Step-by-step explanation:
f(x) = (x-2)/(3x+3). Let y = f(x).
Then y = (x-2)/(3x+3).
y(3x+3) = x - 2
3xy + 3y = x - 2
3xy - x = -3y - 2
x(3y-1) = -(3y+2)
x = -(3y+2)/(3y-1)
Hence, the inverse of f(x) is -(3x+2)/(3x-1).
Solve for x
6x - 2/4 =x - 2
Enter your answer in the box.
x =
Answer:
0.3
Step-by-step explanation:
you would add -2/4 to both sides and subtract x from both sides to get 5x=1.5 which you can reduce to 0.3
Which statements regarding triangle DEF are correct? Select three options.
EF is the longest side of △DEF.
DF = 6 cm
DE = 12 StartRoot 3 EndRoot cm
DF = 4 StartRoot 3 EndRoot cm
DE = 6 StartRoot 3 EndRoot cm
Answer:
Options 1, 2, and 5 are the correct ones
Step-by-step explanation:
Three times the difference of a number and 5 is 24
Answer:
Step-by-step explanation:
3(x-5)=24
6(x-2)/12=2(x+1)/7
What does x equal?
Answer:
x=6
Step-by-step explanation:
1. First, distribute the numerator. That leaves you with:
[tex]\frac{6x-12}{12} =\frac{2x+2}{7}[/tex]
2. Now, cross multiply. You should have:
[tex]7(6x-12)=12(2x+2)[/tex]
3. Next, simplify and solve the equation for x. You should have:
[tex]7(6x-12)=12(2x+2)[/tex]
[tex]42x-84=24x+24\\42x=24x+108\\18x=108x=6[/tex]
Solve the equation for x.
1/3 (6x - 15) = 1/2 (10x-4)
Answer:
x = - 1Step-by-step explanation:
[tex] \frac{1}{3} (6x - 15) = \frac{1}{2} (10x - 4)[/tex]
Expand the terms in the bracket
That's
[tex] \frac{1 }{3} \times 6x + \frac{1}{3} ( - 15) = \frac{1}{2} (10x) + \frac{1}{2} ( - 4) \\ 2x - 5 = 5x - 2[/tex]
Subtract 5x from both sides
[tex]2x - 5x - 5 = 5x - 5x - 2 \\ - 3x - 5 = - 2[/tex]
Add 5 to both sides
[tex] - 3x - 5 + 5 = - 2 + 5 \\ - 3x = 3[/tex]
Divide both sides by - 3
[tex] \frac{ - 3x}{ - 3} = \frac{3}{ - 3} [/tex]
We have the final answer as
x = - 1Hope this helps you
Solve for x. x³ = 216
(-7,6) rotated 90 degrees
For a 90 Degree rotation the original x value becomes the new y value and the new x value is the opposite of the original y value.
The answer would be (-6,-7)
1. Explain how you can use the algebraic representation to determine the new coordinates of a point.
Answer:
Begin at the point, draw a vertical line either up or down to the x-axis to get the x-coordinate.
Begin at the point, draw a horizontal line either to the left or right of the y-axis to get the y-coordinate.
Step-by-step explanation:
In a two-dimensional plane, coordinates of a point define its exact location. The coordinate plane has two axes that are perpendicular to each other which are known as the x and y axis.
To find out the coordinates of a point in the coordinate system, follow the following procedure.
Begin at the point, draw a vertical line either up or down to the x-axis to get the x-coordinate.
Begin at the point, draw a horizontal line either to the left or right of the y-axis to get the y-coordinate.
The x-coordinate and the y-coordinate determine the new coordinates of a point.
What is a set of numbers are intergers but not whole numbers or natural numbers?
If you have negative numbers anywhere in the set, then that set cannot be part of the whole numbers or natural numbers. This is because
set of whole numbers = {0,1,2,3,4,5,...}
set of natural numbers = {1,2,3,4,5,...}
The only difference is that 0 is not included in the set of natural numbers. Neither set has negative values in them.
So for instance the set {-5, 1,2,7} involves a number that is neither part of the whole numbers or natural numbers set. But every item listed is an integer
set of integers = { ..., -3, -2, -1, 0, 1, 2, 3, ... }
We can see that the integers is the set of positive and negative whole numbers, with 0 as well
Answer:
All whole numbers are integers (and all natural numbers are integers), but not all integers are whole numbers or natural numbers. For example, -5 is an integer but not a whole number or a natural number.
Step-by-step explanation:
Formulae
The formula for working out the amount of
pasta, in grams, for a meal is
Amount of pasta=125 x number of people
Work out the amount of pasta needed for
A) 2 people
B) 10 people
Answer:
A) 250
B) 1250
Step-by-step explanation:
Amount = 125 x no. People
A) amount = 125 x 2 =250g pasta
B) amount = 125 x 10 =1250g pasta.
Hope this helped!
