Step-by-step explanation:
Volume of Washing machine = Volume of Rectangle
= Length x Width x Height
= 5 x 6 x 6
[tex] = 180ft^{3} [/tex]
For each pair of functions f and g below, find f(g(x)) and g(f(x)).
Then, determine whether f and g are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all x in the domain ofthe composition.
You do not have to indicate the domain.)
Answer:
a) f(g(x)) = [tex]\frac{1}{2(\frac{1}{2x} )}[/tex] = [tex]\frac{1}{\frac{1}{x} } }[/tex] = x
g(f(x)) = [tex]\frac{1}{2(\frac{1}{2x} )}[/tex] = [tex]\frac{1}{\frac{1}{x} } }[/tex] = x
f and g are inverses
b) f(g(x)) = x + 3 + 3 = x + 6
g(f(x)) = x + 3 + 3 = x + 6
f and g are not inverses
Step-by-step explanation:
a)
f(g(x)) = [tex]\frac{1}{2(\frac{1}{2x} )}[/tex] = [tex]\frac{1}{\frac{1}{x} } }[/tex] = x
g(f(x)) = [tex]\frac{1}{2(\frac{1}{2x} )}[/tex] = [tex]\frac{1}{\frac{1}{x} } }[/tex] = x
Since f(g(x)) = g(f(x)) = x, then f and g are inverses
b)
f(g(x)) = x + 3 + 3 = x + 6
g(f(x)) = x + 3 + 3 = x + 6
Since f(g(x)) = g(f(x)) ≠ x, then f and g are not inverses
the height of the rectangular box is 4 times its width, and its length is 2 in more than its width. the volume of the box is 60in^3
Step-by-step explanation:
height= 4b
length = 2 + b
volume = 60in³
or, l ×b × h = 60in³
or, (2+b) × b × 4b = 60in³
or, 4b²(2+b) = 60in³
or, 8b² + 4b³ = 60
or, 2b² + b³ = 15
or, b³ + 2b² -15= 0
b= 1.95
l= 2+1.95=3.95
h= 4×1.95 = 7.8
9000+300+100times 6divided by 800
Answer:
9300.75
Step-by-step explanation:
9000 + 300 + 100 * 6 / 800
According to Order Of Operations, we multiply and divide first.
9000 + 300 + 600 / 800
Divide.
9000 + 300 + 0.75
Add.
9300 + 0.75
Add.
9300.75.
Answer:
9,000+300+100×6÷800=9,300.75
Step-by-step explanation:
pls mark me brainless
Please look at the photo
Answer:
not similar
Step-by-step explanation:
Carla and Andrew have 29 puppies. Andrew has 8 more than twice Carla How many puppies does person have?
Answer:
Andrew has 22 puppies, Carla has 7 puppies.
Step-by-step explanation:
Let's set up an equation.
Carla and Andrew have 29 puppies.
C + A = 29
Andrew has 8 more than twice Carla.
A = 2C + 8
Let's use substitution by plugging A into C + A = 29.
A = 2C + 8 & C + A = 29
C + (2C + 8) = 29
Now, let's combine like terms.
3C + 8 = 29
Subtract 8 from both sides.
3C = 21
Divide both sides by 3.
C = 7
Carla has 7 puppies. Plug in this value back into C + A to find how many puppies Andrew has.
C + A = 29
7 + A = 29
A = 22
Andrew has 22 puppies.
Let's check our work. Plug in Andrew and Carla's number of puppies back into our original equations.
C + A = 29
7 + 22 = 29
29 = 29
Correct!
A = 2C + 8
22 = 2(7) + 8
22 = 14 + 8
22 = 22
Your answer is correct!
Hope this helps!
Solve the equation 2a + 4 = 14
Answer:
2a+4=14
2a=14-4
2a=10
a=10/2
a=5
have a nice day
#Captainpower
Answer:
hi
Step-by-step explanation:
2a+4=14
2a=14-4
2a=10
a=10/2
a=5
have a nice day
The vertex will ALWAYS be on the axis of symmetry.
True
False
Answer:
False the vertex will not always be on the axis of symmetry.
(I may be wrong, please don't be mean its what I was taught)
PLLSSSSS HELPPPP I DONT GET THIS AT ALL
Answer:
[tex]y\leq 4[/tex]
Step-by-step explanation:
The range is about the y values, and by looking at this parabola we can see that the maximum value is a 4. So the range would be the maximum and below (where the parabola extends to). So the values in the range would be equal to 4 and less than since the parabola is negative.
Hope this helps :)
HI! I am back with another question! Here it is: b/6=3
b=?
If someone could be so kind enough to answer, that would be great. Thank you!
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N \: \: E \: Q\: U \: A \: T\: I \: O \: N}}}} : [/tex]
[tex] \large\frac{b}{6} = 3[/tex]❀ [tex] \underline{ \underline{ \large{ \tt{ \: T \: O \: \: F \: I\: N \: D}}} }: [/tex]
Value of b☃ [tex] \underline{ \underline {\large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]
☂ [tex] \large{ \tt{ \frac{b}{6} = 3}}[/tex]
~Apply cross product property :
⇢ [tex] \large{ \tt{b \times 1 = 3 \times 6}}[/tex]
⇢ [tex] \large{ \tt{b = \boxed{ \large{ \tt{18}}}}}[/tex]
☪ [tex] \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \underline{ \boxed{ \bold{ \tt{b = 18}}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ♕
☄Let me know if you have any questions regarding my answer! ツ
☞ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}} [/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
a) red
b) red
c) the blue one is y=1/2x+1
Step-by-step explanation:
Are the numbers in front of either the x or y variables
opposites? If yes, add the columns together.
