Answer:
f(x) = 1/x
Step-by-step explanation:
h(x) = f(g(x)) = f(x-6) = 1/x-6
1/x-6 could only be accomplished if f(x) = 1/x
Assuming f(x) = 1/x and g(x) = x-6, f(g(x)) = f(x-6) = 1/x-6
Since f(g(x)) = 1/x-6 = h(x), we've proven that f(x) = 1/x.
The given functions are illustrations of a composite function, where the function f(x) is:
[tex]f(x) = \frac{1}{x}[/tex]
Given that:
[tex]h(x) = \frac{1}{x - 6}[/tex]
[tex]g(x) = x - 6[/tex]
f o g can be written as f(g(x))
So, we have:
[tex]h(x) = f(g(x))[/tex]
Rewrite as:
[tex]f(g(x)) = \frac{1 }{x - 6}[/tex]
Substitute g(x) for x - 6
[tex]f(g(x)) = \frac{1 }{g(x)}[/tex]
Replace g(x) with x
[tex]f(x) = \frac{1}{x}[/tex]
Hence, the function f(x) is: [tex]f(x) = \frac{1}{x}[/tex]
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If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?
Answer:
Rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.
Step-by-step explanation:
Given that there are 125 boxes of prescription bottle labels at the beginning of the inventory cycle, and 25 3/4 remain at the end of it, to determine how many boxes of labels remain the following calculation must be performed:
3/4 = 0.75 + 25 = 25.75
125 x 25.75 / 100 = X
3218.75 / 100 = X
32.1875 = X
Thus, rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.
Measure these angles.
a)
b)
Answer:
Step-by-step explanation:
Angle A = 55 degrees. Angle B = 61 degrees.
The measure for part a is 55 degree.
The measure for part b is 61 degree.
What is Acute Angle?An acute angle is one that is smaller than the right angle. In other terms, an acute angle is formed by an angle less than 90 degrees. Polygons with at least one sharp angle include triangles, parallelograms, trapezoids, and so on.
An acute angle is one that is smaller than 90 degrees in length. This is a smaller angle than the right angle (which is equal to 90 degrees).
Given:
from the Figure we can see that the both angles are less than 90 degree i.e., Right angle.
Also, we know that Angles which are less than 90 degree is acute angle.
So, the both angles are less than 90.
The measure for part a is 55 degree.
and, the measure for part a is 61 degree.
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Acellus
Find the total surface area of this cone.
Leave your answer in terms of 7.
25m
-- 8m
SA = [ ? ]m2
Enter
Answer:
the answer is 264
Step-by-step explanation:
Question 15
Tessa made 14 out of 22 free throw attempts in the first half of practice and 22 out of 28 attempts in the second half of practice. What is her free throw average for the whole practice, written as a decimal? PLEASE HELP, I NEED IT QUICK!! 30 POINTS FOR IT
Answer:
0.71
Step-by-step explanation:
1st attempt = [tex]\frac{14}{22} = 63%[/tex]%
2nd attempt = [tex]\frac{22}{28} = 79%[/tex]%
To get the average of something, find the sum of the numbers and then divided the sum by the total number of values there are.
⇒ 63 + 79 = 142
⇒ 142 / 2 = 71%
⇒ 71% = .71
During one year, the Greens real estate bill included $364 for city services. The fire department received 56% of that amount. How much money went to the fire department?
Answer:
$203.84
Step-by-step explanation:
56% of 364 is 203.84 so that's how much they got
The family size bottle of sunscreen holds 12 fluid ounces (fl oz) of sunscreen. the regular bottle holds 75% less. how many fewer fluid ounces does the regular bottle hold?
Answer:
9
Step-by-step explanation:
12×0.75=9
concert tickets cost $30,$40 or $50 if you buy a ticket online you pay an extra $3 as a booking fee. what percentage of each tickets price is the booking fee?
Answer:
$30 = 10%
$40 = 13.34%
$50 = 16.67%
Step-by-step explanation:
To find the answer you divide the cost of the ticket by the booking fee to get your answer.
The booking fee of $30 is 10%,$40 is 7.5% and $50 is 6%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths.
The percentage of x of the y is given as,
x/y × 100
Thus, a percentage of $3 of $30 will be,
3/30 x 100 = 10%
The percentage of $3 of $40 will be,
3/40 x 100 = 7.5%
The percentage of $3 of $50 will be,
3/50 x 00 = 6%.
Hence "The booking fee of $30 is 10%,$40 is 7.5% and $50 is 6%".
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3(x + y) (2x - 3y) + (x + y)×2 factorize
Answer:
(x + y) (6 x - 9 y + 2)
6 x^2 - 3 x y + 2 x - 9 y^2 + 2 y
1\/24 (12 x - 3 y + 2)^2 + 1\/24 (-225 y^2 + 60 y - 4)
Step-by-step explanation:
its one of these 3 answers
Which expression is equivalent to 7^k^2 where k is an even number?
Answer:
49k
Step-by-step explanation:
There are 16 ounces in 1 pound. Learn to convert pounds to ounces.
Answer:
Since the are 16 ounces in a single pound, when converting there be 16 ounces for every pound.
Step-by-step explanation:
For example 1 pound = 16 ounces
2 pound = 32 ounces
3 pound = 48 ounces etc.
find the variance of 4 9 12 15 6 5
Answer:
18.7
Step-by-step explanation:
fhfhdhsuxudjdejdhdjdjx
evaluate -L{te-1 sin at}
Answer:
???????????????
hmmmmm
......,...
