Answers
Answer:
[tex]f^{-1}[/tex] (x) = 6 - 4x
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ( multiply through by 4 to clear the fractions )
4y = - x + 6 ( subtract 6 from both sides )
4y - 6 = - x ( multiply through by - 1 )
- 4y + 6 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 6 - 4x
Related Questions
the diameter of an iron ball used in putting the hot is 12cm the density of the iron is 7.89/cm3 calculate the mass of the ball in kg
Answers
Answer:
Step-by-step explanation:
radius r of iron ball r=12/2=6 cm
volume of iron ball=4/3 πr³
=4/3π×6³
=288 π cm³
≈288×3.14
=904.32 cm³
density=7.89gm /cm³(unit not mentioned)
mass of iron ball=904.32×7.89=7135.0848 gm.=7.135 kg
288π×7.89≈7138.703 ≈7.139 kg (if density is 7.89 gm/cm³)
Jayla made 36 sugar cookies for the class party. Before you got to class the teachers ate 9 cookies, and then your classmates ate 1/3 of the remaining cookies. How many cookies are left for you to eat?
Answers
Answer:
9 cookies are left
Step-by-step explanation:
36 - 9 = 27
27 · 1/3 = 9
What is Part 1 and Part 2? I think I have these correct.
Answers
Step-by-step explanation:
part 1. Alternate Exterior angle
part 2. 110°
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
. You want to buy a book worth Php 220.50. You can buy it only by making a sacrifice of not buying a soft drink every day. If soft drinks in your school cost Php15.75, how many days do you need to save before you can buy the book? * A. 13 B. 14 C. 15 D. 16
Answers
Answer:
B-14
Step-by-step explanation:
Divide 220.50 by 15.75 and you will get 14
Hope it can help you lovelots
The average age of kishan and dolma is 15 years and that of dolma and shaswat is 14 years .If kishan is 17 years old ,find the age of dolma and shaswat.
Help me to find answer
Answers
Answer:
dolma is 13 and shaswat is 15
Step-by-step explanation:
lets say kishan is k, dolma is d, and shaswat is 14. (k+d)/2 is 15 so k+d=30. (d+s)/2=14 so d+s=28. since k=17, d=13 and s=15
There are 600 performers in a dance recital. The ratio of men to women is 4:6 many men performers were in the dance recital?
Answers
Answer:
240
Step-by-step explanation:
From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.
Fraction of men at the recital = 4/10
Fraction of women at the recital = 6/10
The number of men performers that were in the dance recital will be:
= 4/10 × 600
= 240 men
Answer: 240 men
Step-by-step explanation:
From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.
Fraction of men at the recital = 4/10
Fraction of women at the recital = 6/10
The number of men performers that were in the dance recital will be:
= 4/10 × 600
= 240 men
Hope it helps
Angie and her friends are heading to the Glacier Heights snow park. They plan to purchase the Glacier group package, which costs $76 for 8 people. That's $2 less per person than the normal cost for an individual. What is the normal cost for an individual?
Answers
Answer
The normal cost would be $11.50
Number Explanation
1) 76 ÷ 8 = 9.5
2) 9.5 + 2 = 11.5 or 11.50
Word Explanation
First, I divided the total cost 76 by the number of people 8, to find out how much it costs per person. I got 9.5! Next, I added 2 to 9.5 because in the problem it said this is $2 less than the normal cost per person. I got 11.5! That was my answer.
Solve for x then y.
y+10=-1/6(x-6)
Answers
Answer:
y= -x/6-9
x= -6y-54
Step-by-step explanation:
Maribel will borrow $6250 at 13.5% APR. She chooses to pay it back in 2 years.
What will her monthly payment be? Use the table.
Use the rate table to figure out the monthly payments per one hundred dollars.
Answers
At a rate of 13.5% the interest per $100 is $ 4.778 per month.
Therefore, for two years the payment will be
$4.778 × 24 = $114.672 per $ 100
Therefore, the interest for a principal $6250 for two years;
(6250/100) × 114.672
= $7167
The monthly payment would therefore be
7167/24
= $298.625
≈$298.63
need desperate help thanks
Answers
Answer:
x = 158
y = 22
Step-by-step explanation:
A triangle's inside sides sum up to 180 degrees. So to find the angle y, just take 180 - the sum of the other two sides.
70 + 88 = 158
180 - 158 = 22
y = 22 degrees
Now, to find angle x, since x and y are next to each other on a straight line, it means they are supplementary angles. Supplementary angles add together to equal 180, so just substract y from 180 to get x.
180 - 22 = 158
x = 158 degrees
3. At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each of Sherri's deposits was $10 more than each deposit Sheila made. Both sisters deposited the same amount in the end. How much did each sister deposit each time?
(a) Write an equation. Let x represent the amount of one of Sheila’s deposits.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
Answers
Step-by-step explanation:
x = one deposit of Sheila
x + 10 = one deposit of Sherri
so,
6x = 5(x + 10) = 5x + 50
x = 50
x + 10 = 60
so, as check, the original equation must be true for these values :
6×50 = 5×(50 + 10) = 5×60
300 = 300
correct.
Sheila deposited 6 times $50 every time. so, in total, she deposited $300.
Sherri deposited 5 times $50+$10 = $60 every time. so, in total, she too deposited $300.
Laura is training to run a race. She keeps track of the number of miles she runs. She has been training for 5 weeks, and she has run a total
of 40 miles. At what rate has she been running, in miles per week?
Answers
Answer:
8 miles per week!
Step-by-step explanation:
40 miles / 5 weeks = 8!
so it would be 8 miles per week.
i hope this helps!!
Find the circumference and the area of a circle with diameter 6 yd.
Use the value 3.14 for T, and do not round your answers. Be sure to include the correct units in your answers.
