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]
5/8 z + (-2.5) = 2.5 worded
Answer:
Step-by-step explanation:
2.5 subtracted from (5/8)th of z gives 2.5
Me fus wants to raise 4.700 for her school. She meets this goal by selling 800 jars of maple syrup. How much did she make in profit for 1 jar sold?? Explain the answer
Answer:
5.87
Step-by-step explanation:
4,700 divided by 800=5.875
Your birthday was this week and you are heading to the mall to spend your birthday money! You are planning to
spend at least $150 but no more than $200. You are looking to buy some pairs of shoes (s) that cost $50 each.
How many video games you can buy with your birthday money?
Solution: You can buy between
and
pairs of shoes with your birthday money,
Answer:
how much do the video games cost
Step-by-step explanation:
Is 2 - 91 positive or negative?
Answer:
Negitive
Step-by-step explanation:
2-91= -89
Answer:
negative
Step-by-step explanation:
I need help with this
Answer:
w=8
Step-by-step explanation:
1(8)+12=2(8)+4
8+12=16+4
20=20
Two sides of a rectangle are the same length, r. The other two sides are each 4 meters.
The perimeter of the rectangle is 26 meters,
Write an equation that represents
the situation.
Answer:
4 times 4 plus 10
Step-by-step explanation:
there are waaaay more ways than just this there is
( 8 times 2 ) plus ( 5 times 2 )
and
( 5 plus 5 ) plus 16
plz mark me as brainiest
Answer:
equation= 2r+8=26
r = 9
Step-by-step explanation:
i got this lesson that's the answer.
2r+8=26
-8 -8
2r = 18
18/8 = 9
r=9
PLEASE HELP. DUE IN 9 MINS ❤️
Three times the sum of a number and 16 is 8 less than four times that same number. Write an
solve an equation to find the number.
Answer:
3(x+16)= 4x-8
x=56
Step-by-step explanation:
3(x+16)= 4x-8
use distributive property
3x+48=4x-8
add 8 to each side
3x+56=4x
subtract 3x from 4x
56=x
check work
3(56+16)=4(56)-8
distributive property again
168+48= 224-8
add the left side
216=224-8
subtract the right side
216=216
tada
solve the equation by graphing
2x^2+4x=70
Answer:
Step-by-step explanation:
Please give brainliest if this helped:)
A teacher takes 5 children on a field trip to a geological museum. As a souvenir, the group receives a bag of stones. When the teacher divides the stones evenly among the children, each child receives exactly 24. If 6 children had been present, how many stones would each child have received?
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
You do 24 times 5 to find out how many stones were in all. Which is 120. Then you take 120 and divide it by 6 students which is 20.
Gary had a pizza party for his friend 14 people showed up,and they had 50 pieces of pizza. How many pieces of pizza did each person have
Answer:
3
Hope this helps
Answer:
3
Step-by-step explanation:
each friend would have 3 pizzas
Convert 35 kilometers to miles
Answer:
The answer would be 21.248 miles
Answer:
35 kilometers = 21.748 miles
2 multiplied by 7 1/3
Answer:
44/3
Step-by-step explanation:
2 * 22/3
44/3
Or, 14 2/3
3/4 + ( 1/3 / 1/6 ) - (- 1/2)
Please hurryyyyyy thank you
Answer:
=47/36
(Decimal: 1.305556)
Step-by-step explanation:
Answer:
3 1/4
Step-by-step explanation:
3/4 + ( 1/3 / 1/6 ) - (- 1/2)
First, divide within the parenthesis
3/4 + 2 - (- 1/2)
Next, change the double subtraction to an addition
3/4 + 2 + 1/2
Convert to forths
3/4 + 2 + 2/4
Add 3/4 and 2
2 3/4 + 2/4
Add 2 3/4 and 2/4
3 1/4
I hope that this helps :)
Ebony bought 4 cans of Soup A for $6.00.
For each soup, indicate whether the soup has the same price per can as Soup A.