Please help I will give out brainliest and 100 points
Answer:
The minimum thickness of the book is 53.8mm
Step-by-step explanation:
Given units/terms
400 pagesFront and back - 0.9mmEach page - 0.13mmSolution:
(0.9mm)(2) + (0.13mm)(400) = 1.8 mm + 52.mm = 53.8mm
Answer:
min. thickness of the book is 53.8mm
Step-by-step explanation:
400 pages, each page thickness = 0.13mm
front and back cover thickness = 0.9mm
total thickness of the book = front + 400 pages + back cover
total = 0.9 + (400 x 0.13) + 0.9
total = 0.9 + 52 + 0.9
total = 53.8 mm
what is the domain of the relation graphed below?
What is the value of y?
A. 36°
B.72
C. 108°
D. 54
Answer:
D. 54 degrees
Step-by-step explanation:
subtract 72 from 180 and divide by 2
8 X-6
Multiplying & dividing integers find each product
Answer:
the answer is 48
but because there is -6 the answer will be -48
If SK = 8x - 9, KF = x + 3, and SF = 7x + 4,
find SF.
Answer:
SF = 39
Step-by-step explanation:
If there are 32 students in the class and two teachers, how many feet are there?
Answer: 68
Step-by-step explanation: 32 + 2=34 34*2 + 68 2 because a person naturaly has 2 feets
Choose the answer that makes the sentence true.
integers are irrational.
No
Some
All
Answer:
Some
Step-by-step explanation:
The answer is Some
Answer:
some
Step-by-step explanation:
how many numbers are 9 units from 0
Answer:
two
Step-by-step explanation:
-9 and 9
4.61 gallons of milk is sold for $14.86. If you have $21.32 in your wallet. How many
gallons of milk you can buy?
Answer:
You can buy approximately 6.6 gallons of milk.
Step-by-step explanation:
We can solve this problem by making a proportion:
4.61 gallons/$14.86 = x gallons/$21.32
By cross-multiplying, we get:
4.61 × 21.32 = 14.86x
98.29 = 14.86x
x = 6.6 gallons
How much is a centidollar?
Answer:
1/100th of a dollar , the same value as a penny
Is it possible to draw a triangle with these measurements?
• Side lengths 2 cm, 3 cm, and 4 cm
Answer:
Yes
Step-by-step explanation:
To form a triangle, any 2 of the side lengths added together must be greater than the 3rd side. In this case 2cm + 3cm = 5cm which is greater than 4cm (the remaining side)
i need help on this math problem
Jennifer is saving money to buy a bike. The bike costs $246. She has $138 saved, and each week she adds $18 to her savings.
How long will it take her to save enough money to buy the bike?
Answer: 8 weeks
explanation: 125 + 15x = 245
You then have to subtract 125 from both sides so we can isolate our variable which will give us 15x = 120 . Divide 15 from both sides : 15x/15 = 120/15 which will give us x = 8.
(x+42)3x. solve for x
Answer: X is equal to either 0 or -42
Step-by-step explanation:
Planes A and B intersect. Vertical plane B intersections horizontal plane A at line k. Line k contains points Y and Z. Line m intersects line n at point W. Which describes the intersection of line m and line n? point W point X point Y point Z
Answer:
A.point W
Step-by-step explanation:
The point that describes the intersection of line m and line n is point W. The correct option is A.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
As it is given that Line m intersects line n at point W. Therefore, The point that describes the intersection of line m and line n is point W. Thus, the correct option is A.
Learn more about Line:
https://brainly.com/question/21511618
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3) John and his two friends went out to lunch.
Their lunches cost $7.29, $8.45, and $5.99. If
they each put in $10, how much total change will
they get back?
How much will 29
Answer:
they get 8.27$ back.
Step-by-step explanation:
Cost of lunch=$7.29+$8.45+$5.99
=$21.73
3 of them put $10 each=$10×3
$30
Total change they got back=$30-$21.73
=$8.27
Mark as a brainest answer ok
Do you think Donald Trump..... Please answer the question from the picture
Answer:
For the first it is dilation by a scale factor of 1.5. For the second it is 6. I think, sorry if they are incorrect.
Step-by-step explanation:
solve for x; 3( x +1 ) +4x +3= 34
Answer:
X=4
Step-by-step explanation:
3(X+1)+4x+3=34
3x+3+4x+3=34
group like terms
3x+4x=34-3-3
7x=28
divide by 7
X=4
Which is an accurate conclution regarding the system of equations below ? Y=2/3x-1 and Y=3-2/3x
Answer:
Lets start with the given system of linear equations In order to solve for one variable, we must eliminate the other variable. So if we wanted to solve for y, we would have to eliminate x (or vice versa). So lets eliminate x. In order to do that, we need to have both x coefficients that are equal but have opposite signs (for instance 2 and -2 ...
Step-by-step explanation:
Answer:25
Step-by-step explanation: gnfxnhhfcngn bhh fxbx
solve for p: 5(4x+p)=w