3x-2y=10
+ 7x+2y = 30
———————
Lol please help.
Sixth grade
Y.18 Identify equivalent expressions I KFG
Which expression is equivalent to 3(4n + 1)?
12n + 3
12n + 1
3n + 12
4n + 3
10 TIME REMAINING 52:28 A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches. What is the length of the other leg? Round to the nearest tenth. 14.4 in. 21.7 in. 28.9 in. 43.3 in.
Answer:
14.4 in
Step-by-step explanation:
25 in is the longer leg so you have to do [tex]\frac{25}{\sqrt3}[/tex]
Answer:
14.4 on edge 2021
Step-by-step explanation:
Which expression represents the perimeter of the following triangle?
Help asapppppp!!!!!!!!!
Do Now
You decide to bake Banana Bread. The recipe calls for 1 1/2 bananas, to 2 1/2 cup of
flour, to 1 cup of sugar. You only have 1 cup of flour to use. What is the new ratio
for the other two ingredients using this unit rate of flour?
Answer:
1 banana, 1 cup flour, 2/3 cup sugar
Step-by-step explanation:
A recipe calls for 125 cups of sugar. If jasmine wants to make 13 of the recipe, how many cups of sugar will she need?
Answer: 1625
Step-by-step explanation: So if you want to make 13 of one recipe it said that in 1 recipe there's 125 cups of sugar so you need to multiply 123 by 13 so do this 125 x 13 = 1625 and then there, you have your answer 1,625 cups of sugar for 13 things of the recipe.

A.5,8 and 4,5
B.5,8 and 4,3
D. 4,5 and 4,3
Please help
Answer:
b
Step-by-step explanation:
Consider the series 1/4 1/8 1/16 1/32 What is an expression of Sn for the series shown?
Answer:
c
Step-by-step explanation:
edg 21 ^u^
Answer:
The person above me is correct. :D
Step-by-step explanation:
2
2. alb -c) - (a-c)
3. 6(2x - y) - 4(x + 2y)
x(a + b)-x(a +36
ractions in algebra
Answer:
ab - ac -a + c
8x - 8y
bx - 36x
Step-by-step explanation:
Given:
a(b -c) - (a-c) 6(2x - y) - 4(x + 2y) x(a + b)-x(a +36)Rewrite in simple form
Computation:
1. a(b -c) - (a-c)
ab - ac -a + c
2. 6(2x - y) - 4(x + 2y)
12x - 6y - 4x - 2y
8x - 8y
3. x(a + b)-x(a +36)
ax + bx - ax - 36x
bx - 36x
1000000000+1000000000
write the word sentence as a equation. Then solve the equation 13 subtracted from a number w is 15
The side length of an isosceles right triangle is 7x + 3 feet. (both base and height are 7x + 3 feet).
then written in standard form, what is the area of the triangle? (area of triangle = 1/2bh)
What is the area of the triangle in cubic feet when x = 11?
Answer:
21
Step-by-step explanation:
because they all sum up together
What the perimeter of the triangle
Answer:
24
Step-by-step explanation:
so multiplies see och the rest of the world and the second half and the other hand if you have a good and the second one is the only way only a and the other is the first time I saw one he and only best o
Answer:
33b-8 is the perimeter
Step-by-step explanation:
Triangle is an Isosceles triangle so two side is equal
2(12b - 8) + 9b + 8
Distribute
24b - 16 + 9b + 8
Combine like terms
33b -8
Mike baked 8 dozen cookies and has given 3 1/3 dozen to be sold. How many cookies does he have left? Explain how you would find this answer.
6 2/3
Break down how to get the answer 6 2/3
Which comic section is represented by the following equation ?
circle
ellipse
parabola
hyperbola
Answer:
hyperbola
Step-by-step explanation:
Sana makatulong
Which of the following represents a sum from the expression given?
A. 21
B. 2
C. 13x2
D. 13x2 + 8x
uhh i dont understand but if you do all of these I will give you brainliest on all of your answers it
Answer:
Step-by-step explanation:
a
19 = 548 and a
33 = 968
Find a
27
Answer:
The value of a₂₇ is 788
Step-by-step explanation:
a₁₉ = 548
a₃₃ = 968
Now,
a₁₉ = 548 can be written as
a + 18d = 548 ...(1) and
a₃₃ = 968 can be written as
a + 32d = 968 ...(2)
Now, from equation (2) we get,
a + 32d = 968
a + 18d + 14d = 968
548 + 14d = 968 (.°. a + 18d = 548)
14d = 968 - 548
14d = 420
d = 420 ÷ 14
d = 30
Now, for the value of a put the value of d = 30 in equation (1)
a + 18d = 548
a + 18(30) = 548
a + 540 = 548
a = 548 - 540
a = 8
Now, For a₂₇
a₂₇ = a + 26d
a₂₇ = 8 + 26(30)
a₂₇ = 8 + 780
a₂₇ = 788
Thus, The value of a₂₇ is 788
-TheUnknownScientist
what is 64x6+27 written as a sum of cubes?
Answer:
To transform the given expression to the sum of cubes, calculate first the cube root of the terms. The cube root of the first term, 64x^6 is 4x^2 and that of the second term, 27 is 3.
Thus, the answer to this is (4x^2)^3 + 3^3