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2 years ago

The inverse of f(x)=2x-10

Mathematics

1 answer:

ArbitrLikvidat [17]2 years ago

7 0

The inverse of the function f(x) = 2x - 10 is f-1(x) would be x/2 + 5.

Lets try to solve it,

We will be using the inverse function to solve this.

f(x) = $2x - 10$

Replace f(x) with y.

$y = 2x - 10$

Interchange x and y

$x = 2y - 10$

Solve for y

$y = (x + 10) / 2$

Replace y with f-1(x).

$f-1(x) = x/2 + 5$

Thus, the inverse of the function f(x) = 2x - 10 is f-1(x) = x/2 + 5

Learn more about inverse function on:

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Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number o

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Answer:

Step-by-step explanation:

Step1:

We have Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α =8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t

Step2:

Let “X” the number of small aircraft that arrive during time t and it follows poisson distribution parameter “”

The probability mass function of poisson distribution is given by

P(X) = , x = 0,1,2,3,...,n.

Where, μ(mean of the poisson distribution)

a).

Given that time period t = 1hr.

Then,μ = 8t

= 8(1)

= 8

Now,

The probability that exactly 6 small aircraft arrive during a 1-hour period is given by

P(exactly 6 small aircraft arrive during a 1-hour period) = P(X = 6)

Consider,

P(X = 6) =

= 0.1219.

Therefore,The probability that exactly 6 small aircraft arrive during a 1-hour period is 0.1219.

1).P(At least 6) = P(X 6)

Consider,

P(X 6) = 1 - P(X5)

= 1 - {+++++}

= 1 - (){+++++}

= 1 - (0.000335){+++++}

= 1 - (0.000335){1+8+32+85.34+170.67+273.07}

= 1 - (0.000335){570.08}

= 1 - 0.1909

= 0.8090.

Therefore, the probability that at least 6 small aircraft arrive during a 1-hour period is 0.8090.

2).P(At least 10) = P(X 10)

Consider,

P(X 10) = 1 - P(X9)

= 1 - {+++++

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3 years ago

What is the measurement of 2 and 11

vagabundo [1.1K]

<2=40° <11=60°

Because <1 was 140°, 2 is 40°. 40°+80°=120°

180°-120°=60°

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Answer:

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The equation of the parabola that similar to f(x) = $7x^2$ but the vertex is (3, 5) in the standard form is y = $7(x-3)^2$ + 5

The equation of the parabola

f(x) = $7x^2$

The standard vertex form of a parabola is

y = $a(x-h)^2$ + k

The coordinates of the vertex of a parabola = (3, 5)

Where (h, k) is the coordinates

From the given function of the parabola f(x) = $7x^2$

The value of a = 7

Substitute the values in the vertex form of a parabola

y = $7(x-3)^2$ + 5

Hence, the equation of the parabola that is similar to f(x) = $7x^2$ but the vertex is (3, 5) in the standard form is y = $7(x-3)^2$ + 5

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1 year ago