The function y= f(x)= [tex]x^{3}+3x-1[/tex] and a= -5 the real number is [tex]\frac{1}{6}[/tex].
y= f(x)= [tex]x^{3}+3x-1[/tex] and a= -5.
The slope of inverse functions are reciprocals at their corresponding points that is,
[tex]f^{-1}'(a)=\frac{1}{f'(b)}[/tex]
Where, [tex]f^{-1}'(a) = b[/tex] and f(b) = a
Now, determine the value of b for a= -5 using f(x)=[tex]x^{3}+3x-1[/tex]
f(b) = a
[tex]b^{3}+3b-1=-5[/tex]
[tex]b^{3}+3b= -4[/tex]
[tex]b = -1[/tex]
Therefore, [tex]f^{-1}'(a) = \frac{1}{f'(b)}[/tex]
[tex]f^{-1}'(-5)=\frac{1}{f'(-1)}[/tex]
Now, find f'(x) and evaluate it at
x= -1
f(x)=[tex]x^{3}+3x-1[/tex]
[tex]f'(x)= 3x^{2}+3[/tex]
f'(x)= [tex]3(x^{2} +1)[/tex]
then, f'(-1)= 3(1+1) = 6
Therefore, [tex]f^{-1}(-5)=\frac{1}{f^{-1}(-1)}=\frac{1}{6}[/tex].
For such more questions about function f:
https://brainly.com/question/29092274
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9. Four people are running for sheriff. A survey was randomly conducted in the countyand the results were recorded in the graphIf there are approximately 5,000 registered voters, how many more volers would be expected to vote for Ben than for Scott?
A.) 4
B.)210
C.)500
D.)400
Answer:
D.) 400
Step-by-step explanation:
I started by adding all the votes together
4+4+17+21=46
I then rounded 46 up to 50 to make the next step easier
I divided 5000 by 50 and got 100.
With that information, I can now multiply each original vote by 100 to make them more realistic to the number of voters (5000)
4*100=400
4*100=400
17*100=1700
21*100=2100
Now Ben has 2100 votes while Scott has 1700
Subtract 1700 from 2100 and you get 400
So Ben is expected to get approx. 400 more votes than Scott.
Hope I helped!! Maybe Brainliest answer?
triangle: solve for x
Answer:
6 root two
Step-by-step explanation:
geometric mean for leg t.
24*3=x2
x2=72
x=root(72)
6 root two
if my answer helps please mark as brainliest.
Luisa solves for x in the equation 9(1/3) + 8x = 4( 2x + 3/4)
Answer:
x = all real numbers because this equation is an identity
Step-by-step explanation:
9 (1/3) = 9*1/3 = 3
3 + 8x = 4(2x + 3/4)
3 + 8x = 8x + 3
x = all real numbers because this equation is an identity
Answer: − 4 cot ( − 45 )
csc(60)
sin (330)
Not 100 % sure but that's what I figured out.
PLEASEEEE I NEED IT ASAP 51 POINTS IS THE MAX I CAN GIVE PLEASEEEEE HELP ME
Answer:
A
Step-by-step explanation:
2(10+7)
2(17)
=34
Answer:
the answer is a
Step-by-step explanation:
10 times 2 plus 7 times 2=34
PLEASE ANSWER ASAP: On a farm, the farmer decides to give pizza to her 18 ducks as a special treat. She orders 3 pizzas, and the total price is $26.28. What is the unit price of each pizza? (4 points)
PLEASE SHOW STEP AND ANSWER!
Answer:
8.76
Step-by-step explanation:
$26.28 ÷3=8.76
since 26.38 is the total amount of all the 3 pizzas then we would have to divide 26.28 by the amoun of pizzas that was bought, which is 3, and you will get your answer
helpp!! plis find 4 to the x power+4 to the -x power. if os know thai 2 to the power x + 2 to the power -x =3
Answer:
166Step-by-step explanation:
Problem 2: In the AC circuit shown below, if Iz = 2ejoº A, perform the following: (a) Solve for all the other unknown voltage differences and currents indicated on the circuit. (b) Find the total impedance seen by the source. (c) Calculate the power factor of the whole circuit. (d) Evaluate the total time-average power dissipation. Useful Formulas: 7=0.5V, Palme Xpower factor = 0.5 Re(VI")=0.52. Re(z) V VA 4 HI 2 Ω -j2 Ω 112 113 +-j412 -000 j4 Ω
A group of friends were working on a student film that had a budget of $640. They spent all their budget on equipment and props. They used 15% of their budget on props. How much money did they spend on equipment?
PLEASE HELPPPPP!!!!!!!!!!
Answer:
Hi,
To fill them in your numbers are...
0, 3, 6, 9, 12, 15, 18
And when she drops 6 drops of red food coloring, she will drop 18 drops of yellow food coloring.
I hope this helps :)
Can someone help me with this
Answer:
its red
Step-by-step explanation:
math. lol
Calculate the lateral surface area of the cylinder below. Use 3.14 for pi.
