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3 years ago

Let f(x) = 5x3 + 3x2 – 3 and g(x) = x2 + X - 5, fin 4) f(x) + g(x)

Mathematics

1 answer:

aleksley [76]3 years ago

6 0

Answer:

$f(x)+g(x)=5x^{3} +4x^{2}+x-8$

Step-by-step explanation:

Given:

Two functions are given:

$f(x)=5x^{3} +3x^{2} -3$

$g(x)=x^{2} +x-5$

Find $f(x)+g(x)$

Solution:

$f(x)+g(x)=(5x^{3} +3x^{2} -3)+(x^{2} +x-5)$

$f(x)+g(x)=5x^{3} +3x^{2} -3+x^{2} +x-5$

$f(x)+g(x)=5x^{3} +(3x^{2} +x^{2})+x-3-5$

$f(x)+g(x)=5x^{3} +4x^{2}+x-8$

Therefore, the function of $f(x)+g(x)=5x^{3} +4x^{2}+x-8$

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If sammmy has 5 alligators biting and each have 100 hunred teeth how many bite marks would he have?

posledela

Hello!

We are given that each of the 5 alligators has 100 teeth. We can use the following equation to find the total number of teeth and, by extension, the total number of bite marks:

(100 teeth) × (5 alligators) = 500 teeth

We have now proven that the 5 alligators have a combined total of 500 teeth. Consequently, Sammy will have 500 bite marks.

I hope this helps!

3 0

3 years ago

Can somebody help me i have to drag the functions on top onto the bottom ones to match their inverse functions.

stellarik [79]

Answer:

1. x/5

2. cubed root of 2x

3.x-10

4.(2x/3)-17

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

4 0

3 years ago

The solution of the equation 8x-4=12 is

Dimas [21]

X=2 because when you multiply 8 x 2=16 - 4=12
8(2)-4=12

8 0

3 years ago

Read 2 more answers

Keri has a spinner with sections labeled Black,

Schach [20]

Answer:

50%

Step by step explanation

100 divided by 4 is 25

Since it is both blue and black, it is doubled from 25 to 50

4 0

3 years ago