Answer:
The inverse of function [tex]f(x)= (x+7)^5[/tex] is [tex]\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}[/tex]
Option A is correct option.
Step-by-step explanation:
For the function [tex]f(x)= (x+7)^5[/tex], Find [tex]f^{-1} (x)[/tex]
For finding inverse of x,
First let:
[tex]y=(x+7)^5[/tex]
Now replace x with y and y with x
[tex]x=(y+7)^5[/tex]
Now, solve for y
Taking 5th square root on both sides
[tex]\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7[/tex]
Now, replace y with [tex]f^{-1} (x)[/tex]
[tex]f^{-1} (x)=\sqrt[5]{x}+7[/tex]
So, the inverse of function [tex]f(x)= (x+7)^5[/tex] is [tex]\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}[/tex]
Option A is correct option.
Rodrigo practiced playing the guitar 16 1/3
hours over the past 3 weeks. He practiced for 5 1/4
hours during the first week and 5
2
3
hours during the second week.
How much time did Rodrigo spend practicing duri
ng the third week? Use the numbers and symbols to select the equation that represents the problem. Then solve the equation. Symbols may be used more than once or not at all.
Answer:
[tex]27\frac{1}{4}[/tex]
Step-by-step explanation:
You can first add the whole numbers together-
16+5+5 = 16+10= 26
Next, we can find a common denominator for all the fractions
since one of the denominators is 3 and the other one is 4, we can multiply them to get 12.
Now, we can change all the denominators to 12 and multiply as needed
[tex]16 \frac{1}{3} = 16 \frac{4}{12}\[/tex]
[tex]5\frac{1}{4} =5\frac{3}{12}[/tex]
[tex]5\frac{2}{3} = 5\frac{8}{12}[/tex]
Finally, we can add up the fractions
[tex]\frac{4}{12}+ \frac{3}{12} +\frac{8}{12} = \frac{15}{12} = 1\frac{3}{12} = 1\frac{1}{4}[/tex]
Now we can add the whole number total with the fraction total
[tex]26+1\frac{1}{4}[/tex][tex]= 27\frac{1}{4}[/tex]
So, our answer is [tex]27\frac{1}{4}[/tex]
Hope this helps!!!
Let me know in the comments if I should change anything or if the answer was perfect!!!
I wasn't able to select any equations because I didn't know which equations there were. :)
can you help me with all of them? like just tell me the answer please
Answer:
1: b, d
2: c
3: b, c, d
Step-by-step explanation:
Hshsgdhdhbdbdhdydh
Find the slope of the given line, if it is defined.
The line through the origin and (-9,12)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope equals
(Simplify your answer.)
B. The slope is undefined.
Answer:
The slope equals -⁴/3
Step-by-step explanation:
Slope of the line passing through the origin (0, 0) and (-9, 12):
Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{-9 - 0} = \frac{12}{-9} = -\frac{4}{3} [/tex]
Slope (m) = -⁴/3
help meeeee pleaseeeee:(
Answer:
1 to 100m..............
someone please do this and explain in detail of how you get x.
Answer:
x=8
AC=148
Step-by-step explanation:
Okay so if B is the midpoint of AC, that basically means that it's the halfway point. If B is exactly halfway between A and C, that means that the distance between A and B, and the distance between B and C is the same. In other words: AB=BC
Knowing that AB=BC, we can sub the values given by the question:
AB = BC
9x+2 = 5x+34
9x-5x = 34-2
4x = 32
x = 8
Now that we know the value of x, we can find AC, since AC=AB+BC
AC = AB + BC
= 9x+2 + 5x+34
= 14x+36
= 14(8)+36
=112+36
=148
A map is drawn so that every 1 inch on the map represents 50 actual miles. The table below can be used to record the
actual distances between towns on the map
Actual Distances and Map Distances
Actus Distance (ml.)
50
Map Discuice (in.)
1
What is the actual distance between two towns that are 4 inches apart on the map?
O 54 miles
O 80 miles
O 150 miles
O 200 miles
Answer:
200 miles
Step-by-step explanation:
one inch = 50 miles, 4 × 50 = 200
6) Solve the equation by Completing the Square. Show all the solutions.
x2 + 8x -5 = 0
Complete the equation of the line through (-6,5) and (-3,-3). Use exact numbers.