Answer:
Step-by-step explanation:
Area = 2[tex]\pi[/tex]rh
=> 2 * 3.14 * 2 * 9
=> 6.28 * 18
=> 113.04Please mark as brainliest for future answers :)
HELP ME ASAP!!!! I’m very confused and I need help!! Thanks!
Answer:
Reason 2)The transitive property of congruenceStep-by-step explanation:
There are several sort of "obvious" properties of equality/congruence. Keeping them sorted out can be a bit of a trick.
A = A . . . . reflexive property
A = B ⇔ B = A . . . . symmetric property (erroneously cited in the proof)
A = B, B = C ⇒ A = C . . . . transitive property (the one needed in the proof)
__
Not to confuse the issue, but there is also the "substitution property of equality" that says if X = Y, then X can be substituted for Y or vice versa. In the end, the transitive property is an application of this, where we're substituting for B in the second equation, or for A in the first equation.
The A=B=C form of Statement 1) in the proof is what gives you the clue it is the transitive property that is wanted here.
The scatter plot shows the number of sport Utility vehicles
sold in a city from 2005 to 2010. Based on the scatter plot,
which is the best prediction of the number of sport utility
vehicles that will be sold in 2011?
Answer:
this answer wont help but please give it 5 stars. Brainly keeps bombarding me with ads. please help sos
Step-by-step explanation:
Consider the functions f(x) = 2x + 1 and g(x) = x^2 - 10. What is the value of f[g(3)]?
Answer:
f[g(x)]= 2(x^2-10)+1
2x^2-20+1
f[g(3)]=2(3)^2-20+1
18-20+1
18-19=-1
The distance that an object falls when it is dropped is directly proportional to the
square of the amount of time since it was dropped. An object falls 288 feet in 3
seconds. Find the distance the object falls in 4 seconds
Answer:
After 4 seconds, the object will have fallen 512 feet.
Step-by-step explanation:
Given that the distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped, to determine, if an object falls 288 feet in 3
seconds, the distance the object falls in 4 seconds, the following calculation must be performed:
288/3 ^ 2 = X
288/9 = X
32 = X
X / 4 ^ 2 = 32
X / 16 = 32
X = 32 x 16
X = 512
Thus, after 4 seconds, the object will have fallen 512 feet.
A narrow arch supporting a stone bridge is in the shape of half of an ellipse and is 24 meters long and 8 meters high. A person standing at one location throws a rubber ball against the arch. No matter what direction the ball is thrown it always bounces off the arch once and strikes the same point on the ground. What is the distance between he person throwing the ball and the point on the ground at which the ball first strikes
Answer:
[tex]X=17.9m[/tex]
Step-by-step explanation:
Length of arc [tex]L_a=24m[/tex]
Height of arc [tex]H_a=8m[/tex]
Tet the length on the ground be
[tex]2a=24\\ a=12m[/tex]
Generally the Pythagoras equation is mathematically given by
[tex]a^2=b^2+c^2[/tex]
[tex]c^2=a^2+b^2[/tex]
[tex]c^2=12^2+8^2[/tex]
[tex]c^2=144^2+64^2[/tex]
[tex]c=8.9[/tex]
Therefore the distance between he person throwing the ball and the point on the ground at which the ball first strikes X
[tex]X=2c\\X=2*8.9[/tex]
[tex]X=17.9m[/tex]
14 in. = _____ ft
Plzzzzzzzzzzzz help
Answer:
1.16 feet
Step-by-step explanation:
12 inches in one foot so there are 14 inches in 1.16 feet.
Find the value of x in this figure.
50
40
30
60
Answer:
the answer isnt right just trying to see if anyone else knows it
Step-by-step explanation:
answer plz no try to hack me
Answer:
8/2
Step-by-step explanation:
So you'll want to multiply the number of keys for each by the number below them. So 2/8 has 4 "x"s, so you'll want to multiply (2/8)*4 and so on.
4*(2/8)=1
4*(3/8)=12/8=>1.5
1*(4/8)=1/2
Add those all up to get 4, which is also 8/2.
Model with mathematics. Hamid has read 60 pages of the book
he will be using for a book report. If he reads 45 pages per hour, how
many hours will it take him to read at least 375 pages of the book?
Define a variable, and then write and solve an inequality to represent
this situation. Graph the solution on a number line.
Answer:
Hamid will take 8 hours and 20 minutes to read 375 pages of the book.
Step-by-step explanation:
Given that Hamid has read 60 pages of the book he will be using for a book report, if he reads 45 pages per hour, to determine how many hours will it take him to read at least 375 pages of the book the following calculation must be done:
375/45 = X
8.3333 = X
0.333 x 60 = 20
Thus, Hamid will take 8 hours and 20 minutes to read 375 pages of the book.
With this diagram, what could be the values of m and n?
