Answer:
The simplified expression for f(g(x)) is x. The simplified expression for g(f(x)) is x. The functions are inverses of each other.Step-by-step explanation:
Given:
[tex]f(x)=\dfrac{1}{8}x^3\\\\g(x)=2x^{\frac{1}{3}}[/tex]
We find that ...
[tex]f(g(x))=\dfrac{1}{8}(2x^{\frac{1}{3}})^3=\dfrac{1}{8}(2^3)(x^{\frac{3}{3}})=\dfrac{8}{8}x\\\\\boxed{f(g(x))=x}\\\\g(f(x))=2\left(\dfrac{1}{8}x^3\right)^{\frac{1}{3}}=2\left(\dfrac{1}{8^{\frac{1}{3}}}\right)(x^{\frac{3}{3}})=\dfrac{2}{2}x\\\\\boxed{g(f(x))=x}[/tex]
__
So, the statements that apply are ...
The simplified expression for f(g(x)) is x. The simplified expression for g(f(x)) is x. The functions are inverses of each other.Answer:
A, D, E
The simplified expression for f(g(x)) is x.
The simplified expression for g(f(x)) is x.
The functions are inverses of each other.
Step-by-step explanation:
Got it right on edg :)
PLEASE HELP!
What percent of the circle is shaded?
Can you also explain how to get the answer?
Answer:
40%
Step-by-step explanation:
1/5 = 20%
then 2/5 would equal 40%
Answer:
40%
Step-by-step explanation:
It is 40 because if you move the two shaded then its two and if you fill in the rest you will need three more.
27 is nine more than six times
Hugo's age. What is Hugo's
age?
Answer:
3
Step-by-step explanation:
First, subtract 9 from 27:
27 - 9 = 18
Next, divide 6 from 18:
18/6 = 3
3 is Hugo's age.
~
PLEASE HELP !! Which is the equation of a line that has a slope of 1/2 and passes through point (2,-3)
Answer:
y = 1/2x - 4
Step-by-step explanation:
You would use point slope to solve this. y-y = m(x-x) with your numbers it would look like this ---> y+3 = 1/2(x-2). (I changed it to +3 because y- -3 = y+3. Two negatives make a positive.) Next you would use the distributive property and it would look like this ---> y+3 = 1/2x - 1 -----> -3 on both sides ------->
y = 1/2x - 4. Hope this helped!!!!
what is one and three hundred twenty-four thousand in decimal
Answer:
1.324
Step-by-step explanation:
"and" is basically the decimal
Answer:
.32400
Step-by-step explanation: just cs
6.1+
4.55+
1.09 +
15.9+
3.771
Answer:
31.411
Step-by-step explanation:
6.1+4.55+1.09+15.9+3.771= 31.411
-(7-2x)+7=-7 help please
Answer:
X = -7/2
Step-by-step explanation:
Answer:
x = -7/2
Step-by-step explanation:
-(7-2x)+7=-7
-7 -7
Start by subtracting -7 from both sides.
-(7-2x) = -14
Divide both sides by -1 to eliminate the negatives.
-(7-2x) = -14
--------- -------
-1 -1
Simplify.
7-2x = 14
Subtract -7 from both sides.
-2x = -7
Divide both sides by -2
-2x = -7
----- ----
-2 -2
x= -7/2
Check if -7/2 by plugging it back into the equation: (-7/2 = -3.5)
-(7-2(-3.5))+7 = -7
A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.
10. Four employees are paid a monthly salary as follows: Wilma. $1.820: Mavis,
$1,615; Martha, $1.977: Tom. $1.560. Whöt average salary per month are these
employees paid?
Answer: Average salary per month=$1,743
(NB--- I am thinking you meant $1,977, $1,560, $1,820 instead of $1.977 $1.560. $1.820 ie a comma instead of decimal point, so i corrected and solved )
Step-by-step explanation:
Step 1
Average salary =Total amount of employees salaries/ Number of employees
Step 2
Employee Amount of salary per month
Wilma $1,820
Mavis, $1,615
Martha, $1,977
Tom $1,560.
Total = $ $6,972
Average salary per month = $1,820 + $1,615+$1.977+$1.560/4 =$6,972/4= $1,743
what is -9/12 + 4/12=
Answer:
I think it would be -0.416 but I'm not real sure so make sure before using my answer! :3 Have a great day!
ezekiel has $250 in his bank account he deposts $35 from his birthday and then buys clothes for school for $75
Answer:
$140
Step-by-step explanation:
i assume ur asking for how much is left over
250-35= 215
215-75= 140
$140 left
Find the complement of the set given that U = {3, 4, 5, 6, 7, 8, 9, 10, 11). (Use the roster method to write the set. Enter EMPTY or for the empty set.)
{5, 7, 9, 10)
Answer:
(3, 4, 6, 8, 11)
Step-by-step explanation:
The complement of a set are elements of a universal set that isn't present in the given set.
The universal set is U = {3, 4, 5, 6, 7, 8, 9, 10, 11)
[tex]\left \{ 3,4,6,8,11 \right \}[/tex]
A set is a well-defined collection of objects.
The collection of all items in a certain context or theory is known as a universal set.
The complement of a set is the set that contains all of the universal set's elements that aren't found in the provided set.
[tex]U=\left \{ 3,4,5,6,7,8,9,10,11 \right \}[/tex]
Let [tex]A=\left \{ 5,7,9,10 \right \}[/tex]
Complement of set is [tex]\left \{ 3,4,6,8,11 \right \}[/tex]
For more information:
https://brainly.com/question/2332158?referrer=searchResults
I need this right now please
The sum of prime number
less than x is 58
find an integer value for x
Answer:
58
Step-by-step explanation:
Prime Numbers = 2+3+5+7+11+13+17
= 58
Round 7696.41481885 to the nearest thousand
Round the number 7696.41481885 to the nearest thousandth will be 7696.415.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The decimal number is given below.
