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3 years ago

In two or more complete sentences describe how to determine if the function, f(x) = 3sin(x) is odd using algebra.

1 answer:

4 0

For odd functions f(-x) = -f(x).

Given that f(x) = 3sin(x)
f(-x) = 3sin(-x) = -3sinx = -f(x).

Therefore, f(x) = 3sin(x) is an odd function.

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Mrs Omar runs the school tennis club. She has a bin of tennis balls and rackets for every 5 tennis balls in the bin there are 5

Sav [38]

Answer:

x=y

Step-by-step explanation:

let x be the number of tennis balls and y the number of rackets.

-We divide the number of balls by the number of rackets to find out their ratio of proportionality:

$\frac{x}{y}=\frac{5}{5}=\frac{1}{1}=1$

-Hence, for each one ball there is one racket, so;

$x=y$

-This relationship is linear in nature, a direct variation, and can be graphed as attached below:

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2 years ago

Read 2 more answers

When she is outdoors, Tasha the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between he

Vlad [161]

Answer: the length of the arc from her dog house to the hydrant is 69 feet

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 24 feet

θ = 165 degrees

Therefore,

Length of the minor arc, DG = 165/360 × 2 × 3.14 × 24

Length of arc = 69 feet rounded up to the nearest feet.

3 0

2 years ago

Traveling at an average rateaverage rate of between 40 and 50 miles per hour for 4 to 7 hours select the best estimate for the d

zmey [24]

Answer:

Step-by-step explanation:

40 X 4 = 7 X50

160miles = 350miles

8 0

3 years ago

What is the answer to this?

GuDViN [60]

Answer:

$< 1 = 48$

Step-by-step explanation:

$< 1 + 132 = 180$

$< 1 = 180 - 132$

$< 1 = 48$

because it's a straight angle(180)

5 0

2 years ago

Use the substitution method to solve the system of equations. x+y=11 -x=-y-9

allochka39001 [22]

<h2>Answer:</h2>

Like you said, we need to use substitution to solve for y.

$x + y = 11\\-1(-x = -y - 9)\\\\x + y = 11\\x = y + 9\\\\y + 9 + y = 11\\\\2y + 9 = 11\\\\2y = 20\\\\y = 10$

Now that we've solved for y, we can plug in the number we got into one of the original equations. (You can choose either equation, but I will use the first one.)

$x + 10 = 11\\\\x = 1$

Now we have the solution of this system.

$(1, 10)$

4 0

2 years ago