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3 years ago

Determine whether the following function is one-to-one. f ( x ) = 6 x + 1

Mathematics

1 answer:

seraphim [82]3 years ago

4 0

Answer:

one to one function

Step-by-step explanation:

f(x)=6x+1 can only be a one to one function when x1=x2

Now,

f(x1)=f(x2)

or, 6x1 + 1 = 6x2 + 1

or, 6x1 = 6x2

or, x1 = x2

So f(x)= 6x + 1 is a one to one function

You might be interested in

What is an equation with more than one variable called

atroni [7]

An equation with more than one variable is called a "literal Equation"

6 0

4 years ago

Read 2 more answers

Matt had 60 questions correct on a Percent's Chapter Test that had 150 one-mark questions.

WARRIOR [948]

60/150 = 40%

Hope this helps :D

7 0

3 years ago

PLS HELP WILL GIVE BRAINLIEST :)

Rus_ich [418]

Step-by-step explanation:

the slope intercept form is

y = ax + b

"a" being the slope, "b" being the y- intercept (which is the y-value when x = 0).

the slope here :

in the table x is always increasing by 2.

and y is always investing by 1.

so, the slope is 1/2

the y-intercept :

we need to find the y-value for x = 0.

but we don't have a data point with x = 0 in the table.

so, we have to extend the structure of the table to the left.

x decreases by 2 (making it 0), and y decreases by 1 (making it -1).

therefore, the y- intercept (b) is -1.

and the line equation is

y = (1/2)x - 1

not sure about "the other method".

there is the point-slope form of the equation :

y - y1 = a(x - x1)

again with "a" begin the slope, and (x1, y1) being a point on the line.

if we get the y-intercept in the table, then this point is (0, y1).

and the equation would be

y - y1 = ax

in our case

y + 1 = (1/2)x

and another method ?

sometimes people write

nx + my = c

in our case starting with the original equation

y = (1/2)x - 1

2y = x - 2

-x + 2y = -2

x - 2y = 2

6 0

3 years ago

laura spends 4 hours reading a book that is 76 pages long. what is the average number of pages she read per hour?

Studentka2010 [4]

The average number of pages she reads per hour is 19 pages per hour

<h3>How to determine the average number of pages she read per hour?</h3>

The given parameters are:

Number of pages = 76 pages

Number of hours = 4 hours

The average number of pages she reads per hour is calculated using the following formula

Average = Number of pages/Number of hours

Substitute the known values in the above equation

Average = 76 pages/4 hours

Evaluate the quotient

Average = 19 pages per hours

Hence, the average number of pages she reads per hour is 19 pages per hours

Read more about average at:

brainly.com/question/20118982

#SPJ1

5 0

2 years ago

1. Draw an appropriate Venn diagram to depict each of the following sets. U = The set of integers. A = The set of even integers.

CaHeK987 [17]

The attached diagram represents the Venn diagram of the sets

<h3>How to draw the Venn diagram?</h3>

The sets are given as:

The universal set, U = The set of integers.
A = The set of even integers.
B = The set of odd integers.
C = The set of multiples of 3.
D= The set of prime numbers

From the above representation, we have the following highlights:

Set A and set B will not intersect, because no number can be even and odd
Set C and set D will intersect set A because they have common elements 6 and 2, respectively
Set C and set D will intersect set B because they have common elements 3 and 3, respectively

Using the above highlights, we can now draw the Venn diagram

See attachment for the Venn diagram