All categories

2 years ago

Determine if the function is one-to-one. A decreasing line intercepting the y axis at 0,4

Mathematics

2 answers:

PilotLPTM [1.2K]2 years ago

8 0

Answer:

Yes, it is a one-to-one function.

Step-by-step explanation:

If every element of the range of the function corresponds to exactly one element of the domain, then the function is called one-to-one.

A linear function is always a one-to-one function. It means all straight lines represent one-to-one function, except the vertical or horizontal lines.

It is given that a decreasing line intercepting the y axis at (0,4). We need to check whether it is a one-to-one function or not.

Since, all increasing or decreasing lines represent the one-to-one function, therefore the given function is also a one-to-one.

sesenic [268]2 years ago

3 0

Answer:

it is

Step-by-step explanation:

Any linear function is one-to-one. It passes both the horizontal and vertical line test. Every element of the range maps to exactly one element of the domain and vice versa.

You might be interested in

Find the equation of the line that contains the given point and has the given slope-

mylen [45]

Answer:

y-5 = -3x

y = -3x+5

Step-by-step explanation:

We can use the point slope form of the equation

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y-5 = -3(x-0)

y-5 = -3x

We can change it to slope intercept form y= mx+b by adding 5 to each side

y-5+5 = -3x+5

y = -3x+5

3 0

2 years ago

Read 2 more answers

The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions

AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

Step-by-step explanation:

Given that,

The Area of the rectangle is 273.

Step 1 :

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

Step 2 :

Area of the rectangle = length $\times$ width

273 = (2x - 5) x

273 = 2x^2 - 5x

Step 3 :

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

Step 4 :

Find the roots using factorizing method,

ac = 2 $\times$ -273 = -546 and b= -5

Factorizing -546 as -26 $\times$ 21

The product of -26 $\times$ 21 = -546

The sum of -26 + 21 = -5

Step 5 :

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

Step 6 :

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

= 2(10.5) - 5

= 21 - 5

length = 16 meters

5 0

3 years ago

A 1.8-ounce jar cinnamon costs $4.05. What is the cost per ounce?

Paha777 [63]

$4.05/1.8 oz= $2.25 per oz

Final answer: $2.25 per oz

6 0

2 years ago

Read 2 more answers

Which equation represents the graphed function?

scoundrel [369]

Solution:

we have been asked to find

Which equation represents the graphed function?

As we can see in the graph, the line is passing through the point (2,0) and (0,-3).

As we know the equation of the passing through two points is given by the formula

$(y-y_1)=m(x-x_1)\\
\\
m=slope=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{0-2}=\frac{3}{2} \\$

So the equation of the line will be

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

7 0

2 years ago

Read 2 more answers

Musichelp me out please

kenny6666 [7]

Answer:

right arrow

Step-by-step explanation:

3 0

2 years ago