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

A. y= [x] + 3
B. y= [x] -3
C. y= [x] +2
D y= [x] -2

Answers

Answer 1

Answer:

D y= [x] -2

Step-by-step explanation:

The "floor" or "greatest integer" function graphs as a step function with a solid dot at the left end of each step. The point (0, 0) is one of those solid dots. When 2 is subtracted from the function value, the graph is shifted down 2 units so that it looks like the one given.

The given graph is of the equation ...

[tex]\boxed{y=\lfloor x\rfloor -2}[/tex]

_____

Additional comment

The ceiling function ...

[tex]y=\lceil x\rceil[/tex]

graphs as a step function with a solid dot at the right end of each step. There is a solid dot at (0, 0) for this function, as well.

Note that the function symbols have "hooks" above or below the argument to indicate ceiling or floor (respectively). The use of a square bracket [ ] for either of these functions would need to be accompanied by an explanation of the intended meaning. By itself, a square bracket has "hooks" both at the top and bottom, so does not represent either function unambiguously.

Related Questions

Solve for all possible values of x. square root of the quantity x minus 8 end quantity minus 3 equals 1 x = −4 x = 8 x = 12 x = 24

Answers

Answer:

Hello i was going to answer this but someone else answered it and i didnt want to write that much lol.

Step-by-step explanation:

https://brainly.com/question/13457391 hope it helps

what is 3/5 divided by 7/8

Answers

Answer:

24/35

Step-by-step explanation:

3/5÷7/8

The 7/8 changes to 8/7 because of the division

i.e 3/5×8/7

which is 24/35.

[tex] \frac{24}{35} [/tex]

Just flip

PLEASE HELP DUE TODAY

Answers

Answer:

A. Library (2, 3)

B. Park (8, 2)

C. Market (3, 7)

D. Rec Center (4, 10)

E. Pool (6, 6)

F. Movie Theater (9, 9)

G. Ice Cream Shop (5, 4)

4. A, C, D (and possibly G - see notes below in step-by-step)

Step-by-step explanation:

For each coordinate point (x, y), the first number is the x-coordinate (along the x-axis) and the second number is the y-coordinate (up the y-axis).

A. Library (2, 3)

B. Park (8, 2)

C. Market (3, 7)

D. Rec Center (4, 10)

E. Pool (6, 6)

F. Movie Theater (9, 9)

G. Ice Cream Shop (5, 4)

True statements: A, C, D

(I don't know it statement G is correct as the text is half missing.

If it says "Point C is 1 unit left and 2 units up from point D" then it is true.

If it says anything else, it is not true

Answer:

Step-by-step explanation:

A. Library (2,3)

B. Park (8,2)

C. Market (3,7)

D. Rec Center (4,10)

E. Pool (6,6)

F. Movie Theater (9,9)

G. Ice Cream Shop (5,4)

A - correct

B - incorrect

C - correct

D - correct

E - incorrect

F - incorrect

Hope this helps!

what is the eqation of − 152 = 90

Answers

Answer:

x=242

Step-by-step explanation:

-152=90

170000/21. Based on the given conditions,
formulate: 17 / 0.21% Convert the percentage to
decimals: 17/0.0021 M

Answer:

0.21% of 8,095.23=17

Step-by-step explanation:

17÷0.21%

17÷(0.21÷100)

(100×17)÷0.21

1700÷0.21

8,095.238095

ans is 8095.23

hope it helps

which of the following is the equation of a line ine slope-intercept form for a line with slope=5 and intercept=(0,-3)

Answers

Answer:

The equation would be y = 5x - 3

how to do this equation y=2x-10 and 2y=x-8

Answers

Answer:

y=2x-10

2y=x-8

since the second equation equals 2y and the first is y that means the first equation times 2 equals the other one

4x-20=x-8

-x

3x-20=-8

+20

3x=12

x=4

then lets just plug it in

2y=4-8

simplefy

2y=-4

y=-2

(4,-2)

Answer:

[tex](\ln(5), 19-5\ln(5))[/tex]

Step-by-step explanation:

The line can be represented as y=5x-8, so the slope of the line is 5.

