1 is C
2 is D
3 is C
4 is A
5 is D
5 is A
7 is B
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]
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%
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
HELP I WILL GIVE BRAINLEST
Step-by-step explanation:
smallest value 30° largest value 150°.
Answer:
30, 150
Step-by-step explanation:
sin θ = 1 / 2
sin 30 = 1 / 2
θ = 30
So,
the smallest value of θ is 30.
sin ( 180 - 30 ) = sin 150 = 1 / 2
So,
the larger value of θ = 150.
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
help its do in 15 mins
Answer:
Step-by-step explanation: its 7
what is 2 2/3×3 1/4 as a fraction form
Answer:
8 2/3
Step-by-step explanation:
2 2/3×3 1/4
Change to improper fractions.
2 2/3=8/3
3 1/4=13/4
8/3x13/4=26/3
=8 2/3
Hope this helps :)
solve pls brainliest
Answer:
0.43%
5.4
Step-by-step explanation:
To convert 0.0043 to a percentage, multiply the number 0.0043 by 100
0.43%
In decimal form, 540 percent equals
5.4
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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╲┃╮┃┃╭╮┃┃╭╮┃┃╲╲
╲┃╯┃┗┻┻┛┗┻┻┻┻╮╲
╲┃◯┃╭╮╰╯┏━━━┳╯╲
╲┃╭┃╰┏┳┳┳┳┓◯┃╲╲
Brainliest?
Khloe invests money in an account paying a simple interest of 7% per year. If she
invests $140 and no money will be added or removed from the investment, how much
will she have in one year, in dollars and cents?
Answer: $149.8
Step-by-step explanation:
Find the 1% of the 140 which is 1.4 because 140/100 = 1.4
Times by 7 to get 7%. 1.4 x 7 = 9.8
Add them together. 140+9.8 = 149.8
solve pls brainliest
Answer: 1 is none 2=A 3=B 4=C
Step-by-step explanation:
see it in shapes
Answer:
1. none
2. a
3. b
4. c
Step-by-step explanation:
1: This represents the net of a triangular prism, for it has a square in the middle, two triangles, and two other squares/rectangles. However, there is no triangular prism among the three solids, so the answer for this is none.
2: This represents the net of a cone, for it has a circle as the base and a sector that gives the cone it's curved surface. There is one cone among the three solids, and the answer for this one is A.
3: This represents the net of a tetrahedron, for it consists of 4 equilateral triangles and having one of the triangles as its base. Therefore, the answer for this one is B.
4: This represents the net of a square pyramid, composed of a square as the base and 4 triangles surrounding it. There's one square pyramid among the answer choices, so the answer for #4 is C.
Help guys I need this right now lol I lose credit
Answer:
Answer Below
Step-by-step explanation:
7: Not congruent; Only one angle and only side is shown for each triangle
8: ASA; Two angles shown with a side put in-between
9: SSS; Should be self-explanatory (only sides are shown)
10: ASA; Angles with side shoved between
11: Not Congruent; Triangles are separated and only one side are shown
12: Not Congruent; Angles said to be congruent are on different angles
(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)
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
Does anybody like anime ??
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.
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:
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
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
What is the slope of the graph?
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
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.
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
What is the base of 5^4?
Answer:
5 is the base
4 is the exponent
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
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]
what's the power. ......
Answer:
Rate of DOING WORK is called power
Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10
Step-by-step explanation:
x = -2 and x = -5
x + 2 = 0 and x + 5 = 0
(x + 2)(x + 5) = 0
x² + 5x + 2x + 10 = 0
x² + 7x + 10 = 0
Option → B
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)
Please help, this is timed :))
This is the right answer