Answer:
f^-1(x) = -4 / x - 2
Step-by-step explanation:
First swap the x and y values. This is done by setting f(x) to x, and x to y.
f(x) = (2x - 4) / x → x = (2y - 4) / y
*Then solve for y like you would for a normal equation*
x = (2y - 4) / y
×y ×y
(multiplication property of equality)
*This will isolate the extra y term*
__________________________
xy = 2y - 4
-2y -2y
(subtraction property of equality)
*This is done to group the like terms together, because they both share a y term now*
_____________________________
xy - 2y = -4
| |
v v
( x - 2 )
(GCF)
*In this case the GCF is y because it is the factor held in common, reverse distributive property*
________________________________
y(x-2) = -4
÷(x-2) ÷(x-2)
(Division property of equality)
*This is the last and final step to isolate the y term completely, so we can find the inverse*
y = -4/x-2
*This is the inverse*
Now just set it in function form as an inverse:
y = -4/x-2 → f^-1(x) = -4/x-2
a plane flies at 500km/h. 720 km how long does it take to travel 720km?
Answer:
Step-by-step explanation:
Speed = 500km/h
Distance = 720km.
Time = ?
Use your formula:
Time = Distance / Speed
Time = 500/ 720 = 1.44 hours
Select the table that represents a linear function. (Graph them if necessary.)
Write the equation of the line in point-slope form that passes through the
given point with the given slope.
(-4, 3); m = 2
Answer:
y = 2x + 11
plug the values into y = mx+b:
3 = 2(-4) + b
solve, and you get
3 = -8 + b
b= 3+8 = 11
so, the equation is y = 2x+11
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.
A y − 0.12y
B 0.06(0.88y)
C 1.06(0.88y)
D y − 0.88y + 0.06y
Answer:
The expression that can be used to determine the final cost of the game is
1.06(0.88 y) ⇒ (C)
Step-by-step explanation:
If the price of an item is discounted, that mean its new price will be less its initial priceThe taxes on item, makes its new price greater than the initial price because tax is addLet us solve the problem
∵ Ella purchased a game that was on sale for 12% off
→ That means the new price will (100% - 12%) of the initial price
∵ y represented the initial price of the game
→ Multiply y by (100% - 12%) to get the new price
∴ The new price = y (100% - 12%)
∴ The new price = y (88%)
→ Change 88% to normal number by divide it by 100
∴ The new price = y ([tex]\frac{88}{100}[/tex])
∴ The new price = 0.88 y
∵ The sales tax in her county is 6%
→ That means the final cost will be (100% + 6%) of 0.88 y
∴ The final cost = (100% + 6%) × (0.88 y)
∴ The final cost = 106% × (0.88 y)
→ Change 106% to normal number by divide it by 100
∴ The final cost = [tex]\frac{106}{100}[/tex] × (0.88 y)
∴ The final cost = 1.06(0.88 y)
The expression that can be used to determine the final cost of the game is 1.06(0.88 y)
Answer:
C. 1.06(0.88y)
Step-by-step explanation:
PLEASE HELP QUICK WILL THANK AND GIVE BRAINLY
A doctor has office hours 3 days each week. Each day she sees 24 patients.
How many patients does she see in one year? Remember, there are 52 weeks in a year.
Answer:
3774
Step-by-step explanation:
equation
2x-1/4+x/3=2
Answer:
x=27/28
Step-by-step explanation:
Let's solve your equation step-by-step.
2x−14+x3=2
Step 1: Simplify both sides of the equation.
2x−14+x3=2
2x+−14+13x=2
(2x+13x)+(−14)=2(Combine Like Terms)
73x+−14=2
73x+−14=2
Step 2: Add 1/4 to both sides.
73x+−14+14=2+14
73x=94
Step 3: Multiply both sides by 3/7.
(37)*(73x)=(37)*(94)
x=27/28
Answer:
x=27/28
For your trip to Austin you know you are going to travel 182 miles and your car can do that in 14 gallons. How far can your car travel on 8 gallons of gas?
5.) Which point on the number line below
represents ?
A
В с
D
0
1
2
3
4
a) Point A
c) Point C
b) Point B
d) Point D
Here is a list of numbers
-45 -21 -16 12 33 40
Write down two numbers that have a difference of 29
Answer:
45 and 16 because:45 - 16 = 29
Can someone answer this for me?
answer first for brainliest
Answer:
ok
Step-by-step explanation:
expand and simple 3(x-3) - (x-4)
Answer:
Distribute the 3 to the parenthesis, and the -1 to the parenthesis.
This will result to:
3x-9-x+4
2x-5
In JL, K is the midpoint. The coordinates of J are (2, 2), and the
coordinates of Kare (10, 11). What are the coordinates of L?
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 800 grams and mass was decreasing by 13% per day. Determine the mass of the radioactive sample at the beginning of the 12th day of the experiment. Round to the nearest tenth (if necessary).
