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

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

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

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.

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:

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 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

(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

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!

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

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

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]

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]

Multiply as a decimal point
0.6 x 0.4 =

Answers

Answer:2.4

Step-by-step explanation:

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 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

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

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

please show your work

Answers

Answer:

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

Step-by-step explanation:

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]

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

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]

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:

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

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!

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

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.

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]

can you please help !

Answers

The answer is 2 and Brainly requires 20 characters so bsjusgxbdnshxx

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 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
Other Questions
Administer 1500 mLs of enteral feeding over 18 hours via infusion pump. What will the mLs per hour be In the book Where the Mountain Meets the Moon, why did Fruitless Mountain have that name? * 2) Triangle ABC has three sides that all measure 7 feet. What is the measure of Angle B? 3) The amount of money charged for borrowing or using money, or the amount of money earned by saving money.A.budgetB.taxC.incomeD.interest The swiss did not like Austrian Emperors rulling their land. In 1291 , three contons agreed to fight togetherto protect themselves form the emperor . What is a canton ? Whatdid three cantons form 7. In science, the process/thing that you examine/focus on is called the ??and anything outside of this focus is called the ?? The Northwest Ordinance of 1787 _____.A. allowed slavery in the Northwest Territory.B. provided a way to admit new states to the Union.C. created a new capital city.D. purchased territories from Britain. Am I right? (No link pls A cone has a height of 8.4 centimeters and a base with a radius of 5.2 centimeters. What is thevolume of the cone?75.62 cubic cm713.21 cubic cm237374 cubic cm2,571.14 cubic cm PLEASSSSSEE!! HELP ME! ^^Applying the 30-60-90 Theorem, Solve this. Which was an effect of the Industrial Revolution?A. Decrease in standard of livingB. Global population increaseC. Democracy in EnglandD. Decreased productivity how do you say :" My sister cleans the dirt on the floor. She uses a broom " in french?help would be cool :) Which ancient people grew and wove cotton for clothing and trade? O A) Egyptians O B) Mesopotamians OC) Indus Valley people OD) All three ancient civilizations Taylor has eight more than four times as many stickers as her sister. Which expression represents the number of stickers that Taylor has if the variable s represents the number of stickers that her sister has?A 8s+4B 4s+8 C 4+s+8D 12s help me please I have to pass Evaluate the expression when x=7 and y=-3. 5y2-x A parallelogram has one side that is 9 millimeters and one side that is 13 millimeters. What is the perimeter of the parallelogram? please answer this question what is the main goal of cloning.A)To add medicines to the foods that people eatB)To make living things that have identical DNAC)To spread genes from transgenic plants to wild plantsD) To improve the process of asexual reproduction How many square feet is the world's largest pizza, including the crust?(Be sure to show and/or explain your work, make your final answer clear, and include units)The worlds largest pizza, including the crust, has a length of 131 feet