The inverse of the function is f(x) = 8x – 3 and g ( x ) = x + 3/8. The correct option is B.
What is an inverse function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The inverse function of a function f in mathematics is a function that reverses the operation of f. If and only if f is bijective, then the inverse of f exists, and if it exists.
The inverse of the function is given by,
f(x) = 8x – 3 and g ( x ) = x + 3/8
The inverse of the function is calculated by dividing the function by the coefficient of x and reversing the sign of the function.
f(x) = 8x – 3
Divide the function by 8.
f(x) = ( 8x - 3 ) / 8
Reverse the sign of the function.
f(x) = ( 8x + 3 ) / 8
Simplify the function.
f(x) = ( x + 3 / 8 ).
Therefore, the inverse of the function is f(x) = 8x – 3 and g ( x ) = x + 3/8. The correct option is B.
To know more about function follow
https://brainly.com/question/2833285
#SPJ5
On a 1 mile track, Runner A has made 18 laps in the time it took Runner B to make 8 laps. If Runner A is running 5 mph faster than Runner B, how fast is each of them running?
9514 1404 393
Answer:
A: 9 mphB: 4 mphStep-by-step explanation:
Let b represent the speed of runner B. then the ratio of speeds is ...
b/(b+5) = 8/18
18b = 8(b +5) . . . . cross multiply
10b = 40 . . . . . . . . subtract 8b
b = 4 . . . . . . . . . . . divide by 10
Runner B's speed is 4 mph; runner A's speed is 5 mph more.
Runner A is running at 9 mph; Runner B is running at 4 mph.
write the next three terms of the arithmetic sequence
-3/2, -1/2, 1/2, 3/2, 5/2, __, __, __
Answer:
8/2, 11/2, 13/2
Step-by-step explanation:
You just add 2 to the top number each time and keep the bottom number as 2.
:)
A gazebo is being built near a nature trail. An equation of the line representing the nature trail is y = 13x−4. Each unit in the coordinate plane corresponds to 10 feet. Approximately how far is the gazebo from the nature trail? Round your answer to the nearest foot.
Answer:
126 feets
Step-by-step explanation:
Given that :
Equation of line repressing nature trail :
y = 13x - 4
Distance of gazebo from nature trail :
Each unit in coordinate plane = 10 feets
Hence,
y = 13(10) - 4
y = 130 - 4
y = 126 feets
Hi I really need help with questions 10 and 11, I would really appreciate it if you would answer these for me, thank you so much!!!! and if you would like you could answer number 1 too thank youuuuu, also if you would like to send the answers to my Instagram it’s habibamalikkk
Answer:-3 and -7 equals 10
Step-by-step explanation: two negatives equal a positive and vice versa. Combining those 2 gives you the highest answer
Please help! I’ll give brainliest!!!
I HATE FREAKING ONLINE SCHOOL WITH A PASSION!!
Me too, your not alone
Answer:
i feel that lol
Step-by-step explanation:
2x + y = -2
x + y = 5
The x-coordinate of the solution to the system shown is _____.
3
-7
-3
7
Answer:
The answer to da question is 3
8.
Pool X currently has 1,200 gallons of water and is being drained at a rate of 15 gallons per minute. Pool Y is currently empty and is being filled at a constant rate of 25 gallons per minute. Which inequality represents the situation when the amount of water in Pool Y is greater than the amount of water in Pool X?
1,200 - 15x > 25x
1,200 + 15x > 1,200 + 25x
1,200 - 15x < 25x
1,200 + 15x < 25x
What is the y-intercept of the graph of the linear function?
Answer:
make me the branliest the answer is C
Step-by-step explanation:
Pool X has 1200 gallons of water in it. It is being drained at a rate of 15 gallons per minute. If lowercase x is the number of minutes, then it has 1200-15x gallons left in the pool.
Consider after 1 minute we have x = 1, so,
1200-15x = 1200-15*1 = 1200-15 = 11185
Then after 2 minutes we have x = 2, which means,
1200-15x = 1200-15*2 = 1200-30 = 11170
is the amount left over in gallons.
