Answer:
[tex]f^{-1}(x)=\dfrac{5x-3}{2}[/tex]
f⁻¹(x) = the quantity of five x minus three, over two
C is correct
Step-by-step explanation:
Given: [tex]f(x)=\dfrac{2x+3}{5}[/tex]
We need to find inverse of function f(x)
Step 1: Set f(x)=y
[tex]y=\dfrac{2x+3}{5}[/tex]
Step 2: Switch x and y
[tex]x=\dfrac{2y+3}{5}[/tex]
Step 3: Solve for y (isolate y)
[tex]5x=2y+3[/tex]
[tex]2y=5x-3[/tex]
[tex]y=\dfrac{5x-3}{2}[/tex]
Therefore, [tex]f^{-1}(x)=\dfrac{5x-3}{2}[/tex]
Now we write as sentence form,
Inverse of f(x) is 5 times of x minus 3 over 2.
Hence, f⁻¹(x) = the quantity of five x minus three, over two
An Uber driver carries riders to and from a local airport and a neighboring suburb. Due to traffic and the time of day the driver works, the trip to the airport takes 60 minutes longer than the trip to the suburb. The car’s average speed in traffic is 30 miles per hour. Without traffic, the car travels 15 miles per hour. The equation can be used to determine how many miles apart the two locations are shown. What is the value of m, the distances between the two locations?
A) 0.5 miles
B) 22.5 miles
C) 30 miles
D) 90 miles
What is the 6th value in the sequence with the explicit formula an=−2n−14?
A −26
B −12
C −10
D 6
Slope is 3, and (1,4) is on the line
Need help on 9 and 10
A tile factory earns money by a flat fee for delivery and sales price per tile sold. For one customer the tile factory shipped 10,000 units of retail stores at the rate of $0.25 Per tile. The total tile factory earned from that sale was 3000 which of the following equation describes the revenue of the tile from this sale in terms of tiles
Sold?
A) y=0.25x+10,000
B) y=0.25x+3,000
C) y=0.25x+500
D) y=0.25x+0.25
10,000 tiles * 0.25 = 2500
3000 -2500 = 500
so the delivery fee is 500 and the tiles cost 0.25 each
so the equation would be y = 0.25x +500
Answer is C
If my son was born june 2016 what year will he graduate high school
If two siblings are boys, what is likelihood that the third sibling will also be a boy
Solve the equation.
If necessary, round to the nearest tenth.
4x^2 =81
A 20.25, -20.25
B 2.25, -2.25
C 4.5 -4.5
D 9, -9
There are 56 chickens and rabbits altogether.Each chicken has 2 legs and each rabbit has 4 legs. Total 154 legs
A sprinter can run 319 feet in 11 seconds . Find the sprinters unit rate of feet per second
Riki rides her bike 26 miles every week. What is the total numbers of miles she will ride in one dozen. What is the total number of miles she will ride in 7 weeks
Which triangle is similar to /\JKL
A. /\JKM
B. /\MKL
C. /\KML
D. /\LJK
Answer:
ΔKML Option C
Step-by-step explanation:
Given right triangle is ΔJKL
Where ∠JKL = 90°
Here KM is perpendicular to LJ.
In triangle ΔJKL & ΔKML
∠JKL ≅ ∠KML (both are right angle)
∠JLK ≅ ∠KLM (common angle in both the triangles)
So,
ΔJKL is similar to ΔKML.
That's the final answer.
I hope it will help you.
What will this problem look like? The radius, r, of a circle is one-half of the length of its diameter, d.
1. 1/2r= d
2. 2r=d
3. 1/2 + r = d
4. r= 1/2d
5. r= d/2
There is more than one answer
There are 6,657 marbles in a jar. approximately 34% are white, and the rest are black. how many black marbles are there?
To find the number of black marbles, calculate the percentage of white marbles first and then subtract it from the total marbles, there are 4,394 black marbles in the jar.
To find the number of black marbles:
Calculate the number of white marbles: 34% of 6,657 = 0.34 x 6,657 = 2,263.Subtract the number of white marbles from the total marbles to find the number of black marbles: 6,657 - 2,263 = 4,394.Therefore, there are 4,394 black marbles in the jar.
Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.
Find the average rate of change for f(x) = x2 + 9x + 18 from x = −8 to x = −2.
