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

what is 2/3 - 1/3 I appreciate all answers!! (btw i dont wanna do all the math right now so i know how to do it i am just not in the mood of doing it rn.)

Answers

Answer:

1/3

Step-by-step explanation:

2/3-1/3=1/3

#Carry on Learning

[tex]0.333[/tex] ✅

Step-by-step explanation:

[tex] \frac{2}{3} - \frac{1}{3} \\ = \frac{2 - 1}{3} \\ = \frac{1}{3} \\ = 0.333[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning}}{\orange{.}}}}}[/tex]

Please help 10 points...

Answers

Answer:

area of a trapezoid is 1/2(h)(b1 + b2)

1/2 (3) (6+2)

1/2 (24)

12 units ²

What is another way to write this??

Answers

Answer:

b is the answer

....................

Answer:

B.

Step-by-step explanation:

The negative (-) must be within the parentheses “(..)”. The expression is repeated four times, thus (-2/3)^4

How do I find the volume?

Answers

Answer:

425 ft³

Step-by-step explanation

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

It would be 11 x 8 x 5 = 440

Now do 5 x 1 x 3 = 15

440 - 15 = 425

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Rajiv brought 1325 packs of red balls 1238 packs of yellow balls and 1334 packs of green balls there were 6 balls in each pack how many balls did rajiv buy .Change the numbers to very simple numbers in UPSL method

Answers

Answer:

Rajiv bought 23,382 balls.

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:

(1,325 + 1,238 + 1,334) x 6 = X

3.897 x 6 = X

23.382 = X

Therefore, Rajiv bought 23,382 balls.

Find 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. *
a) (1, 1)
b) (0, 0)
c) (1, 2)
d) (2, 2)

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)

What is a line?

The equation of a  line is a relationship between x and y coordinates.

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

(X,Y) = { (mx₂+nx₁)/m+n , (my₂+ny₁)/m+n }

Given points,

(-3, 9) and (1, -3)

m:n = 3:1

(X,Y) = { (3×1+ 1×-3)/3+1 , (3×-3 + 1×9 )/ 3+1 )

(X,Y) = (0,0)

Hence, the points will be, (0,0)

To know more about Line check:

https://brainly.com/question/17188072

#SPJ1

using the 45o −45o −90o Triangle theorem.

Solve this triangle.​

Answers

It’s going to be 90ox cause of how mush sides there is and it’s a rectangle triangle

can you please help !

Answers

The answer is 2 and Brainly requires 20 characters so bsjusgxbdnshxx

please show your work

Answers

Answer:

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

Step-by-step explanation:

what is the surface area of a box with measurements length = 5.7 height = 8.5 and width = 1.9? I forgot what surface area is so I need help

Answers

Answer:

150.86

Step-by-step explanation:

to calculate the surface area the formula is 2(wl+hl+hw). Hope I helped!

Which of the following is most likely the next step in the series?
Look at the photo

Answers

It looks like C since it was the start on the other side.

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

Answers

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°

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

The two windows shown are similar. What is the height of the larger window?

Answers

The ratio is 9.6/8 = x/5 so the height x=5*9.6/8 =6

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

You get a 3% commission on all sales. This month, you made a sale of $45,050 and
a sale of $6,785.25. What is your commission for the month?

Answers

Answer:

$1,555.06

Step-by-step explanation:

PLEASE PLEASE HELP ME ASAP

Answers

Answer:

378

Step-by-step explanation:

540 of 70%. So you will write this as 70 / 100 x 540 = 378. I hope this helped you.! <3

Can someone pls help I’ll mark brainliest

Answers

Answer:

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

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

HELP ME OUT PLEASEEEEEEEEEEEe

Answers

Step-by-step explanation:

y = 15× tan25° = 15×0.466 = 6.99 m

r (Hypotenuse) = 15/cos25° = 15/0.906

= 16.56m

the total height = 6.99+16.56 = 23.55 m

Multiply as a decimal point
0.6 x 0.4 =

Answers

Answer:2.4

Step-by-step explanation:

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:

122fee/meter

Step-by-step explanation:

Given the expression for the initial fee plus a constant fee per meter expressed as;

F = 110 + 0.12d

Is d = 100m

Substiutte into the expression and get F

F = 110 + 0.12(100)

F = 110 + 12

F = 122

Hence the required increase in price is 122fee/meter

Answer:

110

Step-by-step explanation:

Find y.

Write your answer in simplest radical form.

Answers

Answer:

y = 6

Step-by-step explanation:

in a 45-45-90 triangle, the hypotenuse is [tex]\sqrt{2}[/tex] multiplied by the side across from the 45° angle

Dos calles tienen las siguientes longitudes 2 2/5 y 1 3/4 de kilometro cual es la longitud total de ambas

Answers

Answer:

La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]

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:

[tex]2\frac{2}{5}+1\frac{3}{4}[/tex]

Para sumar fracciones mixtas, en primer lugar sumas la parte entera:

2+1= 3

Luego se deben sumar las fracciones. Para ello, es necesario encontrar el común denominador. En este caso el común denominador entre 5 y 4 es 20.

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:

[tex]\frac{2}{5}+\frac{3}{4}=\frac{8+15}{20} =\frac{23}{20}[/tex]

Entonces el resultado de la suma es:

[tex]3\frac{23}{20}[/tex]

La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]

Solve for X. rx-s = t

Answers

Answer: x=t/r+s/r

How to:  Isolate the variable by dividing each side by factors that don't contain the variable.

Have a great day and stay safe !

Answer:

[tex]solve \: \: for \: \: x \\ rx - s = t \\ rx = t + s \\ x = \frac{t + s}{r} [/tex]

What congruent theorem is this triangle...need help please

Answers

… z =w …angle v x w = angle z x y
It follows AAA SIMILARITY Relation

you roll a six sided dice 60 times the number for which the experimental probability of rolling the number is the same as the theoretical probability is

Answers

Answer:

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

Step-by-step explanation:

Using formula:

[tex]P(X=K)=\binom{N}{K} P^{K} a^{N-K}[/tex]

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

(trigonometry) solve for x

Answers

Answer:

x= about 36.9

Step-by-step explanation:

We have 2 known factors, the degree of 31 and 19 for a side.

19 and x are opposite and hypotenuse of the angle of 31.

sin 31 = 19/x

We isolate and do

19/sin 31

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

Answers

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!

Find the length of the missing leg.

Answers

Answer:

Step-by-step explanation:

using formula

a^2+b^2=c^2

x^2+4^2=8^2

x^2+16=64

x^2=64-16

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]

Equations from tables
Plzz help

Answers

1. Initial value: 10
Rate of change: 3
Equation: y + 3

2. Initial value: 3
Rate of change: 3
Equation: y + 3

3. Initial value: 8
Rate of change: -2
Equation: y - 2

The initial value is the y-coordinate when x is equal to 0.
The rate of change is the difference between one point to the next immediate point.
The equation shows the rate of change.
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