The derivative of the curve is:

[tex]\frac{d}{dx} [9+2e^x-5x]\\=\frac{d}{dx} [9]+\frac{d}{dx} [2e^x]-\frac{d}{dx} [5x]\\=2e^x-5\\[/tex]

We need to set that equal to 5 to find the x coordinate of our desired point

[tex]2e^x-5=5\\2e^x=10\\e^x=5\\x=\ln(5)[/tex]

Now, just plug in x in the curve to solve for y:

[tex]9+2e^{\ln(5) } -5\ln(5) = y\\9+10-5\ln(5)=y\\19-5\ln(5)=y[/tex]

Line 5x y = 8 has a slope of 5. This means that the tangent line that runs parallel to this line must also have a slope of 5.

To solve this equation

dy/dx = 2ex 5 is the derivative of the function y = 9 + 2ex 5x. Consequently, 2ex 5 is equal to the slope of the tangent line at any location.

When we set the slope of the tangent line to 5, we obtain:

2ex − 5 = 5

2ex = 10

e^x = 5

Taking the natural logarithm of both sides, we get:

ln(e^x) = ln(5)

x = ln(5)

Therefore, ln(5) is the x-coordinate of the crossing point.

We can enter this value of x into the original function to determine the y-coordinate:

y = 9 + 2e^(ln(5)) − 5(ln(5))

y = 9 + 10 − 5ln(5)

y = 15 − 5ln(5)

As a result, the intersection is at (ln(5), 15 5ln(5)).

To sum up, (ln(5), 15 5ln(5)) is the point on the curve y = 9 + 2ex 5x where the tangent line is parallel to the line 5x y = 8.

Learn more about tangent line here

https://brainly.com/question/33610482

#SPJ3

Help me with this pleaseeeeeeee

Answers

Answer:22 hopes this helps

Step-by-step explanation:

so here the problem look at the numbers -8 and 14

8 is no long a a negative it’s positive

So now you got 8 + 14 = 22

Answer:

22 blocks

Step-by-step explanation:

just simply add 8 and 14 to get your answer :)

which expression is equivalent to 7(6m - 7) + 9?
- 42 + 2
- -7(6m + 7) + 9
- 7 (-7 + 6m) + 9
- -40m + 42

Answers

Answer:

[tex]7( - 7 + 6m) + 9[/tex]

Your school is planning a banquet. The cost of renting a function is $180. The cost of food is $18 for each person. How many people attending the banquet if the total cost was $1,638? Write and solve an equation

Answers

81.

18 x 81 is $1,458 and if you add the $180 it costs to rent the place it totals to $1,638

pls help me with this problem

Answers

Answer:

y = total amount of money in Maria’s savings account.

x= number of days.

you are given the y-intercept (12) and the slope of the equation ( $2/ 1day ).

thus, c = 12

m = 2

substitute these values into slope–intercept form,

y = mx + c

y = 2x + 12

hope this helps you!

-s.

Tell whether the angels are adjacent or vertical. Then find the value of x.

(please show how you solved the problem!)

Answers

Answer:

Angles: adjacent

x = 18

Step-by-step explanation:

Adjacent Angles: angles that border each other to the left/right

Vertical Angles: opposite set of angles that are congruent

Given these definitions, these angles are not only adjacent, but also right angles. Right angles add to 90°.

Thus, 3x + 2x = 90

Step 1: Combine like terms.

[tex]3x + 2x = 90[/tex] [tex]5x = 90[/tex]

Step 2: Divide both sides by 5.

5x ÷ 5 = 90 ÷ 5x = 18

Therefore, the answer is adjacent and x = 18.

I need help on this, will someone try and help me out? PLEASE

Answers

step 1.) Multiply both sides of the equation by -6

step 2.) Sum the equations vertically to eliminate at least one variable

step 3.) Divide both sides of the equation by

step 4.) Substitute the given value of into the equation x - 2y = 10

step 5.) Solve the equation for x

step 6.) The possible solution of the system is the ordered pair (x , y)

step 7.) Check if the given ordered pair is the solution of the system of equations

step 8.) Simplify the equalities

step 9.) Since all of the equalities are true, the ordered pair is the solution of the system

So your answer would end up being (40/13 , -45/13) !! Hope that helps you out :D !!