----------------
In contrast, Pool Y is empty and we add 25 gallons per minute. So we start with 0 and add on 25x getting 0+25x = 25x as the expression representing the amount of gallons of water in Pool Y
-----------------
So we found these two expressions
1200-15x
25x
to represent the amount of water (in gallons) for Pool X and Pool Y respectively.
We want to know when Pool Y will have more water. So we get to this final answer
1200 - 15x < 25x
It is in the form A < B, where A is the amount of water in Pool X and B is the amount of water in Pool Y.
Please help I need help
WILL MARK BRAINIEST.
Draw a line representing the rise and a line representing the run of the line state the slope of the line in simplest form. NOTE- please draw a line clearly showing the rise and run and what the slope is thanks
Answer:
y=-3/2+6 (slope is -3/2)
Step-by-step explanation:
Find a point and use the rise/run method.
You go up 3 and left 2. This makes your slope
The b is 6 because that's where the line hits the y-axis
PLEASE HELP!
Use the order of operations to evaluate the expression below.
1 + 27 x (6-3) / (7 + 2) - 5
/ = DIVISION
A 10,000-gallon swimming pool needs to be emptied. Exactly 2,000 gallons have already been pumped out of the pool and into the tanker. As the pump is pumping water, the amount of water in the pool decreases at a constant rate of 720 gallons per hour. What is the slope and what is the y-intercept
Answer:
slope = -720
y-intercept: 8,000
Step-by-step explanation:
The slope in this case is a negative slope, since the word "decreased" is being used. The rate of 720 gallons per hour can be seen as -720 / 1, which gives you the -720 slope.
The y-intercept in an equation represents the initial value. Since 2,000 gallons has already been pumped out, the initial value is 8,000.
The constant rate at which the water decreases results in a straight line
function between the volume of water in the tank and time of pumping.
The slope is -720 (gal/hour)
The y-intercept is 8,000 (gallons)
Reasons:
The volume of the swimming pool = 10000 gallon
Volume of water already pumped out = 2,000 gallons
Rate at which the water is being pumped out = 720 gallons per hour
Required:
The slope and y-intercept of the function
Solution:
Volume of water in the tank = (10,000 - 20,000) gallons = 8,000 gallons
Volume of water decreasing from the tank after t hours = 720·t
Therefore;
Volume of water in the tank after t hours, is V(t) = 8000 - 720·t
Comparing the above function with the equation of a straight line, in slope
and intercept form, y = m·x + c, we have;
V(t) = -720·t + 8000
Slope, m = -720y-intercept = 8000Learn more here:
https://brainly.com/question/13881458
The quotient of eight and a number, subtracted
from five cubed
Answer:
5^3 - 8/n
Step-by-step explanation:
It helps to think backwards on these sometimes; try starting with the last value and going from there.
HTH :)
Help again please thanks guys
Answer: 42
Step-by-step explanation: This is just subtraction. You can do it one of two ways. Way one:
[tex]68\frac{1}{2} -26\frac{1}{2} =42[/tex]
Way two:
[tex]68.5 - 26.5 = 42[/tex]
Combine like terms
(x+y)+(x+y)+(x+y)+(x+y)
the combine like terms is
Answer:
It is 4x + 4y.
Step-by-step explanation:
All you have to do is add all of the y's toghther and then add all of the x's toghther.
Answer:
4x+4y
Step-by-step explanation:
Combine the four "x" so x+x+x+x likewise the four "y" y+y+y+y.
jack works after school. each day he earns a set amount, plus an hourly wage. write a linear function f jack can use to determine his pay. QUICK
Angie paid $66.50 for 3.5 yards of fabric. What is the price of 1 yard of fabric?
Answer:
$19
Step-by-step explanation:
First you need to make a equation out of given information and this will be easiest to solve as an equation.
3.5 $66.50
1 x
-----------------------
3.5:1=66.50:x
3.5x=66.50/:3.5
x=19
On the right side you put one information(in this case number of yards) and on the left other information(cost) and you make proportion from up to down and solve for x.
a light is suspended between two poles as shown. how far above the ground is the light? round to the nearest tenth of a foot
The answer is 6.6 feet above the ground
Step-by-step explanation: :)
Jack is playing an online puzzle game. He has 100 points and earns 10 points for each puzzle he solves correctly. He will advance to the next round if his score is over 250 points.
