Answer:
5x/x-2
Step-by-step explanation:
rewrite it as x=2y/y-5 to make y the subject
multiply by (y-5) on both sides to get x(y-5)=2y
simplify x(y-5)=2y to get xy - 5x = 2y.
in order to get y as a subject you would need to move all the (y)s to one side.
Which would leave you with xy - 2y = 5x. you can now make y the subject from here through factorisation : y(x-2)=5x.
Then to finish with y as a subject divide (x-2) on both sides to get the answer which is : y = 5x/x-2
Sorry if this is confusing but this is me explaining how my thought process works for this question.
The inverse of the function will be -
f⁻¹(x) = 5/(1 - 2/x)
What is inverse of function? What is a mathematical equation? What do you mean by domain and range of a function?In mathematics, the inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by [tex]{\displaystyle f^{-1}.}[/tex]A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given is f(x) = 2x/(x - 5)
We have -
y = 2x/(x - 5)
replace [x] with [y] as -
x = 2y/(y - 5)
Solving for y -
y/(y - 5) = x/2
(y - 5)/y = 2/x
(y /y - 5/y) = 2/x
(1 - 2/x) = 5/y
y = 5/(1 - 2/x)
f⁻¹(x) = 5/(1 - 2/x)
Therefore, the inverse of the function will be -
f⁻¹(x) = 5/(1 - 2/x)
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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2x + 3y = -1
5r 2y = 12?
what is 35% of 60
whoever gets right will get brainliest
Answer:
21
Step-by-step explanation:
To do this, convert 35% to a decimal, so 35% = 0.35. Then, you just have to multiply 0.35*60 = 21
HELP 5TH GRADE QUESTION!!!
Question 2 (1 point)
What is the decimal number 34.576 written in expanded form?
a
3x10 + 1x1 + 5 x
+ 4x
1.000
*(+)+7x(100)
xo
b
3x10 + 3 x 1+ 6 x
+ 7x
+ 5x
1,000
с
1
3x10 + 7x1 + 5 x
+ 4x
1
+ 6x
1,000
100
d
3x10 + 4x1+5 x
+ 7x
(100)
+ 6 x
1.000)
1
1,000
Answer:
Step-by-step explanation:
Right answer gets brainlist
105 i think nvm not corrupted picture
Please help!!!!! will give brainliest!!! thank you so so so much, I really appreciate it
Answer:
C
Step-by-step explanation:
Firstly, we will identify the angle that has the given cosine value
From what we can see, the arc cos of this value is 45 degrees
but, as we can see, the value is negative
On the quadrants, the value of cosine is negative on the 2nd and 3rd quadrant
2nd quadrant ranges from 90 - 180
That is pi/2 to pi
3rd ranges from 180 to 270
That is pi to 3pi/2
Kindly recall, we are considering angles from -360 to 360
So what this mean is that we will consider angles that are negative of what we have as positive angles on the first and fourth quadrant on which cosine is positive
Thus, we have the following;
5pi/4 is same as 225 degrees
This is on the 3rd quadrant, and cosine is negative there
7pi/4 is same as 315 and this is on the fourth quadrant
This is expected to be negative because normally, cosine is positive on that axis and what we have should be negative
3pi/4 is same as 135
This is on the second quadrant and normally, cosine is negative here so we do not need to negate the angle measure
pi/4 is on the first quadrant and cosine is positive here;
Since the value we have here is positive, we have to negate the angle measure
So the correct angles are;
negative pi/4
positive 3pi/4
positive 5pi/4
negative 7pi/4
Each side length of the triangle is doubled. What is the area of the new figure?
Answer:
I think it's 3,600
Step-by-step explanation:
multiplication
Solve the equation for m. Show your work on the canvas. Move -n by using opposite operation. Then just write the equation as is. This is a one step equation. 4=m−n
Answer:
m = 4+n
Step-by-step explanation:
Given the expression 4 = m-n, we are to make m the subject of the formula
From the equation
4 = m-n
Rearrange
m-n = 4
Add n both sides of the equation
m-n+n = 4+n
m+0 =4+n
m = 4+n
Hence the expression for m is given as m = 4+n
Wal-Mart has two sizes of shampoo boles in stock. The 16 fl oz. Cost $6.19 and the 13.5 fl oz. Cost $ 3.99. Which size is the beer buy? Round to the nearest cent.
Answer:
Shampoo one is a better buy
Step-by-step explanation:
Step one:
given data
The 16 fl oz. Cost $6.19 and
The 13.5 fl oz. Cost $ 3.99
Required
The better buy/ unit cost
Step two:
shampoo one
unit cost = 16/6.19
=$2.58 per fl oz
shampoo two
unit cost = 13.5/3.99
=$3.38 per fl oz
Find the equation of the straight line which passes through the point (2,3) and is
inclined at 30° to the positive direction of the x-axis.
Answer: y = 1.73*x - 0.46
Step-by-step explanation:
For a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:
Tan(A) = a.
in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:
A + 30° = 90
A = 90° - 30° = 60°
Then the slope is:
a = Tan(60°) = 1.73
Then we have the equation:
y = 1.73*x + b
And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.
3 = 1.73*2 + b
3 - 1.73*2 = b = -0.46
Then the equation is:
y = 1.73*x - 0.46
Mary Beth could jump 42 times each minute. How many times could she jump in two hours explain to me step by step
Answer:
5,040 jumps
Step-by-step explanation:
Let's figure out the number of jumps per hour
42 steps/minute * 60 minutes/hour = 2,520 jumps/hour
Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.