7696.41481885
Round the number 7696.41481885 to the nearest thousandth term, which will be done if the number is greater than 5 then the previous of that number is increased by 1. Then the number will be
7696.415
Round the number 7696.41481885 to the nearest thousandth will be 7696.415.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Can anyone help me with my algebra work for #14 and #15?
Choose the expression that completes the equation. 24 ÷ 6 + 20 =______
Hey there!
ANSWER: [tex]24[/tex]EXPLANATION:[tex]\text {Choose the expression that completes the equation}\\24/6+20=?[/tex]
To complete the equation, we will need to use the order of operations(PEMDAS). Let's start with division since that's the highest in the order.
[tex]24/6=4[/tex]
Now let's addition since that's all that is left.
[tex]4+20=24\\24(ANSWER)[/tex]
So now let's complete the equation.
[tex]24/6+20=24(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Each side of a regular pentagon is m+10 inches. The formula for finding the perimeter of the pentagon is shown below.
Answer:
5m+50
Step-by-step explanation:
since it's regular all sides are equal
it's have 5 sides of m+10
[tex]P=5(m+10)\\\\P=5m+50[/tex]
Which one is from greatest to least?
A : -15, -8, 10, 12
B : 12, 10, -15, -8
C : 12, 10, -8, -15
D : -15, -8, 12, 10
HELPPP!! ASAP!!
Answer:
C is correct!
12,10,-8,-15
Multiply (6x^3+8)(7x^2+8x+7)
Venus is an average distance of 108.2 million kilometers from the sun. Use the conversion factor
0.72 AU is the answer
Austin removed 16 fish from his pond over a period of 2 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?
Answer:
-8
Step-by-step explanation:
if he took out the same number of fish each day then it would be 8 a day resulting in a decrese of 8 fish a day.
A garden table and
bench cost $897 combined. The garden table costs $47 more than the bench. What is the cost of the bench?
Answer:
472
Step-by-step explanation: First subtract the additional cost from the overall cost, than you find the value of the bench by dividing by 2, than add the additional cost to the price of the bench to find the total cost of the Garden Table.
897-47=850
850 divided by 2 = 425
425 + 47 = 472
(6 + √27) / 3 Sorry i wrote it wrong the first time.
Answer: [tex]2 + \sqrt{3}[/tex]
==============================================
Work Shown:
[tex]\frac{6 + \sqrt{27}}{3}\\\\\frac{6 + \sqrt{9*3}}{3}\\\\\frac{6 + \sqrt{9}*\sqrt{3}}{3}\\\\\frac{6 + 3\sqrt{3}}{3}\\\\\frac{3(2 + \sqrt{3})}{3}\\\\2 + \sqrt{3}\\\\[/tex]
The idea with simplifying the square root (steps 2 through 4) has us factoring 27 so that one factor is a perfect square. We want the largest perfect square factor possible.
That way when we use the rule sqrt(x*y) = sqrt(x)*sqrt(y), we pull out that perfect square to then use the rule sqrt(x^2) = x where x is nonnegative.
After simplifying the square root, we factor out the GCF and then cancel out the 3's.
if x - 2y = 1 and 2x - y = -4, then x + y = ?
Answer:
x + y = -5
Step-by-step explanation:
x - 2y = 1
2x - y = - 4
then:
x = 1 + 2y
then:
2(1+2y) - y = -4
(2*1 + 2*2y) - y = -4
2 + 4y - y = -4
3y = -4 -2
3y = -6
y = -6/3
y = -2
x = 1 + 2y
x = 1 + 2*-2
x = 1 - 4
x = -3
Check:
x - 2y = 1
-3 -2*-2 = 1
-3 + 4 = 1
Answer:
x + y = -3 -2= -5
Find the midpoint of points A(-3,9) and B(0, 1) graphically.
Answer:
[tex](-\frac{3}{2} , 5)[/tex]
Step-by-step explanation:
The graph is in the image
[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-3,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)\\\\\left(\frac{0-3}{2},\:\frac{1+9}{2}\right)\\\\Add\:or\:subtract\:the\:numbers\\\\(\frac{-3}{2} , \frac{10}{2}) \\\\Simplify\\\\(-\frac{3}{2} , 5)\\[/tex]
Which type of transformation preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x)? vertical translation horizontal translation reflection over the x-axis reflection over the y-axis
Answer:
Vertical Translation.
Step-by-step explanation:
If you shift a parabole up, for example, it is still symmetric about the y-axis. If you shift it left or right, it loses its symmetry. Reflection maintains symmetry for both even and odd functions.
Answer:
vertical translation
Step-by-step explanation:
vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1). How many possibilities are there for the position of the fourth vertex?
Answer:
1 possibility is there for the the position of the fourth vertex.
Find the midpoint of the line segment with the given endpoints (-3,1 -2,8) (-4.92,-3.3)
Answer: (4.01, -3.05)
Step-by-step explanation:
Use the midpoint formula (x1+x2/2,y1+y2/2)
-3.1 + -4.92 /2 =4.01
-2.8 + -3.3 /2 = -3.05
(4.01, -3.05)
The area of a square garden is A= 121ft2 how long is each side of the garden?
Answer:
11ft.
Step-by-step explanation:
121 is the square root of 11, but that's not important. basically, you just find out what multiplies to be 121, since it's just side * side. long division can help if you're not allowed to use a calculator. I hope I was at least somewhat helpful. I feel like this wasn't the best explanation out there.
4x +14+ 4x=38 solve equation
Answer:
3
Step-by-step explanation:
4x +14 +4x =38
8x =38 - 14
8x=24
x=24 :8
x=3