Answer:
y = - 8/3 x - 11
Step-by-step explanation:
We start by finding the slope of the segment thatjoins the two points using the slope formula:
slope = (y2 - y1) / (x2 - x1)
In our case:
slope = (-3 -5) / (-3 - -6) = -8/3
Now that we have the slope, we use the general expression for a line in slope-intercept form ( y = m x + b), requesting that one of the given points (for example point (-3, -3) )is part of the line as shown below:
y = m x + b
y = - 8/3 x + b
(-3) = - 8/3 (-3) + b
- 3 = 8 + b
b = - 11
Then the equation of the line is:
y = - 8/3 x - 11
75 miles in 3 hours ; 140 miles in 4 hours
Answer:
no
Step-by-step explanation:
75:3=25:1
140:4=45:1
Triangle ABC is congruent to triangle XYZ, as shown below.
Which of the following statements must be true?
(PLEASE HELP IF YOU CAN I WILL GIVE YOU 10 POINTS.)
Answer:
the first answer
Step-by-step explanation:
if a and x are the same and a has an angle of 45 degrees that means that x has an angle of 45 degrees
The required condition that must be true is,
(a) ∠x = 45°
(c) YZ = 3 cm
Incongruent geometry, the shapes that are so identical. can be superimposed to themselves.
Here,
For the given triangle to be congruent,
Each pair of corresponding angles and sides must be equal,
So,
(a) ∠x = 45°
When applying the cosine formula,
we get,
(c) YZ = 3 cm
Thus, the required condition that must be required to be to make the triangle congruent are,
(a) ∠x = 45°
(c) YZ = 3 cm
Learn more about congruent geometry here. https://brainly.com/question/12413243
#SPJ2
Tom enjoys going to the hardware store. In the past three
weeks, he has spent a total of $85.84 on a hammer, nail
gun, and box of nails. What amount shows his average
spending per week?
A) $14.31
B) $28.61
C) $69.93
D) $85.84
Answer:
$14.31
Step-by-step explanation:
i used math
What is the slope of the line represented by the equation y=-5x?
1
ОО
us when we o
5
Answer:
slope = -5
Step-by-step explanation:
not sure what 1 OO us when we o 5 is? but in y = mx + b, m = slope and b = y int so slope is -5 (y int is 0)
A new car depreciates 11% per year. if the new car is worth 23,882 today how much will it worth in 4 years
Answer:
Well..
Step-by-step explanation:
Do 23,882 by 11, then do the answer of that problem divided by 11 and so on
A pound of pistachios cost $16.64. What is the unit rate per ounce? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)
A. 52.90
B. 1.04
C. 12.84
D. 458
E. 5x-8y+7
F. 25.30
Answer:
a
Step-by-step explanation:
A bus company has sold 416 tickets to take people to a concert.
Each bus has 52 seats.
How many buses are needed?
PLZZ HELP, I HATE MATHS WITH A PASSION!!!!
Answer:
8
Step-by-step explanation:
416/52 = 8
1 1/4 gallons fill 5/6 of a bucket. how many gallons will it take to fill the entire bucket?
