Answers
Answer:
A
Step-by-step explanation:
Inverse means that the function is reversed from the original function, f(x).
To find the inverse function of f(x)=5x-11, add 11 to x, then divide the expression by 5.
This would be (x+11)/5.
So, you know that A is true.
Try the other selections too.
B: [tex]g(x)=x^3/2[/tex] The x should be tripled before being divided by 2; FALSE
C: [tex]g(x)=7/(x+9)[/tex] 7 should by in the numerator; FALSE
D: [tex]g(x)=6(x+8)[/tex] 8 should be added before being multiplied by 6; FALSE
I hope this helps!!!
Using composite functions, it is found that the pair of functions that are inverse of each other is given by:
A. [tex]f(x) = 5x - 11[/tex] and [tex]g(x) = \frac{x + 11}{5}[/tex]
------------------
The composite of functions f and g is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
Two functions f and g are inverse of each other if:
[tex]f(g(x)) = g(f(x)) = x[/tex]
Item a:
[tex]f(x) = 5x - 11[/tex]
[tex]g(x) = \frac{x + 11}{5}[/tex]
[tex]f(g(x)) = f(\frac{x + 11}{5}) = 5(\frac{x + 11}{5}) - 11 = x + 11 - 11 = x[/tex]
[tex]g(f(x)) = g(5x - 11) = \frac{5x - 11 + 11}{5} = \frac{5x}{5} = x[/tex]
Since [tex]f(g(x)) = g(f(x)) = x[/tex], these functions are inverse of each other.
A similar problem is given at https://brainly.com/question/23458455
Related Questions
Two different linear functions are shown below with two points given from each function Use slope-intercept form Function A has The equation of line A is or point-slope form to find the equation of each.
Linear Function A
Points : (-5, -2), (-5, 7)
Linear Function B
Points : (7, -5), (-2, -5)
Which is true about the following:
1. Function A has...
A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope
2. The equation of line A is :
A: X= -5
B: Y= -5
C: X= -2
D Y= 7
Function B has...
A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope
The equation of Line B is :
A: X= -5
B: Y= -5
C: X= -2
D: Y= 7
Answers
Answer:
This answer is option 1
Step-by-step explanation:
The awnser is No slope,x=-5,A slope of 0,and y=-5
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 26 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal. A button hyperlink to the SALT program that reads: Use SALT. (a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. % (b) If Accrotime does not want to make refunds on more than 6% of the watches it makes, how long should the guarantee period be (to the nearest month)? months
Answers
Answer:
a
[tex]P(X < 24 )= 21.186\% [/tex]
b
[tex]x = 19.78 \ months[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 26 \ months[/tex]
The standard deviation is [tex]\sigma = 4 \ months[/tex]
Generally 2 year is equal to 24 months
Generally the percentage of total production will the company expect to replace is mathematically represented as
[tex]P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
[tex]P(X < 24 )= P(Z < -0.8 )[/tex]
Generally from the z-table
[tex]P(Z < -0.8) = 0.21186[/tex]
So
[tex]P(X < 24 )= 0.21186[/tex]
Converting to percentage
[tex]P(X < 24 )= 0.21186 * 100[/tex]
=> [tex]P(X < 24 )= 21.186\% [/tex]
Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as
[tex]P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06[/tex]
=> [tex]P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06[/tex]
From the normal distribution table the z-score for 0.06 at the lower tail is
[tex]z = -1.555[/tex]
So
[tex]\frac{x - 26}{4} = -1.555[/tex]
=> [tex]x = 19.78 \ months[/tex]
can somebody help me pleaseee ?? it’s due soon & im stuck .
Answers
Answer:
a. lenqth=32 , width=2
b. m∠p=100 m∠Q=50 m∠R=30
c. XY=20 YZ=12
d.m∠1=90 m∠2=90
Step-by-step explanation:
a. the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,
1 AND 64 (this answer is suitable but it's better to choose another
one if available for more accuracy)
2 AND 32 (this is a good answer to use)
4 AND 16 (this one already used in the question)
8 AND 8 (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)
SO we will choose 2 AND 32 for the answer and we can put them in any order we want.
b. first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.
