Evaluate the floor function f(x) = ⌊x⌋ for the given input values. F(2) = f(6. 8) = f(–3. 3) =.

Answers

Answer 1
Floor function

The floor function of a number is taken out to get the greatest integer that is less than or equal to the number.

To get the floor of any number assume the y-axis of the graph and on that axis plot the number, when you plot the number, the integer just below that point is known as the floor for that number.

Given to us

function,  [tex]f(x)=\lfloor{x}\rfloor[/tex]

Solutions

a.)  for f(2),

[tex]f(x)=\lfloor{x}\rfloor\\f(2)=\lfloor{2}\rfloor[/tex]

for a whole number, the number itself is the floor of the number. thus, the function will return the value as 2.

b.)  for f(6.8),

[tex]f(x)=\lfloor{x}\rfloor\\f(6.8)=\lfloor{6.8}\rfloor\\f(6.8)=6[/tex]

for the number 6.8, the ceiling will be 6 as 6 is the greatest integer that is less than 6.8.

c.)  for f(-3.3),

[tex]f(x)=\lfloor{x}\rfloor\\f(-3.3)=\lfloor{-3.3}\rfloor\\f(-3.3)=-4[/tex]

for the number -3.3, the ceiling will be -4 as -4 is the integer that will be on the floor when seen on the negative number line.

Learn about Floor function:

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Related Questions

Help me with a question?

Answers

Answer:

I think it's (B)

Step-by-step explanation:

Answer:

x-int: -0.5; y-int: 1

Step-by-step explanation:

We see the intercepts in the graph.

The y-intercept is at 1.

The x-intercept is at -0.5.

Answer: x-int: -0.5; y-int: 1

Pls can u answer this.. and also ima post another one if h can answer that too ❣

Answers

Answer:

Hamid: 4

Ken: 3

Step-by-step explanation:

Start by finding the LCM (least common multiple) of 80 and 60. To do this we can list all the multiples of 80 and 60 until we get a common multiple.

60: 60, 120, 180, 240

80: 80, 160, 240

They both have a common multiple of 240, so after 240 seconds they will meet again at the start line.

Now we need to find how many laps they'll have to run. To do this we can divide 240 by the amount of time it takes for them to run a lap.

240/60=4

240/80=3

Hamid will have ran 4 laps and Ken will have ran 3 laps

HURRY PLEASE, HELP ME THIS IS DUE TOMORROW!!!!

Sandy lives 6 miles from the mall. When she is
2/3 of the way to the mall, she stops to pick up
some books at the library. How many more miles
does she need to travel to arrive at the mall?

Answers

Answer:

2 more miles to the mall...please let me know if this helped

Step-by-step explanation:

2/3*6=4

6-4=2

Help me please-Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Answers

Answer:

The total expenses is $156 is the total necklaces sold is 4.

Step-by-step explanation:

We know that:

x = Necklaces created and sold 140 + 4(x) = Total cost 39x = Profit = Total cost Profit = Total cost

Work:

140 + 4x = 39x => 140 = 39x - 4x => 140 = 35x => x = 140/35 => x = 4

Now, let's substitute the value of x into any equation to find the total expenses and sales.

140 + 4x => 140 + 4(4) => 156

Hence, the total expenses is $156 is the total necklaces sold is 4.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

solve the following 5t - 3 = 3t + 5

Answers

Answer:

t=4

Step-by-step explanation:

5t-3=3t+5 - subtract 3t from both sides

2t-3=5 - add 3 to both sides

2t=8 - divide by 2

t=4

Answer:

t=4

Step-by-step explanation:

+3 to both sides

5t=3t+8

-3t from both sides

2t=8

÷2

t=4

5x4=20-3=17

3x4=12+5=17

a shirt has been increased by 10% to £11 what was the original price

Answers

Answer:

10

Step-by-step explanation:

10+(10/100*10)=11

Can someone help me find out measure, and how to get the answer.

Answers

Answer:

The sum of the measures of the angles in a triangle is 180º

∠1 is in a triangle whose other two angles are marked.

The sum of the measures of those two marked angles is 53º+90º=143º.

The measure of ∠1 is 180º-143º=37º

The angle measureing 53º and ∠2 are supplementary (adding up to 180º)

The measure of ∠2=180º-53º=127º.

Can someone please help me solve this math problem!

Answers

Answer:

a

Step-by-step explanation:

a

Answer:

the answer is b =92

Step-by-step explanation:

mABC is the degree of outside of the angle at B. Just take 360 and minus with mABC and you can get the angle of ABC

(x, 4) and (-5, 6); slope: 10​

Answers

Answer:

x= +5.2

Step-by-step explanation:

x=5.2

slope = y2-y1+ /x1-x2

6-4/x-4= x=5.2


1 : (-4, -2 )
2: ( -2, -4 )
3: ( 2, -4 )
4: ( -4, 2 )

Answers

Answer:

R(—4,—2)

Step-by-step explanation:

Option 1

..............