HELP ME NOW PLEASSEEE
A number line going from 2 to 3 in increments of StartFraction 1 over 10 EndFraction. Point C is between 2.3 and 2.4, point B is between 2.5 and 2.6, point A is between 2.8 and 2.9, point D is at 3.
A koala bear is approximately 2 5/6
feet tall. Which point on the number line represents this value?
A
B
C
D
Answer:
its A
Step-by-step explanation:
I got it right on edg 2020!!!!
Answer:
A
Step-by-step explanation:
just did the assigment good luck <3
Find the vertex and the axis of symmetry of the graph of y=-6(x+4)^2 – 3.
Answer:
vertex = (- 4, - 3 ), equation is x = - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 6(x + 4)² - 3 ← is in vertex form
with (h, k ) = (- 4, 3 ) ← vertex
The equation of the axis of symmetry is a vertical line passing through the vertex, with equation
x = - 4
Use the Factor Theorem to determine whether h(x) = x – 1 is a factor of f(x) = 14x^99 – 65x^56 + 51.
a. Yes
b. No
Judy works as a quality inspector on a TV assembly line. She is required to inspect 9 TVs every 30 minutes. At this rate, how many should she inspect during 5 and half hours of work?
Answer:
99 TVs
Step-by-step explanation:
5 and a half hours is about 330 minutes.
9:30 = x:330
If 30 * 11 = 330, then 9 * 11 will equal x.
Judy should inspect 99 TVs.
3/2 x -9 = 0 hiiiiiiiii please help :)
Answer:
x=6
Step-by-step explanation:
3/2x-9+9=0+9
3/2x=9
2. 3/2x=9. 2
3x=18
3x/3=18/3
x=6
Answer:
Hewo There!!
_______________________
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 6
______________________
“How wonderful it is that nobody need wait a single moment before starting to improve the world.” – Anne Frank
______________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
You are having a pizza-making party for a number of people. You will need 6 ounces of dough and 4 ounces of sauce for each person at this party. If you used a total of 130 ounces of dough and sauce all together,
Answer:
13
Step-by-step explanation:
I can't see the rest of the question but im assuming it's asking how many people there are so you add the 6 and 4 together which makes 10 and divide 130 by 10 because its 10 ounces all together for each person which makes 13. I'm really sorry of this is wrong but im assuming that is the answer because that is what the question looks like its asking
Answer:13
Step-by-step explanation:
not sure if correct but
10. -4x + 7 = 15; -2 and tell whether the given number is a solution of each equation
Answer:
[tex]x = - \frac{3}{2} [/tex]
Step-by-step explanation:
-4x+7=15-2
subtract number 15-2
-4x+7=13
-4x=13-7
-4x=6
divide
x=-3 over 2
what rational number lies between 4/3 and 1.666666
Answer:
−26 and −16 is −14.
Step-by-step explanation:
Can y’all help me please:)
Answer:-9
Step-by-step explanation:
that is the answer
Irma is just learning to play the Happy Fairies video game. In the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens. Irma had a total of – 5 points. Then, her fairy house fell over in the wind and she got – 3 points. How many total points does Irma have now?
Answer: -8 points
Step-by-step explanation:
From the question, we are informed that Irma is just learning to play the Happy Fairies video game and that in the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens.
We are told that Irma had a total of –5 points, then, her fairy house fell over in the wind and she got –3 points.
Her total points now will be the addition of -5 and -3. This will be:
= -5 + (-3)
= -5 - 3
= -8
Note that minus multiplied by plus is minus.
Answer: -8
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is
12x – 9y = 135. Fully reduce your answer.
Answer:
The slope is -9/12
Step-by-step explanation:
First find the slope of the given line:
12x - 9y = 135 → -9y = -12x + 135 → y = 12/9 - 15
The perpendicular slope is a slope that is the reciprocal and is the opposite charge of the given slope.
So the answer would be -9/12, which is 12/9 but flipped upside down and is negative.
PLEASE PLEASE HELP!!!!WILL MARK BRAINLIEST
mr george has a bank balance of 42 dollar at the start of the mouth.after he depostite 6 dollar the new balance is
Answer:
48 dollars.
Step-by-step explanation:
If Mr. George starts with 42, and adds 6, his new balance should equal 48 because you add the two numbers.
A person who weighs 150 pounds on Earth will weigh 405 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth? *
Answer:
324
Step-by-step explanation:
Plz help me I’ll give brainliest!!
Answer:
k = 1
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (4, 1 )
with k = 1
One day, the principal announces the cancelation of classes to two teachers, each whom sends this to two other teachers, and so on. Suppose that text messages were sent in five rounds, counting the principal’s text message as first, how many text messages were sent in all?
Answer:
62
Step-by-step explanation:
2 + 4 + 8 + 16 + 32 = 62
If each person sends 2 texts each, then you basically multiply by 2 every round