A)−1
B)−3
C)1
D)3
HELP WITH CALCULUS!
Create an original rational function that has at least one asymptote (vertical, horizontal, and/or slant) and possibly a removable discontinuity. List these features of your function: asymptote(s) (vertical, horizontal, slant), removable discontinuity(ies), x-intercept(s), y-intercept, and end behavior. Provide any other details that would enable another student to graph and determine the equation for your function. Do not state your function.
2x+4=9 or (2x+10)=40
Which one of these is open?
NEED ANSWER ASAP!!! THANKS!!
A fish swims at a speed of 12 miles per hour. A boy swims at a speed of 4.4 feet per second.
3 ft = 1 yd
5280 ft = 1 mi
How much faster does the fish swim than the boy in yards per minute?
The Boy: 4.4 x 60 = 264ft per minute. 264 / 3 = 88yrds Per minute
The Fish: 12 x 5280 = 63360ft hr. 5280 / 60 = 1056ft minute 1056 / 3 = 352yrds
352 - 88 = 44 yards quicker then the boy.
44 x 3 = 132 feet quicker then the boy.
Malachi took cans to the recycling plant and put them into the can-crusher one at a time. after he had already crushed some of the cans, he started recording the number of cans he crushed per minute. this table shows how many cans malachi put in the can-crusher at different times. minutes 3 5 7 9 cans crushed 49 65 81 97 what is the equation that represents malachi's situation? enter your answer in the boxes
Answer:
your answer would be y-65=8(x-5)
Seventy-five times an integer, minus 36, equals 21 times the square of the integer. Which equation could be used to solve for the unknown integer?
The equation: [tex]\( 21x^2 - 75x + 36 = 0 \)[/tex] represents "75 times an integer minus 36 equals 21 times the square of the integer."
To solve this problem, let's represent the unknown integer with the variable [tex]\( x \)[/tex]. Then we can set up the equation based on the given information.
The problem states: "Seventy-five times an integer, minus 36, equals 21 times the square of the integer."
Mathematically, this can be represented as:
[tex]\[ 75x - 36 = 21x^2 \][/tex]
So, the equation that could be used to solve for the unknown integer is:
[tex]\[ 21x^2 - 75x + 36 = 0 \][/tex]
Find the surface area of a cube with 4.1 in. edges.
Write an algebraic expression that is equivalent to the expression cot(arctan x)
The algebraic expression equivalent to cot(arctan x) is 1 / x, derived by recognizing that cot(θ) is the reciprocal of tan(θ), and tan(θ) = x for θ = tan-1(x)
To find an algebraic expression for cot(arctan x), let's follow a step-by-step transformation using trigonometric identities: cot(arctan x) is denoted as cot(tan-1(x))
First, letTherefore, the algebraic expression equivalent to cot(tan-1(x)) is 1 / x.
A neighborhood swim club charges a one-time fee of $25 to join and $85 each month. If n is the number of months of membership and t is the total amount spent, then the variables are related by the equation t = 85n + 25. Which variable is the independent variable?
Please help!
Part A: If (6^2)^x = 1, what is the value of x? Explain your answer.
Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer.
While driving in the United States, Franklin sees that the height of a tunnel is marked as 10’6”. He knows his truck is 3.3m tall. Can he drive through the tunnel?
A standard coffee mug has a capacity of 16 fluid ounces if Annie needs to fill 26 mugs with coffee how many total quarts of coffee does she need
The volume of a rectangular prism is 18 cubic ft. If the width is 6ft. and the height is 3ft. what is the length
What is the value of k?
2k+9=7−3k
To find the value of k in the equation 2k+9=7−3k, we rearrange and simplify to isolate k, resulting in k = -2/5.
To solve for the value of k in the equation 2k+9=7−3k, we must isolate the variable on one side of the equation. Let's start by adding 3k to both sides to get all the k terms on one side:
2k + 3k + 9 = 7 − 3k + 3k
5k + 9 = 7
Next, subtract 9 from both sides to get:
5k = 7 − 9
5k = −2
Now, to find the value of k, divide both sides by 5:
k = −2/5
Therefore, the value of k is −2/5.
How can you find the x-intercept of the graph of a linear equation using the equation? How is using the graph of a linear equation to find the intercepts like using the equation?