Answer:

x=4 y=-3

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

x−2y=10 ; 6x+3y=15

Step: Solve x −2y= 10for x:

x − 2y + 2y = 10 + 2y (Add 2y to both sides)

x=2y+10

Step: Substitute 2y+10 forx in 6x+3y=15:

6x+3y=15

6x+3y=156(2y+10)+3y=15

15y+60=15 (Simplify both sides of the equation)

15y+60+−60=15+−60 (Add -60 to both sides)

15y=−45

15y/15=−45/15(Divide both sides by 15)

y=−3

Step: Substitute −3 for y inx=2y+10:

x=2y+10

x=(2)(−3)+10

x=4(Simplify both sides of the equation)

Answer:

x=4 and y=−3

PLEASE HELP I WILL GIVE BRAINLIEST ITS URGENT!
In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find:
The length of the angle bisector of angle A

Answers

i think the answer is 2.6 ‍♀️

Answer:

∠A is (5/3)√13

Step-by-step explanation:

The cosine of ∠A is [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]

The cosine of half of ∠A is given by the half-angle formula:

cos(A/2) = √((1 +cos(A))/2) = √((1 + 5/13)/2) = √(9/13) = 3/√13

The length of the segment b is found from ...

cos(A/2) = 5/b [adjacent side/hypotenuse]

∠ A = 5/cos(A/2) = 5/(3/√13)

∠ A = (5/3)√13

If Needed in decimal form : 6.01

[RevyBreeze]

A pumpkin pie recipe calls for 30 ounces of pumpkin, 6 eggs, and 2.5 cups of brown sugar to make two pies. How much of each ingredient is required to make five pies?

Answers

Answer:

75 onces 15 eggs and I dont know for the brown sugar

Step-by-step explanation:

At 3:30 p. M. , Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time on a nearby track, Eduardo’s train was traveling at an average speed of 110 miles per hour and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up? 0. 11 hours 0. 25 hours 0. 88 hours 1. 84 hours.

Answers

Answer:

1.84 hours

Step-by-step explanation:

trust me its the right answer

PLEASE HELP ASAP!!!!!! no links please

Answers

9 3/4 acres in 3 3/8 days = 9 6/8 acres in 3 3/8 days

(72 + 6)/8 = 78/8

(24 + 3)/8 = 27/8

78/8 divided by 27/8 = 78/27 = 26/9 or 2 8/9 acres/day

Find the value of x, y, and z in the figure below:
ہ
2y
IN
2x
90°
t

Answers

Answer:

x=30°

y=15°

z=150°

Step-by-step explanation:

2x+90+x=180°

2x=180°-90°

x=90/3

x=30

2y=x

y= 30/2

y=15°

2y°+z°=180°

2(15°)+z°=180°

z=180°-30°

z=150°

Hope it helps! :)

seriously i have no idea

Answers

Answer:

A. <LKM = <LJN

Step-by-step explanation:

A. <JKM = <LJN is not congruent = will NOT prove

B. KM/JN = KL/ML is a valid proportion = will prove

C. JN || KM is congruent = will prove

D. KL/JL = ML/NL is a valid proportion = will prove

What is the effect of removing the outlier 11 from the following data set? (1 point)

{11, 85, 87, 88, 91, 91, 92, 93, 95}

A The mean would increase.
B The median would decrease.
C The interquartile range would increase.
D The median of the lower quartile would stay the same.

Answers

Answer:

A The mean would increase.

Step-by-step explanation:

mean = sum of numbers ÷ how many numbers there are

the mean with the outlier 11:

(11 + 85 + 87 + 88 + 91 + 91 + 92 + 93 + 95) ÷ 9 = 81.4

the mean when removing the outlier 11:

(85 + 87 + 88 + 91 + 91 + 92 + 93 + 95) ÷ 8 = 90.25

the mean has now increased

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Which equation matches the graph of the greatest integer function given below? A. y= [x] + 3 B. y= [x] -3 C. y= [x] +2 D y= [x] -2

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

A. y= [x] + 3
B. y= [x] -3
C. y= [x] +2
D y= [x] -2