Answer:
we can say that f and g are inverses of each other because f(g(x)) = x and g(f(x)) = x
Step-by-step explanation:
We need to confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
We have
[tex]f(x)= \frac{8}{x}\\g(x)=\frac{8}{x}[/tex]
Now, finding f(g(x))
Put x = 8/x in f(x)
[tex]f(g(x)) =\frac{8}{\frac{8}{x} }\\=8\div \frac{8}{x}\\=8 \times \frac{x}{8}\\=x[/tex]
So, we get f(g(x))=x
Now, find g(f(x))
Put x = 8/x in g(x)
[tex]g(f(x)) =\frac{8}{\frac{8}{x} }\\=8\div \frac{8}{x}\\=8 \times \frac{x}{8}\\=x[/tex]
So, we get g(f(x)) = x
Therefore we can say that f and g are inverses of each other because f(g(x)) = x and g(f(x)) = x
5
4
3
2
1
0
-2 -1 0 1
5
-2
b =
m =
Inequality =
Answer:
Step-by-step explanation:
5
4
3
2
1
0
-2 -1 0 1
5
-2
b =
m =
Inequality = 5.0?
What is the least common multiple of the two denominators?
6/8, 4/32
Answer:
8
Step-by-step explanation:
6/8 and 4/32
Simplify each fraction
6/8
Divide the top and bottom by 2
= 3/4
4/32
Divide the top and bottom by 4
= 1/8
We have 3/4 and 1/8
Bot 4 and 8 go into 8
I Hope This Helps :)
Answer:
8
Step-by-step explanation:
The LCM is 2x2x2=8 2 x 2 x 2 = 8
Triangle PQR is reflected over the x-axis. What are the coordinates of Q’ ?
Answer:
q(8,2)...............
Help!! 10 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
36.6
Step-by-step explanation:
Use the Distributive Property to solve the equation
5x - 3(x-3)=-6+6x-5
Will give out brainlist only if you get it right
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The distributive property lets us eliminate parentheses on the left.
5x -3x +9 = -6 +6x -5
Collecting terms, we get ...
2x +9 = 6x -11
Subtracting 2x leaves ...
9 = 4x -11
Adding 11 gives ...
20 = 4x
Finally, dividing by 4, we have the solution ...
5 = x
12 = x + 3 add and sub
Answer:
do you have to solve or x?
17 - 3/7 - what’s the answer
Answer: 16 4/7
Step-by-step explanation:
Instead of subtracting a fraction from a whole number you could change the whole number into a fraction...
17= 16 7/7, which has the same value as 17
16 7/7- 3/7 equals 16 4/7
(7-3= 4)
John is planning a party for this weekend. He has budgeted $35 for drinks. If each 2 liter of
soda costs $1.99 how many 2 liters can John buy?
the answer to that question is about 17 2 liters
Answer: 17
Step-by-step explanation: 1.99.x 17 = $ 33.83 which is the closest you could get without going over his budget
A recipe use 5 cups of flour for every 2 cups of sugar .a.how much sugar is used for 1 cup of flour? b.how much flour is used for 1 cup of sugar?c.how much flour is used with 7 cups of sugar ? d.how much sugar is used with 6 cups of flour ?
Answer:
1 cup of sugar per 2.5 cups of flour.
2.5 cups of flower per 1 cup of sugar.
17.5 cups of flower is used with 7 cups of sugar.
1.6 cups of sugar is used with 6 cups of flour.
Step-by-step explanation:
In which table is Y a nonlinear function of X? Please help.
What’s all the prime numbers between 20 and 40
Answer:
Step-by-step explanation:
23, 29, 31, 37.
:))
Step-by-step explanation:
All the prime numbers between 20 and 40 are ⤵
23, 29, 31 , 37
Hope it will help :)
12. The Williams family ate dinner at Olive Garden. The
total bill was $76. They left a tip that was 18% of the bill.
How much did the Williams family pay, including the tip?
A. $76.00
B. $76.18
13.6f
C. $89.68
+
76
D. $62. 32
Answer:
$89.68 was their total bill (bill + tip)
Step-by-step explanation:
Turn the percentage into a decimal:
76 x 0.18 = 13.68
13.68 is the tip of their total bill. Now, add the tip and the total bill cost together.
13.68 + 76 = $89.68
Peter and Flopsy are Mairies pet bunnies. Peter is one year older than four times Flopsy's age. The sum of their ages is 19. How old is each bunny ?
Answer: See explanation
Step-by-step explanation:
Let Flopsy's age be represented by x.
Therefore, since Peter is one year older than four times Flopsy's age. Peter's age will be:
= (4 × x) + 1
= 4x + 1
We are further told that the sum of their ages is 19. This will be:
x + 4x + 1 = 19
5x + 1 = 19
5x = 19 - 1
5x = 18
x = 18/5
x = 3.6 years
Flopsy's age = 3.6 years
y = 4x + 1
= 4(3.6) + 1
= 14.4 + 1
= 15.4 years
Peter's age = 15.4 years
7/12 equivalent decimal
Answer:
0.583
Step-by-step explanation:
We know that
[tex]\frac{7}{12}[/tex]
is the same as
7÷12
Then using
Long Division for 7 divided by 12
and rounding to a Max of 3 Decimal Places gives us
=0.583
Whiskers the cat weighs 2 and 2/3 kg. Piglio weighs 4 kg.