I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).
c. the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.
d. two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.
y=-7x+6 in standard form. I’ll give brainliest. Hurry pls
Answers
Answer:
7x+y=6
Step-by-step explanation:
trust
Write the equation in point-slope form of the line that passes through (7, -6) and has the slope of 1/2.
PLS HELP
Answers
Answer:
y=1/2x-6
Step-by-step explanation:
use the equation y=mx+b
m=slope and b=y-intercept.
we know that the slope is 1/2 and the point is in (x,y) form so for b we can insert the b as -6 , the point that intercepts the y-axis. hope this helps!!
If f(x) = -2 cos x, findf(-300 º). Do not use a calculator.
Answers
Answer:
- 1
Step-by-step explanation:
Using the trigonometric identity
cos(- x) = cosx and exact value cos60° = [tex]\frac{1}{2}[/tex]
Given
f(x) = - 2cosx , then
f(- 300° )
= - 2cos(- 300)°
= - 2cos(300)°
= - 2cos(360 - 300)°
= - 2cos60°
= - 2 × [tex]\frac{1}{2}[/tex]
= - 1
I need the answer real quick will someone help me
Answers
What is the solution to 4 x + 6 less-than-or-equal-to 18?
help
<3
Answers
Answer:
x is less-than-or-equal to 3
Step-by-step explanation:
4(3)+6 =18
what is 200 digits of pi
Answers
Answer:
3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359408128481 117450284102701938521105559644622948954930381964428810975665933446128475648233 786783165271201909145648566923460348610454326648213393607260249141273724587006 606315588174881520920962829254091715364367892590360011330530548820466521384146 951941511609433057270365759591953092186117381932611793105118548074462379962749 567351885752724891227938183011949129833673362440656643086021394946395224737190 702179860943702770539217176293176752384674818467669405132000568127145263560827 785771342757789609173637178721468440901224953430146549585371050792279689258923 542019956112129021960864034418159813629774771309960518707211349999998372978049 951059731732816096318595024459455346908302642522308253344685035261931188171010 003137838752886587533208381420617177669147303598253490428755468731159562863882 353787593751957781857780532171226806613001927876611195909216420198938095257201 065485863278865936153381827968230301952035301852968995773622599413891249721775 283479131515574857242454150695950829533116861727855889075098381754637464939319 255060400927701671139009848824012858361603563707660104710181942955596198946767 837449448255379774726847104047534646208046684259069491293313677028989152104752 162056966024058038150193511253382430035587640247496473263914199272604269922796 782354781636009341721641219924586315030286182974555706749838505494588586926995 690927210797509302955321165344987202755960236480665499119881834797753566369807 426542527862551818417574672890977772793800081647060016145249192173217214772350 141441973568548161361157352552133475741849468438523323907394143334547762416862
Step-by-step explanation:
Answer:3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196
Step-by-step explanation:teehee
And this one help me with
Answers
Select the correct answer.
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5
Answers
9514 1404 393
Answer:
C. y = 50x + 3.5
Step-by-step explanation:
100 miles in 2 hours is 100/2 = 50 miles per hour. Multiplying that rate by x hours gives the miles traveled in addition to the 3.5 miles so far. The appropriate equation for miles traveled is ...
y = 50x +3.5 . . . matches choice C
Answer:
Step-by-step explanation:
what is the answer to 6y * 88 = 88 * 6y
Answers
Answer:
0 or No solutions
Step-by-step explanation:
hope this helps!
What is the value of x?
Enter your answer in the box.
x =
Answers
Step-by-step explanation:
x+55+80=180(sum of triangle)
or,x+135=180
or,x=180-135
or,x=45
Therefore,x=45°
The value of X or angle C is 45 degrees.
Given:
Two angles of triangle ABC are 80 degrees and 55 degrees.
It is required to find the value third angle X of the triangle.
