Answer: [tex]b=13/8[/tex]
Cross multiply
[tex](13)*(1)=8*b\\13=8b[/tex]
Flip the equation
[tex]8b=13[/tex]
Divide both sides by 8
[tex]8b/8=13/8\\b=13/8[/tex]
are f(x)=1/8x^3 and g(x)=2x^1/3 inverses of each other? Check all that apply.
PLEASE SHOW WORK!
The simplified expression for f(g(x)) is x.
The simplified expression for f(g(x)) is One-fourth x.
The simplified expression for g(f(x)) is 2x.
The simplified expression for g(f(x)) is x.
The functions are inverses of each other.
The functions are not inverses of each other.
Answer: 1,4,5
Step-by-step explanation:
The correct options are, The simplified expression for g(f(x)) is x.
The functions are not inverses of each other.
What is an inverse function?First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.
We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.
Given, f(x) = 1/(8x³).
f(x) = 1/(2x)³.
y = 1/(2x)³.
(2x)³ = 1/y.
[tex]2x = \frac{1}{y^\frac{1}{3}}[/tex].
[tex]x = \frac{1}{2y^\frac{1}{3}}[/tex].
[tex]f^{-1}(x) = \frac{1}{2x^\frac{1}{3}}[/tex] and g(x) = [tex]2x^\frac{1}{3}[/tex] so, they are not inverses of each other.
Now, f(g(x)) = [tex]\frac{1}{8((2x)^\frac{1}{3})^3}[/tex].
f(g(x)) = 1/16x.
g(f(x)) = [tex]2(1/8x^3)^\frac{1}{3}[/tex].
g(f(x)) = x
learn more about the inverse of functions here :
https://brainly.com/question/2541698
#SPJ2
Find the x- and y-intercepts of the graph of the linear equation. y=-x+4
Answer:
Step-by-step explanation:
x-int
-x + 4 = 0
x = -4
(-4, 0)
y-int
y = 0 + 4
y= 4
(0, 4)
A giraffe can run 32 miles per hour. What is this speed in feet per second?
Answer:
46.9333 feet per second
Step-by-step explanation:
Distribute 6x (5 – 7x).
Answer:
30-42x
Step-by-step explanation:
Use the distributive property to multiply 6 by 5-7x.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{30 - 42x}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{6(5 - 7x)}[/tex]
Distribute 6 through the parentheses
[tex] \dashrightarrow{\sf{6 \times 5 - 6 \times 7x}}[/tex]
[tex] \dashrightarrow{ \sf{30 - 42x}}[/tex]
Hope I helped!
Best regards! :D
3.
[tex] - \sqrt{49} [/tex]
find each square root
Answer:
The negative square root of -49 is -7
A triangle has side length of
3.8q + 21.2 + 8.3r
The perimeter is all sides added together, therefore our equation looks like this:
[tex](1.7q + 9.3) + (2.1q + 6.7) + (8.3r + 5.2)[/tex]
However, we can get rid of the parentheses and add like terms together.
[tex]1.7q + 9.3+ 2.1q + 6.7+ 8.3r + 5.2[/tex]
[tex]1.7q + 2.1q + 9.3 + 6.7+ 5.2 + 8.3r [/tex]
[tex] 3.8q + 21.2 + 8.3r [/tex]
help me pleaseee i dont understand it.
How do you write 8409.08 in words?
Answer:
eight thousand four hundred nine and eight hundredths
Step-by-step explanation:
Answer:
The answer is, Eight-thousand four-hundred nine and eight thousandth
Step-by-step explanation: All you have to do is say it enough. Please have a nice day.
half of your baseball cards collection got wet and was ruined. you bought 19 cards to replace some that were lost. how many did you begin with if you now have 45.
Answer:
38 cards
Step-by-step explanation:
Assuming that you replaced all your baseball cards that were ruined, that would mean that you started with 38, because we know that 19 is half of all the baseball cards that were lost so 19*2=38
What’s the slope intercept form of the equation
Y=Mx+b
Answer:
Step-by-step explanation:
-7y = -6x - 7
y = 6/7x + 1
vienna earns $53 per week working part time at a bookstore. She makes $1 more for each book that she sells. The amount, A (in dollars), that vienna earns in a week if she sells b books is given by the following function.
A(b)=53+b
how much does Vienna earn in a week if she sells 35 books?
