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Lisa [10]
3 years ago
13

7x + 10 - 18 + 2x = 55

Mathematics
1 answer:
Serga [27]3 years ago
5 0

Answer:

7

Step-by-step explanation:

add the like terms,

9x - 8 = 55

9x = 63

x = 63 ÷ 9

x = 7

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Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).
nasty-shy [4]

Answer:

f(x) = \frac{x - 25}{5x - 5}

Domain: x \ne 1

Step-by-step explanation:

Given

f(5x) = \frac{x - 5}{5x - 1}

Required

Determine f(x) and its domain

To determine f(x), we replace 5x with x in f(5x)

So, we have:

f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}

f(x) = \frac{\frac{x}{5} - 5}{x - 1}

Take LCM

f(x) = \frac{\frac{x - 25}{5}}{x - 1}

f(x) = \frac{x - 25}{5} * \frac{1}{x-1}

f(x) = \frac{x - 25}{5x - 5}

To get the domain, we set the denominator as

5x - 5 \ne 0

5x \ne 5

x \ne 1

4 0
3 years ago
Given that f (x) = StartFraction 2 Over x squared EndFraction and g (x) = StartFraction 13 Over x squared EndFraction What is th
taurus [48]

The given functions of <em>f </em>and <em>g</em>, where;f(x) =  \frac{2}{ {x}^{2} }, g(x) =  \frac{13}{ {x}^{2} } gives the domain of the functions as the option;

a. All non zero real numbers

<h3>How can the domain of the functions be found?</h3>

The given functions are presented as follows;

f(x) =  \frac{2}{ {x}^{2} }

g(x) =  \frac{13}{ {x}^{2} }

The given functions have <em>x²</em> as the denominator, therefore;

The domain of the functions are the possible x-values, which gives;

x² = (-x)² = Positive number

At <em>x </em>= 0, we have;

f(x) =  \frac{2}{ {0}^{2} }  =  \infty

g(x) =  \frac{13}{ {0}^{2} }  =  \infty

The domain is therefore;

a. All non zero real numbers

Learn more about the domain and range of a function here:

brainly.com/question/2264373

#SPJ1

7 0
1 year ago
Jodi is cutting out pieces of paper that measures 8 1/2 inches by 11 inches from a larger sheet of paper that has an area of 1,0
Vikentia [17]
Jodi is cutting out pieces with an area of 93.5 inches. He can cut out a max of 10 pieces.
6 0
3 years ago
A construction worker worked 36 hours and earned $504, which included
torisob [31]

Answer:

A

Step-by-step explanation:

A

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3 years ago
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erma4kov [3.2K]

Answer:

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Step-by-step explanation:

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