What is the y-intercept of the function f(x) = -2/-9x+1/3?

Answers

Answer 1

Answer:

b = 1/3

Step-by-step explanation:

The general structure of equations in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

The given equation is already in slope-intercept form. In other words, you have already been given "m" and "b". Therefore, the value which corresponds with the y-intercept is (1/3).

f(x) = mx + b

f(x) = -(2/9)x + 1/3


Related Questions

A job applicant estimates that his chance of passing a qualifying examination is , and his chance of being appointed if he does pass is . what is the probability that he will receive the job?

Answers

The probability that he will receive the job will be 1 / 6

The complete question is given below:-

A job applicant estimates that his chance of passing a qualifying examination is 2/3, and his chance of being appointed if he does pass is 1/4. What is the probability that he will receive the job?

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

It is given that:

The chance of passing a qualifying examination is 2/3=P

and chance of being appointed, if he does pass, is 1/4=P'

Now, we are asked to find the probability that he will receive the job.

We are asked to find the probability that he will receive the job.

The probability is calculated as The probability that he qualify the exam×Probability that he is being appointed.

=P×P'

=(2/3)×(1/4)

=1/6

Therefore the probability that he will receive the job will be 1 / 6

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Consider the given quadratic equations. Equations function it defines. Equation A y= 3x² - 6x + 21 Equation B y=3x² - 6x + 18 Equation C y= 3(x-1)2 +18 Equation Dy=3(x-1)² +21 Complete the following statement. equation. are equivalent , and of those, equation. is in the form most useful for identifying the extreme value of the function it define​

Answers

Equation A and equation C are equivalent , and of those, equation C is in the form most useful for identifying the extreme value of the function it define​s.

Evaluation of the quadratic expressions

The quadratic expressions can be simplified as follows;

Equation A: y = 3x² - 6x + 21Equation C: y = 3(x - 1)² + 18

Equation C is simplified as follows;

y = 3(x - 1)² + 18

y = 3(x² - 2x + 1) + 18

y = 3x² - 6x + 3 + 18

y = 3x² - 6x + 21

Thus, equation A and equation C are equivalent , and of those, equation C is in the form most useful for identifying the extreme value of the function it define​s.

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It is the middle of the heatwave, and you AC unit has broken. You have 2 companies that come highly qualified. Company A charges $200 to come out plus $50 per hour to look at your AC and determine what is wrong. Company B charges $125 plus $75 an hour for the same exact service.

After how many hours (x) will both companies charge you the same amount(y)?

Answers

By solving a linear equation, we will see that after 3 hours, both companies will charge the same amount.

After how many hours will both companies charge you the same amount?

We know that company A charges $200 plus $50 per hour. So if they work for x hours, they charge:

A(x) = $200 + $50*x

And company B charges $125 plus $75 per hour, so if they work for x hours, they charge:

B(x) = $125 + $75*x

We want to find the value of x such that A(x) = B(x), then we want to solve the linear equation:

$200 + $50*x = $125 + $75*x

$200 - $125 = $75*x - $50*x

$75 = $25*x

$75/$25 = x = 3

This means that after 3 hours, both companies will charge the same amount.

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Graph the inequality y ≤-3x - 3.

Answers

Answer: [tex]y\leq -3x-3[/tex] [tex]< --Graph[/tex]

In order to graph the equation "y ≤-3x - 3", we need to graph the inequality by finding the boundary line, then shading the appropriate area.

MATHH!!! find the surface area of the prism. pleaseee answer correctly and tell me how you got your answer.

Answers

Answer:232 inch^2

Step-by-step explanation:to solve, add the surface area of each side. Remember, there are 3 pairs of sides and the pairs have equal area. Area =length x length. So we have 2x(8x2)+2x(2x10)+2x(10x8) in square inches.

pls pls pls pls pls help me assap.

Answers

The quadrilaterals and their corresponding properties as shown in the given table are explained below.

How to Identify properties of Quadrilaterals?

Property 1; All sides are Congruent means all sides are equal and only Square and Rhombus have this property.

