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3 years ago

Solve with explanation please

Mathematics

1 answer:

Reil [10]3 years ago

7 0

Answer: $\boxed{\dfrac{2}{5}}$

f(3)

Put the value of x = 3 to the equation of the function

$f(x)=\dfrac{4}{5}x-2\\\\f(3)=\dfrac{4}{5}\cdot3-2=\dfrac{4\cdot3}{5}-2=\dfrac{12}{5}-\dfrac{10}{5}=\dfrac{12-10}{5}=\boxed{\dfrac{2}{5}}$

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What is the awnser to the circled equations?

pshichka [43]

Answer:

$y = - \frac{1}{3}x - 1$

Step-by-step explanation:

We have to write an equation of a line which passes through the given point (-9,2) and is perpendicular to the given straight line y = 3x - 12 ........... (1)

Now, equation (1) is in the slope-intercept form and the slope of the line is 3.

Let, m is the slope of the required line.

So, 3m = -1

{Since, the product of the slopes of two perpendicular straight lines is -1}

⇒ $m = - \frac{1}{3}$

Therefore, the equation of the required line in slope intercept form is

$y = - \frac{1}{3} x + c$ {Where c is a constant}

Now, this above equation passes through the point (-9,2) point.

So, $2 = - \frac{1}{3} \times (-9) + c$

⇒ 2 = 3 + c

⇒ c = - 1

Therefore, the equation of the required straight line is $y = - \frac{1}{3}x - 1$ (Answer)

5 0

4 years ago

What is one third the difference between 3/4 and 2/3?

Ivan

Answer:

One third the difference between 3/4 and 2/3 is $(\frac{1}{36} )$

Step-by-step explanation:

One third the difference of A and B = $\frac{1}{3} \times (A-B)$

Here, as given in the question:

$A = \frac{3}{4} , B = \frac{2}{3} \\\implies A - B = \frac{3}{4} - \frac{2}{3}\\=(\frac{3 \times 3 -2 \times 4}{12}) = (\frac{9-8}{12} ) = (\frac{1}{12})\\ \implies A - B = (\frac{1}{12})$

Now, one third of the difference is :

$(\frac{1}{3}) \times (\frac{1}{12}) = (\frac{1}{36})$

Hence, one third the difference between 3/4 and 2/3 is $(\frac{1}{36} )$

3 0

4 years ago

Change 3648 to standard form

pychu [463]

I'm pretty sure it's

3.648 x 10(exponent 3)

4 0

3 years ago

Find the standard deviation of the data, 12, 19, 9.

jek_recluse [69]

Answer:

4.19

Step-by-step explanation:

Find the mean:

$\text{Mean}=\frac{12+19+9}{3}=\frac{40}{3}$

Find the standard deviation:

$\text{Standard Deviation}=\sqrt{\frac{(12-\frac{40}{3})^2+(19-\frac{40}{3})^2+(9-\frac{40}{3})^2}{3}}=\sqrt{\frac{158}{9}}\approx4.19$

4 0

2 years ago

Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 wh

makvit [3.9K]

Answer:

a.] d) employed individuals aged 25-29

b.] a) Have your earned a bachelor's degree (or higher)?

C.] Categorical

Step-by-step explanation:

According to the scenario described, the population being studied are those aged between 25 - 29 years and who are employed. The study was to determine the level of education of the respondents who happens to fall into the category of being employed and within the 25 - 29 Years age bracket.

The most appropriate question to ask in other to establish if respondent has at least a bachelor's degree is to explicitly ask if the respondent has a bachelor's degree or higher.

C) Categorical : The response to the question will best directly take a 'yes' 'no' format which is a categorical label which could then be transformed into dummy variables for further analysis

8 0

3 years ago