Soup B: 2 cans for $5.00
Soup C: 3 cans for $4.50
Soup D: 5 cans for $5.00
Soup E: 6 cans for $9.00
Im trying to plot a slope function on a graph
Answer:
Graphing from slope
Step-by-step explanation:
To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.
Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10.
What is m angle D?
The answer is m<D=14*
what can u use to find the value of x?
Help me first one gets brainliest IF they’re right
Answer:
C
Step-by-step explanation:
You divided it, 752 by 3, and you will get 250.6 repeating! This is important to rember.
Match each equation with its solution
Answer:
3/2×=6 is x equals 4
×/2=-4 equals -8
-5×=26. equals -5.2
× over -7.2 =-4 equals 28.8
A sewing kit includes a spool that holds 24 yards of thread
How many inches of thread does the spool hold (1 yard = 3, 1 foot = 12 inches)
Answer:
864 inches
Step-by-step explanation:
12*3=36
36*24=864
A sewing kit includes a spool that holds 864 inches of thread.
Given that,
A sewing kit includes a spool that holds 24 yards of thread, how many inches of thread does the spool hold is to be determined.
All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.
here,
1 yard = 3, 1 foot = 12 inches
So,
24 yard = 24 [3] feets
24 [3] feet = 24 [3] [12] inches = 864 inches
Thus, A sewing kit includes a spool that holds 864 inches of thread.
Learn more about measurements here:
https://brainly.com/question/4725561
#SPJ2
a) Find the value of: 659 x
17 + 659 x 13 + 659 x 70
Answer:
1000000
Step-by-step explanation:
Mike discovered an error in his checking account register and when he recalculated his balance he
was overdrawn in the amount of -$738.57. Mike saved two of his paychecks in the amount of $300.40
each in case of emergencies. If Mike deposited the amount he saved, what would be his current balance?
Answer:
Mike would have -438.17, poor mike lol
what are the five lessons or skills you learned in your t.l.e
9
Answer:
Step-by-step explanation:
Throughout life, we learn lessons and skills that drastically change the way we view the world and the decisions we make. For me, the lessons and skills that were the most important were the following ...
Don't be jealous of what others have.Invest as much as you can in your 20'sLearn to codeLearn to play GuitarHave goals.All of these lessons and skills have helped me visualize a future that would make me happy and has even opened some doors which would help make such a future a reality.
Help ASAP PLZ HELP ME
Answer:
Step-by-step explanation:
the sum of angles of triangle=180 degrees
one angle=90 degrees
180-90=90 degrees is the measure of the other two angles
since the two angles are congruent or equal
90/2=45 degrees
the measure of the 2 angles =45 degrees each
A 10-inch candle burns down in 10 hours. At what rate does the candle burn, in inches per hour? URGENT PLEASE ANSWER ASAP!!!
Answer:
1 inch per hour
Step-by-step explanation:
1 hour it burns 1 inch
Mrs. Clark purchased a box of pencils.
The purchase price was $1.80 for 12
pencils. How much did she pay for
each pencil?
Answer:
0.15 cents
Step-by-step explanation:
1.80 (price) divided by 12 (amount) = 0.15 cents per pencil
Increasing 20 to 40 is the same as increasing 20 by
. So, it is a 100% increase. Decreasing 40 to 20 is the same as decreasing 40 by one-half of
. So, it is a 50% decrease.
Answer:
whats the question?
Select the correct answer.
Which statement is true about the slope of the graphed line?
Answer:
A
Step-by-step explanation:
umm so for some reason I cant submit my answer unless theres 20 characters. :)
a square has been cut out of the shaded rectangle. calculate the area of the shaded part of the rectangle
Answer:
u got zoom class in session ??
Step-by-step explanation:
Identify all sets to which this number belongs: -459*
Natural, Whole, Integer
Whole, Irrational
Whole, Integer
Integer, Rational
Irrational
Please help!
Answer:
-459 is rational, and an integer