What is the product of -2x^3+x-5 & x^3-3x-4 Please show all work and explain

Mathematics

1 answer:

olga2289 [7]3 years ago

8 0

Answer:

- 2 $x^{6}$ + 7 $x^{4}$ + 3x³ - 3x² + 11x + 20

Step-by-step explanation:

Given

(- 2x³ + x - 5)(x³ - 3x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

- 2x³(x³ - 3x - 4) + x(x³ - 3x - 4) - 5(x³ - 3x - 4) ← distribute the 3 parenthesis

= - 2 $x^{6}$ + 6 $x^{4}$ + 8x³ + $x^{4}$ - 3x² - 4x - 5x³ + 15x + 20 ← collect like terms

= - 2 $x^{6}$ +7 $x^{4}$ + 3x³ - 3x² + 11x + 20

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In meters what is the value of x? Pls i really dont know how to do this

Hitman42 [59]

Answer:

x = 75 m

Step-by-step explanation:

This is a problem of similar triangles solved using proportions.

In similar triangles, corresponding side lengths are proportional.

Here the small and large triangles are similar because the have all three angles congruent.

By proportions, identifying corresponding sides,

x/45 = 50/30

solve for x

x = 45*(50/30) = 75 m

6 0

4 years ago

The time taken to complete a motorcycle race is normally distributed, with an average time (µ) of 2.5 hours and a standard devia

torisob [31]

Using the normal distribution, there is a 0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 2.5, \sigma = 0.5$

The probability that a randomly selected cyclist will take at least 2.45 hours to complete the race is <u>one subtracted by the p-value of Z when X = 2.45</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2.45 - 2.5}{0.5}$