Answer:

R = 1: (-4, -2)

Determine the center and radius of the following circle equation:
x
2
+
y
2

2
x
+
8
y

32
=
0
x
2
+y
2
−2x+8y−32=0

Answers

Maybe 18 so far as I thinks

You made an 89 on your first exam. You then made a 94 on your second exam. What was the percent of increase in your scores?

Answers

Answer:

The percent increase is about 5.618%

Step-by-step explanation:

[tex]C=\frac{x_2-x_1}{x_1}*100\%[/tex]

[tex]C=\frac{94-89}{89}*100\%[/tex]

[tex]C=\frac{5}{89}*100\%[/tex]

[tex]C=\frac{500}{89}\%[/tex]

[tex]C\approx5.618\%[/tex]

Mia has two whole bananas and one-fifth of a third banana. Write an improper fraction that represents the amount of bananas she has.

Answers

Answer:

Step-by-step explanation:

2 1/5

2×5= 10+1= 11

the denominator should be same which is 5

so the answer is 11/5

Elijah and Riley are playing a board game. Elijah chooses the dragon for his game piece, and Riley chooses the cat for hers.
The dragon is about 1/2inch tall, and the cat is about
7/8 inch tall. The model shows how the heights of the game pieces are related.
\Two bars are shown directly next to each other from left to right. The left bar is labeled How much taller is the cat than the dragon?

Answers

Answer:

3/8

Step-by-step explanation:

The answer would be 3/8 because if you take 7/8 and subtract 1/2 from the height of the cat after finding equivelent denominators you'd get 7/8. hope I helped :)

Answer:

its 3/8

Step-by-step explanation:

What is the value of the expression below when
x
=
10
x=10 and
y
=
4
y=4?
8
x

7
y
8x−7y

Answers

When x=10 y= 4
The answer to this problem 8x-7y is 80-28= 52
The answer is 52

Pls help pls I need help on this

Answers

Answer:

I think it is B

Step-by-step explanation:

Answer:

Choice 4

Step-by-step explanation:

From the question, we know that something divided by 8 is 6. From the choices, we know that the missing number is represented as an x and an n.

We can change the information the question gives us to the equation something / 8 = 6

Choice 4 is the correct one because if we change the “something” to the letter n, it is the same.

I hope this helped and please mark me as brainliest!

Round 8.5 to the nearest whole number.

Answers

Answer:

9

Step-by-step explanation:

9)Deandre runs 4 miles in 30
minutes. At the same rate, how
many minutes would he take to
run 10 miles?

Answers

Answer:

75 minutes or one hour and 15 minutes

Step-by-step explanation:

[] We can set up a ratio and cross multiply to find our answer

    -> x will be the minutes taken to run 10 miles

[] Set up an equation

[tex]\frac{4miles}{30minutes} =\frac{10miles}{x}[/tex]

[] Cross multiply

4x = 300

-> Divide both sides of the equation by 4

x = 75 minutes

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Can someone solve this problem for me?

Answers

The value of x is 125 degrees and y is equal to 75 degrees

To solve this problem, we have to use some theorems on angles.

Sum of Angles

The sum of angles in a triangle is equal to 180 degrees.

Let the unknow side be represented by z

[tex]50+75+z=180\\125+z=180\\z=180-125\\z=55[/tex]

Using the value of angle z, we can solve for x.

x + z = 180 degree

Reason: Angles on a straight line is equal to 180 degrees

[tex]z+x=180\\55=x=180\\x=180-55\\x=125^0[/tex]

The value of x is equal to 125 degrees

From this, we can solve for angle y.

Angle y = 75 degrees

Reason; alternate angles are equal to each other.

from the calculations above, the values of the unknown are

x = 125 degreesy = 75 degrees

Learn more on theorems of angles here;

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A community organization sponsored a trip to a baseball game, offering bleacher seats for $20 and grandstand seats for $30. The organization sold $2600 worth of seating and 100 people attended the game. How many tickets did they sell for each type of seat?

Answers

The number of bleacher seat is 40 and grandstand seats is 60

Data Given;

bleacher seat = $20grandstand seat = $30total amount generated = $2600total number of people in attendance = 100

To solve this problem, we have to write a system of equation.

Let x represent the number of bleacher seat

let y represent the number of grandstand seat

[tex]x + y = 100... equation (i)\\20x + 30y = 2600... equation (ii)[/tex]

From equation (i)

x + y = 100

x = 100 - y ... equation (iii)

Put equation (iii) into equation (ii)

[tex]20x + 30y = 2600\\\\x = 100 - y\\20(100 - y) + 30y = 2600\\2000 - 20y + 30y = 2600\\2000 + 10y = 2600\\10y = 2600 - 2000\\10y = 600\\10y/10 = 600/10\\y = 60[/tex]

Since we know the value of y, let substitute it into equation i and solve for x

[tex]x + y = 100\\x = 100 - y\\x = 100 - 60\\x = 40[/tex]

From the calculations above, the number of bleacher seats is 40 and the grandstand seats is 60

learn more on system of equations here;

https://brainly.com/question/13729904

Given that f(x) = 22 – 13x + 30 and g(x) = x - 3, find (f - g)(x) and
express the result in standard form.

