Answers
Okay, so let's start with swapping all of the variables.
x = -6y + 12.
We'll start with subtracting both sides by 12. Our goal is to isolate y, and we do so by doing the inverse of the operation on each value.
Since 12 is positive, the inverse of being positive is negative. So, we shall subtract!
x - 12 = -6y + 12 - 12.
Which leaves us with x - 12 = -6y.
Since the -6 is multiplying our variable, the inverse of multiplication is division, so we shall divide both sides by -6.
[tex] \frac{x - 12}{-6} [/tex] = -6y / -6.
Which leaves us with [tex] \frac{x - 12}{-6} [/tex] = y.
Our final answer is:
[tex] f^{-1}(x) [/tex] = [tex] \frac{x - 12}{-6} [/tex].
Hopefully, this helps! =)
y = -6x + 12
Switching y and x, and then solving for y:
x = -6y + 12
6y = 12 - x
y = [tex] \frac{12- x}{6} [/tex]
Hence,
[tex] f^{-1} (x) = \frac{12- x}{6}[/tex]
Related Questions
TRUE OR FALSE
If a quadrilateral is a square, then the quadrilateral has four right angles.
Answers
Of a group of 500 people, 60 are fit enough to climb Mount Shasta in California. The group has 300 women and 200 men. 12% of the men are fit to climb the mountain. What is the probability that a person picked at random from the group is a male or is fit to climb Mount Shasta?
Answers
Answer and Step-by-step explanation:
t is 59/125. Allow me to disclose to you why P(Man∪Fit)=P(Man)+P(Fit)−P(Man∩Fit)=200500+60500−24500=59125
describe a way in which the diagram above illustrates the unique line postulate.
Answers
The product of 3 and the sum of 11 and a number
Answers
To find the product of 3 and the sum of 11 and a number, you can use the expression 3 * (11 + x), where x represents the unknown number.
Explanation:The product of 3 and the sum of 11 and a number can be expressed as 3 * (11 + x), where x represents the unknown number. To simplify the expression, we can perform the addition first: 11 + x. Then, we multiply the sum by 3: 3 * (11 + x). This gives us the final expression for the product.
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Describe how the graph of each function compares with the graph of the parent function y=log5 x+1
A: It translates the graph to the right 1 unit.
B: It translates the graph to the left 1 unit.
C: It translates the graph up 1 unit
D: There is no change in the graph.
Answers
C- it translates the graph up 1 unit.
Answer:
C
Step-by-step explanation:
[tex]y=log_5(x)+1[/tex]
Here parent function is [tex]y=log_5(x)[/tex]
If any number is added or subtracted at the end of parent function then we we move up or down
when we compare [tex]y=log_5(x)+1[/tex] with parent function , +1 is added at the end.
So the graph will be translated 1 unit up
Answer : C: It translates the graph up 1 unit
5x-2=3x+8 must find what X is equal to
Answers
First, add 2 to both sides. It would then be 5x = 3x + 10. Then subtract 3x from both sides and you would end up with 2x = 10. Divide 2x by 2 and the 10 by 2. The answer is x = 5.
2x-2=8
Add 2 to both sides
2x=10
Divide both sides by 2
x=5
Final answer: x=5
Marco has room for 15 more minutes of songs on his mp3 player. he has 3 songs to upload with the following lengths: 5.15 minutes,3.8 minutes, and 4.4 minutes. After uploading all three songs, about how many minutes will he have left?
Answers
He uploaded 3 songs with the times 5.15, 3.8, and 4.4.
5.15 + 3.8 + 4.4 = 13.35
He now added 13.35 more minutes onto his mp3 player.
To find the room in minutes he has left, subtract that number from 15.
15 - 13.35 = 1.65
He has 1.65 minutes left.
Answer: I had just read a comment you put on someone else question All you need to know is that stop being a what ever it is not letting me tip the sudmit the word and telling others to losing in class when you don’t.As you said my friend Pay attention in class “you don’t need a crazy website to tell you all your answers” send the person you said to pay attention in class the link to all your questions and this comment.Hope you learn you lesson in class about multiplication and division.I also hope you learned you lesson on not to embarrass people and if you say i did not to bad.It is people like you ever day who are lairs.
Step-by-step explanation:
An _____ angle of a triangle is equal to the sum of the two remote interior angles
Answers
For example
You have a triangle with angles 20 30 and 130
The exterior angle of 130 is 50 as 130+50=180
Angles on a straight line =180
20+30=180-130
translate into an equation:
1) The difference between a number and fifteen is seven.
2) Four more than three times a number is thirteen.
3) The sum of three consecutive odd integers is fifty-one.
Answers
1) x-15=7
2)3x+4=13
3)x+x+2+x+4=51
Hope this helped :D. Comment below if you have any questions!
