What is the solution set for -4x

Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?

worty [1.4K]

Answer:

a-b divided into $a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}$

the reason is that the (a-b) vs (a+b) in the "SOAP"

same, opposite, always a plus the "-" in the "a-b" has to match the

sign between the two cubes

Step-by-step explanation:

4 0

3 years ago

A jar contains 7 blue cubes, 4 blue spheres, 5 green cubes, and 6 green spheres. If you select an object at random, what is the

tia_tia [17]

The answer is A. 23/22.

The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens (there is OR in a sentence), you will use the addition rule. So, let's just add the probability that the object is green and the probability that the object is a cube.
There are in total 22 objects:
7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects.
The probability that the object is green is 11/22 (because there are 11 objects
that are green (5 cubes and 6 spheres) of in total 22 objects).
The probability that the object is a cube is 12/22 (because there are 12 objects that are a cube (7 blue and 5 green) of in total 22 objects).

Thus, the probability that the object is green or a cube is:
$\frac{11}{12} + \frac{12}{12} = \frac{11+12}{12} = \frac{23}{12}$

8 0

3 years ago

Nina draws the model at the right to represent the relationship 8 times as many as 4 is 32. Nina thinks she can label the model

bazaltina [42]

Um yes come on thats so simple

4 0

3 years ago

Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2% – 5, what key features do f(x) and g(x) ha

prohojiy [21]

A. Both $f(x)$ and $g(x)$ have the same domain of $(9, +\infty)$ .

<h3>How to analyze similarities in two functions</h3>

In this question we must analyze the domain, range, x-intercepts and increase intervals:

<h3>Domain</h3>

$Dom \{f(x)\} = \mathbb{R}$

$Dom \{g(x)\} = \mathbb{R}$

Both functions are continuous.

<h3>Range</h3>

$Ran \left\{f(x)\right\} = (3.875, +\infty)$

$Ran \{g(x)\} = (-5, +\infty)$

<h3>x-Intercepts</h3>

$f(x):$ $(x,y) = \emptyset$

$g(x):$ $(x,y) = (2.322, 0)$

<h3>Increase intervals</h3>

$f(x):$ According to the graph, $f(x)$ increase over the interval of $(3.875, + \infty)$ .

$g(x) :$ According to the graph, $g(x)$ increase over the interval of $\mathbb{R}$

After a quick analysis, we conclude that option A offer the best approximation to characteristics of both functions. $\blacksquare$

<h3>Remark</h3>

The statement presents mistakes and is poorly formatted. Correct form is:

Given a polynomial function $f(x) = 2\cdot x^{2}-3\cdot x + 5$ and an exponential function $g(x) = 2^{x}-5$ . What key features do $f(x)$ and $g(x)$ have in common?

A. Both $f(x)$ and $g(x)$ have the same domain of $(9, +\infty)$ .

B. Both $f(x)$ and $g(x)$ have the same range of $(-\infty, 0]$ .

C. Both $f(x)$ and $g(x)$ have the same x-intercept of $(2,0)$ .

D. Both $f(x)$ and $g(x)$ increase over the interval of $(-4, +\infty)$ .

To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372

4 0

2 years ago

Lost-time accidents occur in a company at a mean rate of 0.40.4 per day. What is the probability that the number of lost-time ac

o-na [289]

Answer:

1.32% probability that the number of lost-time accidents occurring over a period of 88 days will be no more than 22.

Step-by-step explanation:

To solve this question, i am going to approximate the Poisson distribution to the normal to solve this question.

Poisson distribution:

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 variance is the same as the mean.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The poisson distribution can be approximated to the normal with mean $\mu$ and standard deviation $\sigma = \sqrt{\mu}$