Answer:
I think g would be correct
Given: F(x)= 5 x - 6 and G(x)= x - 4
(FoG)^-1=
By definition of inverse function,
[tex]F\left(F^{-1}(x)\right) = x[/tex]
so that
[tex]5F^{-1}(x) - 6 = x[/tex]
[tex]5F^{-1}(x) = x + 6[/tex]
[tex]F^{-1}(x) = \dfrac{x + 6}5[/tex]
Similarly,
[tex]G\left(G^{-1}(x)\right) = G^{-1}(x) - 4 = x \implies G^{-1}(x) = x+4[/tex]
Then the inverse of the composition [tex]F\circ G[/tex] is such that
[tex]\left(F \circ G\right) \left((F \circ G)^{-1}(x)\right) = x[/tex]
By definition of composition,
[tex](F\circ G)(x) = F(G(x))[/tex]
Applying [tex](F\circ G)^{-1}[/tex] to this recovers x, and this involves first inverting F, then G:
[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right)[/tex]
So, we find
[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right) = G^{-1}\left(\dfrac{x+6}5\right) = \dfrac{x+6}5 + 4 = \boxed{\dfrac{x+26}5}[/tex]
A bread recipe uses 3 tablespoons of olive oil for every 1 clove of crushed garlic. Complete this table to show different-sized batches of bread that tastes the same as the recipe. number of batches olive oil (tablespoons) crushed garlic (cloves) 1 3 1 2
Question Blank
type your answer...
2 0.5 1.5
type your answer...
4
type your answer...
4
Answer:
What? I don't understand your question.
Step-by-step explanation:
just no just n oh yeah btw shoot some
Points A,B,C are collinear. explain what is wrong with this picture. Use the linear pair theorem in your explanation
Answer:
hey can u help me with my work i posted i promise ill help u back
Suppose that Nectaria also has 6 chickens. Her neighbor gives her 40 feet of fencing. She must still cut the fencing in lengths that are whole numbers.
What equation can Nectaria write that would allow her to figure out possible dimensions for her chicken pen? Which dimensions would maximize the area of her pen?
EXPLAIN in complete sentences how Nectaria can figure out the possible dimensions for her chicken pen and which dimensions would maximize the area for her chickens.
Answer:
Max area = 100
10 10 sides
Step-by-step explanation:
here given perimeter for fencing is 40 feet
for it to have maximum area sides
sides length is perimeter / 4
so l = 40/4 = 10
so it is 10 × 10 square
Area = 100
This is the maximum area
which item below weighs more
Step-by-step explanation:
Rice = 5¾ kg = 23/4kg = 23/4*1000 g = 5750g
Flour = 5725g
Rice > flour
Answer:
lol its rice
Step-by-step explanation:
Please help, this is timed :))
This is the right answer
Of the 32 teachers at Devon's high school, 22 are female. What is the ratio of the number of male teachers to the total number of teachers?
Write your answer as two numbers separated by a colon (for example, 2:3).
Answer:
10:32
Step-by-step explanation:
32-22=10 male teachers
Helpppppppppppp 70,000x379=????
Answer:
26,530,000
Step-by-step explanation:
this is quite easy, first you can write this question differently
Just view this problem as 7 x 379 which is 2653, now count how many zeros 70,000 has, which is 4 and add it to the answer 2653, which will give you 26,530,000
The multiplication or products of 70,000 and 379 is 26,530,000
How to multiply or find the product of valuesGiven:
70,000 × 379
= 26,530,000
Where from the left,
0 = unit position0 = Ten position0 = Hundred position0 = Thousand position3 = Ten thousand position5= Hundred thousand position6 = Million position2 = Ten million position.In words, 26,530,000 is written as twenty six million, five hundred and thirty thousand.
Learn more about multiplication;
https://brainly.com/question/10873737
What is 52 divided by 2? please help meeeee
A. 16 B. 26 C. 27 D. 36
Answer:
D. 26
Step-by-step explanation:
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╲┃╯┃┗┻┻┛┗┻┻┻┻╮╲
╲┃◯┃╭╮╰╯┏━━━┳╯╲
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Brainliest?
The L.C.M of two numbers is 2079 and their H.C.F. is 27. If one of the numbers is 297, then the other number is:
Step-by-step explanation:
2079 / 297 = 7
that is the first indication about what we need.
but 7 itself can't be the solution, because the solution needs to contain at least a factor of 27.
297 = 27×11
therefore,
2079 = 27×11×7
and the other number must now be
27×7 = 189
because due to the HCF it has to be divisible by 27, but must have another additional factor. a factor that allows it to divide 2079 without remainder, and makes it big enough to block any LCM lower than 2079.
there are only 2 other factors available in 2079 : 11 and 7.
297 has already "taken" 11, and the two numbers cannot be the same (otherwise the LCM and the HCF would be the number itself), so that leaves 7 for the other number.
hence the solution.
the other number is 189
and the other number must then be 27×7 = 189
Airline fares are $200 for first class and $150 for business class. If a flight had
52 passengers who paid a total of $8500. How many first class passengers.
we’re on the trip?
Answer:
14 first class passengersStep-by-step explanation:
Set a system of equations as below:
x + y = 52200x + 150y = 8500Multiply the first equation by 150 and subtract from the second equation.
This will eliminate y, solve for x:
200x + 150y - 150x - 150y = 8500 - 150*5250x = 700x = 700/50x = 14
Paul had 70 fliers to post around town. Last week, he posted 1/5 of them. This week, he posted 5/7
of the remaining fliers. How many fllers has he still not
posted
Answer:
Paul has not yet posted 6 fliers.