Answers
Answer:
area = 28.27433
Circumference = 18.84956
Step-by-step explanation:
I hope that this helps!!
Katie's favorite deli has a salad bar where she can make her own salad. She has to pay $1 for the container and $3 per pound for the salad.
Write an equation that shows how the total cost, y, depends on weight of the salad in pounds, x.
Do not include dollar signs in the equation
Answers
Answer:
y = 3x + 1
Step-by-step explanation:
Answer: y = 3x + 1
Step-by-step explanation:
Following the y = mx + b theory, we can find the equation (see attached image) by plugging in two points of the hypothetical graph.
For one pound of salad, Katie will pay $4 ($3 for the salad, $1 for the container). Thus, the first point will be (1,4). For two pounds, Katie will pay $7. Thus, the second point will be (2,7).
Knowing that m (slope) = [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_1}}[/tex], we can get the equation m = [tex]\frac{7-4}{2-1}[/tex], thus telling us that m = [tex]\frac{3}{1}[/tex], or 3. Plug in 3 for m, and you get y = 3x + b.
To solve for b, lets' use the second point (2,7). Plug in the coordinates and you get 7 = 3(2) + b, or 7 = 6 + b. Subtract 6 from both sides and you get b = 1.
Plug in 1 for b and you end up with y = 3x + 1
Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 13 miles?
Answers
Answer:
390 minutes I do believe.
Step-by-step explanation:
BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3
represents the cost y of bowling x games. Interpret the parameters of the function.
Answers
9. What are all the values for y?Plug in the x value into the equation to find 1 point
y. Equation is y=-2x + 1*
Answers
Answer: C
Step-by-step explanation: see picture
Seven less than one-third a number is greater than six more than one-fourth the
number.
Answers
Answer:
The number is 60
Step-by-step explanation:
Answer 15 and 16 and get 50 points
No link
Answers
Answer:
(1) x=5 (2) I think the answer to 16 is 3/5 but not 100% sure
Step-by-step explanation:
(1) 29=5x+4
Step 1: Flip the equation.
5x+4=29
Step 2: Subtract 4 from both sides.
5x+4−4=29−4
5x=25
Step 3: Divide both sides by 5.
5x /5 = 25 /5
x=5
PLEASSEE HELP:Dits for khan
What is the constant of proportionality in the equation
y
=
1
2
x
y=
2
1
xy, equals, start fraction, 1, divided by, 2, end fraction, x?
Answers
The constant of proportionality in the equation y=1/2x
is 1/2
The direct proportionality between x and y is established by :
y α x
α = proportionality symbol
y = kx - - - (1)
Where;
y and x are the variables
k = proportionality constant
Comparing (1) with the equation given : y=1/2x y=kx
The value of k aligns with 1/2 in the given equation.
Therefore, the constant of proportionality, k in the equation is 1/2
Answer:
yo yo yo! here to help :) answer is 1/2
another word for collinear
Answers
Answer: words like straight, symmetrical, aligned.
I need help with finding the slope.
Answers
Answer:
The slope is -2
Step-by-step explanation:
Write the word sentence as an inequality.
A number b
multiplied by −5
is at most −34
.
Answers
Answer:
-5b <= -34
Step-by-step explanation:
The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.
PLEASE HELP ME I REALLY NEED HELP
Answers
Answer:
no
Step-by-step explanation:
We expect you're supposed to answer, NO. This is because an angle and two sides are specified, where the angle is not between the two sides. There is no SSA theorem for congruence, so this specification is generally considered to be insufficient.
_____
Additional comment
The given information is enough to completely specify the given triangle. The reason this is true is that the given angle is opposite the longest of the given sides. A general SSA theorem cannot guarantee that will be the case, so there is no general SSA congruence theorem.
Provided that you have corresponding side and angle information for the other triangle, congruence can be determined (yes). A single triangle by itself cannot be shown congruent to anything.
How to figure out the absolute value.
Answers
Answer:
absolute value is the same number just positive and cha never be negative.
PLS HELP ASAP ILL GIVE BRAINLKEST
Answers
Answer:
Its the bottom one x>5
Step-by-step explanation:
Kylie went into a grocery store and bought 5 apples and 4 bananas, costing a total of $10.50. Lily went into the same grocery store and bought 10 apples and 5 bananas, costing a total of $16.50. Determine the price of each apple (x) and the price of each banana (y). Remember, write it as money, with the whole and the decimal to the hundredths place!
Answers
Answer:
Apples $0.90 / Bananas $1.50
Step-by-step explanation:
So The equations would look like this
5x + 4y = 10.5
10x + 5y = 16.5
Solving for x, we get 2.1 - 4/5y
Substitute x
10(2.1 -4/5y) +5y = 16.5
Solving for y, we get 3/2 or 1.5
Substitute y
x = 2.1 -4/5(3/2)
x = 9/10
Now check the equations with the answers
5(9/10) + 4(3/2) = 10.5 -> 21/2 = 21/2
10(9/10) + 5(3/2) = 16.5 -> 33/2 = 33/2
Which means apples cost $0.90 and bananas cost $1.50
Solve 6(x - 3) + 7 = -5.
Answers
The answer will be:- x = 1
subtract 7 on both sides
then divide by 6 on both sides
finally add 3 to both sides
then u get x=1
The triangle and the rectangle below have the same area.
6 cm
wcm
6 cm
5cm
Calculate the value of w.
Show your working.
I thought it was 10 as triangle do base x height divided by 2
Answers
Answer:
look at the photo...........................Jin schedules 496 hours for a project. He plans to work 8 hours each day. How many days will it take to complete the project?
Answers
Answer:
62 days
Step-by-step explanation:
496/8 = 62
496/8=62
Hope this helps!