Which rules define the function graphed below?
eOf
y
4
0.3)
3
(3,2)
1
2
3
4
В
7
x
2
3

Which Rules Define The Function Graphed Below?eOfy40.3)3(3,2)12347x23

Answers

Answer 1

Answer: y= 2x+3; y=-1/3x+3

Step-by-step explanation:

First option on edge

Answer 2

y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.

The correct option is 1.

What is a graph?

Graph, a visual depiction of statistical information or a relationship between variables that serves a purpose. Graphs serve a predictive purpose because they have the advantage of displaying broad trends in the quantitative behavior of data. But, as just approximations, they may be imprecise and occasionally deceptive. The majority of graphs include two axes: a horizontal axis that represents a set of independent variables and a vertical axis that represents a set of dependent variables. A broken-line graph, in which time is typically the independent variable, is the most typical type of graph.

The graph of the functions and the points on the line is given.

The points for 1st function = (0, 3)

The points for 2nd function = (3, 2)

The given function:

y = 2x + 3

Substituting (0, 3)

3 = 2(0) + 3

3 = 3

Similarly, for y = -(1/3)x + 3

Substituting (3, 2)

2 = -(3/3) + 3

2 = -1 + 3

2 = 2

Hence, y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.

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Related Questions

Jack bought a case of 12 calculators for $60.00. He sold six for $52.00 each and six for $56.00 each. How much was Jack's profit on
the case of calculators?
A)
524.00
B)
$48.00
560.00
D)
$108.00

Answers

Answer: $48.00

Step-by-step explanation:

Jack bought 12 calculators for $60

he sold six for 52 and the other six for 56

52+56=108

108-60=48

name this angle
X Х
4
Y
N ​

Answers

Answer:

no I have no answer

Step-by-step explanation:

noooooooooooooo

HELPPPPP WILLLLL AMRK BRAINLIESTTTTTT

Answers

I think it’s c but I’m sorry if it wrong

Which of the following is a valid use of the associative property of addition?
A. (5+8.5) - 3.5 = 5+ (8.5-3.5)
B. (8.5+5) -3.5=(8.5-3.5)+5

Answers

B is the valid use of the associative property of addition

Find the value of x to the nearest tenth. PLEASE HELP ANSWER THIS!!!

Answers

Right triangle
Use Sohcahtoa
Given hypothenuse = 10
Adjacent = x
And angle degree of 52
You can use Cosine
Cos(52) = x/10
0.6156614753 = x/10
x = 6.156614753
Round to nearest tenth

Solution: 6.2

Answer:

7.8

Step-by-step explanation:

Identify sin cos or tan

In this case you would use tangent/tan

tan(∅) = opposite/adjacent

∅ (theta) = angle

plug in what you know to the tangent equation

tan(52) = 10/x

multiply both sides by x

x tan(52) = 10

divide by tan(52) on both sides

x = 10/tan(52)

enter 10/tan(52) in calculator

get 7.81285626...

nearest tenth = 7.8 units

Part A. Describe a relationship modeled by the function f(x) = 4x³ - 72x² + 320x, and explain how the function models the relationship.
Part B. Identify and interpret the key features of the function in the context of the situation described in part A.

Answers

Answer:A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

Explanation:

To find a relationship modeled by the given function it is recommendable to factor it.

The function is: f(x)=4x3- 72 x2+320x

The first step to factor it is to extract common factor 4x: f (x)=4x(x2-18=80)

The second step is to factor the quadratic trinomial.

That is made by writing it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is: f(x)=(4x)(x-10)(x-8)

Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

x is the desired (unknown) length

4x is 4 times the desired length

x - 10 is 10 less than the desired length

x - 8 is 8 less than the desired length

Thus, the volume of the prism is the product of the three factors:

Volume = (4x)(x-10)(x-8)

What is the perimeter of this red polygon. Geometry!!

Answers

Answer:

13 cm.

Step-by-step explanation:

Add all the sides to get the perimeter

It would be 13 centimeters :)

Given the coordinates for the function below, who of the following are coordinates for its inverse?