The sum of three angles of a triangle is 180°.
So, the third angle, X, can be calculated as,
[tex]80+55+x=180\\135+x=180\\x=45^{\circ}[/tex]
Thus, we can conclude that the value of X is 45°.
To know more about corresponding angles, refer to the link:
https://brainly.com/question/20766807
Polly stacked the tins from five boxes of cat food onto an empty shelf in a supermarket. There were 15 tins of cat food in each box. At the end of the week there were 20 tins left on the shelf. The rest of the tins had been sold. Write the number of boxes of cat food that had been sold, as: (a) A mixed number (b) An improper fraction
Answers
Answer:
(a) [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
Step-by-step explanation:
From the question,
Polly stacked the tins from five boxes of cat food onto an empty shelf and there were 15 tins of cat food in each box. That is,
5 × 15 tins of cat food were stacked onto the empty shelf.
5 × 15 = 75
Hence, 75 tins of cat food were stacked onto the empty shelf.
Also, from the question,
At the end of the week there were 20 tins left on the shelf and the rest of the tins had been sold, that is
75 - 20 tins had been sold
75 - 20 = 55
Hence, 55 tins of cat food had been sold.
To determine the number of boxes of cat food that had been sold,
Since there are 15 tins of cat food per box, then
we will divide 55 tins of cat food that had been sold by 15 tins of cat food per box
55 ÷ 15 = [tex]\frac{55}{15}[/tex]
Hence, [tex]\frac{55}{15}[/tex] boxes of cat food had been sold
(a) As a mixed number
[tex]\frac{55}{15} = 3\frac{2}{3}[/tex]
Hence, [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) As an improper fraction
[tex]\frac{55}{15} = \frac{11}{3}[/tex]
Hence, [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
Look at the picture to see question plz help quickly and step by step
Answers
Answer: 16.6
Step-by-step explanation:
HELP NOW PLZZZZZ HELPPPPPPPPPPPP
Answers
Answer:
y = 4/3x -11
Step-by-step explanation:
y = -3/4 x - 8
This is in slope intercept form
y = mx+b where the slope is -3/4
We want a slope that is perpendicular
Take the negative reciprocal
-1 ( -3/4) = 4/3
The slope of the line that is perpendicular is 4/3
Using the slope intercept form of a line is
y = mx+b
y = 4/3x+b
Substituting the point into this equation
-3 = 4/3(6) +b
-3 = 8+b
Subtract 8 from each side
-3-8 = b
-11 =b
y = 4/3x -11
How many four-digit numbers can you make with these three integers?
0, 1, 2
Answers
Answer:
I would think 2222
Step-by-step explanation:
Between the three numbers, that four-digit number is the greatest.
(Apologies if not correct)
Help me pls I’ll give brainliest to whoever can answer and explain the best
Answers
Answer:
part c hope this helps. :)
Step-by-step explanation:
11/12
2 3/4 = 11/4
11/4 divided by 3
turn the divide to multiply and write 11/4 x 1/3
answer will be 11/12
Answer:
11/12
Step-by-step explanation:
Shelby and her two friends make 3 people.
2 3/4 pies are left over
They decide to share among themselves.[3]
Change 2 3/4 to an improper fraction:2*4+3=11/4
11/4 evenly divide with 3 friends
Change the division sign to multiplication by giving the reciprocal of the number to the right[3]
11/4*1/3=11/12
What number would go into the box?
Answers
i need help answering the questions using distributive property. i already know the answers 3. will give brainliest.
Answers
Answer:
Hello
Step-by-step explanation:
by what i understood the awnser should be c
When dividing fractions, like 1/5 divided by 3/4 what do we do?
