hi <3
i'm assuming you want the expression written out
it would be:
(2/5y + 1/6h) - 2
hope this helps :)
Proving functions are inverses of each other: are these inverses of each other band can you explain why or why not.
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Answer:
a) J(K(x)) = x; K(J(x)) = x; functions are inverses
b) f(g(x)) = 8 -x; g(f(x)) = -x; functions are not inverses
c) f(x) = 4 -x; f^-1(x) = 4 -x. g(x) = x -4; g^-1(x) = x +4
Step-by-step explanation:
a) Substitute for the function argument in the usual way. If the functions are inverses, their composite is the identity function.
J(K(x)) = J(1/3x -2) = 3(1/3x -2) +6 = x -6 +6 = x . . . . functions are inverses
K(J(x)) = K(3x +6) = 1/3(3x +6) -2 = x +2 -2 = x . . . . functions are inverses
__
b) f(g(x)) = f(x -4) = 4 -(x -4) = 4 -x +4 = 8 -x . . . . functions are not inverses
g(f(x)) = g(4 -x) = (4 -x) -4 = -x . . . . functions are not inverses
__
c) To find the inverse function for y = f(x), solve x = f(y).
The inverse of f(x) = 4 -x is ...
x = f(y) = 4 -y
y = 4 -x . . . . . add y-x to both sides
f^-1(x) = 4 -x
and for g(x) = x -4, the inverse is ...
x = g(y) = y -4
x +4 = y
g^-1(x) = x +4
could anyone please help me ?
Answer:
please one times search answer in search engines ok
Consider the function f whose graph is shown below. Find f(-2)
Answer:
Step-by-step explanation:
See the picture below
name two points that are not contained in or lying in plain p
provide at least two ways to name plane P
Answer:
Points W and Zplane QRS; plane STUStep-by-step explanation:
a) points not on the plane will be somewhere other than on the shaded area representing plane P. Z and W are two such points.
__
b) The name can consist of any three points not on the same line. That means names RVX, RSU, TUV are not allowed, but any other combination of these letters, along with the letter Q, can be used. A couple of possible names are ...
QRS, STU
Determine which of the given points are on the graph of the equation.
Equation: x² + y2 = 2
Points: (1, -1), (-1,0), (1,1)
Which of these points are on the graph of the equation? Select all that apply.
A. (1, -1)
B. (1,1)
C. (-1,0)
D. None of the points are on the graph.
Answer:
D. none
Step-by-step explanation:
to figure out if the point is on the graph, take the x value and plug it in to the x coordinate, do the same for y. if the values truly add up to 2, then it is on the graph. Since none of the values add up to 2, they are not on the graph.
Evaluate m^2 -4m+2 for m =-2
Answer:
answer is 6
Step-by-step explanation:
m^2 - 4m + 2
-2(2) - 4(-2) + 2
-4 + 8 + 2
-4 + 10
6
Four times the sum of twice a number and -3 is less than times that same number
help asap!!!!!!!!!!!!!!!
Answer:
Ray EA & Ray EC
(last one)
Step-by-step explanation:
Opposite rays make a 180 degree line.
For naming it, always start with the endpoint and then to the arrow.
What is the solution to this equation?
4(4x + 1) = 3x - 46 - x) + 8
Answer: Hello There!................
x=-3.5
Step-by-step explanation:
Mark me brainest please. Hope this helps. Anna ♥
I need the answers my today thank you pls and can you screenshot and write it for me pls
Dana can type nearly 90 words per minute. Use this information to find the number of hours it will take her to type 2.6 x 105 words ,convert between standard decimal notation and scientifc
We can solve this problem by using the fact that speed of typing is defined as the words typed in unit time.
Dana will type [tex]2.6\times 10^5[/tex] words in 48.15 hours.
It's given in the question,
Dana can type 90 words per minute.Since, 1 minute = [tex]\frac{1}{60}[/tex] hours
Therefore, number of words she can type = [tex]\frac{90}{\frac{1}{60}}[/tex]
= 90×60
= 5400 words per hour
She types [tex]2.6\times 10^5[/tex] words in 'x' hours.Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time
= [tex]5400\times x[/tex]
Therefore, [tex]5400\times x =2.6\times 10^5[/tex]
[tex]5400x=260000[/tex]
[tex]x=\frac{260000}{5400}[/tex]
[tex]x=48.15[/tex] hours
Therefore, Dana types [tex]2.6\times 10^5[/tex] words in 48.15 hours.