Answers

Answer:

[tex]{ \tt{f(x) = 22 - 13x + 30}} \\ { \tt{g(x) = x - 3}} \\ [/tex]

» Lets feed in the expression given:

[tex]{ \tt{(f - g)x = \{22 - 13x + 30 \} - (x - 3)}} \\ { \tt{ = 55 - 14x}}[/tex]

Answer:

(f - g)(x) = - 14x + 55

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 22 - 13x + 30 - ( x - 3) ← distribute parenthesis by - 1

= - 13x + 52 - x + 3 ← collect like terms

= - 14x + 55

Ten tiles numbered 11 through 1010 are turned face down. One tile is turned up at random, and a die is rolled. What is the probability that the product of the numbers on the tile and the die will be a square

Answers

Answer:

11/60

Step-by-step explanation:

The numbers on the tiles are 1 through 10.

The numbers on the die are 1 through 6.

Products of a number on a tile and a number on the die range from 1 × 1 = 1 to 10 × 6 = 60.

All squares from 1 to 60 are:

1, 4, 9, 16, 25, 36, 49

There are 60 possible products of tile number and die numbers.

The combinations that result in a square are, in order (Tile, Die):

(1, 1), (1, 4)

(2, 2)

(3, 3)

(4, 1), (4, 4)

(5, 5)

(6, 6)

(8, 2)

(9, 1), (9, 4)

There are 11 outcomes out of 60 that are squares.

p(product = square) = 11/60

Answer: 11/60

What is the product of 4 [cos(2pi/3) +i sin(2pi/3)] and 2 [cos(pi/3) + i sin (pi/3)].

Answers

When multiplying two complex numbers in polar form, all you need to do is multiply the moduli and sum the arguments. Let

z = 4 (cos(2π/3) + i sin(2π/3))

w = 2 (cos(π/3) + i sin(π/3))

Then

|z| = 4

arg(z) = 2π/3

|w| = 2

arg(w) = π/3

and so

zw = |z| |w| (cos(arg(z) + arg(w)) + i sin(arg(z) + arg(w)))

zw = 8 (cos(π) + i sin(π))

zw = -8

Ans: D

Step-by-step explanation: Edge

Ben weighs 7.6 kg. His older brother is
3 times as heavy. How much does his
older brother weigh?

Answers

22.8 kg because you just multiply 7.6x3

Which expressions have the same solution as –4(6)? Select three options..
–4(– 6)
4(– 6)
6(– 4)
–8(2)
12(– 2)

Answers

4(-6)
6(-4)
12(-2)
here you go!

Answer:

Step-by-step explanation:

-4 * 6 = -24

Others that have same solutions are:

4*(-6) = -24

6*(-4) = -24

12*(-2) = -24

2 tries left. Please try again.
Which represents a net for a cube with edge length x cm?

Answers

That'sAnswer:A cube has edge length 5 inches. Draw a net for this cube, and label its sides with measurements. ... A second cube has edge length 17 units.

MMMM this is a tricky one A cube has an edge length of 5 inches. Draw a net for this cube, and label its sides with measurements. ... A second cube has an edge length of 17 units.

Step-by-step explanation:Thats my answer

I need this solved, I hate math

Answers

Answer:

What do you need help with?

I am more than welcome to help you!!

Step-by-step explanation:

Last week, Tanya baby-sat 1 1/2 times as many hours as she baby-sat this week. Last week, Tanya baby-sat 12 hours. How many hours did she baby-sit this week?

A. 8 hours
B. 10 1/2 hours
C. 13 1/2 hours
D. 18 hours ​

Answers

Answer:

A 8 hours

Step-by-step explanation:

Last week she baby sat 12 hours.

This week she baby sat x hours.

Last week she baby sat 1 1/2 times as many hours as this week.

12 = 1 1/2 × this week

12 = 1 1/2 × x

1.5x = 12

x = 12/1.5

x = 8

Answer:

A 8 hours

Answer:

The answer is D

multiple fraction 1 1/2 by the numbers of hours last week.(12)

=11/2 *12

change it to an improper fraction

=3/2 *12

multiple numerators

=3*12/2

=36/2

=18 hours Answer is D

PLEASE HELP ME FOR 10 POINTS K12

Answers

Answer:

14

Step-by-step explanation:

3 x (5x5-7) - 8 x 5

3x (25-7) - 40

3x18-40

54-40

The answer is 14

30 POINTS IF SOMEONE ANSWERS CORRECTLY (3X MORE THAN AVERAGE)

Polynomials and factoring

Answers

a. factor A = x^2 -30x + 225 = (x - 15)(x - 15)

side length = (x - 15)

b. add (x - 15) four times = 4(x - 15) = 4x - 60

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