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 -
brainly.com/question/14441381
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Plsssss help??? Also do any of u know a graphing app that shows u the points and were to put them?
Answer:
See below
Step-by-step explanation:
There are two ways to graph an equation.
1st Way:
We can use a graphing calculator. (See the attached file)
2nd Way:
We can take the values of x as 0, 1 , 2 (Or anything).
Then, We have to put the values of x in the equation to get the value of y accordingly.
According to these values, Plot the graph.
Also,
Slope = 5 / 6
y-intercept = 1
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807What is a simplified eCarlotta thinks that 3y + 5y3 is the same as 8y4. Which statement shows that it is NOT the same?Xpression for (x + y) – (x – y)?
Questions:
(a) What is a simplified expression for (x + y) – (x – y)?
(b) Carlotta thinks that [tex]3y + 5y^3[/tex] is the same as [tex]8y^4[/tex]. Which statement shows that it is NOT the same?
Answer:
[tex](x + y) - (x - y) =2y[/tex]
[tex]3y + 5y^3 \ne 8y^4[/tex]
Step-by-step explanation:
Solving (a):
Given
[tex](x + y) - (x - y)[/tex]
Required
Simplify
[tex](x + y) - (x - y)[/tex]
Open brackets
[tex](x + y) - (x - y) = x + y - x + y[/tex]
Collect Like Terms
[tex](x + y) - (x - y) = x - x+ y + y[/tex]
[tex](x + y) - (x - y) = y + y[/tex]
[tex](x + y) - (x - y) =2y[/tex]
Solving (b):
Given
[tex]3y + 5y^3[/tex] and [tex]8y^4[/tex]
Required
Which expression shows they are not the same
The expression that shows this is:
[tex]3y + 5y^3 \ne 8y^4[/tex]
Take for instance; y=2
Substitute 2 for y in [tex]3y + 5y^3 \ne 8y^4[/tex]
[tex]3*2 + 5*2^3 \ne 8*2^4[/tex]
Evaluate all exponents
[tex]9 + 5*8 \ne 8*16[/tex]
[tex]9 + 40 \ne 128[/tex]
[tex]49 \ne 128[/tex]
The above expression supports [tex]3y + 5y^3 \ne 8y^4[/tex]
Anissa owns a brick house in the country worth $85,000, and the contents of the house are valued at $15,000. Use the table below to calculate her annual property insurance premium.
Annual Premium per $100 of coverage Brick Steel Mixed Wood Building Contents Building Contents Building Contents Building Contents rating City 0.39 0.43 0.5 0.54 0.55 0.65 0.66 0.76 Suburb 10.45 0.52 0.56 0.63 0.72 0.74 0.83 0.85 Rural 0.69 0.71 0.8 0.89 0.91 1 1.02
O A. $918.65
O B. $950.00
O C. $613.50
O D. $150.00
Answer:
Step-by-step explanation:
$6903 so thos is the answer
Answer:
answer is $613.50
Step-by-step explanation:
Mia buys a house for $95,500, restores it, and then sells it for $126,060. Find the percent of change.
Answer:
32%
Step-by-step explanation:
(126060$-95500)/ 95500
30560/95500×100%
32%
Who earns more per hour, and what is his or her pay rate?
Pls help and show workings
It due 30 mins
Answer:
95°
Step-by-step explanation:
Well first draw a parallel to p, let's say r
so we have that
[tex]\angle 2+\angle3=\angle1[/tex]
and
[tex]\angle y=148\\\\\angle x +63=180\\\\\angle x=117[/tex]
so now by internal angles of parallels we know that
[tex]\angle x +\angle 2 = 180\\\\\angle y +\angle 3 = 180[/tex]
which is
[tex]117+\angle 2 = 180\\\\\longrightarrow \angle 2 = 63\\\\148+\angle 3 = 180\\\\\longrightarrow \angle3=32[/tex]
so
[tex]\angle 1 = 63+32\\\\\angle 1 = 95[/tex]
pls help me with this problem!!!!
Answer: 55°
Step-by-step explanation:
∠YAZ + ∠YAX = 180° because they are linear pairs
∠YAZ + ∠YAX = 180°
∠YAZ + 125 = 180
Subtract both sides by 125
∠YAZ = 55°
Hope that helped!
While on vacation in Rockport, Shawn went out for a dinner that
cost $50. If sales tax in Rockport is 6% and Shawn left an 18% tip on $50, what was the total cost of his meal?
62 dollars hope this helps
answer for brainlist due in 30 mins
Answer: y=-4x+9
Step-by-step explanation:
m= -4
b=9
Answer:
the slope is 4
y-intercept is -2
and the equation is
y=4x -2
Which of the following is equivalent to the expression (mn)^1/5?
Answer:
its not showing me the equation
Step-by-step explanation:
>>>>>
The diagram shows a sector of a circle radius 10 cm.
Find the area of the sector, giving
your answer correct to 1 decimal place.
135°
10 cm
please give the working out aswell !!
Answer:
Area of sector = 117.6 cm²
Step-by-step explanation:
Radius of sector r = 10 cm
Angle Ф = 135°
We need to find Area of sector
The formula used is: [tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}[/tex]
Where Ф is the angle, and r is the radius.
Putting values and finding area of sector
[tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}\\Area\:of\:Sector=\frac{135}{360}\times 3.14 (10)^2\\Area\:of\:Sector=0.375 \times 3.14 \times 100\\Area\:of\:Sector=117.75[/tex]
Now, rounding off answer to 1 decimal place:
[tex]Area\:of\:Sector=117.6\: cm^2[/tex]
So, Area of sector = 117.6 cm²
I need help on this question
Answer:
X^2+13x+40=area
Step-by-step explanation:
So its
(x+8)*(x+5)
Now solve
Use FOIL
x^2+5x+8x+40
Now combine
x^2+13x+40
There you have it
Monica needs to increase her savings by 20%. If she has $85 already in her savings account, how much does she need to add?
This year there are 260 students in the 7th grade. Next year the school expects to have 290 students. What is the percent increase?
Answer:
about 11.5
Step-by-step explanation: i think this is right
Answer:
11.538%
Step-by-step explanation:
290 - 260 /260 x 100% = 11.538
Please help due ASAP .....
Answer:
y = 4x - 9
Step-by-step explanation:
Same slope, so they're parallel
Pls help, SHOW WORKINGS/ explain
Answer:
C. corresponding angles
Step-by-step explanation:
I think this because 1 and 5 are on the same side and they're angles formed by the transversal line that cuts across
HELP NEEDED ASAP!!!!!
Which point IS a solution?
A: (0,6)
B: (-3,4)
C: (1,0)
D: (-4,3)
Answer: (-3, 4)
Step-by-step explanation:
The point at which both lines intersect is (-3, 4)
And since they intersect at ONE point, it just has one solution.
Hope I helped!
CRÍTICAL THINKING Can you use the Product of Powers Property to
multiply 5^2 x 6^4 ? explain
HELP Please
Answer:
The answer for that equation is 32400
Step-by-step explanation:
Answer:
No because their bases are not the same
Step-by-step explanation:
9.
Write the equations THEN solve by any method
Bowl-O-Rama charges 2.50 per game plus $2.00 for shoe rental and
Bowling Pinz charges $2 per game and $4.00 for shoe rental. For
how many games will the cost to the bowl be the same at both
places? What is the cost?
Answer: 4,12
Step-by-step explanation:
Bowl-O-Rama:
y = 2 + 2.50x
Bowling Pinz:
y = 4 + 2x
When you graph this, the solution is (4, 12). This represents that when you play 4 games for either company, both the prices will be the same, $12.
Answer:
$18.00
Step-by-step explanation:
Bowl-O-Rama: $4.50 times 4
Bowling Pinz: $6.00 times 3
Which inequality is true when x=7 ?
A
x + 6 ≥≥ 18
B
x - 6 >> 18
C
11 - x ≤≤ 18
D
11 + x << 18
Brandon has a collection of 400 marbles. Of these marbles, 15% are red, 40% are blue, and the rest are purple. How many marbles in Brandon's collection are purple?
Answer:180
Step-by-step explanation:
Since 15% of 400=60 and 40%=160 the total of this combined is 220. 400-220=180 which is the amount of purple marbles
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A roller coaster has 3 trains with 7 rows per train. Riders stand in rows of 6, for a total of 42 riders per train. The operators of the coaster recorded the number of riders on each train during a run. On the first train, the operators reported that 6 rows were filled. On the second train, all 7 rows were filled. On the third train, 4 rows were filled. How many rows were empty on the first train? How many additional riders would it take to fill those empty rows?
Answer:
a. 1 row
b. 6 people
Step-by-step explanation:
a. Each train has 7 rows yet the first train only had 6 rows filled up. This means that:
= 7 - 6
= 1 row was empty
b. Riders stand in rows of 6 which means that one row has 6 people. With only 1 row empty, the number of people needed will be:
= 6 people
find the values of z and y pls .
Answer: Y=105 Z=28
Step-by-step explanation: i believe these are correct.
help pls!! i will give you brainliest
Answer:
x=2
Step-by-step explanation:
Answer:
y is less than or equal to 2
Step-by-step explanation:
the shading area is under Y=2
Solve the system by making a table of values. Show your work in the scratch
pad
2x +y = 6
y=x+3
help me plzz will mark brainliest
Answer:
[tex]x=7,\\y=6[/tex]
Step-by-step explanation:
The segment [tex]UV[/tex]consists of [tex]UZ[/tex] and [tex]VZ[/tex]. Therefore, we can write the following equation:
[tex]3y-5+2y+2=27,\\5y-3=27,\\5y=30,\\y=\fbox{$6$}[/tex].
Since [tex]UV[/tex] bisects [tex]TW[/tex], [tex]TZ\cong WZ[/tex].
Therefore,
[tex]3x+3=3y+6,\\3x+3=3(6)+6,\\3x+3=18+6,\\3x+3=24,\\3x=21,\\x=\fbox{$7$}[/tex]
1.
Which verbal expression can be represented by
2(x-5)?
a) five less than two times a number
b) the product of two and five more than a number
c) the product of two and five less than a number
d) twice a number decreased by five
Answer:
Twice a number decressed by five
Answer:
C
Step-by-step explanation:
the product of two and five less than a number
Can y’all plz solve this
Answer:
The area of the biggest circle is 254.47
Step-by-step explanation:
9 times 3.14 = 254.47
Step-by-step explanation:
Diameter of large = 12+6 = 18cm
A = πr^2
A= 254.47 cm^2
Just answer the question if you actually answer it you get brainliest and 50 points.
Step-by-step explanation:
f(x) = a * b^x
We have the following information:
f(0) = a * b^(0) = 15. => a * 1 = 15, a = 15.
f(1) = a * b^(1) = 9. => a * b = 9, (15) * b = 9, b = 0.6.
Hence f(x) = 15 * 0.6^x.