Which equation matches the graph of the greatest integer function given
below?

Which Equation Matches The Graph Of The Greatest Integer Function Givenbelow?

Answers

Answer 1

Answer:

[tex]y = x + 2[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation

First, pick any 2 corresponding coordinates

[tex](x_1,y_1) = (0,2)[/tex]

[tex](x_2,y_2) = (6,8)[/tex]

Next, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8-2}{6-0}[/tex]

[tex]m = \frac{6}{6}[/tex]

[tex]m =1[/tex]

The equation is calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (0,2)[/tex] and [tex]m =1[/tex]

[tex]y - 2 = 1(x - 0)[/tex]

[tex]y - 2 = (x - 0)[/tex]

[tex]y - 2 = x[/tex]

Make y the subject

[tex]y = x + 2[/tex]


Related Questions

Divya wants to rent a car to drive for the weekend. The rental company has a special that allows her to rent it for $200 for the weekend, plus $0.07 per mile. Divya only has $230. Write an inequality, solve, and determine her limitations when renting.

Answers

Answer:

[tex]200 + 0.07m \leq 230[/tex]

A maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.

Step-by-step explanation:

Given that:

Rent to be paid for the car in the weekend = $200

Charges to be paid per mile = $0.07

Total money available  with Divya = $230

To find:

The inequality as per her limitations and solution to the problem.

Solution:

Let the number of miles for which Divya can drive = [tex]m[/tex] miles

Charges for one mile = $0.07

Charges for [tex]m[/tex] miles = $0.07[tex]m[/tex]

Total charges for renting and [tex]m[/tex] miles = Rental charges + Operational charges

Total charges for renting and [tex]m[/tex] miles = $200 + $0.07[tex]m[/tex]

These are charges must be lesser than equal to the amount of money available with Divya.

Therefore, we can write:

[tex]200 + 0.07m \leq 230[/tex]

Subtracting 200 from both the sides:

[tex]0.07m \leq 30[/tex]

Dividing both sides with 0.07:

[tex]m \leq \dfrac{30}{0.07}\\m\leq 428.6[/tex]

Therefore, a maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.

Which of these does NOT represent the number of minutes in a hour?

Answers

Answer:

the question is cut in half

18% is what number of 63?

Answers

Answer:

[tex] 18 \%\: of \: x = 63 \\ \frac{18}{100} x = 63 \\ x = \frac{63 \times 100}{18} \\ x = 350[/tex]

350 is the right answer.

Answer:

350

Step-by-step explanation:

To figure out the number, divide 63 by 18%

63/0.18 = 350

You can check by doing the opposite operation with your answer:

350 · 0.18 = 63

Simplify
7⁸×7³×7⁴÷7⁹×7⁵​

Answers

Answer:

7^53

Step-by-step explanation:

8x3=24

24x4=96

96/9=10.6

10.6x5=53

Answer:

7^11

Step-by-step explanation:

There is a rule for simplifying exponents: n^a + n^b = n^a+b.

The rule applies here too. 7 is the n and the exponents on top are a and b. Following the rule:

[tex] {7}^{8} \times {7}^{3} = {7}^{8 + 3} = {7}^{11} [/tex]

Then you continue this formula:

11+4-9+5 = 11

Since the end result is 11 the answer is

[tex] {7}^{11} [/tex]


I think of a number, multiply it by three, and add four. I get twenty two.
a) Using the statement above, form an equation.
Use the letter 'x' for the unknown number.
3x+4=22
b)
Solve the equation.

Answers

Step-by-step explanation:

3x+4=22

3x=22-4

3x=18

x=18/3

x=6

Answer:

the answer should be like 3×6+4=22

Step-by-step explanation:

im not sure with A I mean, forming an equation, I guess it should be 3x+4=22 that's all as texted and for B

what I did was subtract 4 from 22 which I got 18 and then I divided 18 with 3, since the question said it was multiplied by 3.

22-4=18.

18÷3=6. 6×3=18

3×6+4=22

I hope this will help.

Natalie went skydiving. She jumped out of the plane at 3,080 feet above the ground. At 1,710 feet above the ground her parachute deployed, and instead of continuing to fall, she rose 35 feet. At this point, how far is she from the plane? Explain how you found your answer. PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP

Answers

Working out:
1710 + 35 = 1745

Answer: 1745 feet

open this pic and I'll give brainliest answer ​

Answers

Answer:

wait im confused open the picture or answer it?

Step-by-step explanation:

A student says that the sum difference, product and quotient of two
are always integers. Do you agree? Explain

Answers

Answer:

The quotient of two integers may not always be an integer.

Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.

Step-by-step explanation:

The student is not largely correct!