What is the distance between (-6,4) and (-6,-7)
Estimating with percents: Isaac and his sister plan to surprise their parents by buying then each a pair of shoes. They agree that Isaac will pay 68% of the price since he receives a greater allowance. Use and estimation strategy to determine how much Isaac will pay if the total bill is $97.65. Show the step-by-step process you used to solve the problem
for estimating round both the price of shoes and the percentage to round numbers
97.65 is close to 100, so use 100 for the price of shoes
68% is close to 70 so use 70%
then multiply 100 by 70 %,
100 *70% = 70 dollars
so Isaac would pay around 70 dollars
Answer:
Issac has to pay 68% and 68% as a decimal is .68 So to solve this you would multiply 97.65 x .68 = 66.40 So Isaac will pay $66.40 dollars. If you want to go even further his family would pay 31.25$ of the total cost. Hope this helps you
Step-by-step explanation:
The engineer designed the valve such that it would produce a mean pressure of 5.0 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 6 engines and the mean pressure was 5.4 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
Answer:
The calculated value t = 1.399 < 2.5705 at 0.025 level of significance
Null hypothesis is accepted
The population distribution is approximately normal
Step-by-step explanation:
Step(i):-
Given mean of the Population = 5.0
sample size 'n'= 6
The mean of the sample x=5.4 pounds /square inch
The standard deviation of the sample (S) = 0.7
Level of significance = 0.025
Null Hypothesis : The sample came from population
H₀ : x⁻ = μ
Alternative Hypothesis :H₁ : x⁻ ≠ μ
Step(ii):-
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.4 -5.0}{\frac{0.7}{\sqrt{6} } }[/tex]
t = 1.399
Degrees of freedom = n-1 =6-1 =5
The tabulated value
t = 2.5705
The calculated value t = 1.399 < 2.5705 at 0.025 level of significance
Null hypothesis is accepted
The population distribution is approximately normal
Jaida made a playlist that is 73.68 minutes long. That is 11.39 minutes longer than the last playlist she made. What was the length of Jaida's prior playlist?
Answer:
85.07
Step-by-step explanation:
you would do 73.68 + 11.39 cause it said longer than that one and just do it on your calculator and you get 85.07
hope this help :)
Answer:
62.29
Step-by-step explanation:
Just subtract 11.39 from 73.68
Jennifer spent $100 at the mall, during tax free weekend.
She purchased a pair of jeans for $55. She bought (2) t-shirts for $20. Jennifer paid $25 for a new cell-phone case.
Answer:
A.75%
Step-by-step explanation:
55+20=75 and the other percentage is 25
HELPPPPPPPPP i dont get it
Which equations support the fact that rational numbers are closed under addition?
Select each correct answer.
+0.5 = 1
3/16 +3/16 = 6/16
35+ 5 = 415
V10 + (-V10) = 0
Answer:
3/16+3/16=6/16
Step-by-step explanation:
HOPE ITS HELP YOU
The 2006 Guinness Book of World Records for the heaviest man was Manuel Uribe. He weighed 1,230 pounds. How many ounces did he weigh?
28% of the students voted for Julie as 8th grade Class President. If she got 126 votes, how
many students are in the 8th grade class?
Answer:
450
Step-by-step explanation:
[tex] \frac{28}{100} = \frac{126}{x} \\ \frac{7}{25} = \frac{126}{x} \\ 7x = 126 \times 25 \\ x = \frac{126 \times 25}{7} = 450[/tex]
or
[tex]126 \div 0.28 = 450[/tex]
What is 23x92? Give brainliest.
Answer:
2116
Step-by-step explanation:
multiplication!
Please help with this !! ASAP
Answer:
B) 12
Step-by-step explanation:
These two angles are known as same-side interior angles. These angles add up to 180°. Use this to solve for y:
9y + 7 + 7y - 19 = 180
16y - 12 = 180
16y = 192
y = 12
What is Dababy the artist real name ?
Answer:
Dominique Armani Jones
Answer:
Jonathan Lyndale Kirk is Dababy the artist real name.
Thnx for the points and May God bless you ❤
solve the questions below
Answer:
4. 50.19°
5. 25.19°
Step-by-step explanation:
4. Reference angle = x°
Opposite = 6 units
Adjacent = 5 units
Thus,
[tex] tan(x) = \frac{6}{5} [/tex]
[tex] tan(x) = 1.2 [/tex]
[tex] x = tan^{-1}(1.2) [/tex]
[tex] x = 50.19 [/tex] (nearest hundredth)
5. Reference angle = x°
Opposite = 48 - 5.2 = 42.8 ft
Adjacent = 91 ft
Thus,
[tex] tan(x) = \frac{42.8}{91} [/tex]
[tex] tan(x) = 0.47032967 [/tex]
[tex] x = tan^{-1}(0.47032967) [/tex]
[tex] x = 25.19 [/tex] (nearest hundredth)b
Jose wants new carpeting for his living room his living room is 8 m x 8 m how much carpeting does he need to buy to cover his entire living room? if carpet cost five dollars per square meter how much will he?
Answer:
64
Step-by-step explanation:
8 x 8 = 64