Step-by-step explanation:
How many did he post last week? (1/5)(70) = 14
This week? (5/7)(70) = 50
Already posted: 14 + 50 = 64
Not yet posted: 70 - 64 = 6
Like PLS HELP
The system of equations below form a line and a parabola. Select all possible solutions to this system from the answer choice
x+y=5
x^2+y=11
(-2,7)
(7,2)
(3,2)
(2,3)
(5,0)
Answer:
2,3 bro bro and also my leg
Bo has $500 in his savings account. He plans to add $150 to his savings account every month. Recently, he purchased a tractor to use on his farm for $4,000. He plans to pay off the total price of the tractor over time by paying $200 a month from a separate account. How much will Bo have in his savings at the time he pays off the tractor in full? A. $3,500 B. $3,000 C. $2,150 D. $2,000.
Answer:
D. $2,000
Step-by-step explanation:
Found this answer somewhere and it made sense so I hope its correct :D
Answer:
it is 3500 You take 4000 divide by 200 which is 20 months then take 150 times 20 equals 3000 then add 500
Step-by-step explanation:
Is 10x-4 proportional
Answer:
No
Step-by-step explanation:
10x - 4
x = 2/5
Since there is no other equation or expression to set 10x - 4 equal to, it cannot be proportional.
help its do in 15 mins
Answer:
Step-by-step explanation: its 7
(4,1),(8,2) in slope intercept form
Answer
y=1/4x
Step-by-step explanation:
2-1/8-4=1/4
Choose either of these points ( I will use 4,1 becuase it's easier)
1=1/4(4)=b
1=1+b
0=b
y=1/4x (you don't put the zero)
Given that p varies directly as q and
[tex] \sqrt{q} [/tex]
varies inversely with t², show how p varies with t.
Answer:
p varies inversely with t⁴Step-by-step explanation:
Direct variation:
y = kx, where k is constantInverse variation:
y = k/x, where k is constantGiven:
p = kq (1)and
√q = k/t² (2)From the first equation we can see:
kq = p ⇒ q = (1/k)p ⇒ q = np, where n is a constantIt means if p varies directly as q, then q directly varies as p.
Square the second equation:
q = k²/t⁴ = m / t⁴, where m is constantSince p varies directly as q and q varies inversely with t⁴, we can state p varies inversely with t⁴.
what's the power. ......
Answer:
Rate of DOING WORK is called power
The vertices of a triangle are A (-2, 3), B (5, 10), and C (12-4). Find the coordinates of the intersection of the medians.
The intesection of the 2 medians is at __
Answer:
a number
Step-by-step explanation:
not a letter
how many times can 14 go into 97
Answer:
6 time
Step-by-step explanation:
97÷14=6•928
=6 or round it up to 7
Answer:
6
Step-by-step explanation:
97÷14=6.928
6 or round it up to 7
Does anybody like anime ??
What is the base of 5^4?
Answer:
5 is the base
4 is the exponent
Nestle Crunches cost 30 cents and Snickers cost 50 cents. Jessica and Tori
treated the class and they spent $6.80. How many students had Snickers if these
numbered 4 less than those who had Nestle Crunches?
Answer:
7 students had SnickersStep-by-step explanation:
Nestle Crunches - nSnickers - sSystem of equations according to given:
30n + 50s = 680 (converted $6.80 into 680¢)n = s + 4Substitute n into first equation and solve for s:
30(s + 4) + 50s = 68030s + 120 + 50s = 68080s = 680 - 12080s = 560s = 560/80s = 7Equations are
0.30x+0.50y=6.80=>30x+50y=680--(1)x=4+y=>x-y=4-(2)[/tex]EQUATION(2)× 30
[tex]\\ \sf\longmapsto 30x-30y=120--(3)[/tex]
Subtracting (1) and (3)
[tex]\\ \sf\longmapsto 80y=560[/tex]
[tex]\\ \sf\longmapsto y=7[/tex]
Jamie went on a vacation with his family. He spent 32.25% of the total cost on the airline tickets, of the total cost on hotels, and 12.75% of the total cost on food. If he spent of the remaining amount on shopping, what percentage of the total cost was spent on shopping?
Answer:
In my opinion he spent 55%
What is the perimeter of PQR? Show your work.
if [tex]a_{1}[/tex]=10 and [tex]a_{n}[/tex]=[tex]2a_{n-1}[/tex] then find the value of [tex]a_{5}[/tex]
Answer:
a₅ = 160
Step-by-step explanation:
Using the recursive rule and a₁ = 10 , then
a₂ = 2a₁ = 2 × 10 = 20
a₃ = 2a₂ = 2 × 20 = 40
a₄ = 2a₃ = 2 × 40 = 80
a₅ = 2a₄ = 2 × 80 = 160
What is the y-coordinate of the y-intercept of function d(x) ? y=-8(X-(5/2) (X+3)
Answer:
(0,60)
Step-by-step explanation:
I hope I plugged in your equation the right way as you typed it, but this is where the line meets the y coordinate, (0,60)
Pls answer i need help asap lol, No links (30 points + brainly)
How long will it take each student plan to be paid down to $1000?
The corresponding answers for each student plan are:
plan A: 15 years
plan B: 5 years
plan C: 10 years
plan D: 9 years
Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.
Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.
Solve the system by elimination
3x-2y=3
15x-4y=-3
Answer:
x=-1
y=-3
Step-by-step explanation:
3x-2y=3(1)
5.(1) <=> 15x-10y=15 (2)
15x-4y=-3 (3)
(2)-(3) <=> -6y=18