Learn more,
https://brainly.com/question/621754
List all the elements of the following set. Use set notation and the listing method to describe the set. { 2,4,8,...,256}
All the elements of the given set {2,4,8,...,256} are - {2, 4, 8, 16, 32,64, 128, 256} that are total 8 in numbers.
The set is formed by the number of objects in a particular manner, these objects are called elements of the set. The elements of the set are written inside a curly bracket separated by a comma in a particular or specific order.
There are two methods to represent the set and its elements that are:
Set notation: define the elements and properties of sets using symbols that help in describing the relationship between elements in the set.in this case, {[tex]2^{1},2^{2},2^{3},2^{4},2^{5},2^{6},2^{7},2^8[/tex]} as we know,
so the set notation would be :
= {x:x = [tex]2^{n}[/tex], n∈N and 1 ≤ n ≤ 8}
listing method: simple method that include the members or elements of the set are written as a list, separated by the comma and enclosed within the curly braces.The listing method: {2, 4, 8, 16, 32,64, 128, 256}\
Thus, the above mention set is all the elements of the set.
Learn more about set notation:
https://brainly.com/question/24239496
which value is equivalent to -5/6?
Answer:
-5/6 or -0.833333333333
Step-by-step explanation:
step-by-step-ecuation
Isolate the variable by adding a constant to each side of the equation 4(x-5)=25
Answer:
ummm I think u want the answer x= 11 1/4
Answer:
x = 45/4
Step-by-step explanation:
4(x - 5) = 25
4x - 20 = 25
4x - 20 + 20 = 25 + 20
4x = 45
4x/4 = 45/4
x = 45/4
There are 80 cupcakes to be sold at school for a
fundraiser.
1/4 were chocolate
1/5 were vanilla
The rest were strawberry flavored. How many
cupcakes were strawberry flavored?
Answer:
44
Step-by-step explanation:
Let S = strawberry count
Chocolate = 1/4 * 80 = 20
Vanilla = 1/5 * 80 = 16
Total = C + V + S
80 = 20 + 16 + S
80 - 20 - 16 = S = 44
please help me, if you help then thanks!
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Answer:
27
Step-by-step explanation:
Evaluating this expression according to the order of operations is a straightforward calculator problem.
= (81 ÷ 27)³ = 3³ = 27
__
You can also use the rules of exponents to simplify this before evaluating.
(a^b)^c = a^(bc)
(a^b)/(a^c) = a^(b-c)
__
= ((3²)² ÷ 3³)³ = (3⁴ ÷ 3³)³ = (3¹)³ = 3³ = 27
n - 5.5 = 8.3 please help ASAP
Answer:
= 2.8
Step-by-step explanation:
8.3 - 5.5 = 2.8
= 2.8
Evarado paid $1.12 for a doszen eggs at his local grocery store. Determine the cost of the eggs
Answer:
of a single egg or?
Step-by-step explanation:
The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?
-2
-4
2
Answer:
n = 2; the number equals two
Step-by-step explanation:
n/2 = 2n - 3
2/2 = 2(2) - 3
1 = 4 - 3
1 = 1
n = 2
You need to buy a carpet that measures 7.5 yards long and 5 yards wide and costs $49.50 per square yard. How much will the carpet for the room cost?
Answer:
$1,856.25
Explanation:
To find the square yards, multiply length and width
7.5 * 5 = 37.5
Then, since each square yard costs $49.50, multiply the square yards and the cost
37.5 * 49.50 = 1,856.25
Thus the answer is $1,856.25
The carpet for the room will cost $1,856.25.
This is the product of the unit cost per square yard multiplied by the area of the room.
The area of the room is = 37.5 square yards (Length x Width)
Length of the room = 7.5 yards
Width of the room = 5 yards
Therefore, the total area of the room = 37.5 square yards (7.5 x 5)
Thus, the total area of the room is 37.5 square yards and since each square yard costs $49.50, the total cost for buying the carpet will cost $1,856.25 ($49.50 x 37.5).
