Aref (x) = StartFraction 1 Over 8 EndFraction x cubed and g (x) = 2 x Superscript one-third inverses of each other? Check all that apply. 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:
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 :)
On a marathon course Amanda is 2mile behind Beverley and chad is 1 mile ahead of Beverly how far apart are Amanda and chad?
31. One February day, the low temperature in
St. Paul, MN Was - 170. Over a period of three
hours, the temperature rose 5°F per hour.
After three hours, what the was the
temperature?
Answer:
-2°F
Step-by-step explanation:
The starting temperature was -17°F. If the temperature rose 5°F per hour, and we're looking for the temperature after three hours, the change in temperature was +15°F.
-17 + 15 = -2°F
state A,B and C have hosted a certain sporting event a total of 75 times. state A had hosted the sporting event 9 more times then state C. together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted. determine the number of times this sporting even was hosted by each of the three states
Answer:
Step-by-step explanation:
Total events = 75
A + B + C = 75 --------------(I)
State A had hosted the sporting event 9 more times then state C.
A = C + 9 ---------------------(II)
Together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted.
A + C = 4B + 5 ---------------------(III)
Substitute A = C + 9 in (III)
C + 9 + C = 4B + 5
2C + 4 = 4B + 5
2C = 4B + 5 - 9
2C = 4B - 4
Divide the whole equation by 2
2C/2 = 4B/2 - 4/2
C = 2B - 2 -------------(a)
Plugin the C = 2B - 2 in (II)
A = C + 9
A = 2B - 2 + 9
A = 2B + 7 ------------------(b)
Plugin the value of A & C from (a) & (b) in equation (I)
A + B + C = 75
2B + 7 + B + 2B - 2 = 75
Add the like terms
2B + B + 2B + 7 - 2 = 75
5B + 5 = 75
5B = 75 - 5
5B = 70
B = 70/5
B = 14
Plug in B value in equation (a)
C = 2B - 2
C = 2*14 -2
= 28 - 2
C = 26
Plugin B value in equation (b)
A = 2B + 7
= 2*14 + 7
= 28 + 7
A = 35
State A has hosted 35 times
State B has hosted 14 times
State C has hosted 26 times
solve using elimination method
-3x + 5y = 8
-2x + 7 y = -2
x = - 6
y = - 2
Step-by-step explanation:-3x + 5y = 8 | ×(-2)
-2x + 7 y = -2 | ×3
6x - 10y = - 16
- 6x + 21y = - 6
add
6x - 6x - 10y + 21y = - 16 - 6
11y = - 22
y = - 22 : 11
y = - 2
replace y
- 2x + 7(-2) = - 2
- 2x - 14 = - 2
- 14 + 2 = 2x
2x = - 12
x = - 12 : 2
x = - 6
-7 (8s + 9f) if s = -5 and f = -3
Answer:
469
Step-by-step explanation:
Substitute -5 and -3 into the equation:
-7(8 (-5) + 9 (-3)
-7(-40 - 27)
-7(-67)
+469
Find the zeros of the function f(x) = -1.6x2 + 18x – 47 to the nearest
hundredth.
Answer:
Step-by-step explanation:
PLEASE HELPPP!!!
Which statement translates the equation?
8n + 15 = 3n + 60
A) Jessy and Paul all together have 8n + 3n cookies, Jessy has 15 cookies and Paul has 60 cookies. How many cookies does Jessy have?
B) Jessy and Paul all together have 15 + 60 cookies, Jessy has 8n cookies and Paul has 3n cookies. How many cookies does Jessy have?
C) Jessy and Paul all together have 3n + 60 cookies, Jessy has 8n cookies and Paul has 15 cookies. How many cookies does Jessy have?
D) Jessy and Paul all together have 3n + 60 cookies, Jessy has 8n plus 15 cookies more than and Paul. How many cookies does Jessy have?
Answer:
its c
Step-by-step explanation:
Consider the diagram Lines AC and RS are A coplanar. B parallel. C perpendicular D skew.
Answer: The answer is skew!
Step-by-step explanation:h
When lines are not parallel, and they do not intersect, such lines are said to be skewed.
Line AC and RS are skew.
From the diagram, we have two planes.
Plane xPlane yLine AC is on plane x, while line RS is on plane y
Plane x and plane y are not parallel;
So lines AC and RS are not parallel.
Also, both lines are not parallel.
Using the condition of skewness stated above, we can conclude that line AC and RS are skew.
Read more about skewness at:
https://brainly.com/question/1995934
find 6/7 divided 2/9. and put your answer as a reduced fraction.
Answer:
3 6/7
Step-by-step explanation:
divide 6/7 by 2/9 and that equals 3 6/7 and since you cant simplify that the answer stays the same which the answer is 3 6/7
Find the value of x in the diagram below
Answer:
x = 13
Step-by-step explanation:
a^2 + b^2 = c^2
5 = a 12 = b
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
square root of 169 = 13
Write the slope-intercept form of the equation of the line given the
slope and y-intercept.
slope = -4; y-intercept = -7
Answer:
y= -4x-7 or 4x+y= -7
Step-by-step explanation:
we know y=mx+c
given,
m=-4 c=-7
the equation y= -4x-7 or 4x+y= -7
thank u
Answer:
y=-4x-7
Step-by-step explanation:
Hi there!
We are given that the slope of a line is -4, and the y intercept of this same line is -7
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept, hence the name
As we are given the values for both the slope and the y intercept of this line, we can immediately substitute those values into the equation
Let's start with the slope; substitute -4 as m in the equation
y=-4x+b
Now with the y intercept; substitute -7 as b into the equation
y = -4x - 7
Hope this helps!
See more on this topic here: https://brainly.com/question/22607472
A square serving platter has an area of 49cm2. What is the side length?
Answer:
the answer is 7 because the square of 49 is 7 and it asks for the side to equal it.
Step-by-step explanation:
Find the quotient.
3.6÷0.08
Answer:
45
Step-by-step explanation:
Good luck!
The cost to rent a moving van is $28 plus an additional $7 per hour. For $49, what is the maximum amount of time that a moving van can be rented for?
Answer:
3 hours
Step-by-step explanation:
49-28=21
21/7=3
* 1. Name a point on line n. 2. Name a segment on line m. 3. Name a ray with endpoint C. 4. Name three collinear points.
Answer:
1. D
2. AE (with a line above the 2 letters)
3. AC (with an arrowpointing to the right above the 2 letters)
4. B, A, and C
2. What decimal equals seven hundred forty-six thousandths?
A. 0.0746
B. 0.7461
C. 7,400.6
1
D. 7,400.006
Answer:
A. 0.0746
Step-by-step explanation:
Because it is in the thousandths place
6(2x-3)-8=-2
Solve for x! Tyy
Answer:
x=2
Step-by-step explanation:
use distributive property for the first part the solve like usual
hope this helped
6(2x -3) - 8 = -2 (remove the parantheses)
12x - 18 - 8 = -2 (calculate)
12x - 26 = -2 (move the constant to the right)
12x = -2 + 26 (calculate)
12x = 24 (divide both sides)
x = 2
Find the unknown length y in the pair of similar triangles.
Similar triangles have a scale factor that determine the length of each side.
15 / 7.5 = 2
The scale factor = 2
17 / 2 = 8.5
y = 8.5
Solve for y.
-16y - 7y + -5 = 18
Y =
Answer: y = - 1
Step-by-step explanation:
Combine the like terms. -23y - 5 = 18Add 5 on both sides. -23y = 23Divide -23 on both sides. y = - 1Answer:
y = -1
Step-by-step explanation:
-16y - 7y + -5 = 18
~combine like terms
-23y + (-5) = 18
~add 5 to both sides to get -23y by itself
-23y = 23
~divide by 23 on both sides to get just y by itself
-1 = y
Hope this helps!!
Please mark as brainliest, i need it to get to next lvl <3
59 in = how many feet and inches
Answer:
feet=4.91667
inches=708
Step-by-step explanation:
Answer:
4 ft. 11 in.
Step-by-step explanation:
Step 1:
59 ÷ 12
Step 2:
4 r 11
Answer:
4 ft. 11 in.
Hope This Helps :)
What is the value of each marble?
Answer:
where
is
the
attachment
bruv?
Answer:
We wouldn't know because we have no information on the marbles.
Step-by-step explanation:
6th grade math pls help
Answer:
you just estimate it. which means pick a number that you think could be the right answer. estimates can never be wrong
g the order of operations.
3(4) + 4(5)
Answer:
16
Step-by-step explanation:
3(4) + 4 (5)
4+5+9
3+4=7
7+9
16
5. A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds.
Which expression represents this situation?
A 16(-8)
B. -16(-8)
C. 16 / 8 ( / means division)
D. 16 / (-8) ( / means division)
Answer: B
Step-by-step explanation:
To find out how far the turtle went in 16 seconds you have to multiply 16 and -8
Answer:
I have the same question on test and answer is B
Step-by-step explanation:
Write the definition as a biconditional statement: Two angles are vertical angles when their sides form two pairs of opposite rays.
Answer:
Two angles are said to be vertical angles if and only if their sides form two pairs of opposite rays.
Step-by-step explanation:
A biconditional statement is one that must fulfill the two conditions of the statement for it to be true. The two required conditions in the statement are always connected by if and only if.
The required statement is: Two angles are said to be vertical angles if and only if their sides form two pairs of opposite rays
Vertical angles are equal and opposite. Therefore for the biconditional statement to be true, the angles should be vertical and their sides must form two pairs of opposite rays.
What is the equation of the line that has a slope of -2 and passes through the point (-1, 2)?
y = -2x − 4
y = -2x
y = -2x + 4
None of these choices are correct.
Answer:
The answer is
[tex]y = 2x[/tex]Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (-1 , 2) and the slope is - 2
The equation of the line is
[tex]y - 2 = - 2(x + 1) \\ y - 2 = - 2x - 2 \\ y = - 2x - 2 + 2[/tex]We have the final answer as
[tex]y = 2x[/tex]Hope this helps you
Eli ran 3/4 of a mile. Every 1/8 of a mile, he jumped over a hurdle. There was a final hurdle at the 3/4 mile park. How many hurdles did Eli jump over?
PLEASEPLEASEHELP i need
Answer:
B
Step-by-step explanation:
hope you get the best grade
What number can be added to -8 To get a sum of 0
Answer:
8.
Step-by-step explanation:
-8+8=0