How many times as heavy as Whiskers is Piglio?
Answer:
1 1/2kg
Step-by-step explanation:
So we have to do the inverse operation thing, so our equation is:
4 ÷ 2 2/3 = 1 1/2
So Whiskers is 1 1/2 times as heavy as Piglio
Answer:
Whiskers is two-third times as heavy as piglio is
Step-by-step explanation:
A delivery truck traveled 1/4 of its route in 2 hour how long will it take to complete one route
38% of the animals are dogs. 40% of the animals are spotted. 12% of the animals are spotted dogs. What percent of the animals in the store are spotted or dogs? O A. 54% O B. 66% O C. 78% O D. 80%
Answer:
C.78%
Step-by-step explanation:
Answer:c.78%
Step-by-step explanation:
Karen spent $36 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the total did she spend on fruit?
Answer:
45%
Step-by-step explanation:
36/80=45%
Must Buy Electronics has a storage room that is 18 ft long, 14 ft wide and 8 ft high. The store
is going to put their over stock of flat screens in this room. The flat screens come in boxes that
are 6 ft long, 2 ft wide and 4 ft high. How many flat screen boxes can can they store
Answer:
18 X 14 X 8 = 2016 cubic ft
6 X 2 X 4 = 48 cubic ft
2016/48 = 42
they can store 42 boxes
Similar triangles really need help quick
Answer:
SAS
i think! hope it helps.
Please help me with this homework
If a figure is rotated 360°, how does the image compare to the preimage?
Fiona has a goal to ride her bike at a constant speed for 2 hours. To see if she is meeting her goal, she plans to check her distance at 1, 1.5, and 2 hours. She makes a graph to see what these distances should be. Label the x-axis starting at 0 and going by .5’s. Label the y-axis starting at 0 and counting by 3’s. Plot the point (1,6) on the graph. What points should she plot for 1.5 and 2 hours? Explain your thinking. Remember to label your axes with both numbers and words.
Answer:
6.3
Step-by-step explanation:
Drake bought a shirt that originally cost $40 at a 30% discount. How much discount did he get from the original cost of the shirt?
Answer:
$12 discount
Step-by-step explanation:
$40x0.30=12
Round 21.25 to the nearest hundredth
Answer:
The answer would be 21.25
so it would just stay the same because the number
2 is in the tens place
1 is in the ones place
.
2 is in the tenths place
5 is in the hundreths place
How do you compute the volume of a partially filled cylinder on its side by knowing the height of the fluid on a vertical diameter measuring stick?
Solution :
Since, we can measure the height of fluid. Let it be h.
So height of cylinder is double the height i.e. 2h because cylinder is partially filled.
Also, we can also measure diameter. Let it be d.
Now, we know, radius is haft the length of diameter.
So, r = d/2.
Volume of cylinder is given by :
[tex]V =\pi \times radius^2 \times height \\\\V =\pi\times (\dfrac{d}{2})^2 \times 2h\\\\V = \dfrac{ \pi d^2 h}{2}[/tex]
Hence, this is the required solution.
Rocco went bowling with $40 to spend. He rented shoes for $7 and paid $6 for each game. What was the greatest number of games Rocco could have played?
Answer: 5
Step-by-step explanation:
Let x = the number of games Rocco played.
Rent of shoes = $7
Charge per game = $6
Total Charge = 6x+7
As per given,
[tex]6x+7 \leq40\\\\\Rightarrow\ 6x\leq 40-7\\\\\Rightarrow\ 6x\leq33\\\\\Rightarrow\ x\leq\dfrac{33}{6}\\\\\Rightarrow\ x\leq5.5[/tex]
Hence, the greatest number of games Rocco could have played = 5
Nathan biked 54 miles in 4.5 hours what was Nathan average speed in miles per hour what is 54 divided by 4.5
Answer:
This means that Nathan's average speed was 12 miles per hour.
Step-by-step explanation:
54 divided by 4.5 is 12
Due 01/22/2
3.3.PS-7
Question Help
Car Survey In a survey of 1,300 people who owned a certain type of car, 780 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
60%
Step-by-step explanation:
i dont know how to give an explanation on this, my teacher just said the other day in class that 780 is 60% of 1300.
The width of a rectangle varies inversely with its length. If the width is 4 when the length is 18, find the width when the length is 8
Answer:9
Step-by-step explanation:
Based on the calculations, the new width of this rectangle is equal to 9 units.
How to calculate the new width?Mathematically, the inverse relationship between width (w) and length (l) is given by:
w α 1/l
w = k/l
k = wl
Given the following data:
Width A = 4 units.Length A = 18 units.Substituting the given parameters into the formula, we have;
k = 4 × 18
k = 72.
Now, we can determine new width:
w = k/l
w = 72/8
Width, w = 9 units.
Read more on inverse relationship here: https://brainly.com/question/14544356
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