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2 years ago

What are the solutions of the equation 4x2 + 3x = 24 – x?

Mathematics

2 answers:

goldenfox [79]2 years ago

6 0

Answer:

x=2 or x=-3

Step-by-step

hope this helps

DENIUS [597]2 years ago

3 0

Answer:

x = -3 or x = 2

Step-by-step explanation:

Re-arrange the terms into the standard quadratic equation form:

4x2 + 3x = 24 – x => 4x^2 + 4x - 24 = 0

Note that we can divide all four terms by 4, obtaining:

x^2 + x - 6 = 0 = (x + 3)(x - 2)

Then x = -3 or x = 2 are the desired solutions.

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your football team has a total of 50 jerseys. There are 15 medium-sized jerseys. What percent of the jerseys are medium-sized je

Anna71 [15]

30% of the jerseys are medium-sized jersey :)

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2 years ago

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The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me

Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

$\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286$

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is $P(X = 2)$ . So:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073$

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0

2 years ago

a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is

nekit [7.7K]

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = $\frac{adjacent}{hypotenuse}$ = $\frac{12}{l}$ ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = $\frac{12}{cos70}$ ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

4 0

2 years ago

F=9/5C+32 What Does C And F represent

il63 [147K]

C represents Celsius and F represent Fahrenheit.

Hope this helps!

3 0

2 years ago

Read 2 more answers

(x-4)/(2x+1)-3 can you help me with this question

lilavasa [31]

Answer:

$\frac{(x - 4)}{(2x + 1)} - 3$ $=$ $\frac{-7x- 7}{3x + 1}$

Step-by-step explanation:

Given

$\frac{(x - 4)}{(2x + 1)} - 3$

Required

Solve

Express 3 as a fraction

$\frac{(x - 4)}{(2x + 1)} - \frac{3}{1}$

Take LCM

$\frac{x - 4 - 3(2x + 1)}{3x + 1}$

$\frac{x - 4 - 6x - 3}{3x + 1}$

Collect Like Terms

$\frac{x - 6x- 4 - 3}{3x + 1}$

Simplify like terms

$\frac{-7x- 7}{3x + 1}$

Hence:

$\frac{(x - 4)}{(2x + 1)} - 3$ $=$ $\frac{-7x- 7}{3x + 1}$

4 0

2 years ago