Property 2; All angles are congruent means all angles are equal. Only Rectangle and Square have this property.

Property 3; Diagonals are perpendicular to each other. Only Square and rhombus have this property.

Property 4; Diagonals are congruent. This means the diagonals are equal and only Square and Rectangle have this property.

Property 5; Exactly One pair of parallel sides is given by Only Trapezoid.

Property 6; Two pairs of opposite sides are congruent. Only Parallelogram, Rectangle, Rhombus and Square have this property.

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A circle is divided into 9 equal parts what is the angle measure of one of those parts?

Answers

Answer: 40°

40 * 9 =360° Each part has 40° angle

A certain television is advertised as a 95-inch tv (the diagonal length). if the width of the tv is 77 inches, how tall is the tv? round to the nearest tenth of an inch.

Answers

The height of the television given the length of its diagonal and its width is 55.6 inches

What the height of the tv?

The  height of the television can be determined using Pythagoras Theorem.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

√95² - 77² = 55.6 inches

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Answer: 55.6

Step-by-step explanation: 55.6 that's what I put in and got it right

i need help grades are do today sorry for the trouble

Answers

Answer:

13

Step-by-step explanation:

[tex]Sin = \frac{opp}{hyp} \\cos= \frac{adj}{hyp} \\tan = \frac{opp}{adj}[/tex]

=> get the length of the diag on bottom

[tex]tan x = \frac{3}{4} x = 36.87[/tex] degree

[tex]sin(36.87)=\frac{3}{y}[/tex]

y is about 5

=> calculate max length of stick

[tex]tan\left(x\right)\:=\frac{5}{12}, x= 22.62degree[/tex]

[tex]sin\left(22.62\right)\:=\:\frac{5}{x}[/tex]

which is 13

Aurelio is purchasing carpet tiles to cover an area of
his living room floor that is 8 feet wide by 10 feet
long. each carpet tile is a square 20 inches wide by
20 inches long. what is the minimum number of carpet
tiles that aurelio must purchase to cover this area of
his living room floor?

a. 5
b. 11
c. 21
d. 30
e. 84

Answers

Answer:d.33

Step-by-step explanation: To begin we convert his living room floor length and width to inches. 8 1 slash 3 feet = 100 inches
10feet= 120 inches

hence the area in square inches of the living room floor is 100 inches times120 inches = 12000 inches squared.

Each carpet tile has an area of 20 by 20 which = 400inches squared. dividing the area of the living room by 400inches of each carpet tile, would yield 30 carpet tiles needed to cover this area.

As per linear equation, the minimum number of carpet tiles that Aurelio must purchase to cover the area of his living room floor is 29.

What is a linear equation?

A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.

Given, the room has a length of 10 feet = 12 × 10 inches = 120 inches

The width of the room is = 8 feet = 12 × 8 inches = 96 inches

Therefore, the area of the room is

= 120 × 96 square inches

= 11520 square inches

Length of each carpet tile is 20 inches

Width of each carpet tile is 20 inches

Therefore, the area of each tile is

= (20)² square inches

= 400 square inches

The number of tiles require

= (11520/400)

= 28.8

≈ 29

Therefore, 29 tiles will be required.

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Help plsss i dont get it

Answers

Part A

The pattern of squares is 1, 4, 9, ... which is the set of perfect squares

1 = 1^24 = 2^29 = 3^2

and so on

The 7th figure will have 49 squares because 7^2 = 49

Answer: 49

==============================================================

Part B

Each pattern has one circle per corner (4 circles so far). In addition, there's one circle per unit side to form the perimeter.

Pattern 1 has 4+4(1) = 8 circlesPattern 2 has 4+4(2) = 12 circlesPattern 3 has 4+4(3) = 16 circles

The nth term will have 4+4n circles. The first '4' is the number of circles at the corners. The 4n is the circles along the perimeter. If you wanted, 4+4n factors to 4(1+n).

