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3 years ago

What are the factors of 14 and the prime number

Mathematics

2 answers:

saveliy_v [14]3 years ago

4 0

2,7 are the prime numbers

Dafna11 [192]3 years ago

3 0

The factors of 14 are 1,2,7, and 14. The prime number are 2 and 7.

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Give an equation for the result of shifting the graph of up by 4 units, and left by 2 units.

andreyandreev [35.5K]

We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.

For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:

g(x) = f(x + 2) + 4

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Let's see how to solve this.

We need to start by defining the two most common translations (also known as shifts).

Horizontal translation:

For a given function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

where if N is positive, the translation is to the left.

If N is negative, the translation is to the right.

Vertical translation:

For a given function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

Where if N is positive, the translation is upwards.

If N is negative, the translation is downwards.

Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.

The shift up of 4 units is written as:

g(x) = f(x) + 4

The shift of 2 units to the left is written as:

g(x) = f(x + 2)

These two together give:

g(x) = f(x + 2) + 4.

This is the equation we wanted to get.

If you want to learn more, you can read:

brainly.com/question/24401156

3 0

2 years ago

What is the difference A B C D

aksik [14]

Answer:

D. $\frac{x-1}{x^2+3x+2}}$

Step-by-step explanation:

The given expression is;

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

This is the same as;

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

The denominators are the same.

Subtract the numerators and write one denominator;

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

Rewrite to get;

$\frac{x-1}{x^2+3x+2}}$

4 0

3 years ago

Solve the system by Substitution

dusya [7]

Answer:

(-1,0)

Step-by-step explanation:

I used a graphing calculator and that is the solution

4 0

3 years ago

The manager of a local nightclub has recently surveyed a random sample of 280 customers of the club. She would now like to deter

Lunna [17]

Answer:

$z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007$

$p_v = P(z>2.007) = 0.0224$

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

Step-by-step explanation:

We have the following info given:

$\bar X = 35.6$ represent the sampel mean for the age of customers

$\sigma = 5$ represent the population standard deviation

$n = 280$ represent the sample size selected

We want to test if the mean age of her customers is over 35 so then the system of hypothesis for this case are:

Null hypothesis: $\mu \leq 35$

Alternative hypothesis $\mu >35$

The statistic for this case is given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing the data given we got:

$z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007$

We can calculate the p value since we are conducting a right tailed test like this:

$p_v = P(z>2.007) = 0.0224$

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

5 0

3 years ago

Please help! To solve the equation 1.75n = 7 for n, what operation must be applied to both sides in order to isolate the variabl

Kazeer [188]

Answer:

Step-by-step explanation:

1.75n = 7 ( to isolate n divide both sides by 1.75 )

n = $\frac{7}{1.75}$ = 4

6 0

1 year ago

Read 2 more answers