Answer:
[tex]f^{-1}(x)=\sqrt[5]{\frac{x+11}{6}}[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=6x^5-11[/tex]
To find the inverse of a function, switch f(x) and x, change f(x) to f⁻¹(x), and solve for f⁻¹(x). So:
[tex]f(x)=6x^5-11\\x=6(f^{-1}(x))^5-11[/tex]
Add 11 to both sides:
[tex]x+11=6(f^{-1}(x))^5[/tex]
Divide both sides by 6:
[tex]\frac{x+11}{6}=f^{-1}(x)^5[/tex]
Take the fifth root of each side:
[tex]f^{-1}(x)=\sqrt[5]{\frac{x+11}{6}}[/tex]
And we're done :)
Answer:
[tex]f^-^1(x)=\sqrt[5]{\frac{x+11}{6} }[/tex]Step-by-step explanation:
[tex]f(x)=6x^5-11\\[/tex]
Let y equal the equation
[tex]y =6x^5-11\\y+11=6x^5\\\\Divide\:both\:sides\:of\:the\:equation\:by \: 6\\\frac{y+11}{6} = \frac{6x^5}{6} \\\\\frac{y+11}{6} = x^5\\ \\Quatric\:root\:both\:sides\\\sqrt[5]{\frac{y+11}{6} } = \sqrt[5]{x^5} \\\\\sqrt[5]{\frac{y+11}{6} } = x\\\\f^-^1(x) = \sqrt[5]{\frac{x+11}{6} }[/tex]
Which pair of variables would most likely have a negative correlation?
A. the time spent driving in a car and the number of miles driven
B. the height of a dog in inches and the number of ounces of food the dog eats per day
C. the number of sit-ups completed and the number of calories burned during a workout
D. the time spent reading a book and the number of pages remaining to be read in the book
Answer: D
Step-by-step explanation:
The pair of variables that will most likely have a negative correlation are D. the time spent reading a book and the number of pages remaining to be read in the book.
Negative CorrelationThis means that the variables involved move in the opposite direction from each other. Means that as one variable increases, the other decreases and vice versa.If you spend a longer time reading a book, you would read more pages which would reduce the number of pages left to be read. The time taken to read the book is therefore negatively correlated with the number of pages left.
In conclusion, option D is correct.
Find out more on negative correlation at https://brainly.com/question/2476038.
Ashley has 9 pizzas .She is serving each person at a party 3/4 of a pizza.How many can she serve at the party?
Answer:
Ashley can serve 12 pieces of pizza in the party
Step-by-step explanation:
To solve this question we need to convert the 9 pizzas to decimal:
9 times 4 = 36. That is:
9 pizzas are equal to 36/4 of pizza (36/4 = 9)
As Ashley is serving 3/4 of a pizza she can serve:
36/4 ÷ 3/4 = 36/3 = 12
Ashley can serve 12 pieces of pizza in the party(Car repair) The bill for the repair of your car was $553 the cost for parts was $265 the cost for labor work was $48 per hour how many hours did the repair work take?
Answer:
6
Step-by-step explanation:
f(x) = x + 2
g(x) = x - 4
(fg)(x) =
2x-2
x² – 8
O x² – 2x-8
o x² + 2x - 8
Answer:
X^2-2x-8
Step-by-step explanation:
Edg assignment
3[10-(27 ÷9)} (Enter the numerical answer.)
Answer:
90
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
A florist has 60 tulips and 72 daffodils. The florist will make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers. What is the greatest number of bouquets the florist can make?
Answer:
12
Step-by-step explanation:
No of tulips = 60
No of daffodils = 72
We need to find the greatest number of bouquets the florist can make if the florist will make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers.
It would mean that we need to find the HCF of 60 and 72
Prime factorisation of 60 = 2×2×3×5
Prime factorization of 72 = 2 x 2 x 2 x 3 x 3
Highest common factor or HCF = 2×2×3 = 12
So, the florist can make 12 bouquets as maximum number.
1/2 n + 3 = 6 please the answer thank u
Answer:
Step-by-step explanation:
1/2 n + 3 = 6
-3 -3
1/2 = 3
Answer is 1.5=n
Answer:
n = 18
Step-by-step explanation:
(1/2)*n-3 = 6 // - 6
(1/2)*n-6-3 = 0
1/2*n-9 = 0 // + 9
1/2*n = 9 // : 1/2
n = 9/1/2
n = 18
n = 18
PLZ GIVE ME BRAINLIEST
What is the contrapositive of the following statement? If Sally is 6 feet tall, then she plays basketball. a If Sally plays basketball, then she is 6 feet tall. b If Sally is 6 feet tall, then she plays basketball. c If Sally does not play basketball, then she is not 6 feet tall. d If Sally is not 6 feet tall, then she does not play basketball.
