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4 years ago

What does the notation f(2) mean? multiply f by 2 the output (y-value) when x = 2 the value of x when the output is 2

Mathematics

2 answers:

olga nikolaevna [1]4 years ago

5 0

Answer:

B. the output (y-value) when x = 2

andrezito [222]4 years ago

3 0

f(2) means x equals 2. its saying like 2 is your x value. Like for example

f(4)=x+6

you plug in your x value and solve.

f(4)=4+6

f(X)=10

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1) write the equation of the

Helen [10]

Answer:

y=3/2x-2

Step-by-step explanation:

Find the slope first:

$m=\frac{y_{2-y_{1} } }{x_{2}-x_{1} } =\frac{1-(-2)}{2-0}=\frac{3}{2}$

Then solve for y-intercept:

$y=\frac{3}{2}x+b\\-2=\frac{3}{2}(0)+b\\-2=b$

Now, write out your complete equation:

y=3/2x-2

6 0

3 years ago

Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

INCOME

Neko [114]

Answer:

A tool for planning the spending and saving of income.

Step-by-step explanation:

A budget gets set to someone that has to spend within that amount. Example: If my budget is 20 dollars, I can only spend 20 dollars or less.

5 0

3 years ago

A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes,

olga55 [171]

The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers

The correlation coefficient is 0.53

<h3>How to calculate the correlation coefficient</h3>

The correlation coefficient (r) is calculated as:

$r = \frac{n(\sum xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2}}$

Using the given parameters, we have:

$r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1257^2][20 * 836 - 116^2}}$

Evaluate the exponents

$r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1580049][20 * 836 - 13456}}$

Evaluate the products

$r = \frac{164980 - 145812}{\sqrt{[1976460 - 1580049][16720 - 13456}}$

Evaluate the differences

$r = \frac{19168}{\sqrt{[396411*3264}}$

Evaluate the product

$r = \frac{19168}{\sqrt{1293885504}}$

Evaluate the root

$r = \frac{19168}{35970.6}$

Evaluate the quotient

$r = 0.53$

Hence, the correlation coefficient is 0.53

Read more about correlation coefficient at:

brainly.com/question/1564293

8 0

2 years ago

For a direct variation describe how the constant of variation affects whether y increases or decreases as x increases

Goryan [66]

Direct variation is of the form: y=kx (inverse variation is of the form y=k/x)

Assuming that k is positive :)

y increases as x increases and y decreases as x decreases. There is a direct ratio that is described by k. k=y/x.

7 0

3 years ago