2/3x=4 Group of answer choices a. x= 8 b. x= 6 c. x = 8/3

PLEASE HELP 20 POINTS RIGHT HERE!!!!!!!

Travka [436]

Answer:

C

Step-by-step explanation:

Everything else can be simplified to 2/5, except for 9/20

7 0

3 years ago

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Kyree needs to fill up his truck with gasoline to drive to and from school. Gas costs $2.79 per gallon, and his truck holds a ma

Lunna [17]

Let x represent the cost per gallon of gasoline.

Let y or f(x) represent the cost of x gallons of gasoline.

Given that the cost per gallon is $2.79,

The function would be

f(x) = 2.79x

The domain refers to all possible values of x that can fit into the function. Given that the truck holds a maximum of 28 gallons, the maximum value of x is 28. When the truck is empty, the minimum value of x is 0. Therefore, the domain is 0 to 28

The range refers to all possibel values of y or f(x) that can satisfy the function.

When x = 0, f(x) = 2.79 * 0 = 0

When x = 28, f(x) = 2.79 * 28 = 78.12

The range would be 0 to 78.12

Domain: 0 to 28

Range: 0 t0 78.12

4 0

1 year ago

Given the sequence below, and that sequence has a domain of n 2 1, find the fifth

solmaris [256]

The fifth term of f(n) = n² - 3 is 22

$\texttt{ }$

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

Tn = n-th term of the sequence

Sn = sum of the first n numbers of the sequence

a = the initial term of the sequence

d = common difference between adjacent numbers

$\texttt{ }$

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

Tn = n-th term of the sequence

Sn = sum of the first n numbers of the sequence

a = the initial term of the sequence

r = common ratio between adjacent numbers

Let us now tackle the problem!

$\texttt{ }$

Given:

f(n) = n² - 3

Asked:

f(5) = ?

Solution:

$\texttt{for } n \geq 1 :$

$f(n) = n^2 - 3$

$f(5) = 5^2 - 3$

$f(5) = 25 - 3$

$f(5) = \boxed{22}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

7 0

4 years ago

Write the quadratic equation in standard form for the following equations (7,4);(-2,1);(1,9)

ladessa [460]

Answer:

$y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}$

Step-by-step explanation:

We need to write a quadratic equation so we can use standard quadratic equation:

$y=ax^2+bx+c$

Plug the given points to get three equations.

for (7,4), we plug x=7 and y=4

$4=a(7)^2+b(7)+c$

$4=49a+7b+c$ ...(i)

similarly using other two points, we get:

$1=4a-2b+c$ ...(ii)

$9=a+b+c$ ...(iii)

Now we solve those three equations by any method like substitution, or matrices or by any method and get:

$a=-\frac{7}{18},\ b=\frac{41}{18},\ c=\frac{64}{9}$

Now plug these values into $y=ax^2+bx+c$ , we get final equation as:

$y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}$

7 0

4 years ago

Wich decimal is equivalent to 122/11

MakcuM [25]

122/11= 11.09 or 11.1 depending on how you like to round numbers

6 0

3 years ago

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