Plug in n = 20 to find the 20th figure has 4+4n = 4+4(20) = 84 circles

Answer: 84

==============================================================

Part C

Pattern 1 has 1 square + 8 circles = 9 items totalPattern 2 has 4 squares + 12 circles = 16 items totalPattern 3 has 9 squares + 16 circles = 25 items total

This seems to suggest if the pattern number is odd, then we need an odd number of tiles (square + circular).

Let n be the pattern number. Pattern n needs n^2 square tiles and 4+4n = 4n+4 circular tiles. Overall, n^2+4n+4 tiles are needed.

It turns out that if n is odd, then n^2+4n+4 is always odd. The proof is shown below.

Side note: n^2+4n+4 factors to (n+2)^2

Answer: B) will always be odd

Determine, which is the shorter path from A to B is: Around the two small semi circles or around the large semi-circle? Verify your answer by calculating the length of the path in each case.​

Answers

This is the answer and the solution to your question

i NEED HELP ASAP
A(n) sampling method is one that is representative of the population, selected at random, and large enough to provide accurate data.

Answers

A sample is one that is representative of the population, selected at random, and large enough to provide accurate data.

What is a sample?

A sample is a smaller group that is representative of the population. A sample is sometimes necessary because it might not be feasible or cost effective to access the whole population.

For example, if a researcher is studying the impact of inflation on US families. It is not feasible to reach the whole of the families in the US. So, the researcher would use a representative group of US families. This is known as a sample.

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After 3 hours,
Amelie has biked
15 miles
A professional
cyclist finished a
100-mile race in 4
hours
it took Emma
3 hours to bike 27
miles up to the top
of Mt. Evans
← PREVIOUS
?
?
?
3 of 12
acer
20 miles/hour
5 miles/hour
25 miles/hour
NEXT->>
ES
X
a
12:19

Answers

distance= rate times the time

Amelie 15= rate x 3 hours
Amelie’s rate was 5 miles an hour

Professional
100= 4rate
Rate was 25 miles an hour

Emma
27 = 3 rate
Rate was 9 miles an hour

One number is 4 times another. Their difference is 27. How to get the other two numbers?​

Answers

Answer:

x = 36; y = 9

Step-by-step explanation:

To solve this problem you need to set up two equations. The first equation comes from the first sentence "One number is 4 times another." This equation can be written as x = 4*y where x and y are the two numbers. The second equation comes from the second sentence "Their difference is 27." This equation can be written as x-y = 27. To find the numbers you need to rearrange one equation and plug it into the other.

Step 1: write equations

x = 4*y

x-y = 27

Step 2: rearrange

Not necessary here

Step 3: substitute in

x - y = 27

4y -y = 27

3y = 27

y = 9

Step 4: solve for x

x = 4*y

x = 4*9

x = 36

[tex]x[/tex] - one number

[tex]4x[/tex] - the other number

[tex]4x-x=27\\3x=27\\x=9\\\\4x=4\cdot9=36[/tex]

These numbers are 9 and 36.

A neutron star has a density of about kg/m3. what would be the approximate mass of a 1-centimeter cube (a cube 1 cm on all sides)? kg (1.3 quadrillion pounds) kg (1.3 trillion pounds) kg (1300 trillion pounds) kg (1.3 billion pounds)

Answers

Answer:

Step-by-step explanation:

5.9 1014 kg (1300 trillion pounds)

5.9 108 kg (1.3 billion pounds)

5.9 1017 kg (1.3 quadrillion pounds)

5.9 1011 kg (1.3 trillion pounds)

those are the options

Help me please given ABcd is a parallelogram

Answers

AC is congruent to AC (reflexive property)Triangle CDA is congruent to triangle ABC (SAS)AB is congruent to CD, BC is congruent to DA (CPCTC)

The measure of an angle is 44.8°. What is the measure of its supplementary angle?

