Two customers took out loans from a bank.

tester [92]

Every function is a rule which tells you how to associate inputs and outputs. The input, also known as independent variable, is often indicated with the letter $x$ , while the output, also known as dependent variable, is often indicated with the letter $y$ .

With this notation, we write $y = f(x)$ , read "y is a function of x", in the sense that the value of the variable y depends on the value of the variable x, and f is the function that tells you how y depends on x.

In your example, you have $y = f(x) = 2-4x$ , which means "subtract four times the input (4x) from 2"

So, it doesn't matter which input you chose (i.e. the value for x), because you will always have to behave this way:

Pick an input value, x
Multiply it by four to get 4x
Subtract this number from 2: 2-4x

Here are some examples of explicit calculations: if I choose $x = 2$ and input, the workflow will be

Pick an input value, 2
Multiply it by four to get 8
Subtract this number from 2: 2-8=-6

So, if the input is 2, the output is -6

Similarly, if we choose $x = 0$ as input, we have:

Pick an input value, 0
Multiply it by four to get 0
Subtract this number from 2: 2-0=2

So, if the input is 0, the output is 2. And so on: for every possible value for x you have the correspondant value for y, with the function f telling you how to associate one with the other.

4 0

3 years ago

What is the standard form of g(x) = (-x-4)(x-3)

Anni [7]

Answer:

g(x) = - x² - x + 12

Step-by-step explanation:

Given

g(x) = (- x - 4)(x - 3)

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

- x(x - 3) - 4(x - 3) ← distribute both parenthesis

= - x² + 3x - 4x + 12 ← collect like terms

= - x² - x + 12 ← in standard form

8 0

3 years ago

(U-12)3 helpppppppoooppppppp

tankabanditka [31]

Answer

Step-by-step explanation:

ill help

3 0

3 years ago

Approximately 18% of the population of California is 70 years or older. In a random sample of 4, what is the provability for 3 o

Semmy [17]

Answer:

The correct response will be "0.01913".

Step-by-step explanation:

According to the question,

p - P(70 years or older)

= 0.18

n = 4

X = no. of individuals who are older than 70 years

Now,

∴ $P(X=r)=n_C_r \ p^r(1-p)^{n-r}$

∴ $P(X=3)=4_C_3(0.18)^3(1-0.18)^{4-3}$

$=4\times (0.18)^3(0.82)^1$

$=0.01913$

8 0

3 years ago

What is a prediction? A. a conclusion B. another hypothesis C. observed data that does not support the hypothesis D. another pro

adell [148]

Step by step:A prediction is basically an educated guess and if you are looking for the exact word to describe that you would find that hypothesis is the correct way to tell what is a prediction.

Answer:B

3 0

3 years ago

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