Answer:
$88 or $298
Step-by-step explanation:
take viennas $53 per week and add the extra $35 she makes for selling books and you get $88
or
take viennas $53 per week and add the extra $245 she makes for selling books and you get $298
the first is if she sells 35 books for the whole week, and i wrote the second one for if you mean she sells 35 books a day
(im not sure if this is right, but its the closest thing i can think of)
Answer:
88 or 298!
Step-by-step explanation:
take viennas $53 per week and add the extra $35 she makes for selling books and you get $88
or
take viennas $53 per week and add the extra $245 she makes for selling books and you get $298
the first is if she sells 35 books for the whole week, and i wrote the second one for if you mean she sells 35 books a day
(im not sure if this is right, but its the closest thing i can think of)
y+6x=11; x = -2,0, 4
Solve the equation for y.
Find the slope of the line passing through the points (2,8) and (2,-7)
Answer:
undefined
Step-by-step explanation:
The line is a vertical line (since both points have the same x-coordinate of x=2) and hence it has an undefined slope.
Use area of squares to visualize Pythagorean theorem
The diagram shows a right triangle and three squares. The area of the largest square is 55 units.
Answer:
A. 12 and 43
Step-by-step explanation:
Pythagorean theorem is given as = [tex] a^2 + b^2 = c^2 [/tex]
Where, a and b are the two legs of the right triangle, while c is the hypotenuse/longest leg of the triangle.
In the figure given, the side of the largest square = the hypotenuse of the triangle = c
While the side of the other squares = a and b respectively, of the triangle.
Area of square = s², where s is the side length of the square.
Since we are given that the area of the largest square = 55, this is also equivalent to c² in the Pythagorean theorem.
The side length of the largest square = √55 ≈ 7.4 = c
Therefore, to determine the area of the other squares, check the options given if they add up to give 55.
Option A: 12 + 43 = 55
Option B: 14 + 40 = 54
Option C : 16 + 37 = 53.
The correct possible areas of the smaller squares would be A. 12 and 43.
k to the power of 8 times k
Steps to solve:
k^8 * k
~Since we are multiply k to itself, we just add one to the exponent of 8.
k^8+1
k^9
Best of Luck!
AB lies on a number line. The coordinate of point A is -6. Given that AB=20, what are two possible coordinates for point B?
Answer:
-26 or 14
Step-by-step explanation:
Given that
Coordinate of point A is -6.
Length of AB = 20
To find:
Coordinates for the point B = ?
Solution:
We are given that:
AB = 20
In other words, we can use modulus function to define the distance between A and B:
|Coordinates of B - Coordinates of A| = 20
Let the coordinates of B = [tex]x[/tex]
Kindly refer to the attached image for the given situation.
Point B might be either on the left or on the right side of A.
That means:
[tex]|x-(-6)| = 20\\\Rightarrow |x+6|=20[/tex]
Now, let us have a look at the modulus function:
[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]
So,
[tex]|x+6|=\left \{ {-{(x+6)}\ if\ (x+6)<0 \atop {(x+6)}\ if\ (x+6)>0} \right.[/tex]
[tex](x+6 ) =20\\\Rightarrow x =14[/tex]
[tex]-(x+6 ) =20\\\Rightarrow x =-26[/tex]
Therefore, the answer is:
-26 or 14
Please help! I will mark brainliest. Sketch the following graphs in order:
Answer:
Domain of f(x) = 2/7x - 2: (-∞, ∞)
Range of f(x) = 2/7x - 2: (-∞, ∞)
Domain of f(x) = |x + 3| - 1: (-∞, ∞)
Range of f(x) = |x + 3| - 1: [-1, ∞)
Domain of f(x) = -5x + 4: (-∞, ∞)
Range of f(x) = -5x + 4: (-∞, ∞)
Step-by-step explanation:
We can use a graphing calculator to find the graphs.
Domain is the set of all x-values that can be inputted into function x.
Range is the set of all y-values that can be outputted from function x.
if you kick a soccer ball on the ground,it eventually comes to a stop because of the friction with the grass.Which newton's law of motion is this an example of
Answer:
Newton's first law
Step-by-step explanation:
Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
Martha tiene un negocio en el cual vende huevos empacados por docena. Uno de sus clientes le pide solamente 5/6 de docena, ¿cuántos huevos debe venderle Martha?
