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kodGreya [7K]
3 years ago
7

Lunch A survey showed that 30% of students bring their lunch to school. The survey polled 300 students. How many of the 300 stud

ents do not bring their lunch to school?
Mathematics
1 answer:
Nana76 [90]3 years ago
5 0
Turn 30% into a decimal and then multiply it by 300.

300 x .3 = 90
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If f(x) =69-15x then f(f^-1(x))
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If f(x)=69-15x  then f(f^{-1}(x))=x

Given :

f(x)=69-15x\\

Lets find out f^{-1}(x). The steps to find out f inverse are

Replace f(x) by y

y=69-15x\\Interchange \; the \; variables\\x=69-15y\\solve \; for \; y\\x-69=-15y\\Divide \; by \; -15\\\frac{-x+69}{15} =y\\Replace \;y \;with \; f^{-1}\\f^{-1}=\frac{-x+69}{15}

Now we find f(f^{-1}(x))

Replace inverse function in the place of x in f(x)

f(f^{-1}(x))=f(\frac{-x+69}{15} )=69-15(\frac{-x+69}{15})=69-(-x+69)=69+x-69=x\\f(f^{-1}(x))=x

Learn more :

brainly.com/question/11242094

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2 years ago
Someone help and please make sure it’s right
VMariaS [17]

Answer:

x=10

Step-by-step explanation:

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3 years ago
A weight attached to a spring is at its lowest point, 9 inches below equilibrium, at time t = 0 seconds. when the weight it rele
zhannawk [14.2K]

The equation which models the distance (d) of the weight from its equilibrium after time (t) is equal to d = -9cos(2π/3)t.

<h3>What is the period of a cosine function?</h3>

The period of a cosine function simply means the total length (distance) of the interval of values on the x-axis over which a graph lies and it's repeated.

Since the weight attached is at its lowest point at time (t = 0), therefore, the amplitude of equation will be negative nine (-9)

For the angular velocity at time period (t = 3s), we have:

ω = 2π/T

ω = 2π/3

Mathematically, the standard equation of a cosine function is given by:

y = Acos(ω)t

Substituting the given parameters into the formula, we have;

d = -9cos(2π/3)t.

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