Answer:
third one m=6 and n=-4/3
Answer:
m=-3/8 n=12
Since n is a whole number, the only whole number value for n in the possible answers is 12
Factor this problem. Give me a good answer.(no spam, bots, etc.)
Will give brainlyist<sorry if it isn't spelled right>to the correct answer
!!!DUE TODAY!!!
Answer:
4m(-2m+2m-1)
Step-by-step explanation:
nothing to explain because i am bad at maths.
Identify each sample as biased or unbiased and describe its type. Explain your reasoning.
PLEASE ANSWER PROPERLY AND NOT JUST TO GET POINTS OR ELSE I WILL REPORT YOU! DO NOT PUT A LINK THAT I HAVE TO DOWNLOAD. ALSO STATE WHICH ONE(S) YOU ARE DOING THANKS! <3
2. To determine the theme for the homecoming dance, the homecoming committee surveys one classroom.
6. To determine the quality of a new cell phones coming off an assembly line, the manager chooses one cell phone every 20 minutes and checks it.
8. To determine whether a candidate for a governor is popular with the voters, 30% of the citizens in each pf the 254 countries are surveyed.
AGAIN THANK YOU!
Answer:
2. biased because they're only surveying one classroom and not more
6. unbiased because I'm assuming the manager is using a different phone every 20 minutes
8. unbiased because he they surveyed many countries
Step-by-step explanation:
hope this helps sorry if incorrect have a good rest of your night/day :) ❤
can I please get brainliest
I solved this quadratic using the square root property. I did it 2 ways but I am not sure which one is correct.
Answer:
it's your second answer: )
Answer:
the one on the right
Step-by-step explanation:
:) s s
Find the values of the variable In The figure
Answer:
A. 18
Step-by-step explanation:
Sum of the measures of all the angles of a quadrilateral is 360°
Therefore,
[tex]2m \degree + 8m \degree + 6m \degree + 4m \degree = 360 \degree \\ 20m \degree = 360 \degree \\ 20m = 360 \\ m = \frac{360}{20} \\ m = 18[/tex]
If f(x) = 2x +1 and g(x) = 3x + 4 , write down (f+g) (-3)
A. -10
B. 15
C. -15
D.
10
Answer:
A
Step-by-step explanation:
(f + g)x = 2x + 1 + 3x + 4 Collect like terms
(f + g)x = 5x + 5
(f + g)(-3) = 5(-3) + 5
(f + g)(-3) = -15 + 5
(f + g)(-3) = - 10
A
How can I solve this quadratic using the square root properly?
Answer:
x = +3
Step-by-step explanation:
4x² = 36
sqareroot both side we get,
√4x² = √36
2x = 6
x = 6/2
x = +3
Thus, The answer is +3
-TheUnknownScientist
Answer:
4x^2 = 36
________ x^2 = 9. square root of 9
4. = 4. x = 3
Step-by-step explanation:
Divide both sides by 4 to isolate the square root.
So, you will end up with x^2 = 9
then take the square root of 9,
square root of 9 is 3.
So x = 3
Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
7x²/2x + 6/
3х - 5/X +3
Option (E) 7x^2/(6x-10) is the reduced form of the rational expression is the correct answer.
What is a rational expression?A rational expression is the ratio of two polynomials. It looks like fractions that have variables in their denominators. A rational expression is considered simplified if there are no common factors in its numerator and denominator.
For the given situation,
The rational expression is
7x²/(2x + 6) ÷ (3х - 5)/(x +3)
⇒ [tex]\frac{\frac{7x^{2} }{2x+6} }{\frac{3x-5}{x+3} }[/tex]
In conversion of division to multiplication, we need to change the division sign to multiplication sign and reciprocal the rational expression for simplification.
⇒ [tex](\frac{7x^{2} }{2x+6} )(\frac{x+3}{3x-5} )[/tex]
⇒ [tex](\frac{7x^{2} }{2(x+3)} )(\frac{x+3}{3x-5} )[/tex]
⇒ [tex](\frac{7x^{2} }{2(1)} )(\frac{1}{3x-5} )[/tex]
⇒ [tex]\frac{7x^{2} }{6x-10}[/tex]
Hence we can conclude that option (E) 7x^2/(6x-10) is the reduced form of the rational expression is the correct answer.
Learn more about rational expression here
https://brainly.com/question/17134322
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Pls Help!
Lauren got $321 from various relatives on her birthday. If she wants to put 20% of the money into her savings account, how much will she have left over to spend on new clothes?
Answer:
$64.20 saved
$256.80 spend on clothes
Step-by-step explanation:
321.00 x 0.20 = $64.20 saved
321.00 - 64.20 = $256.80 spend on clothes
Answer is $256.08
$321 - 20% = $256.08
Mario is arranging unit cubes. He stacks all of the cubes to make a solid figure with no gaps.
What is the volume of the figure Mario creates?
a.9 units cube
b.10 units cubed
c.6 units cubed
d.4 units cubed
Answer:
4units
Step-by-step explanation:
because he stack 4 units in right side
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
i dot know tahans for free point