Answer:
C. If Sally does not play basketball, then She is not 6 feet tall
Step-by-step explanation:
Represent the two statements with p and q
Given
p = Sally is 6 feet tall
q = Sally plays basketball
Required
Determine the contrapositive
For a statement
[tex]p\ -> q[/tex]
Meaning; If p then q
The contrapositive is:
[tex]\¬q -> \¬p[/tex]
Meaning: If not q, then not p
Hence;
Option C answers the question
Liam wants to buy a lead for his guitar.
It must be longer than 7.59 m.
Lead
Type Length
Lead A
7.5 m
Lead B
7.8 m
Lead C
8.3 m
Lead D
0.75 m
Answer:
can't get your question well
The values square root of 8and square root of 14 are plotted on the number line. What is the approximate in tenths between the two values
Firstly, you have to count the number of spaces between the two points on the line, which gives you 9. Now, remember that you are counting between tenths on a number line, so you divide 9 by 10 to give you your answer, 0.9.
Step-by-step explanation:
Which expression does NOT represents a number that is larger than 7,000 but smaller than
70,000?
Answer:
7x + 10
Step-by-step explanation:
-3 + 7x + 13
(7x) + (-3 + 13)
7x + 10
please help!! I don't understand this
Step-by-step explanation:
(f○g)(-3)
= f(g(-3))
g(-3) =
[tex] \frac{2}{2( - 3) - 1} [/tex]
g(-3) = -2/7
f(-2/7) = (-2/7)^2 + 2(-2/7) -4
= 4/49 - 4/7 - 4
= 4/49 - 28/49 - 196/49
= -220/49
please check again ^-^
At a grocery store, you want to buy 4 1/5 lb of chesse. What decimal should the digital scale show?
Answer:
4.02
Step-by-step explanation:
4+1/5
4+0.2
4.02
What is the area of the polygon? And how to find it
Answer:
15 Square Units
Step-by-step explanation:
if area = length x width
you take the length of 5 and multiply it by the width 3
the expression would end up looking like 5 x 3 = 15 square units
Don't forget the label <3
the quotient of k and 9 is less than 1/3
Answer:
k/9 < 1/3
k < 3
Step-by-step explanation:
quotient is division
k/9 < 1/3
Multiply each side by 9
k < 9/3
k < 3
Please guys help me when I take a picture of the question it always say something went wrong try again later I got a test seeing please help me
What is the value of ( -3.8)+0+( -0.6)+6.4 ?
Answer:
Step-by-step explanation:
-4
Answer:
2
Step-by-step explanation:
Write the equation for the line that passes through (-5, -4) and (3, 12)
Answer:
I believe it is y=2x+6.
Answer:
[tex]y=2\,x+6[/tex]
Step-by-step explanation:
Start by finding the slope of the segment that joins the two given points, using the slope formula:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{12-(-4)}{3-(-5)} =\frac{16}{8} =2[/tex]
Now, you can write the general equation of the line in slope-intercept form as:
[tex]y=m\,x+b\\y=2\,x+b[/tex]
and find the line's y-intercept (b) by using either one of the given points - for example (3, 12):
[tex]y=2\,x+b\\12=2\,(3)+b\\12=6+b\\b=6[/tex]
Therefore, the equation of the line is:
[tex]y=2\,x+6[/tex]
.If m∠ ROT = 155, what are m ∠ ROS and m∠TOS?
Can someone explain how to do it also?
Answer:
ROS=72° TOS=83°
Step-by-step explanation:
(4x-20)+(3x+14)=155
7x-6=155
7x=161
x=23
4(23)-20=72
3(23)+14=83
Answer:
ROS is 72 degrees.
TOS is 83 degrees.
Step-by-step explanation:
So we know that the measure of Angle ROT is 155.
Angle ROT is the combined value of Angle ROS and Angle TOS. In other words:
[tex]ROT=ROS+TOS[/tex]
Substitute 155 for ROT, (4x-20) for ROS, and (3x+14) for TOS. Thus:
[tex]155=(4x-20)+(3x+14)[/tex]
Combine like terms:
[tex]155=(4x+3x)+(-20+14)[/tex]
Add:
[tex]155=7x-6[/tex]
Add 6 to both sides:
[tex]161=7x[/tex]
Divide both sides by 7:
[tex]x=23[/tex]
So, the value of x is 23.
Now, plug that into each of the Angle equations to solve for each angle:
[tex]ROS=4x-20\\ROS=4(23)-20[/tex]
Multiply:
[tex]ROS=92-20[/tex]
Subtract:
[tex]ROS=72[/tex]
Same thing for TOS:
[tex]TOS=3x+14\\TOS=3(23)+14[/tex]
Multiply:
[tex]TOS=69+14[/tex]
Add:
[tex]TOS=83[/tex]
And we're done!
The point (2,6) lies on the graph of the equation y = kx^2 - 3x Find the value of K
Answer:
k = 3Step-by-step explanation:
y = kx² - 3x
Since the points lie on the graph we can substitute the values of x and y that's
( 2 ,6) into the equation to find k.
