The x-values that will make the output values of the floor and ceiling functions equal are;
Option A: -8
Option D: 0
The complete question is;
At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = ⌈x⌉ equal? Check all that apply.
A) –8
B) –5.2
C) –1.7
D) 0
E) 2.4
When it comes to floor functions and ceiling functions, they are always equal to each other when the x value is an integer.
Now, looking at the giving options the only integers we have are -8 and 0.
Thus, the only values in the options that would make the output values of the floor function and ceiling function equal are -8 and 0.
Read more on floor function and ceiling function at; https://brainly.com/question/7321190
Please help with this!!
Answer:
#1.---60% #2.---$12.60 per hour
Step-by-step explanation:
#1. Since It was originally $50 you have 50% already, so what I did was I multiplied 50 by 2. this got me 100 which is a simpler way to calculate by. 50 to 80 dollars is a $30 change, so multiply that by 2 and you get 60. 60 will be your percent of change. You can double check this by multiplying 50 by .60, the answer will be 30 and 50+30=80
#2 Since Tyler starts off with $12 per hour with a 5% increase you will need to multiply 12*.05 this will get you the answer of 0.6 you then need to add $12, since that was his original payment. 12+0.6=12.60, so his final payment would by $12.60 per hour
Write as a single fraction in its simplest form.
[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]
Help I give brainly
The acute angles of a right triangle measure (48 - x) and (3x – 10). What is the value of x?
Answer:
[tex]\huge\boxed{\sf x = 26}[/tex]
Step-by-step explanation:
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
So, we get:
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
Step-by-step explanation:
x=26
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
So, we get:
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
Hope this helped!
The perimeter of the figure is given. Find the length of the indicated side. 4x -4 is one side what's the unknown slide the figure is a rectangle Perimeter = 12x + 4 The length of the indicated side is
Answer:
2x+6
Step-by-step explanation:
Perimeter of a rectangle= 2(length + width)
12x+ 4= 2(length + 4x-4)
2(6x+2)= 2(length + 4x-4)
divide both sides by 2
6x+2= length+4x-4
length = 2x +6
Write the following in simplified radical form.
Step-by-step explanation:
I think the answer is like this
please help me asap!!!
ty :)
Answer:
the desired line is y = 3x - 4
Step-by-step explanation:
The slope formula is not needed here. If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.
Find the y-intercept as follows:
y = mx + b => 5 = 3(3) + b, or b = -4
Then the desired line is y = 3x - 4
Find the distance between the origin and (-12,-9)
Answer:
Distance (d) = 15
Step-by-step explanation:
The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]
Let (x₁, y₁) = (0, 0)
(x₂, y₂) = (-12, 9)
Substitute these values into the distance formula.
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}[/tex]
Perform the required subtraction within each parenthesis:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}[/tex]
Next, take the squared values of -12 and 9 under the radical:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}[/tex]
Add 144 and 81:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}[/tex]
Distance (d) = 15
Answer:Therefore, the distance between the point of origin and (-12, 9) is 15.
does anyone know the account brookebyewater?
Yes it's an account of a person on brainly- they're rank is "expert".
Hope this helped you-have a good day bro cya)
Can someone please help me with this
Answer:
Ted's Organic Market
Step-by-step explanation:
Calculate the unit cost ( price per pound )
From the table using $16.50 for 6 lbs , then
unit cost = $16.50 ÷ 6 = $2.75
From the graph using $8.40 for 3 lbs , then
unit cost = $8.40 ÷ 3 = $2.80
Ted's Organic Market has the better price
Find the area of the figure and type your result in the empty box
Answer:
where is the question ⁉️
What is the missing number in the table? x 1 2 3 4 5 y 6 36 216 ??? 7,776 252 396 864 1,296.
The missing number in the table is 1296
The y-values of the table form a geometric sequence as shown:
6, 36, 216,......
The nth term of a geometric progression is expressed using the formula;
[tex]T_n=ar^{n-1}[/tex]
a is the first term = 6r is the common ratio = 36/6 = 216/36 = 6n is the number of terms = 4 (since we need the 4th term)Substitute the given parameters into the formula:
[tex]T_5=6(6)^{4-1}\\T_5=6(6)^3\\T_5=1296[/tex]
Hence the missing number in the table is 1296
Learn more on geometric sequence here; https://brainly.com/question/1509142
Answer:
1296
Step-by-step explanation:
PLEASE HELP.
True or False
The graph of an exponential function, y=ab^x produces an asymptote at the line y=0.
What is the following sum in simplest form? StartRoot 8 EndRoot 3 StartRoot 2 EndRoot StartRoot 32 EndRoot 3 StartRoot 8 EndRoot 3 StartRoot 2 EndRoot 5 StartRoot 42 EndRoot 9 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot StartRoot 32 EndRoot.
The sum of the equation is [tex]9\sqrt{2}[/tex] and it can be determined by using addition and it can be determined by summation rule in the equation.
Given that,Equation; [tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]
We have to determineThe sum of the equation.
According to the question,To determine the sum of the equation following all the steps given below.
Equation; [tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]The sum of the equation is determined by factorizing the equation,
Then,
The sum of the equation is,
[tex]=\sqrt{8} +3\sqrt{2} +\sqrt{32}\\\\= \sqrt{2\times 2\times2 }+ 3\sqrt{2} +\sqrt{2\times 2\times2 \times 2\times2 }\\\\= 2\sqrt{2} + 3\sqrt{2} + 2\times 2\sqrt{2} \\\\= 2\sqrt{2} + 3\sqrt{2} + 4\sqrt{2} \\\\= 9 \sqrt{2}[/tex]
Hence, The required sum of the equation is [tex]9\sqrt{2}[/tex].
For more details about Addition refer to the link given below.
https://brainly.com/question/25996972
Find three consecutive odd integers whose sum is 45
Answer:
13, 15, 17
Step-by-step explanation:
First divide 45/3=15
Then since 15 is odd, subract by 2 to get 13 and add 2 to get 17.
Finally add up 13+15+17 to get 45.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
7/20
Step-by-step explanation:
7 / 20 0.35
Answer:
7/20
100/20=5
7*5=35.
please help NEED NOW
thank youuu
A.
y= -2x + 4 is the answer
Answer: Answer A
Step-by-step explanation:
Since the y-intercept is 4 and the graph is rising to the left meaning there is a negative slope, the answer is A
A 20-foot piece of metal is cut INTO pieces that each measure 1 1/4 feet. How many pieces are there after the cut?
A. 16
B. 25
C. 18.75
D. 5
Answer:
I believe the answer is 16 Don't get mad if incorrect just trying my best
Answer:
A. 16
Step-by-step explanation:
If a 20 ft piece of metal is cut in 1 1/4 feet pieces you would divide the total length (20) by each of the pieces length (1 1/4) to find the answer. 20 ÷ 1 1/4 = 16.
Which of the following is the contrapositive of the conditional below?
If 3 + 4 = 6, then 2 · 5 = 10.
If 2 · 5 = 10, then 3 + 4 = 6.
If 2 · 5 ≠ 10, then 3 + 4 ≠ 6.
If 3 + 4 ≠ 6, then 2 · 5 ≠ 10.
If 3 + 4 ≠ 6, then 2 · 5 = 10.
Answer:
If 3 + 4 ≠ 6, then 2 · 5 = 10.
Step-by-step explanation:
To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain." If p , then q .
Share 120 in the ratio 3:5:7
Answer:
24:40:56
Step-by-step explanation:
3+5+7=15
120/15=8 1 Ratio is 8
3x8=24
5x8=40
7X8=56
i dont know if its the easiest method
If 8 drinks cost 12 dollars how much will 12 drinks cost
Hello there for this problem we can make a proportion
[tex]\frac{8\:drinks}{12\:cost}=\frac{12\:drinks}{x}[/tex], we are trying to find how much x is
cross multiply and we get that [tex]8x=144[/tex]
divide both sides by 8 and we get [tex]x=18[/tex], 12 drinks would've cost 18 dollars
Answer:
1 drink = 12 ÷ 8
= 1.5
So 12 drink = 12 × 1.5
= 8 dollars
An artificial soccer pitch is 91 meters long and 43 meters wide. If the cost of the pitch is AED 20 per square meter. What is the cost of installing the pitch????
The Cost of installing the artificial soccer pitch is $5360
A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.
The soccer pitch us rectangle in shape. Hence:
Perimeter of soccer pitch = 2(length + width) = 2(91 + 43) = 268 meters
Cost of installing the pitch = $20 per meter * 268 meters = $5360
The Cost of installing the artificial soccer pitch is $5360
Find out more on perimeter at: https://brainly.com/question/16596982
how many 7 digit numbers are there where all the digits are different and are in increasing order
Answer:
36
Step-by-step explanation:
Usually, when we talk about an n-digit number, we mean one that has no leading zeros. If we use all 9 non-zero digits, the single number having increasing digits is ...
123456789
We cannot swap any digits and have the digits remain in increasing order. The only thing we can do to create different numbers is remove different pairs of digits.
There are 9C2 = 9·8/(2·1) = 36 different ways to choose 2 digits from 9. Thus, there are 36 possible 7-digit numbers with the digits in increasing order.
__
Additional comment
The first few are 1234567, 1234568, 1234569, 1234578, 1234579, 1234589, ...
Which lines are the directrices of the ellipse? x = â’4. 25 and x = 8. 25 x = â’3. 25 and x = 9. 25 y = â’4. 25 and y = 8. 25 y = â’3. 25 and y = 9. 25.
Answer:
ellipse? x = â’4. 25 and x = 8. 25 x = â’3. 25 and x = 9. 25 y = â’4. 25 and y = 8. 25 y = â’3. 25 and y = 9. 25.
solve for x and explain the steps:
3x-6=4(2-3x)-8x
Answer: x = 14/23
Step-by-step explanation:
3x-6=4(2-3x)-8x
3x-6=8-12x-8x --> Expand 4(2-3x)
3x-6=8-20x --> Collect like terms
3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side
3x=-20x+14
3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side
23x=14
[tex]\frac{23x}{23}=\frac{14}{23}[/tex] --> Divide both sides by 23
x = 14/23
Brian buys a computer for £2100.
It depreciates at a rate of 1% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answer:
it will be 1974
Step-by-step explanation:
2100*6/100
=126
Answer:
1997.08 pounds at the beginning of 6 years.
Step-by-step explanation:
If you start at 2100 pounds, and it depreciates by .01 every year, you would start by doing this. It wouldn't just be subtracting 21 each year because the value depreciates and 1% would come off the new depreciated value each year.
1st year - 2100*.01 = 21
2100-21 = 2079
2nd year - 2079*.01 = 20.79
2079 - 20.79 = 2058.21
3rd year - 2058.21*.01 = 20.58
2058.21-20.58 = 2037.63
4th year - 2037.63*.01 = 20.38
2037.63-20.38 = 2017.25
5th year - 2017.25*.01 = 20.17
2017.25 - 20.17 = 1997.08
6th year - at the beginning of the 6th year, it would be worth 1997.08.
At the end of the 6th year, it would be: 1997.08*.01 = 19.97. 1997.08-19.97 = 1977.11
Sally saved 65% of her pay check. If she made $500, how much did she save?
Answer: 325 dollars
Step-by-step explanation:
In order to find out a percentage of somethin, you can simply multiply and divide
[tex]500*65=32500[/tex]
32500÷100= 325
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
8/9 = 24/27
8/9 = 56/63
24 and 63 are the answers
heres a list of numbers 8,7,12,7,11,10,7,12Find median,mean,range and mode
Answer:
There it gose
Step-by-step explanation:
the ratio to boys to girls in sixth grade is 5:3 if their are 400 sixth graders how many boys are their
Answer:
250 boys
Step-by-step explanation:
sum the parts of the ratio, 5 + 3 = 8 parts
Divide the total by 8 to find the value of 1 part of the ratio
400 ÷ 8 = 50 , then
number of boys = 5 × 50 = 250
Answer : There is 250 boys in the sixth grade
Step - by - step explanation :
400 / [ 5 + 3 ] = 400 / 8 = 50
50 x 5 <-- The ratio of boys = 250
a force of magnitude 10n is applied in the directions 3i-4j to displacement point of action from A to B of position vectors 2i+j,5i-2j respectively. Find the work done.
An object at point A moving to point B is displaced in the direction of
r = (5i - 2j) m - (2i + j) m = (3i - 3j) m
(I assume distance is measured in meters)
If the force is F = (10 N) (3i - 4j), then the work performed by F in the direction of r is
F • r = (10 N) (3i - 4j) • (3i - 3j) m = (10 N) (9 + 12) m = 210 J