Learn more about area of a space at https://brainly.com/question/16758524
what is
3. {Review} 8 x 9 = *
4. {Review} 12 x 4 = *
5. {Review} 7 x 8 = *
6. {Review} 6 x 3 = *
7. {Review} 9 x 5 = *
8. {Review} 6 x 8 = *
9. {Review} 27 ÷ 3 = *
10. {Review} 36 ÷ 6 = *
11. {Review} 132 ÷ 12 = *
12. {Review} 110 ÷ 11 = *
13. {Review} 28 ÷ 4 = *
14. {Review} 35 ÷ 7 = *
Answer:
3. 72
4. 48
5. 56
6. 18
7. 45
8. 48
9. 9
10. 6
11. 11
12. 10
13. 7
14. 5
What is m∠A? ???????
Answer:
A=124°
Step-by-step explanation:
5x - 5 = 180
5x = 185
x = 37
A=124
What is the answer to
(9)(-2)=
Answer:
-18
Step-by-step explanation:
9 x -2 = -18
You multiply like normal and then for the answer just add a neg sign if there is an ODD amount of neg signs in the overall problem and then add no neg sigh if there are an EVEN number of neg signs (they cancel out),...
Hope it helps,... Chow,...!
seven subtracted from the product of four and a number is a most 26 use the variable C for the unknown number
Helppppp meeeeeeeeeeeehhhh
Answer:
9.00002 and 0.009 igs I am trying my best to understand lol
four cities lie along a straight highway in this order city a, city, city c, city d. The distance from city a to city b is 5 times the distance from city b to city c. The distance from city a to city d is 2 times the distance from city a to city d. the distance between city d and city c is 10 miles. What are the distances between the cities?
Dividing the segments and finding the lengths, it is found that the distance between the two cities is of 130 miles.
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We want to find the distance between cities a and d.Due to the cities along the highway, the distance is given by:[tex]ad = ab + bc + cd[/tex]
--------------------------------
The distance from city a to city b is 5 times the distance from city b to city c, and thus:[tex]ab = 5bc[/tex]
In terms of x, [tex]bc = x, ab = 5x[/tex]
--------------------------------
The distance from city b to city c is 2 times the distance from city c to city d, and thus:[tex]bc = 2cd[/tex]
In terms of x, [tex]cd = \frac{x}{2}[/tex]
--------------------------------
The distance between city d and city c is 10 miles, thus:[tex]\frac{x}{2} = 10[/tex]
[tex]x = 20[/tex]
--------------------------------
The other distances are:[tex]bc = x = 20[/tex]
[tex]ab = 5x = 5(20) = 100[/tex]
--------------------------------
The distance between cities a and d is:[tex]ad = ab + bc + cd = 100 + 20 + 10 = 130[/tex]
The distance between the two cities is of 130 miles.
A similar problem is given at https://brainly.com/question/24352869
which parts of the number line represent the factors? which part shows the product?
Answer:
The lines on the number line represent the factors. The product is the arrow
Step-by-step explanation:
my explantion is in the answer ig
Fiona drove 489.75 miles on the freeway without any break. She took 7.5 hours. How
much was her average speed for the trip?
Plz help before 12 j
Step-by-step explanation:
1 - 5 is not equal to 8
2 - 16 is not equal to 8
3 - 12 is equal to 12
4 - 5 is not equal to 17
5 - 0 is not equal to 4
DF= 78, DE = 5x -9, EF = 2x + 10, find DE.
Solve for x first.
5x - 9 + 2x + 10 = 78
7x + 1 = 78
7x = 78 - 1
7x = 77/7
x = 11
Then substitute the value of x to find DE.
DE = 5x - 9
5(11) - 9
55 - 9
DE = 46
Therefore, the value of DE is 46
DF= 78, DE = 5x -9, EF = 2x + 10, find DE.
Solution:First, solve for the value of x.
DE + EF = DF(5x - 9) + (2x + 10) = 787x + 1 = 787x = 78 - 17x = 77/7x = 11Then, plug and substitute the value of x to find the DE.
DE5x - 95(11) - 955 - 946Answer:The value of DE is 46