Answers

Answer:

Step-by-step explanation:

Peppers are sold in packs of 3 for $111,or in individual for $29 which is the best value

Answers

Buying them individually is the better value because 3*29=87 but 111/3=37

John is buying a new car. The value of one car he is considering is $20,000. The value of the car as it ages can be modeled by the
function v= 20,000(0.84), where t is the number of years from the time of purchase. One of the factors John is using to make his decision is
the value of the car over time until it reaches half its original value. What values of domain are reasonable for the given function in this
context?

Answers

The reasonable domain of the function is [0,4)

How to determine the domain?

The function of the car value is given as:

V(x) = 20000 * (0.84)^x

When the car reaches half its value, we have:

V(x) = 10000

Substitute V(x) = 10000 in V(x) = 20000 * (0.84)^x

10000 = 20000 * (0.84)^x

Divide both sides by 20000

0.84^x = 0.5

Take the logarithm of both sides

x log(0.84) = log(0.5)

Divide both sides by log(0.84)

x = 4

This means that the maximum value of x is 4

Hence, the reasonable domain of the function is [0,4)

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What is the period of f(x) = sin (8x)?
X/8
X/4
4
8

Answers

Answer: B- x/4

Step-by-step explanation:

The period is the horizontal distance needed for the values to repeat themselves.

use the information given to answer the question. write your answer as a decimal rounded to the nearest tenth

Answers

Answer: The value of x is 3.5

Explanation:

Equation:

y = 2x - 7

When the equation's Line intersects the x-axis, the value of y shall be always 0

Insert y = 0, to find x intercept

⇒ 0 = 2x - 7

⇒ 2x - 7 = 0

⇒ 2x = 7

⇒ x = 3.5

So coordinates: (x, y) → (3.5, 0)

Which triangles are similar please help lol

Answers

Answer:

triangles A and B are similar

Step-by-step explanation:

how many pattern block trapezoids would create 4 hexagons?

Answers

Answer:

8

Step-by-step explanation:

2 pattern block trapezoids makes one hexagon

There are 4 hexagons so you have to multiply 2 by 4

you get 8

8 is your answer

A circle has an area of 144pie square feet what is the diameter of the circle

Answers

Answer:

13

Step-by-step explanation:

144 = pie radio square

144 divided by pie = 45.83662361

45.83662361 square root = 6.770275003

6.770275003 multiply by 2 =  13.54055001

13.54055001 = diameter

Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x3 + 2. include the average rate of change in your answer.

Answers

Answer:

147

Step-by-step explanation:

[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\ \\\frac{f(5)-f(3)}{5-3}\\ \\\frac{(3(5)^3+2)-(3(3)^3+2)}{2}\\ \\\frac{(3(125)+2)-(3(27)+2)}{2}\\ \\\frac{(375+2)-(81+2)}{2}\\ \\\frac{377-83}{2}\\ \\\frac{294}{2}\\ \\147[/tex]

Recall that if a function [tex]f[/tex] is continuous over the interval [tex][a,b][/tex], then its average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex].

Which table represents a linear function?

Answers

The last table because each value goes up proportionally. The equation is actually y= 5x -10.

Have a great day.

X-7/20=5/16 solve for x

Answers

x = 53/80 = 0.6625

if isn't right I have another equation

Answer:

13.25

Step-by-step explanation:

[tex]x - 7 \div 20 = 5 \div 16[/tex]

by cross multiplying

16(x-7)=5(20)

16x-112=100

16x=100+112

16x=212

x=212 /16

×=13.25

if the question is this

how to simplify 8x-6x

Answers

You simplify 8x-6x by:

subtracting 6x from 8x. It's quite simple to deal with small two-part numbers like these. After subtracting 6x from 8x, you will get the answer 2x.

Quick Answer:

You simply 8x-6x by subtracting 6x from 8x, and then you will get the answer 2x

HAVE A NICE DAY

5.) The price of gas last year was $1.75 per gallon. The price went up by 5%,
what is the new price for a gallon of gas?

Answers

Answer: 1.75•5%=0.0875

1.75+0.0875=$1.84

I’m pretty sure this is correct

Answer:

5% of 1.75 is 0.085.

So 1.75 + 0.085 is 1.8375.

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