6 end ordered pair. The graph then increases to a maximum value of begin ordered pair 5 pi over 2 comma negative 5 end ordered pair and decreases to a minimum value of begin ordered pair 3 pi comma negative 6 end ordered pair.
Mathematics
1 answer:
DIA [1.3K]2 years ago
8 0

The sinusoidal function graph has a period of 2·π and a minimum point

with coordinates (-0.5·n·π, -6) where n = -5, -1, 3, ...

Response:

  • The minimum value of the function is -6

<h3>How to find the minimum value of a function?</h3>

The minimum value of a function is the lowest vertex value of the

function.

The given graph description, is the graph of the following function;

f(t) = 0.5·sin(t) - 5.5

The minimum value is given at the location where, sin(t) = -1, which gives;

f(t) = 0.5 × (-1) - 5.5 = -6

The minimum value of the function is therefore;

  • f(t) =<u> -6</u>

Learn more about the graphs of functions here:

brainly.com/question/26254100

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Find the center, vertices, and foci for the ellipse 25x^2+64y^2=1600
Ronch [10]

Answer:

Step-by-step explanation:

Answer:

Data

Equation               25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

                            25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

                             x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

                            

3.- Find a, b and c

   a² = 64             a = 8

   b² = 25             b = 5

-Calculate c with the Pythagorean theorem

                  a² = b² + c²

-Solve for c

                  c² = a² - b²

-Substitution

                  c² = 8² - 5²

-Simplification

                 c² = 64 - 25

                 c² = 39

-Result

                 c = √13

4.- Find the center

         C = (0, 0)

5.- Find the vertices

         V1 = (-8, 0)     V2 = (8, 0)

6.- Find the foci

         F1 = (-√13, 0)   F2 = (√13, 0)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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<u>Northbound boat rate</u> = 40 + 18 = 58 mph

Two boats rate = 40 + 58 = 98 mph (this means they are apart 98 km after one hour)

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Time =980:98=10 hours

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What are the factors of the mathematical expression 24p-27p²​
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Answer:

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