Answers

Answer:

If we have a function f(x) that has an inverse g(x), we have the relations:

f( g(x)) = x

g( f(x)) = x

Then if the coordinates for the function f(x) are points like (x₁, y₁)

The coordinates for the inverse, g(x), will be (y₁, x₁)

Now let's look at the table, here we can see that the coordinates for f(x) are:

(0, 650)

(100, 550)

(200, 450)

(340, 310)

(650, 0)

Then the coordinates of the inverse function will be:

(650, 0)

(550, 100)

(450, 200)

(340, 310)

(0, 650)

Fill in the boxes with values that make the statement true.

Answers

Answer: sqrt(63m^17) = 3m^8 sqrt(7m)

it takes 7/12 foot of ribbon to make a bookmark how many feet of ribbon will it take to make 15 bookmarks

plz answer this question without any links

Answers

answer: 8.75ft

Step:

7/12*15

=8.75

help 5 points

pls no wrong answer

Answers

Answer:

A (3, 4)  B (4, 2)  C (0.5, 0.25)  D (1, 2.5)  E (1.75, 4.25)

Step-by-step explanation:

The coordinate points of a point are (x, y) where x is the number on the x-axis and y is the number on the y-axis.

By looking at points A and B they're easy to tell.

For points C, D, and E they're in between whole numbers so by converting the number given which is a fraction you can get 0.25 from 1/4 which is half of 1/2, 0.5 from 1/2, 0.75 from 3/4 which is half of 1/2 plus 1/2, 1.25 from 1 1/4, etc....

9. A plastic pipe 10 cm long has an
outside diameter of 5 cm and an
inside diameter of 4 cm. If the
density of the plastic is 0.92 g/cm3,
what is the mass of the pipe? Use
3.14 for a, and round your answer
to the nearest gram.

Answers

First find the volume of the pipe:

V = 3.14*length*(outsideradius^2 - innerradius^2)
= 3.14 * 10*(2.5^2 - 2^2)
= 70.65 cm^3

Now find the mass using the formula density = mass / volume:

Mass = volume * density
= 70.65 cm^3 * 0.92g/cm^3
= 65 grams

The mass of the plastic pipe which is 10 cm long and has an outside diameter of 5 cm and an inside diameter of 4 cm is 65 grams.

What is of volume of a hollow cylinder?

Volume of a hollow cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of hollow cylinder can be given as,

[tex]V=\pi (r_2^2-r_1^2)h[/tex]

Here, (r₂) is the outer radius of the cylinder, (r₁) is the inner radius of the cylinder and (h) is the height of the cylinder.

A plastic pipe 10 cm long has an outside diameter of 5 cm and an inside diameter of 4 cm. Radius is half of the diameter. Thus, the outer radius is 2.5 cm (5/2) and the inner radius is 2 cm (4/2).

The volume of this cylinder is,

[tex]V=3.14 ((2.5)^2-2^2)\times10\\V=70.65\rm\; cm^3[/tex]

The mass of plastic pipe is the product of its volume and density. The density of the plastic is 0.92 g/cm3. Thus, the mass of it is,

[tex]m=70.65\times0.92\\m=65\rm\; grams[/tex]

Thus, the mass of the plastic pipe which is 10 cm long and has an outside diameter of 5 cm and an inside diameter of 4 cm is 65 grams.

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a cubic base tank has edges 5m long. If 500 000 litres of water is poured into the tank, what will the water level be?​

Answers

36600 level of water and that is the answer

What is the area of a triangle with a base of 10 cm and a height of 4 cm?

Answers

Answer:

20 cm

Step-by-step explanation:

have a nice day!! :)

Answer:

Su area es 20  

Step-by-step explanation:

bxa/2=10x4/2=20

De nada

A water company charges $20 for service and $2.75 for every thousand gallons of water used in month. Construct a linear model to represent the water bill; how much would you be charged if you used 14-thousand gallons of water this month?