Answers
Answer:
we cry bc math is hard JKK unless ?
but fr we can write out an equation by doing (1/5 ÷ 3/4) and then switch the sign to multiplication and we can keep the first fraction the same (in this case 1/5) and then we flip the second fraction BUT when we flip the second fraction upside-down we have to change the symbol to multiplication (1/5x4/3)
then after that all we do is multiply the denominators and numerators :)
1 x 4 = 4
_______
5 x 3 = 15
answer would be 4/15
A fraction is a way to describe a part of a whole. The result of the division of the fraction is 4/15.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The division of two fractions is carried out by multiplying the dividend fraction(Numerator) by the reciprocal of the divisor fraction(Denominator).
The divisions of the given fractions are carried out as shown below.
1/5 ÷ 3/4
[tex]=\dfrac{\dfrac{1}{5}}{\dfrac{3}{4}}\\\\\\= \dfrac{1 \times 4}{5 \times3}\\\\=\dfrac{4}{15}[/tex]
Hence, the result of the division of the fraction is 4/15.
Learn more about Fraction here:
https://brainly.com/question/1301963
#SPJ2
if the centroid of the triangle formed by (x,0), (5.2) and (-8.y) is at (-2,1) then (x,y) is equal to
only proper people will be given this mark...or else will fire u from brainly...
Answers
Answer: Hola, ila munkililakum ghithishalan fee mabruk ilal habeebi
The volume, V, of a certain gas varies inversely with the amount of pressure, P. placed on it. The volume of this gas is 175
cm' when 3.2 kg/cm² of pressure is placed on it. What amount of pressure must be placed on 400 cm' of this gas?
2.86 kg/cm2
1.31 kg/cm?
7.31 kg/cm2
1.40 kg/cm2
Answers
Answer:
1.3 kg/cm
Step-by-step explanation:
if there are 689 turtles flying on clouds and 90 turtles fall and die how much turtles are flying on clouds find the answers yourself I know you can do it! :)
Answers
Answer:
599
Step-by-step explanation:
uh just subtraction
Answer:
599
Step-by-step explanation:
689-90=599
Thats pretty sad...
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area?
Answers
Answer:
315
Step-by-step explanation:
5 x 7 = 35
280 + 35 = 315
There sth answer
Answer:7 inches → 280 yards
1 inch → 280 ÷ 7 = 40 yards
5 inches → 40 x 5 = 200 yards
Area = 280 x 200 = 56 000 yards
hope this help btw i am 12
Step-by-step explanation:
A ferris wheel can accommodate 70 people in 20 minutes; how many people could ride the ferris wheel in 4 hours?
Proportional Question
Answers
Answer:
840
Step-by-step explanation:
if it can hold 70 in 20 minutes it can hold 210 in 1 hour and 4x210 equals 840
can someone help me x -y =1
and can yall explain how you solved it
Answers
Answer:
x = 1 + y
Step-by-step explanation:
add y to both sides, and that is basically it
Need helps with 45 , picture above
Answers
Answer:
Ok:
Step-by-step explanation:
We know Josh buys 3 oranges for $2 and sells 2 oranges for $3. Let's take the LCM (least common multiple) of 2 and 3. It is 6. If he buys 6 oranges, he needs $4. When he sells 6 oranges he makes $9. That is a total profit of $5. In total that means, if we multiple by 10, that means that if he sells 60 oranges, he would make $50. Thus C is the answer
HELP ASAP
Jason has $2.25 worth of dimes and quarters. He has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Jason has.
Answers
Answer:
Step-by-step explanation:
let the number of dimes=x
and number of quarters=y
x=2y
0.10 x+0.25 y=2.25
or 10x+25y=225
divide by 5
2x+5y=45
2 ×2y+5y=45
4y+5y=45
9y=45
y=45/9=5
x=2y=2×5=10
Hence dimes=10
quarters=5
Someone please help me out !!!!!!!
Answers
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[tex](9x + 17) + (3x + 7) = 180[/tex]
[tex]12x + 24 = 180[/tex]
Subtract sides 24
[tex]12x + 24 - 24 = 180 - 24[/tex]
[tex]12x = 156[/tex]
Divide sides by 12
[tex] \frac{12}{12} x = \frac{156}{12} \\ [/tex]
[tex]x = 13[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️