Answer:
María solamente debe venderle al cliente 10 unidades
Step-by-step explanation:
Explicación paso a paso:
Una docena representa un total de doce (12) unidades. Los huevos se empacan por docena, por lo tanto si nos piden solo 5/6 de la docena, multiplicamos dicha fracción por 12 unidades:
5/6 · 12 = (12 · 5)/6 = 60/6 = 10 unidades
Por lo tanto, María solamente debe venderle al cliente 10 unidades, es decir 5/6 representa 10 unidades de los huevos
Usando conceptos de proporción, se encuentra que Martha debe vender 10 huevos al cliente.
---------------------------
Esta pregunta se resuelve por proporciones, usando una regla de tres.Una docena está compuesta por 12 huevos. ¿cuántos huevos en 5/6 de docena?1 docena - 12 huevos
5/6 de docena - x huevos
Aplicando multiplicación cruzada:
[tex]x = 12 \times \frac{5}{6} = \frac{12 \times 5}{6} = 2 \times 5 = 10[/tex]
Martha debe vender 10 huevos.
A similar problem is given at https://brainly.com/question/23926715
3(20 + 4) =
Help me pleases
Answer:
72 is your answer mate...
A tree is 18 feet tall. A wire runs from the top of the tree to a point 4 feet from its base. The wire is √340 feet long. Estimate the length of the wire to the nearest hundredth of a foot. The wire is about (Blank) feet long.
Answer:
The wire is about 18.44 feet long.
Step-by-step explanation:
From the question:
The wire is √340 feet long.
This implies that the length of the wire is √340 feet.
Converting the value of this length (√340) to decimal gives;
√340 = 18.439
Now, let's convert 18.439 to the nearest hundredth of a foot.
18.439 ≅ 18.44
Therefore, the length of the wire to the nearest hundredth of a foot is 18.44 feet.
In other words, the wire is about 18.44 feet long.
[tex]\frac{x+10}{2}[/tex]
Answer:
[tex]\frac{x}{2}+5[/tex]
Step-by-step explanation:
[tex]\frac{x+10}{2}[/tex]
To solve, you will have to divide.
[tex]\frac{x}{2}+5[/tex]
Hope this helps!
Evaluate the expression. ( 92 – 15 12) = 17 The value of the expression is
Answer:
False
Step-by-step explanation:
Answer
false
Step by step
(92-1512)=17
Simplify the following expressions and please show steps : >
Select the correct answer,
A soccer team wins 65% of its matches, and 15% of its matches end in a draw. If the team is scheduled to play 20 matches, about how many
matches is it expected to lose?
A. 13
B. 4
с. В
D. 1
Answer:
0.65 x 20 = 13 0.15 x 20 = 3 so 13 + 3 =16 20 - 16 = 4
Step-by-step explanation:
What is the rule for the transformation from the smaller polygon to the larger polygon?
find y if x = -3 whats the answer
A. y = 1/3 (-3) - 3 = - 6
B. y = 2(-3)^2 - 3(-3) - 2
= 2(9) - 3(-3) - 2
= 18 + 9 - 2
= 25
C. 2(-3) - 5y =4
- 6 - 4 = 5y
y = - 2
Answer:
A = -6
B = 25
C = 2
Step-by-step explanation:
-3*1/3 = -1, and -1-5=-6
2(-3)^2=2(9)=18 -3*-3=9 18+9=27 27-2=25
for the last rewrite the equation
2x-4=5y
-6-4=-10
-10=5y
y=-2
Select the items from the following list that are included in financial literacy.
Answer:
applying for a credit card
paying taxes
opening a checking account
Step-by-step explanation:
Hope this will help yal'l
Point B is on line segment AC. Given AB = 2x + 10, BC = x, and AC = 5x,
determine the numerical length of AC.
Answer:
AC = 25
Step-by-step explanation:
Since B is on the segment AC, then
AC = AB + BC, substitute values
5x = 2x +10 + x , that is
5x = 3x + 10 ( subtract 3x from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Thus
AC = 5x = 5(5) = 25
What is the value of z in the solution of the following system of equations?
3x+ 5y +7z= 3
2x+4y+6= 6
4x+3y + 5z = -6
A. 6
B. 4
C. -2
D. -6
Answer:
D) -6
Step-by-step explanation: