Answers
If h⁻¹(x) is the inverse of h(x), then by definition of inverse function,
h(h⁻¹(x)) = x
Given that h(x) = 6∛(2x + 5) - 1, we have
h(h⁻¹(x)) = 6∛(2 h⁻¹(x) + 5) - 1 = x
Solve for h⁻¹(x) :
6∛(2 h⁻¹(x) + 5) - 1 = x
6∛(2 h⁻¹(x) + 5) = x + 1
∛(2 h⁻¹(x) + 5) = (x + 1)/6
[∛(2 h⁻¹(x) + 5)]³ = [(x + 1)/6]³
2 h⁻¹(x) + 5 = (x + 1)³/216
2 h⁻¹(x) = (x + 1)³/216 - 5
h⁻¹(x) = (x + 1)³/432 - 5/2
Related Questions
4t- 2=14 what is t
Could you please show your work
Answers
Answer:
t=4
Step-by-step explanation:
Let's solve your equation step-by-step.
4t−2=14
Step 1: Add 2 to both sides.
4t−2+2=14+2
4t=16
Step 2: Divide both sides by 4.
4t
4
=
16
4
t=4
Answer:
t=4
Is B the expression for the perimeter of the rectangle, in inches?
Answers
Answer:
A, C, D
Step-by-step explanation:
P = 2L + 2W
L = 5W - 2
P = 2(5W - 2) + 2W
P = 10W - 4 + 2W
P = 12W - 4
Answer choices A, C, and D = 12W - 4
I hope this helps!
that can be represented as 5w-2
the equation for perimeter is 2l+2w=p, where l is the length, w is the width, and p is the perimeter
so, plug in the equation we found into the length part of the perimeter equation and leave 2w the same
2(5w-2)+2w
that makes A correct
however, when you distribute the 2, the equation becomes 10w-4+2w
combine like terms to get 12w-4
that would make d also correct
in conclusion, a and d are the correct answers
hope that helps!!
Which figure below is a translation of this diagram?
Answers
A is a rotation, and C is a reflection over the x-axis.
Which fraction is the smallest?
A. 3/4
B. 3/5
C. 3/7
D. 3/9
Answers
Answer:
D. 3/9
Step-by-step explanation:
Attached below is a picture with each fraction illustrated.
What is the measure of z?
Answers
Annabelle measured her bedroom as 11 ft times 13 ft, which is 143 square feet. she wants to change the units to square inches. which statements should she consider when converting? check all that apply. there are 12 inches in every foot. the length and width will change by a factor of 1.2 times 10 superscript 1. the length and width will change by a factor of 1.2 times 10 superscript 0. the area will change by a factor of (1.2 times 10 superscript 1 baseline) (1.2 times 10 superscript 1 baseline) = 1.44 times 10 superscript 2 baseline = 144, since area is length times width. the area will change by a factor of 2 (1.2 times 10 superscript 1 baseline) = (2 times 10 superscript 1 baseline) (1.2 times 10 superscript 1 baseline) = 2.4 times 10 superscript 2 baseline = 240, since both the length and width increase by that factor.
Answers
There are 12 inches in every foot and the area will be increased by 144 factors.
We know that the feet and inches are the units of length. One foot is 12 inches.
The length and the breadth are given as 11 feet and 13 feet.
The area of the bedroom is 143 square feet.
We know that 1ft = 12 in
So, The length would become 11 feet to 132 inches.
The breadth would become 13 feet to 156 inches.
What is the formula for the rectangle?The area of the rectangle = length × Width
Therefore, the area of the rectangle = 132 × 156
Since area of the rectangle= 20592 in .sq
The area of the bedroom increased by 144 factors.
To learn more about unit conversion visit:
https://brainly.com/question/13016491
Answer:
There are 12 inches in every foot.
The length and width will increase by a factor of 12.
The area will increase by a factor of 144, since area is length times width.
Step-by-step explanation:
branlist ?
correct on edge 2022
Susan took out a personal loan for $3,500 at an interest rate of 13% compounded monthly. she made arrangements to pay the loan off in 3 years. what will her monthly payment be? a. $99.34 b. $105.32 c. $117.93 d. $156.60
Answers
Susan's monthly payment will be $117.93.
We have Susan take out a personal loan for $3,500 at an interest rate of 13% compounded monthly.
P=3500
r=30%
t=3
What is the amortization formula?[tex]A = \frac{P(\frac{r}{12} )}{(1 -(1 +r/12)^{(-12t)}}[/tex]
Where A is the payment,
P= principal,
r =the annual interest rate
t is the number of years.
use the given value in the formula we get
[tex]A = \frac{3500(0.13/12)}{(1 -(1 +0.13/12)^{-36} }[/tex]
A=117.9288
A= 117.93
Susan's monthly payment will be $117.93.
To learn more about the monthly payment visit:
https://brainly.com/question/25109150
Answer: C $117.93
Step-by-step explanation:
Adults can burn 210
calories per hour riding a
bike. If your bike ride was
21 hours, how many
calories would 8 adults
burn?
Answers
Answer:
210 x 21 = 4410 calories burned for 1 adult
4410 x 8 = 35280 calories burned for 8 adults
Step-by-step explanation:
First you figure out how much calories are burned total for 1 adult on a 21 hour bike ride with the information that you know of how much adults burn.
Next you multiply your answer by 8 to figure out the total of calories burned for all 8.
Step-by-step explanation:
35280 calories would be burnt.
I think it will help you.
210×21=4410
Now,
4410×8= 35280.
Find the slope of the line passing through (2, -8) and (-4, -8)
Answers
Answer:
0
Step-by-step explanation:
Given
(2, -8) → (x₁, y₁)(-4, -8) → (x₂, y₂)Formula
Slope (m) = Δy/Δx = y₂ - y₁ / x₂ - x₁Solving
m = -8 + 8 / -4 - 2m = 0Slope:-
[tex]\\ \rm\dashrightarrow m=\dfrac{-8+8}{-4-2}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{0}{-6}[/tex]
[tex]\\ \rm\dashrightarrow m=0[/tex]
Kassie and Luke timed each other during swimming practice. The speed at which swims is represented by the equation d = 1. 22t, where d is the number of meters she swims in t seconds. The speed at which Luke swims is represented in the table.
Answers
This means that a graph of Kassie speed given by the function d = 1.22t would have a slope of 1.22 m/s.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let d represent the number of meters she swims in t seconds. Hence:
d = 1.22t
This means that a graph of Kassie speed would have a slope of 1.22 m/s.
Find out more on equation at: https://brainly.com/question/1214333
WILL GIVE BRAINLIEST TO THE FIRST PERSON !!! p(a)=0.60 p(b)=0.30 and p(a and b)=0.15. What is p (A or B)?
A. 0.15
B. 0.18
C. 0.75
D. 0.90
Answers
Answer:
C. 0.75
Step-by-step explanation:
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.60 + 0.30 - 0.15
P(A or B) = 0.75
Write an equation: Ten times the number of balloons is 120
Answers
Answer:
let b = amount of balloons; 10b = 120
Step-by-step explanation:
to do this you should first have a let equation
let b = balloons
then because 10 times the number of balloons is 120 you multiply them
it looks like this
10b = 120
A state seal, which is round, hangs in the capitol building. It has a radius of 3 feet. What is the seal's area? Use 3.14 for .
Answers
Step-by-step explanation:
just apply the formula you can find immediately on the internet.
that is much faster than putting such a calculation question in here.
the area of a circle is
pi×r²
with r being the radius.
so, in our case we have
pi × 3² = pi × 9 = 28.27433388... ft²
when using 3.14 for pi we get 28.26 ft²
What is 0.02x0.02x0.020.02?
Answers
Answer:
not possable to answer.
Step-by-step explanation:
Answer:
0.000008 eight millionths is the most accurate answer I came to.
[tex]0.02 * 0.02 = 0.0004 * 0.02 = 0.000008[/tex]
Rounded to nearest whole number
Answers
Answer:
2.6
Step-by-step explanation:
Divide 8.1 by 2.5
2.6
2.6 rounded to the nearest whole number is 3
3 is your answer
HURRY 50 points solve the system using linear combination. show all work.{ 9x + 4y = 28 {2x + 4y = 0
Answers
Answer:
y = -2
x = 4
Explanation:
9x + 4y = 282x + 4y = 0
Make "x" subject in equation 2
2x + 4y = 02x = -4yx = -2yInsert this in equation 1
9(-2y) + 4y = 28-18y + 4y = 28-14y = 28y = -2Find for x
x = -2yx = -2(-2)x = 4The surface area of a cube is 216 cm3. What is the volume of the same cube?
Answers
A spinner is divided into five colored sections that are not of equal size: red,
blue, green, yellow, and purple. The spinner is spun several times, and the
results are recorded below:
Spinner Results
Color Frequency
7
16
Red
Blue
Green
Yellow
Purple
19
8
3
Based on these results, express the probability that the next spin will land on
yellow as a percent to the nearest whole number.
Answers
Answer:
15.09%
Step-by-step explanation:
Sum of frequencies = 53
Probability = 8
53
=0.1509
Expressing as a percentage
>> 15.09%
Help pls ………:.::::::::::…………
Answers
(4x2) + 1 = 9
Does the budgeted amount cover the actual amount for expenses,savings,and emergencies? A. No it’s short $207.00 B.No it’s short $227.00 C.Yes,there’s a surplus of $207.00 D yes there’s is a surplus of 227.00
Answers
Considering the differences in the budgeted and used amoints, it is found that the correct option is given by:
A. No it’s short $207.00.
In the graph, what are the differences between the budgeted and used amounts?In utilities, there was a surplus of $20.In groceries, the budget was $150 short.In clothing, the budget was $75 short.In gas, the budget was $2 short.Hence, the difference between the budgeted amount and the used amount is given by:
20 - (150 + 75 + 2) = -207.
The budget was $207 short, hence option A is correct.
A similar problem, in which an amount is studied, is given at https://brainly.com/question/25537936
What is the value of c to complete the perfect trinomial? r^2+34r+c
Answers
Answer:
c = 289
Step-by-step explanation:
The discriminant is equal to zero. a = 1, b=34
[tex]b^{2} -4ac=0\\(34)^{2} -4(1)c=0[/tex]
[tex]1156-4c=0[/tex]
[tex]-4c=-1156[/tex]
[tex]c=\frac{-1156}{-4} =289[/tex]
Hope this helps
Line segment AB was dilated by a scale factor of 12. What are the coordinates for the image A' and B' in the image?
Answers
Answer:A(24,48) B(72,24)
Please solve this one
Answers
Answer:
Step-by-step explanation:
700-90+3 HELP me ASAP
Answers
Liam is designing a patio and fountain for his backyard. The fountain will cover 50 square feet. The remaining space will be cover with tiles If one tile covers 2.25 square feet, how many tiles will Liam need?
Answers
Answer:41 tiles
Step-by-step explanation: this is assumption from other work of the 10x14.225 picture
work out the value of 21+2x when x = -2
Answers
Hey there!
21 + 2x
= 21 + 2(-2)
= 21 - 4
= 17
Therefore, your answer is: 17
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
500 Rounded to the ones place. (whole number)
Answers
Answer:
500
Remember the rounding rule for the ones place...
0 to 4? Round down or keep the same.
5 to 9? Round up.
__________________________________________________________
Questions?Ask in comments.
Can someone help me on this answer
Answers
10p
hope it really helps...!!!
Answer:
10p
Step-by-step explanation:
3 +7 =10
p+p=p
3p+7p=10p
Which of these numbers is divisible by 14
Answers
Answer:
where are the numbers
Step-by-step explanation:
Someone solve number 9 and 10 please just give answer
Answers
Answer:
9.) 37.55102% or 37.6 depending on how deep into the question you are required to go.
10.) not sure. someone else will have to help you
Step-by-step explanation: