Answer:
[tex]\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}[/tex]
Step-by-step explanation:
We are given the function:
[tex]\displaystyle g(x)=-\frac{3}{x-2}+2[/tex]
Let's find the inverse of g.
Call y=g(x):
[tex]\displaystyle y=-\frac{3}{x-2}+2[/tex]
We need to solve for x. Multiply both sides by x-2 to eliminate denominators:
[tex]y(x-2)=-3+2(x-2)[/tex]
Operate:
[tex]yx-2y=-3+2x-4[/tex]
Collect the x's to the left side and the rest to the right side of the equation:
[tex]yx-2x=-3-4+2y[/tex]
Factor the left side and operate on the right side:
[tex]x(y-2)=-7+2y[/tex]
Solve for x:
[tex]\displaystyle x=\frac{-7+2y}{y-2}[/tex]
Interchange variables:
[tex]\displaystyle y=\frac{-7+2x}{x-2}[/tex]
Call y as the inverse function:
[tex]\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}[/tex]
Find an expression which represents the sum of (6x – 4) and (-2x + 5) in simplest terms.
Answer:
5
Step-by-step explanation:
because if you add -2x and 5 you would get 3 also if you subtract 6x-4 you would get 2x so add 2x and 3x then you would get five
which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x - 4y= 6
TIMED TEST WILL GIVE BRAINLIEST
Parallel means their slopes should equal to each other.
Thus we need to find the slope of the given line ,
Let's do it.....
[tex]3x - 4y = 6[/tex]
Subtract sides -3x
[tex] - 3x + 3x - 4y = - 3x + 6[/tex]
[tex] - 4y = - 3x + 6[/tex]
Divided sides by -4
[tex] \frac{ - 4}{ - 4}y = \frac{ - 3}{ - 4}x + \frac{6}{ - 4} \\ [/tex]
[tex]y = \frac{3}{4}x - \frac{3}{2} \\ [/tex]
This is the slope-intercept of the line.
We know that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus the slope of the equation which we want is :
[tex]slope = \frac{3}{4} \\ [/tex]
_________________________________
We have following equation to find the point-slope form of the linear functions.
[tex]y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\ [/tex]
Now just need to put the slope and the given point in the above equation.
[tex]y - 6 = \frac{3}{4} \times (x - 4) \\ [/tex]
Multiply sides by 4
[tex]4(y - 6) = 3(x - 4)[/tex]
[tex]4y - 24 = 3x - 12[/tex]
Plus sides 24
[tex]4y - 24 + 24 = 3x - 12 + 24[/tex]
[tex]4y = 3x + 12[/tex]
Subtract sides -3x
[tex]4y - 3x = 3x - 3x + 12[/tex]
[tex]4y - 3x = 12[/tex]
And we're done....♥️♥️♥️♥️♥️
Miranda has borrowed $2000 from Bank of America to help pay for a flat screen TV. The $2000 was obtained at a rate of 5% for a period of 36 months. How much will she have paid for the TV after the 36 months?
Answer:
u get 300Step-by-step explanation:
so what ur looking for is the "I" and first we covert 36 months in 3 years the do this set up 2000(0.05)3what mistake did they make?
Answer:
this is not a good angle cant see it that well
Step-by-step explanation:
Answer:
the mistake is that the person added 2x by-4x which should've been -2x
Step-by-step explanation:
-4x+2x is basically saying 2-4 which is -2
Cuantos casos de co vid hay en colombia 26 de octubre y cuantos casos y muertes reportan hoy?
Answer:
The country's capital is the region most affected by the pandemic. So far it has registered 308,645 positive cases. In recent weeks there has been an increase in cases, however, the Intensive Care Units continue to be controlled. Bogotá has been experiencing economic reactivation for several weeks, but they do not rule out some drastic measures in the future
Step-by-step explanation:
Cindy peeled 9 oranges every 24 minutes. At that rate, how many
would she peel in 32 minutes?
Answer:
12
Step-by-step explanation:
9/24 = 0.375 (how many peeled per minute)
0.375 x 32 = 12
Answer:
12 oranges
Step-by-step explanation:
Step 1:
9/24 = x/32 Equation
Step 2:
24x = 288 Multiply
Step 3:
x = 288 ÷ 24 Divide
Answer:
x = 12
Hope This Helps :)
Please I need help, anyone?
Answer:
i do not know
Step-by-step explanation:
A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be made measures 9cm The longest side of the drawing measures 37cm The longest side of the actual triangular piece to be sculpted must be 16.3m long. How long will the shortest side of this piece be?
Answer:
396.5cm or 3.965m
Step-by-step explanation:
A sculptor is designing her new triangular masterpiece. In her scale drawing,
Scale Drawing
The shortest side = 9cm
The longest side = 37cm
Actual Drawing
The longest side of the actual triangular piece= 16.3m long.
We convert from meter to cm
1m = 100cm
16.3m =
Cross Multiply
= 16.3 m × 100cm/m
= 1630cm
How long will the shortest side of this piece be?
Let the shortest side be represented by x
9/37 = x/1630
Cross Multiply
37x = 9 × 1630
x = 9 × 1630/37
x = 396.48648649cm
≈ 396.5cm
Or converting to meter
= 396.5cm/100
= 3.965m
4. If S is in the interior of ZPQR , then mZPQS + m_SQR = m_PQR.
a. Protractor Postulate
b. collinear
c. angle bisector
d. angle
e. Angle Addition Postulate
Miss Palmer weighs 155 pounds.If 1 pound is equal to .45kilograms, how much does miss Palmer weigh in kilograms?
Answer:
70.3068
explanation:
divide the mass value by 2.205
Answer:
69.75 kg
Step-by-step explanation:
1:0.45
155:x
x=155×0.45
x=69.75 kg
Solve the equation, justify
each step with an algebraic
property
-(x - 6) = 4
Answer:
x=2
Step-by-step explanation:
Step 1_ −(x−6)=4
−x+6=4(Distribute)
−x+6=4
Step 2_ −x+6−6=4−6
−x=−2
Step 3_ −x equals -2
−1 -1
x=2
Hope this helps :)
Fuji apples grown at a certain orchard have a mean weight of 5.2 ounces with a standard deviation of 0.8 ounces. Suppose the scale the orchard owner uses systematically underweighs apples by 0.2 ounces and also weighs the apples in grams, rather than ounces. What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).
Answer:
Mean 140 grams
Standard deviation 22.4 grams
Step-by-step explanation:
What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).
Mean = 5.2 ounces.
First step would be to convert from ounces to grams
1 ounce = 28 grams
5.2 ounces =
5.2 ounces × 28 grams
= 145.6 grams
He underweighs by 0.2 ounces
We convert this too
1 ounce = 28 grams
0.2 ounce =
0.2 ounce × 28 grams
= 5.6 grams.
The new mean weight of the Fuji apples is grams = 145.6 grams - 5.6 grams = 140 grams.
Standard Deviation = 0.8 ounces.
Even though he underweighed that apples by 0.2 ounces, there has minimal effect on the standard deviation of the apples.
Hence, the standard deviation if the apples in grams =
1 ounce = 28 grams
0.8 ounce =
0.8 ounce × 28 grams
= 22.4 grams
Write the word sentence as an equation. Then solve.
10 more than a number c is 3.
Answer:
10+c=3
Step-by-step explanation:
to solve this you would then subtract 10 from both sides, to get c by itself.
3-10= -7
Your answer would be -7 and the equation would be 10+c=3.
Marshall knows that he burns 235 calories by walking for 30 minutes. This week, Marshall walked for 360 minutes. How many calories did Marshall burn by walking this week?
Answer:
2820 calories
Step-by-step explanation:
Since 30 can fit into 360, you can divide it.
360/30=12
12 is what you will multiply to the number of calories in 30 minutes.
235*12=2820
A bird leaves its nest and travels 10 miles per hour downwind for 3 hours. On the return trip, the bird travels 2 miles per hour slower and has 4 miles
left after 2 hours.
How long does the entire trip take?
Answer:
5 hours
Step-by-step explanation:
10-2=8 now add the hours
There are some numbers missing in the arithmetic sequence. 2, ___, ____, ____, ___,___, 20
a) Find the common difference
b) Find missing terms
Identify the angles that each have a measure of 124º.
Answer:
Angle 1, angle 3 and angle 7 will be the equal angles.
Step-by-step explanation:
In the figure attached,
Two lines are parallel and a transversal line is intersecting these parallel lines.
Congruent angles to the angle measuring 124° will be,
m(∠7) = 124° [Vertical angles]
m(∠1) = 124° [Corresponding angles]
m(∠3) = 124° [Alternate interior angles]
Therefore, ∠1, ∠7 and ∠3 will measure the same as 124°.
plzz need help
help a fellow brainly
Step-by-step explanation:
b= -2A-a
---------------
h
The third option is right
HAVE A GOOD DAY!
Answer:
its the third one
Step-by-step explanation:
Solution to Y=3x-1
look at picture
Just plug in the first value for x and see if you get the second value!
The answer is (2,5)
5 = 3 x 2 - 1.
5 = 6 -1
5 = 5
Answer:
picture guide person
Step-by-step explanation:
picture, then guide, and then person ⇔∑ω
what is 8 1 2 times 11
Answer:
[tex]8\frac{1}{2}*11=93\frac{1}{2}[/tex]
Step-by-step explanation:
Simplify the expression.
14. Jorge's brother is 4 less than 3 times his age. The sum of their ages is
24. How old is Jorge's brother? *
A 6 years old
B. 12 years old
C. 7 years old
O D. 17 years old
D. 17 years olddddddddddd
12 Which numbers are irrational? Choose all that apply.
A √ 26
B 5.87
C √ 144
D 2.161161116...
E 2/3
Solve the simultaneous equations 3x- 4y =20 and 4x-2y = 25
Answer:
(6, - [tex]\frac{1}{2}[/tex] )
Step-by-step explanation:
Given the 2 equations
3x - 4y = 20 → (1)
4x - 2y = 25 → (2)
Multiplying (2) by - 2 and adding to (1) eliminates the y- term
- 8x + 4y = - 50 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 30 ( divide both sides by - 5 )
x = 6
Substitute x = 6 into either of the 2 equations and evaluate for y
Substituting into (1)
3(6) - 4y = 20
18 - 4y = 20 ( subtract 18 from both sides )
- 4y = 2 ( divide both sides by - 4 )
y = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]
Solution is (6, - [tex]\frac{1}{2}[/tex] )
The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The linear equations are given below.
3x - 4y = 20 ...1
4x - 2y = 25
8x - 4y = 50 ...2
Subtract equation 1 from equation 1, then we have
8x - 4y - 3x + 4y = 50 - 20
5x = 30
x = 6
The value of the variable 'y' will be given as,
3(6) - 4y = 20
18 - 4y = 20
4y = - 2
y = - 0.50
The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Which is the equation of a line that has a slope of 4 and passes through point (1, 6)?
y = 4x – 2
y = 4x + 6
y = 4x + 2
y = 4x – 3
Answer:
y = 4x + 2
Step-by-step explanation:
Answer:
c on edge
Step-by-step explanation:
The diagram below shows y as a functional of x, True or False?
A)True
B)False
Answer:
False
Step-by-step explanation:
A function can't have 2 y-intercepts so y is not a function of x
Answer:
I believe it is A.
step-by-step explanation:
Because on the grid it is the Y corrdinate and the X coordinate so I belive it id True.
Hope it helps!
Have a brainly day! :D
Find the slope of the given linear function shown in the graph?
Answer:
-2
Step-by-step explanation:
Pick a point the count down 2 and right 1 to the next point
Since it goes down and to the right its negative
Answer:
-2
Step-by-step explanation:
Rise over run. It went down which means it's a negative. Then it went right (run).
3(8 - 7) = 2(10 + 8)
Answer:
3(8-7)=2(10+8)
3(1)=2(18)
3= 36
I don't know what your instructions say but this is false. 3 is not equal to 36.
I need your help please.
Answer:
1. y-int=5, concave up, a greater than 0
2. y-int=-3, concave down, a less than 0
3. y-int=0, concave up
Step-by-step explanation:
So anyone know the answer to this question
Answer:
D, 5
Step-by-step explanation:
1) 2 times 6 is 12
2) 12+3 = 15
3) 15/3 = 5
11/12 - (1/3 + 1/4) =?
Answer:
I won't put a step by step since I converted the equations into decimals which I don't think will help you.
Step-by-step explanation:
0.33 or -0.33 depends on which you look at it.