Answers

Answer:

$58.50

Step-by-step explanation:

2.75 per 1000

2.75 x 14 = 38.5

$38.50 + $20 =$58.50

The volumes of two cubes are 32ft^3 and 1372ft^3
1. What is the ratio of their volumes?
2. What is the scale factor?
3. What is the ratio of their surface areas?
4. Find the surface are of the smaller cube if the larger cube has a surface area of 196ft^2

Answers

Answer:

1) 8 : 343

2) 42.875 or 42 ⅞

3) 4 : 49

4) 16ft²

Step-by-step explanation:

Volume of cube: s³

Surface area of cube: 6s²

_____________________

32ft^3 and 1372ft^3 →

32 : 1372 = 8 : 343

343 / 8 = 42 ⅞ = 42.875

s³ → 6s²

s³ = 8, s = 2, s² = 4.

s³ = 343, s = 7, s² = 49.

These are proportional so it is already in the simplest ratio so it is not necessary to multiply by 6.

s³ → 8 : 343

6s² → 4 : 49

(4 / 49) × 196ft² = 16ft²

For the following situations decide what type of chi square test is appropriate. Explain.

A random sample of 200 students was asked to sample a new type of pizza that the school was considering using as a replacement for the current pizza. Each student stated if they were a freshman, sophomore, junior, or senior and also if they liked the new pizza more than the current pizza (or not). The school would like to know if there is a relationship between grade level and pizza opinion.

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

In the given scenario, the Chi-square test is independent, which could be used because they would know whether it has any association among the several types of children like an old or new pizza. It does not associate discrete or factors that motivate with continuous data. In addition, only correlations among categorical data are evaluated inside the Chi-Square Independence Test, but causative inferential statistics cannot be given.

The type of chi square test that is appropriate for the following situation is Chi square test of independence.

What is chi square test of independence?

Within the same population, the Chi-square test for independence looks for an association between two categorical variables.

The school would like to know if there is a relationship between grade level and pizza opinion.

Two variables' relationship is to be known.

That is why, we will use chi square test of independence.

Learn more about chi square test of independence:

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20 POINTS PLS HALP!!!
Greenland is the least densely populated country in the world, with a population of 57,714 and
an area
of 836,109 square miles. To the nearest hundredth, what is the population density of
Greenland in people per square mile?

Answers

Answer:

number of people / land area = population density

57,714 / 836,109 ≈ 0.07 people/[tex]mi^2[/tex]

Answer:

.07 people per square mile

Step-by-step explanation:

We can just divide the people by area

57714/836109=.06902688525 or about .07 people per square mile

I think you got confused about the division and what to divide by what

Look over here we divide the PEOPLE by the AREA so we get the amount of PEOPLE per square mile

If we did it the opposite way we get THE AREA that EACH PERSON HAS

adadaadadadadadadadad

Answers

Answer:

I think B and D

Step-by-step explanation:

I’m not 100% sure tho

PLS AWNSER ILL GIVE BRAILIEST PLS

Answers

Answer:

i think its c

Step-by-step explanation:

First, to find the median of the swim team you would add up all of them, so 26 + 14 + 60 + 48 + 85 which is 233 then divide that by the total number of dots, or 15.5. So the median of the swim team is 15.5. You would do the same thing for the soccer team and the median would be 15.9. 15.9 is clearly higher but you have to round both to 16 which means they are both equal, but the soccer team has a bigger range (aka highest age so 18) so the answer is D.

what is the VOLUME of this rectangular prism!​

Answers

Answer:

There`s no photo but I can still help tell you how to solve the volume of a rectangular prism. Just multiply the length by the width, and then that by the height.

The formula is V = lwh

Hope this helps

The max Fuel capacity a spaceship should have is 500. The minimum is 200. The ship you are designing is rated at 75% of range. How much fuel capacity does it have? If, in the above example, we decide to change the max to 600, what is the new fuel capacity of the ship?

Answers

Answer:

Part 1: 375 Fuel Capacity

Part 2: 450 Fuel Capacity

Step-by-step explanation:

Find the percentage of each number with a calculator

375 fuel capacity does it have.

When decide to change the max to 600 new fuel capacity of the ship is 450.

Given that,

The max Fuel capacity a spaceship should have is 500.

The required 375 fuel capacity does it have.

When decide to change the max to 600 new fuel capacity of the ship is 450 determine,

How much fuel capacity does it have? If, in the above example, we decide to change the max to 600, what is the new fuel capacity of the ship.

According to the question,

The max Fuel capacity a spaceship should have is 500.

The ship you are designing is rated at 75% of range.

Full capacity is equals to max fuel capacity multiply by ship designing rate of range.

Therefore,

Fuel capacity = 500 × 0.75 = 375

And If the change in max fuel capacity to 600,

New fuel capacity is equals to new max fuel capacity multiply by ship designing rate of range.

Then.

New fuel capacity = 600 × 0.75 = 450

Hence, The required 375 fuel capacity does it have.

When decide to change the max to 600 new fuel capacity of the ship is 450.

To know more about Probability click the link given below.

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The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F. What is the probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal? Do not write probability in terms of percentage. Round your answer to two decimal places.

Answers

Answer:

0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F.

This means that [tex]\mu = 57, \sigma = 10[/tex]

Sample of 25:

This means that [tex]n = 25, s = \frac{10}{\sqrt{25}} = 2[/tex]

of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal?

This is 1 subtracted by the pvalue of Z when X = 59. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{59 - 57}{2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.84

1 - 0.84 = 0.16

0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.

Hey can you guys please help me understand. I need to find the answer to this question and my teacher explained how to do the assignment HORRIBLY. Please explain to me how you got the answer :)​

Answers

mmm  answer is 139.5 (C)

7x4.5=31.5

12x9=108

108+31.5=139.5

Answer:

A=139.5cm^2

Step-by-step explanation:

12x9=108---->Area of the rectangle A=l x w

9x7=63 divided by 2=31.5--->Area of the triangle  A=1/2 (b x h)

108+31.5=139.5cm^2

Hope this helps and can you give me brainliest pls?

What is the measure of angle A? How do you know this?

HELPPP QUICK ANSWER BOTH PARTS

Answers

Answer:

x = 20 degrees

Step-by-step explanation:

We know this because angles next to each other in parallelograms add up to 180 degrees, so if we create an equation, 3x + 120 = 180 meaning that 3x = 60, which means that x = 20 degrees.

Which of the expressions shown has a GCF of 5ab^2 with 15ab^3?

A. 30ab^2

B.30a^2b^5

C. 25ab^2

D. 5ab^2​

Answers

Answer:

The greatest common factor of 5ab^2 and 15ab^3 is 5ab^2

The greatest common factor between the two expressions will be 5ab²

What is the greatest common factor?

The greatest common factor is the largest positive number which can be divided into given numbers evenly.

Here the two numbers are:-

5ab² and 15ab³ or 5ab² and 5ab² x b

So we can see that the highest common factor between the two numbers will be  5ab².

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How many different amounts of nuggets can you find that can be ordered by combining 6, 9, and 20?

Answers

- Plot- Something interesting happens. After 43 nuggets, it is possible to fill any order request exactly. The number 43 is the largest number of nuggets it is not possible to make using packs of six, nine and twenty.

"Branliest will be appreciated"

Which expressions are equivalent to 3 1/4 - (- 5/8)?

Answers

Answer:

3.875

Step-by-step explanation:

Question 9 of 10
True or False? A circle could be circumscribed about the quadrilateral below.

Answers

Answer:

t

Step-by-step explanation:

A circle can be circumscribed about the given quadrilateral, the answer is: A. True.

We know that,

To circumscribe a circle about a quadrilateral means to place the quadrilateral inside the circle, such that the four vertices of the quadrilateral touches the circumference of the circle.

Opposite angles of a circumscribed polygon are supplementary.

Therefore, a circle can be circumscribed about the given quadrilateral, the answer is: A. True.

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A.right triangle
B.isosceles triangle
C.obtuse triangle
D.scalene triangle

HELP PLSSS THIS IS DUE BY 2:00 AM I NEED IT ASAPPP

Answers

Answer:

B. Isosceles triangle

Step-by-step explanation:

It is a vertical section and the figure formed from the cross-section is:

Isosceles triangle

Correct choice is B

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