Which of the following best represents √39?
A number between:
A.3 and 4
B.6 and 7
C.7 and 8
D.8 and 10
Answers
Bob has 36 candy bars and eats 29. What does he have now?
Answers
The number of candies Bob left by subtraction will be 7.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
The group's total number of items decreases or becomes lower when we subtract from it.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
As per the given,
Total number of candies = 36
Number of candies Bob ate = 29
Left out = 36 - 29 = 7
Hence "The number of candies Bob left by subtraction will be 7".
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The greatest integer function, shown below, is defined so that it produces the greatest integer __ or equal to x. f(x) = [ [x] ]
Answers
Less than or equal to X :)
The greatest integer function is defined so that it produces the greatest integer less than or equal to x
What is a function?A relation is a function if it has only One y-value for each x-value.
The greatest integer function, denoted by [x], produces the greatest integer less than or equal to x.
Let us consider a example to understand better
[3.8] = 3, [-2.4] = -3, [0] = 0, and [-7] = -7.
The function f(x) = [[x]] applies the greatest integer function twice to x
so f(x) produces the greatest integer less than or equal to the greatest integer less than or equal to x.
Hence, the greatest integer function is defined so that it produces the greatest integer less than or equal to x
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Please help me. Thnx
Answers
|-4|
4
Hope this helps!
If the altitude of an isosceles right triangle has a length of x units, what is the length of one leg of the large right triangle in terms of x?
A. x units
B. x√2 units
C. x√3 units
D. 2x units
Answers
The length of one leg of the large right triangle in terms of x is; B. x√2 units
How to find the length of a triangle?The smaller triangles ABD and BDC are isosceles triangles. Thus;
AD = BD = x
DC = BD = x
The hypotenuse AC is equal to;
AC = AD + DC
AC = x + x
AC = 2x
Using Pythagoras theorem;
AC² = AB² + BC²
AC² = 2AB²
AB = AC/√2
AB = 2x/√2
Rationalizing the denominator, we have;
AB = x√2
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10 1/2 pages are written in 4 hours. How many pages per hour?
Answers
2 5/8 pages are written per hour.
Hope this helps!
Last year ratchel contributed $105 each month toward her 401(k) account. If her employer matched 17% of her contribution,what was the total amount contributed to the 401(k) at the end of the year?
Answers
105×12 months = 1260
Her employers contributions per month
0.17×105=17.85
Amount contributed for the year
17.85×12=214.2
The total amount contributed to the 401(k) at the end of the year is
1,260+214.2=1,474.2
Hope it helps!
What are the steps to find x
Answers
2(x+5) = 8(x-3)
x + 5 = 4(x-3)
Second step: Distribute the right side:
x + 5 = 4x - 12
Third step: Subtract x from both sides:
5 = 3x - 12
Fourth step: Add 12 to both sides:
17 = 3x
Fifth step: Divide both sides by 3:
17/3 = x
Hope this helps!
If you knew the length of the opposite side and the adjacent, which formula would you use to determine the length of the hypotenuse
Answers
[tex] \sqrt{ a^{2} + b^{2} } = c [/tex]
a and b are opposite and adjacent and c is hypotenuse.
which system of inequalities is graphed below
Answers
Answer:
y > x² - 6
y < x² + 2 Option A
Step-by-step explanation:
Given that,
Two parabolic inequality's graph is given.
If we graph inequality y > x² - 6
it shaded the upper part of graph because greater than sign is given.
If we graph inequality y < x² + 2
it shaded the lower part of graph because less than sign is given.
So, common shaded part is mid of both the graph.
Final answer is:
y > x² - 6
y < x² + 2
That's the final answer.
Matt needs to make $230 for a trip. He plans on selling 16 bags of snacks to raise money. The lowest acceptable price for him to sell these to make his goal is $______.
Answers
The actual answer is 14.375, but we should round up to 14.38.
So the lowest acceptable price for Matt to sell bags of snacks is $14.38.
7533/10000 in simplest form
Answers
hope this helps
How did I get a=60 as an answered?
Answers
Rule: For any triangle, the three angles add to 180 degrees.
The angles are: 'a', 'a-30', and 90 degrees
Add them up and set the result equal to 180. Then solve for 'a'
( a ) + ( a - 30 ) + 90 = 180
(a + a) + (-30 + 90) = 180
2a + 60 = 180
2a + 60 - 60 = 180 - 60 ..... subtract 60 from both sides
2a = 120
2a/2 = 120/2
a = 60
Side Note: Since a = 60, this makes a-30 = 60-30 = 30. So the two other angles of the triangle are 60 and 30. Add up the three angles to get 30+60+90 = 90+90 = 180 so that confirms we have the right answer.