A. 10x + 250 250 D. 100x + 10 > 250
Step-by-step explanation:
the answer is 10x +100 = 250
A pogo stick bounces for 30 m in 10 S what is the bouncers average speed
Answer:
3m/s
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 5. If there were 4648 yes votes, what was the total number of votes?
Answer:
The total number of votes was 7968.
Step-by-step explanation:
From the information given, you know that the ratio of yes votes to no votes was 7 to 5 and you can use a rule of three to find the number of no votes if there were 4648 yes votes:
7 yes → 5 no
4648 yes → x
x=(4648*5)/7=3320
Now, you have to add up the amount of yes votes and no votes:
4648+3320=7968
According to this, the answer is that the total number of votes was 7968.
Arely has 4 fewer than twice as many music files as Valerie. They have a combined number of 86 music files. Which is the number of music files that Arely has?
Answer:
56 music files
Step-by-step explanation:
From the above question:
Let the number of music files
Arely has = x
Valerie has = y
Arely has 4 fewer than twice as many music files as Valerie.
x = 2y - 4
They have a combined number of 86 music files.
x + y = 86
We substitute 2y - 4 for x in the above equation
2y - 4 + y = 86
3y - 4 = 86
3y = 86 + 4
3y = 90
Divide both sides by 3
3y/3 = 90/3
y = 30
Hence, Valerie has 30 music files.
The number of music files that Arely has is calculated as:
x = 2y - 4
x = 2(30) - 4
x = 60 - 4
x = 56
Arely has 56 music files
mmon Multiple
mmon multiple (LCM) of the
10, 30, and 15
Numbers
Answer:45 ?
Step-by-step explanation:
What is the solution to this system of linear equations?
x + y = 4
x − y = 6
Group of answer choices
(4, 6)
(5, −1)
(6, 4)
(−1, 5)
Answer:
the answer is (5,-1)
Step-by-step explanation:
if you click on the image it will show you the image full screen
Answer:
It’s c
Step-by-step explanation:
2+2
will mark brainly est
Answer:
4
Step-by-step explanation:
which expressions have the same solution as 3× -4/5 mark all that apply
Answer:
Everything except second and third one
can someone please help me
Answer:
isosceles
Step-by-step explanation:
Peach Produces pays its employees by the formula, P(b)=52b+45 P b = 5 2 b + 45 , where P(b) P b is the employee’s total daily pay and b is the number of bushels of peaches picked. According to the formula, what is the rate employees are paid per bushel of peaches picked?
A $5.00
B $2.00
C $45.00
D $2.50
Answer:
$2.50
Step-by-step explanation:
Given the daily pay formula :
P(b)=5/2b+45
P(b) = employee’s total daily pay
b = number of bushels of peaches picked
Hence from the fórmula ; rate which employees are paid per bushel. Of peach picked is the gradient of the equation :
According to the intercept slope formula:
y = mx + c ; where m = slope or gradient
From the equation :
P(b)=5/2b+45
The slope or gradient is 5/2 ; hence, employees are paid $5/2 per bushel of peaches picked.
$5/2 = $2.50
carmen ran 1 3/8 miles yesterday. her sister lola ran 2 1/4 miles how much farther dad lola run than carmen show your work
Answer:
7/8 miles
Step-by-step explanation:
1/4 can be rewritten as 2/8 to have the same denominator between the two numbers. 2 2/8 - 1 3/8. 2 2/8 - 3/8 = 1 7/8. 1 7/8 - 1 = 7/8
Solve for v.
2v + 3 = 9
V =
Answer:
v equals 3
Step-by-step explanation:
2 times 3 is 6 and 6 plus 3 is 9 I hope this helps
Answer:
v = 3
Step-by-step explanation:
Given
2v + 3 = 9 ( subtract 3 from both sides )
2v = 6 ( divide both sides by 2 )
v = 3