2,520 jumps/hour * 2 hours = 5,040 jumps
3.5s + 5.1s simplified
Answer:
\[v(t)=\underset{\text{Δ}t\to 0}{\text{lim}}\frac{x(t+\text{Δ}t)-x(t)}{\text{Δ}t}=\frac{dx(t)}{dt}.\]
Step-by-step explanation:
1. Use the Pythagorean Theorem to find x.
19
16
find the midpoint between the points in the graph.
Can someone please help
Answer: I would think that the midpoint is (2,3)
Step-by-step explanation: Because I have eyes
Use guess and check to solve for the unknown number.
The quotient of eighteen and a number is three. What is the number?
Which statements about the problem are true? Check all that apply.
This is a multiplication problem.
This is a division problem.
Multiply 18 by 3.
Divide 18 by different numbers until you get 3.
The quotient of eighteen and six is three.
The quotient of eighteen and fifty-four is three.
Answer:
This is a division problem.
Divide 18 by different numbers until you get 3.
The quotient of eighteen and six is three.
Step-by-step explanation:
help me plz this is my last question finally! will mark brainliest
I just learned this kind of confused :(
Answer:
9.4247
Step-by-step explanation:
c= πd, c=(3.14)d , 3 is the diameter so we put it in the d spot. So c=(3.14)3 and you multiply those together to get the circumference.
Alfonso scored 18 points during his last basketball game, which was 10% of the points the entire team scored.
The entire team scored
points
Answer:
Alfonso scored 18 points We are told that is 10% Hence the team is missing 90% So x × .10= 18Hence x= 180 which is the total team pointsSimplify 3/100 + 33/100 Correct to
1 decimal place
Answer:
9/25 = 0.36
Step-by-step explanation:
CLICK THAT CROWN AND THANK YOU BUTTON
Answer:
9/25 = 0.36
Step-by-step explanation:
Simplify the expression so there’s only one positive power for the base, -5.
Given:
The expression is
[tex](-5)^7\div (-5)^2[/tex]
To find:
The simplified form of the given expression so there is only one positive power for the baser -5.
Solution:
We have,
[tex](-5)^7\div (-5)^2[/tex]
[tex]=\dfrac{(-5)^7}{(-5)^2}[/tex]
Using the properties of exponents, the given expression can be written as
[tex]=(-5)^{7-2}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]=(-5)^{5}[/tex]
Here, the base is -5 and the exponent is 5.
Therefore, the correct option is C.
please please please.
write an equation in slope-intercept form perpendicular to the given equation through the given point
Y = -3x + 4
(6,-2)
Answer:
y = (1/3)x - 4
Step-by-step explanation:
Any line perpendicular to the given equation y = -3x + 4 will have a slope which is the negative reciprocal of -3; that is, +1/3.
Start with the general slope-intercept form y = mx + b.
Insert the coordinates 6 and -2 into y = mx + b: -2 = (1/3)(6) + b, or
-2 = 2 + b. Thus, b = -4, and the desired equation is
y = (1/3)x - 4
Help!!!!!! Find x and y so the quadrilateral is a parallelogram.
Answer:
Conclusion:
The value of x = 7The value of y = 4Step-by-step explanation:
Given
The parallelogram PQRSWe know that the diagonals of a parallelogram bisect each other.
Therefore,
RT = TPGiven RT = x and TP = 5x-28, so
x = 5x-28
5x = x+28
5x-x = 28
4x = 28
divide boh sides by 4
4x/4 = 28/4
x = 7
Thus, the value of x = 7
Similarly,
QT = TS
Given QT = 5y and TS = 2y+12, so
5y = 2y+12
5y-2y = 12
3y = 12
divide both sides by 3
3y/3 = 12/3
y = 4
Thus, the value of y = 4
Conclusion:
The value of x = 7The value of y = 4Help help plz branist points
Special Right Triangles
Need help don’t understand this.
Answer:
d
Step-by-step explanation:
Answer:
fourth option
Step-by-step explanation:
Since the sides are congruent, then the diagonal divides the square into 2 right isosceles triangles.
Thus the 2 base angles are congruent with measure 45°
Hence y = 45
-------------------------------------------------------------
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 10[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 5[tex]\sqrt{2}[/tex]
lus
MZABC = 40°and BÓ is the angle
bisector of LABC
By+6
B
3x-1
342x
D
57-18
X=[ ? ]
Enter
Answer:
x = 7
Step-by-step explanation:
Since, BD is the angle bisector of ∠ABC,
By angle bisector theorem,
∠ABD ≅ ∠CBD
m∠ABD = m∠CBD
(3x - 1) = (34 - 2x)
3x + 2x = 34 + 1
5x = 35
x = 7
Answer:
7
Step-by-step explanation:
Sorry the pic looks like that but help me pleasee
Hey can yall help me with this question thank you
Step-by-step explanation:
a. 2x+5
b. 3x+5
c. 5x+4
i hope it will help you
it’s due today and I have no idea what to do!! someone please help me ://
Answer:
[tex]3 \sqrt{5} [/tex]
Convert 30% into a fraction and shade the circle according to the result.
Answer:
3/10 shade 3 in
Step-by-step explanation:
Tyler's brother earns a commission. He makes 2.5% of the amount he
sells. Last week, he sold $900 worth of shoes. How much was his
commission?
Answer:$22.50
Step-by-step explanation:
2.5/100=0.025
900*0.025=22.50
so he made $22.50