Mathematics High School

Please refer to the picture

Answers

Answer 1

The graph is shown in the attachment below

From the graph, the solution to the equation [tex]\frac{4}{x}-2x+1=0[/tex] is x = -1.2 and x = 1.7

From the picture, we are to draw the graph of the function

[tex]y = -\frac{4}{x}[/tex] for the range of values [tex]-3\leq x\leq 3[/tex] (that is for values of x from -3 to 3)

First we will create the table of values for the function

Table of values for the function [tex]y = -\frac{4}{x}[/tex]

x y

-3 1.33

-2 2

-1 4

0 Undefined

1 -4

2 -2

3 -1.33

(Shown better in the docx attachment)

The graph for the function [tex]y = -\frac{4}{x}[/tex] (purple lines) is also shown in the attachment.

To use the graph to solve the equation [tex]\frac{4}{x}-2x+1=0[/tex]

We will rewrite the equation so that it takes the form [tex]y = -\frac{4}{x}[/tex]

From [tex]\frac{4}{x}-2x+1=0[/tex]

Then, [tex]-2x+1= -\frac{4}{x}[/tex]

∴ [tex]y = -2x+1[/tex]

Hence, we will plot the graph for the function [tex]y = -2x+1[/tex] on the same graph and the points of intersection gives the solution.

The function is a linear equation

The points of intersection on the x and y axes (x-intercept and y-intercept) are enough to plot a straight line graph as shown in the table below as well as in the graph

x y

0 1

0.5 0

(Shown better in the docx attachment)

The straight red lines in the graph shows the plot for the function [tex]y = -2x+1[/tex]

From the graph, the points of intersection are -1.2 and 1.7

Hence, the solution to the equation [tex]\frac{4}{x}-2x+1=0[/tex] is x= -1.2 and x = 1.7

Learn more here: https://brainly.com/question/17174762

Related Questions

Is "y = 0.860x + 3.302" a function? Explain why.

Answers

Answer:

Yes.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Any line that follows slope-intercept form will be a function.

If we graph this line, we can see that each x-value has its own y-value and it passes the vertical line test.

∴ y = 0.860x + 3.302 is indeed a function.

would appreciate the help please!

Answers

Answer:

I think SAS is the correct Ans

The+pie+chart+shows+the+age+distribution+in+a+village+of+120+a)+how+many+people+are+older+than+60+=+120+B)+What+percentage+of+the+villagers+are+under+25?+I+KNOW+A+I+NEED+TO+KNOW+B

Answers

Answer:

if the village is of 120 people and 120 people are over the age of 60 then 0 people are under the age of 25.

Step-by-step explanation:

In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C

Answers

Given:

In triangle [tex]ABC, AC=13, BC=84, AB=85[/tex].

To find:

The measure of angle C.

Solution:

Law of Cosines:

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

[tex]\cos C=\dfrac{BC^2+AC^2-AB^2}{2(BC)(AC)}[/tex]

Substituting the given values, we get

[tex]\cos C=\dfrac{(84)^2+(13)^2-(85)^2}{2(84)(13)}[/tex]

[tex]\cos C=\dfrac{7056+169-7225}{2184}[/tex]

[tex]\cos C=\dfrac{0}{2184}[/tex]

[tex]\cos C=0[/tex]

Taking cos inverse on both sides, we get

[tex]C=\cos^{-1}(0)[/tex]

[tex]C=90^\circ[/tex]

Therefore, the measure of angle C is 90 degrees.

Answer:

eason

Step-by-step explanation:

boy

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