If angleA and angleB are supplementary angles, and angleA = 63°, find the measure of angleB. A. B = 27° B. B = 63° C. B = 117° D. B = 153°
Answers
Answer: C. B=117°.
Step-by-step explanation:
We know that if a pair of angle are supplementary then their sum is added up to 180 degrees.
Given : angle A and angle B are supplementary angles.
i.e [tex]\angle{A}+\angle{B}=180^{\circ}[/tex]
Also, angle A = 63°
i.e [tex]63^{\circ}+\angle{B}=180^{\circ}[/tex]
i.e [tex]\angle{B}=180^{\circ}-63^{\circ}[/tex]
i.e [tex]\angl{B}=117^{\circ}[/tex]
Hence, the measure of angleB is 117°.
Anton bought a picnic cooler. His total bill, with tax, was $7.95. He paid 6 percent sales tax. How much did he pay for the cooler alone without the tax?
For the cost of the cooler, solve:
106% of cost of cooler = $7.95
To find the total bill in terms of the cost of the cooler :
100% of cooler price
+ 6% of cooler price (tax)
--------------------------------------------
106% of cost (7.95)
Now, solve this problem.
106% of $ _______ = $7.95
Answers
this means that 1.06 of the price of the cooler is 7.95
so we can assume th
at the cooler price is x
then:
1.06 x = 7.95
Divide both sides by 1.06, we get:
x = 7.5
The price of the cooler itself without tax is $7.5
----.----.----
to check you answer:
7.5 + 7.5*6%= 7.5 + 7.5*0.06 = 7.5 + 0.45 = 7.95$
Correct!! :)
Answer:
I JUST did the test and got it right so the answer is:
Step-by-step explanation:
7.95
A school offers two summer sports: lacrosse and tennis. There are 438 students in all. Of this number, 52 participate in lacrosse and 94 participate in tennis. Nobody does both. What fraction of the students participate in a sport? Write the fraction in simplest terms.
Answers
146/438
1/3
Hope this helped!
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
We have been given that there are 438 students in all. Of this number, 52 participate in lacrosse and 94 participate in tennis.
Our required fraction would be:
[tex]\frac{\text{Students participant in lacrosse + Tennis}}{\text{Total students}}[/tex]
[tex]\frac{52+94}{438}[/tex]
[tex]\frac{146}{438}[/tex]
[tex]\frac{146*1}{146*3}[/tex]
[tex]\frac{1}{3}[/tex]
Therefore, our required fraction would be [tex]\frac{1}{3}[/tex].
Patricia is separating 16 soccer cards and 22 baseball cards into groups each group have the same number of cards madk and each group only have one kind of sports card what is the greatest number of cards she can put in each group how many groups for each type of card will be
Answers
What would be an appropriate measure to describe the size of a soccer field?
tons
square feet
cubic centimeters
miles
Answers
Tons is a unit of weight.
Cubic centimeters is way too tiny, AND is a unit of volume.
Miles is a unit of length.
Consider the polynomial 9x2 – 16. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add to get b? The factored form of 9x2 – 16 is
Answers
A C
The value of ac together is 16(9x²) or 144x²
The value of B is zero, since there is no B (b is x, (note not x², but only 1 x))
hope this helps
The value of ac for the quadratic expression 9x^2 - 16 is -144. The value of b is 0, as it represents the coefficient of x, which is absent in the expression. Therefore, we do not need two numbers that multiply to ac and add to b; the expression is factored using the difference of squares as (3x + 4)(3x - 4).
Explanation:The polynomial 9x2 − 16 is a quadratic expression that can be factored using the difference of squares method. To answer the questions:
The value of ac is the product of the coefficient of x2 and the constant term, which in this case is 9 × (− 16) = − 144.The value of b in the standard form ax2 + bx + c is the coefficient of x, which is 0 since there is no x term in the original expression.To factor, we need two numbers that multiply to ac (which is − 144) and add up to b (which is 0). However, this step is not applicable as the polynomial is already in the form a2 − b2 and will be factored as a difference of squares.The factored form of the polynomial is (3x + 4)(3x − 4).If five times the square of a certain positive number is decreased by twice the number, the result is 16. Find the number.
Answers
i need help please
what is the missing reason in the proof
Answers
AE+EB = CF+FD
and on the equation
EB = CF
Because the second equation (shown above) is true, we can effectively replace the "EB" with "CF" like so
AE+EB = CF+FD
AE+CF = CF+FD
Then we can subtract CF from both sides
AE+CF = CF+FD
AE+CF-CF = CF+FD-CF
AE = FD
When I subtracted CF from both sides, I used the Subtraction Property of Equality, which is the answer needed to go into the blank.