For the linear function f(x) = -2x+1 , find the following
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.

Answers

Answer 1

Given:

The function is:

[tex]f(x)=-2x+1[/tex]

To find:

a. Slope and Y-intercept.

b. Is the function increasing, decreasing, or constant, justify your answer.

c. Graph the function, label x, and y-intercepts.

Solution:

a. We have,

[tex]f(x)=-2x+1[/tex]                  ...(i)

The slope intercept form of a line is:

[tex]y=mx+b[/tex]                    ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

[tex]m=-2,b=1[/tex]

Therefore, the slope of the line is -2 and the y-intercept is 1.

b. If the slope of a linear function is negative, then the function is decreasing.

If the slope of a linear function is positive, then the function is increasing.

If the slope of a linear function is 0, then the function is constant.

The slope of the linear function is negative.

Therefore, the function is decreasing.

c. We have,

[tex]f(x)=-2x+1[/tex]

At [tex]x=0[/tex], we get

[tex]f(0)=-2(0)+1[/tex]

[tex]f(0)=1[/tex]

So, the y-intercept is at (0,1).

At [tex]f(x)=0[/tex], we get

[tex]0=-2x+1[/tex]

[tex]2x=1[/tex]

[tex]x=\dfrac{1}{2}[/tex]

[tex]x=0.5[/tex]

So, the x-intercept is at [tex]\left(0.5,0\right)[/tex].

Plot the points [tex](0,1), \left(0.5,0\right)[/tex] and connect them by a straight line as shown below:

For The Linear Function F(x) = -2x+1 , Find The Following A. Slope And Y-intercept.b. Is The Function

Related Questions

The sides of a triangle are 2x+4, 5x+2, and 4x-3. What is the perimeter if x=2

Answers

Answer:

25

Step-by-step explanation:

The three sides of a triangle are 2x+4, 5x+2, and 4x-3.

The sum is the perimeter

P = 2x+4+ 5x+2+ 4x-3

Combine like terms

P = 11x +3

Let x =2

P = 11*2 +3

P = 22+3

P =25

Answer:

25

Step-by-step explanation:

Side 1: 2x+4         Side 2: 5x+2    Side 3: 4x-3

Substitute-

2(2)+4         5(2)+2        4(2)-3

Multiply-

4+4          10+2           8-3

Combine Terms-

16   +         12     +        5

=25

KInda need to hurry first answer gets brainlist

Answers

Answer: d

Step-by-step explanation:

Answer:

I think the answer to your question is 3x-5y^2 i am not sure.

Step-by-step explanation:

I hope this helps, have a nice day

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Answers

Answer:

Step-by-step explanation:

using formula

a^2+b^2=c^2

x^2+4^2=8^2

x^2+16=64

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x=[tex]\sqrt{48}[/tex] cm

Answer:

x = [tex]\sqrt{48}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 4² = 8²

x² + 16 = 64 ( subtract 16 from both sides )

x² = 48 ( take the square root of both sides )

x = [tex]\sqrt{48}[/tex]

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Answers

Answer:

The answer is "12 times, a die was rolled. Identify the complete possibilities to roll exactly 6".

Step-by-step explanation:

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So the value is [tex]P(X=6)[/tex]

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Answers

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Answer:

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1/2 (3) (6+2)

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Answer:

I am not sure if this is correct but I think it is A

Step-by-step explanation:

You get a 3% commission on all sales. This month, you made a sale of $45,050 and
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Answer:

$1,555.06

Step-by-step explanation:

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Answer:

I think it is the 5th one if im wrong i am sorry

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

PLAEASE Help If you answer this right I will mark you brainlist

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Answer:

Hello! answer: 65

Step-by-step explanation:

This is a supplementary angle meaning it will add up to 180 degrees therefore... 180 - 115 = 65 therefore x = 65 hope that helps!

Answer:

x=65°

Step-by-step explanation:

180°= x + 115°

x = 180 - 115

x = 65°

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The answer is 2 and Brainly requires 20 characters so bsjusgxbdnshxx

Find h(x+2) if h(x) = 9x-16

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If you actually graph this. I recommand using desmos. You will see that h(x+2) is shifted to the left. The equation of that is 9x-14. I hope this somewhat helped!

What is another way to write this??

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b is the answer

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B.

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Answers

Answer:

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Step-by-step explanation:

Given that Rajiv bought 1325 packs of red balls, 1238 packs of yellow balls and 1334 packs of green balls, and there were 6 balls in each pack, to determine how many balls did Rajiv buy the following calculation must be performed:

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3.897 x 6 = X

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Therefore, Rajiv bought 23,382 balls.

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At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter. FFF represents the fee (in dollars) for climbing ddd meters. F=110+0.12dF=110+0.12dF, equals, 110, plus, 0, point, 12, d What is the increase in price for every 100100100 meters climbed?

Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Dos calles tienen las siguientes longitudes: [tex]2\frac{2}{5}[/tex] y [tex]1\frac{3}{4}[/tex] de kilometro. Para calcular la longitud total de ambas calles debes sumar ambas longitudes:

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Ahora debemos amplificar las fracciones al común denominador. Esto es, se divide por el denominador de cada fracción y el resultado se multiplica por el numerador de la fracción:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

The co-ordinates of a point which divides the line joining the points (-3, 9) and (1, -3) internally in the ratio of 3:1  is , (0,0)

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Section formula for a point which divides line joining points into m:n ratio,

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https://brainly.com/question/17188072

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Answer:

425 ft³

Step-by-step explanation

Find the volume of the entire figure, if the part wasn't cut out

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If my answer is incorrect, pls correct me!

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Answers

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Have a great day and stay safe !

Answer:

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Answers

Answer:

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Step-by-step explanation:

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