We have
6 = (2)²k - 3(2)
6 = 4k - 6
4k = 6 + 6
4k = 12
Divide both sides by k
That's
[tex] \frac{4k}{4} = \frac{12}{4} [/tex]
We have the final answer as
k = 3Hope this helps you
Choose the graph of the system of equations.
y = 2x-1
y = -x + 1
Answer:
Option B is the correct graph.
Step-by-step explanation:
The slope in the first expression is 2, the graph shows this in option B.
What percent is equivalent to 3/10? A.) 0.3% B.) 3% C.) 10% D.) 30%
Answer: 0.3
Step-by-step explanation:
A percent that is equivalent to 3/10 is: D.) 30%.
What is a percentage?In Mathematics, a percentage is any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.
By multiplying both the numerator and denominator by a common number such as 10, we have the following:
3/10 × 10/10
30/100
30%
Based on the information provided, we can logically deduce that 30% is equivalent to 3/10. Therefore, the correct answer option is: D.) 30%.
Read more on percentage here: brainly.com/question/28009735
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Find the domain and range of the function. Check all that apply.
The percentage of U.S. college freshmen claiming no religious affiliation has risen in recent decades. The bar graph shows the
percentage of first-year college students claiming no religious affiliation for four selected years from 1980 through 2012
a. Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation. Round the
percentage to the nearest tenth.
b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,
Answer:
0.5%/year
24.2%
Step-by-step explanation:
Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation
Percentage of females by year:
1980 = 6.2%
1990 = 10.8%
2000 = 13.6%
2012 = 21.7%
Average yearly increase :
Percentage increase between 1980 - 2012 :
2012% - 1980% = ( 21.7% - 6.2%) = 15.5% increase over [(2012 - 1980)] = 32 years
15.5 % / 32 years = 0.484375% / year = 0.5%/year
b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,
Given an average increase of 0.484375% / year
(2030 - 1980) = 50 years
Hence by 2030 ; ( 50 years × 0.484375%/year) = 24.218% will claim no religious affiliation.
=24.2% (nearest tenth)
In this exercise we have to use the percentage knowledge to calculate an estimate per year, in this way we find that;
A) [tex]0.5\%/year[/tex]
B) [tex]24.2\%[/tex]
Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation. Percentage of females by year:
[tex]1980 = 6.2\%\\1990 = 10.8\%\\2000 = 13.6\%\\2012 = 21.7\%[/tex]
A) Average yearly increase can be caculeted by:
[tex]2012\% - 1980\% = ( 21.7\% - 6.2\%) = 15.5\% = 32 years \\15.5 \% / 32 years = 0.484375\% / year = 0.5\%/year\\[/tex]
B) Estimate the portion of first-old age institution of higher education woman the one will claim no religious association with an organization fashionable 2030, Given an average increase of:
[tex](2030 - 1980) = 50 years\\ ( 50 years * 0.484375\%/year) = 24.2\%[/tex]
See more about percentage at brainly.com/question/1691136
The flanagans are having their fifth child. All of their childern are athletically gifted,so the youngest child is bound to be athletically gifted as well. Is this a deductive argument or inductive?
Answer: inductive argument.
Step-by-step explanation:
Deductive argument is a logical argument in which a conclusion is made upon the given premises which are assumed to be true.
inductive argument works on the basis of a series of observation and then bring it to frame a certain conclusion.
Here, Flanagans are considering the observation they made by previous children (i.e. they are athletically gifted) and applying the same on the new one by saying "youngest child is bound to be athletically gifted as well.".
So it is of-course an inductive argument.
What are the integers of 171
Answer:
56, 57, and 58.
Step-by-step explanation:
10. Ricky was in an art class in which she wanted the polygon RICKY to be transformed to
RICKY using the line p so that she could paint both of them. What kind of transformation is
this?
A. Translation
B. Reflection C.
Dilation D.
Rotation
Answer:
B. Reflection
Step-by-step explanation:
What is the average of 1.99 2.99 3.99 3.89
Answer:
3.215
Step-by-step explanation:
(1.99+2.99+3.99+3.89)÷4 (the amount of numbers being added)= 3.215
answer=3.215
Step-by-step explanation:
Hope it is helpful for you
if it is follow me
Complete the equation describing how x and y are related
Answer:
y=3x
Step-by-step explanation:
-2*3=-6
-1*3=-3
0*3=0
1*3=3
2*3=6
3*3=9
Answer:
3
Step-by-step explanation:
You can notice that each time, x is multiplied by 3 to give y.
probability!
Jasmine has a bag of colored tiles. Without looking, she removes one tile, records the color, and replaces it. She repeats this process 40 times and records the results in the table
what is the probability that Jasmine will not pick a yellow tile on her forty first time? Write your answer as a fraction in simplest form. Use the / as your fraction bar.
Answer:
26/31
Step-by-step explanation:
N(B)=12
N(G)=14
N(Y)=5
N(S)=N(B)+N(G)+N(Y)
=12+14+5
=31
Now,
P(Not getting yellow)=N(B)+N(G)/N(S)
=12+14/31
=26/31