The sum, difference, and product of two integers is indeed always an integer.

But, the quotient of two integers may not always be an integer.

For example, the quotient of integers 4 and 2 will be an integer.

i.e.

4/2 = 2

But, if we take the quotient of 2 and 3, the result will not be an integer.

i.e.

2/3 = 0.67

Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.

A man has a garden measuring 40m by 24m. He wants to divide it equally into the minimum number of square plots

Answers

Complete question :

A man has a garden measuring 40m by 24m. He wants to divide it equally into the minimum number of square plots. what is the length of each square plot?

Answer:

8 m

Step-by-step explanation:

Given that :

Dimension of garden = 40m by 24m

Length of garden = 40m

Width of garden = 24m

To Obtain the length of each square plot if the garden is divided into minimum number of square plots ; we take the highest common factor of the dimension:

Length (40) = 1, 2, 4, 5, 8, 10, 20, 40

Width (24) = 1, 2, 3, 4, 6, 8, 12, 24

The highest common factor here is 8 ;

Thus, the length of each square plot is 8m

Probability
Help me with this one plzzz

Answers

Answer:

a. 5/10 = 50%

b. likelihood you'll draw a card with a B on it

I'm not sure about c.

I need help thank you

Answers

Answer:

16n + 41

Step-by-step explanation:

2(-n - 3) - 7(5 + 2n) (Given)

-2n - 6 - 35 - 14n (Distribute)

-16n - 41 (Add like terms)

16n + 41 (Divide by a factor of -1)

Answer:

B. -16n - 41

Step-by-step explanation:

Use the distributive property:

2(-n - 3) - 7(5 + 2n)

-2n - 6 - 35 - 14n

Combine like terms:

(-2n - 14n) + (-6 - 35)

-16n - 41

find cos b in the triangle
A 5/12
b 12/13
c12/5
d 5/13

Answers

Answer:

D

Step-by-step explanation:

cos β

= Adjacent / Hypotenuse

= 5/ 13

Answer:

5/13

Step-by-step explanation:

Halle has $48 saved for a new computer. Then she receives birthday money giving her a total of $290 saved. How much birthday money did she receive?

Answers

290 - 48 = 242

She received 242 dollars worth of birthday money.


I hope this helped!


I would appreciate it if you gave me a Thanks and a brainliest (:

Marshall Middle School is planning a field trip to see Romeo and Juliet at the local theater. The cost of a teacher ticket is $25 and the cost of a student ticket is $13. Write an expression to show the cost of t teacher tickets and s student tickets.

Answers

Answer:

25t + 13s

Step-by-step explanation:

Teacher ticket =  $25Student ticket = $13

Expression to show the cost of t teacher tickets and s student tickets:

25t + 13s

What is the inverse of the function f(x) = one-ninth * x + 2?

Answers

Answer:

Please mark as brainliest!!!!

Step-by-step explanation:

https://brainly.com/question/1144043

Answer:

f⁻¹(x) = 9x - 18

Step-by-step explanation:

Given

f(x) = 1/9x + 2

Let the inverse be y= f⁻¹(x)

To find inverse change x ⇒ y and solve for y:

x = 1/9y + 29x = y + 18y = 9x - 18

So the inverse is:

f⁻¹(x) = 9x - 18

What value(s) of x will make x2 = 9 true? O A. 3 and -3 O B. 3 a O c. 3 O D. 81 and -81​

Answers

Answer: D. 3

Step-by-step explanation:

3 times 3 equals 9 so the answer is 3

Answer:

The answer is 3.

Step-by-step explanation:

I took the quiz and got 100%

The triangles below are congruent and their corresponding parts are marked.

Answers

Answer:

I think it's a but I'm not 100 percent sure but I'd say a

6. How many sides has a regular poly- gon when each interior angle is 108°? 144°? 120°? 150°? 140°? 90°? 12870?​

Answers

Answer:

there are 'n' sides of the regular polygon. Thus, the measure of the angle of the quad, are 36°, 12°, 108° and 144°. Thus, the required number of sides of the regular polygon is 5.

Step-by-step explanation:

Approximately 10% of the population is left-
handed. If a school had a student population
of 1200 students, how many of them could
you expect to be right-handed?

Answers

Answer:

1080

Step-by-step explanation:

if 10 percent are left handed that means that 90 percent are right handed

number of people that are right handed = 0.9 × 1200number of people that are right handed = 1080

Answer:

120

Step-by-step explanation:

10%=0.1

1200*0.1=120

The line passing through which two points is parallel to the line x - 2y = 16?
A) -6,-1 and 2,-5
B) -4,-6 and 2,-9
C) -5,7 and 0,-3
D) -1, 5 and 3,13
E) -4,7 and -2,8

Answers

Answer:

E) -4,7 and -2,8

Step-by-step explanation:

parallel lines have same slope

x - 2y = 16

y = 1/2 x -8     slope: 1/2

E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2

Using the slope, it is found that the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

----------------------

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope.If two lines are parallel, they have the same slope.Given two points, the slope is given by change in y divided by change in x.

----------------------

The line given is:

[tex]x - 2y = 16[/tex]

In slope-intercept formula:

[tex]2y = x - 16[/tex]

[tex]y = \frac{x}{2} - 8[/tex]

----------------------

In this question, we want a line with an slope of 1/2.

At option E, the points are (-4,7) and (-2,8), thus, the slope is:

[tex]m = \frac{8 - 7}{-2 - (-4)} = \frac{1}{-2 + 4} = \frac{1}{2}[/tex]

Thus, the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

A similar problem is given at https://brainly.com/question/22532445

Find the value of x in a triangle 68 27

Answers

They should add up to 180, so you do 68 + 27 + x =180 and solve from there!

Can someone please help me? If it is correct I will give Brainliest
Thank you

Answers

Answer:

its C

Step-by-step explanation:

Answer: it would be B, here a picture for you to understand it

Step-by-step explanation: Hope you see the picture and hope this help

A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.

Answers

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

The mk family ochard has 120 apple trees and 90 pear trees.if each fruit tree produces an average of 590 pounds of fruit per year, about how many pounds of fruit can the ochard produce in one year​

Answers

If there’s a total of 210 fruit trees, and each tree produces 590 pounds a year, you multiply both those numbers and get 123,900 pounds a year.

3. As a fundraiser the school has a pie eating contest. Matt eats 2.75 pies in 300 seconds. b. Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.​

Answers

Answer:

Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as [tex]109\frac{1}{11}[/tex] seconds

Step-by-step explanation:

The number of pies Matt eats = 2.75 pies

The time duration Matt eats 2.75 pies = 300 seconds

Mathematically, the time duration for Matt to eat one pie is given as follows;

The time to eat 2.75 pies = 300 seconds

Dividing both sides of the equation by 2.75 gives;

The time to eat 2.75/2.75 pie = 300/2.75 seconds

2.75/2.75 = 1, therefore, we have;

The time to eat 1 pie = 300/2.75 seconds

The equivalent fraction of 3000/2.75 = 1200/11

Therefore;

The time Matt takes to eat 1 pie = 1200/11 seconds

What is the value of the expression 2 x 7 + 9 − 3 ÷ 3?

a 24
b 22
c 32
d 36

Answers

The answer to your question is b-22

Answer:

22?

Step-by-step explanation:

just follow PEMDAS. first multiply then divide then add then subtract

There are 42 boys in the sixth grade. The number of girls in the sixth grade is 35. Lonnie says that
means the ratio of the number of boys in the sixth grade to the number of girls in the sixth grade is
16:5.
Is Lonnie correct? Show why or why not.

Answers

Answer:

Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Step-by-step explanation:

First, create a ratio comparing the number of boys to girls:

42:35

This can be simplified since both numbers are divisible by 7:

42:35

Divide each number by 7:

6:5

So, Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Answer:

incorrect i think

Step-by-step explanation:

the ration would be 6:5

Can someone please solve this?

Answers

Answer:

[tex]\frac{7}{10}=\frac{14}{20}[/tex]

[tex]\frac{3}{4}=\frac{15}{20}[/tex]

so, [tex]\frac{7}{10}<\frac{3}{4}[/tex]

Step-by-step explanation:

I did it found it on hope this helps

This graph shows the amount of charge left on my
computer, c, after I have been awake for h hours.


Enter an equation that
describes the relationship
between c and h.

Submit

Answers

Answer:

c= -20h + 90

Step-by-step explanation:

The equation that  describes the relationship  between c and h is:

[tex]c= -20h + 90[/tex]

We have the graph that shows the amount of charge left on  computer, c, after  h hours.

Let us consider two points (h, c) on the graph

(0,90) and (4.5, 0)

Now the equation of the line passing through two points

[tex]\frac{c-90}{h-0} =\frac{0-90}{4.5-0} \\c-90=-20h\\c=-20h+90[/tex]

So, the equation that  describes the relationship  between c and h is:

[tex]c= -20h + 90[/tex]

Learn more:https://brainly.com/question/16934180

Ted weighs twice as much as Julie Mike was three times as much as Julie together Ted Mike and Julie weigh 210 lb what is the weight of each person

Answers

Answer: Ted weighs 70 Julie weighs 35 mike weighs 105

Step-by-step explanation:

I looked it up ;-)

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