(giving brainiest)
tell how you solved the question
Answer:
b
Step-by-step explanation:
volume = L x W x H
A. 4 x 7 x 8 = 224
B. 8 x 5 x 6 = 240
then you compare the number and see which one is greater
To find volume of a box you use the equation V= L*W*H
Box A-8*7*4= 224 in^3
Box B-6*5*8=240 in^3
Box b has a larger volume
Which is the value of the rational expression 6-x/x+5 when x=2
Answer:
4/7
Step-by-step explanation:
6-x/x+5 let us take x=2
6-2/2+5=4/7
I need to know the area of this triangle
Answer:
the area is 4 square
Step-by-step explanation:
beacuse of the shape
pls help due in one min
Daniel hiked
4
5
8
miles on Saturday and
4
1
2
miles on Sunday. How many miles did he hike in all?
A.
8
3
5
miles
B.
8
3
4
miles
C.
9
1
8
miles
D.
9
1
2
miles
Answer:
the answer isnt on there it would be 870 miles
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
(I SUCK AT MATHS)
If 15 metres of rope costs £22.50, how much would 12 metres cost?
Answer:
$18
Step-by-step explanation:
22.50×15=1.50
1.50×12=18
Can you guys help me and answer this math question below
Answer:
point D
Step-by-step explanation:
4 would be the x axis so look horizontal, 5 is on y axis (y to the sky) so look vertically for 5
Answer: Point D
===============================================================
Explanation:
We start at the lower left corner, which is the location (0,0)
Then we move to the right four spaces to arrive at (4,0) which is where point L is at right now.
Lastly, we move 5 units up to get to (4,5) which is where point D is located.
Each (x,y) point can be thought of as an address so we can quickly communicate a point's location to someone, even if they don't have the visual in front of them. You can think of it like latitude and longitude. The game of battleship uses a similar concept, but it uses letters as the first coordinate.
A bicycle wheel makes five rotations. The bicycle travels 43.18 ft. Find the diameter of the wheel in inches. Use 3.14 for π.
Answer:
Step-by-step explanation:
x=5c, c=3.14d
x=5(3.14)d
d=x/15.7, x=43.18ft
d=43.18/15.7
d=2.75ft
The 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
Whose plan would you recommend? Explain.
To raise the amount of $500 each member has to raise $50.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
The amount for each person will be,
Amount = 500/10
Amount = $50
Therefore, to raise the amount of $500 each member has to raise $50.
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ten is equal to two times a number plus 3.6.
Answer:
3.2
Step-by-step explanation:
Make an equation!
10=2x+3.6
isolate the variable:
6.4=2x
divide by 2
3.2=x
i hope this helps!
Answer:
3.2
Step-by-step explanation:
10= 2x + 3.6
subtract 3.6 from both sides
2x = 6.4
divide both sides by 2
x = 3.2
4/5+2/50 find sum and type in whole numbers or fractions
Answer:
Step-by-step explanation:
Least common denominator of 5 , 50 = 50
[tex]\frac{4}{5}+\frac{2}{50}=\frac{4*10}{5*10}+\frac{2}{50}\\\\=\frac{40}{50}+\frac{2}{50}\\\\=\frac{40+2}{50}\\\\=\frac{42}{50}\\\\=\frac{21}{25}[/tex]
There are about 1024 stars in the universe. Each galaxy has approximately the same number of stars as the Milky Way galaxy.
About how many galaxies are in the universe? Write your answer as a power.
Answer:
100
Step-by-step explanation:
c nhjbSASGHDfsJAKDhzksahjbd
Answer:
There are about 10^13 galaxies in the universe
Step-by-step explanation:
Question... factor 28+4x
Answer:
4(7 + x)
Step-by-step explanation:
28 + 4x
4 ⋅ 7 + 4x
4(7 + x)
good luck hope this helps :)
Find the greatest common factor for the terms involved in the polynomial.
In this case, the greatest common factor between 28 and 4 is 4.
So a 4 factors out of this polynomial.
That leaves us with each term divided by 4
inside a set of parentheses.
So we have 4(7 + x).
Now you can check your answer by distributing the 4 through
the parentheses and you will end up with your original polynomial.
A 95% confidence interval for the proportion of American adults who believe that regular exercise is important was computed to be [0.726, 0.780]. Given this confidence interval, which of the following values are reasonable estimates for the proportion of all American adults who believe that regular exercise is important (i.e., the population proportion).
a. 0.730
b. 0.765
c. 0.770
d. 0.795
Using confidence interval concepts, it is found that the reasonable estimate for the proportion of all American adults who believe that regular exercise is important is of 0.753.
What is a confidence interval?
It is the range in which a parameter is expected to be given a confidence level, has format (a,b), and the point estimate of the parameter is the mean between a and b.
In this problem, the interval is [0.726, 0.780], hence, the estimate is of:
(0.726 + 0.78)/2 = 0.753
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9.999 round off to the nearest 1000
Answer:
0
Step-by-step explanation:
9.999 rounded to the nearest 1000 is 0
A number x decreased by 6 is at most 11.
Answer:
17?
Step-by-step explanation:
3
The teacher estimated that she would have 68 students this school year. She actually had 74.
What is the percent error?
A 2.08%
B
6%
8.11%
D 191.89%
Answer:
c
Step-by-step explanation:
ronald has 2 quarters, 4 dimes, 3 nickels, 6 pennies in his pockets. without looking, he pulls a coin out of his pocket. what is the probability that he pulls out a nickel?
What is the difference between 3 and 1 4/6
Answer:
1 2/6
Step-by-step explanation:
