Resources

Resources

Write equations of sine functions using properties

r

each of the following.

\newline

lakh ten thousand two hundred forty-nine

\newline

akh eighty-seven

\newline

72,356,708

27,57,002

\newline

5,35,23,981

34,49,28,876

\newline

tween the place values of two

7 \mathrm{~s}

78,65,49,756

\newline

numbers in ascending as well as descending order:

\newline

9 ; 3,27,896 ; 5,64,585

45,87,692

33

A bicyclist travels

6 \frac{1}{2}

\frac{2}{3}

hour. What is the average speed, in miles per hour, of the bicyclist?

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6 \frac{1}{2}

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6 \frac{5}{6}

\newline

\quad 7 \frac{1}{6}

\newline

\quad 9 \frac{3}{4}

The teacher is handing out note cards to her students. She gave

58

note cards to the first student,

41

note cards to the second student,

24

note cards to the third student, and

7

note cards to the fourth student. What kind of sequence is this?

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\begin{tabular}{lll}

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D

& The time of year,

x

& Hours of daylight,

D(x)

\newline

E

& Hours of daylight,

k

& Amount of solar energy gained over the day,

E(k)

\newline

G

& Amount of solar energy,

r

& Hours of video games Rafael can play,

G(r)

\newline

\newline

2

of the following composed functions make sense in this context?

\newline

2

\newline

G(E(k))

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x

0

\newline

x

1

\newline

x

2

Find an equation for a sinusoidal function that has period

2\pi

1

, and contains the point

\left(-\frac{\pi}{2},-1\right)

. Write your answer in the form

f(x) = A\sin(Bx + C) + D

A

B

C

D

are real numbers. `f(x)` =______