Answer:
f⁻¹(x) = (x + 1) / (x - 2)f⁻¹(1 ) = - 2Step-by-step explanation:
Given function:
f(x) = (2x + 1) / (x - 1)Find its inverse, substitute x with y and f(x) with x, solve for y:
x = (2y + 1) / (y - 1)x(y - 1) = 2y + 1xy - x = 2y + 1xy - 2y = x + 1y(x - 2) = x + 1y = (x + 1) / (x - 2)Substitute y with f⁻¹(x):
f⁻¹(x) = (x + 1) / (x - 2)Find f⁻¹(1 ):
f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2What is the slope of the line that passes through the points (−3,1) and (7,−14)?
Answer:
Step-by-step explanation:Slope m = yB − yA xB − xA Slope m = y B - y A x B - x A. Solution: Slope m = 10 − 2 7 − 3 Slope m = 10 - 2 7 - 3. = 8 4 = 8 4. m = 2.
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 5x+10 and MP = 7x -6
Answer:69=33
Step-by-step explanation:
1 answer 100 points for 1 answer
Answer:
A 5kW solar system is made up of 20 solar panels, assuming that the panels have 250-watt capacity. The size of each panel will be approximately 1.6 m x 1 m, so at least 32 m² of roof space is needed to suit the space needs of this system.25 Oct 2021
Answer:
Part A: by finding equation and x value is size.
Take two coordinates: (20, 1/5), (40,2/5)
slope:
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{\frac{2}{5} -\frac{1}{5} }{40-20}[/tex]
[tex]\frac{0.2}{20}[/tex]
[tex]0.01[/tex] ......this is slope, unit rate.
Equation:
y - y1 = m( x - x1 )
y - 1/5 = 0.01(x - 20)
y = 0.01x ........this is the equation
The y determines the size of kilowatts of energy
So y = 5
5 = 0.01x
x = 500 square feet
500 square feet is required to produce 5 kilowatts of energy.
Write a division equation to show a 26-pack of candy bars divided equally among 7 people. How many candy bars will each person have? Express the answer as a mixed number.
Just tell me the number.
Answer:
3 5/7
Step-by-step explanation:
what is -8 (x - 1) = -32
Answer:
x=5
Step-by-step explanation:
−8(x−1)=−32
(−8)(x)+(−8)(−1)=−32
−8x+8=−32
Step 2: Subtract 8 from both sides.
−8x+8−8=−32−8
−8x=−40
Step 3: Divide both sides by -8.
−8x -40
−8 =−8
x=5
What is the final price if you get to take 25% off of $75 for a day of Go-cart racing?
Answer:
$56.25
Step-by-step explanation:
Not sure if I can explain this too well but
This question is basically asking what 25% of 75 is
To find that you would multiply 75 x 0.25:
75x0.25=18.75
Now we know that the question is saying that we can take $18.75 off the original total($75) to find the discount total
So we would simply subtract $75 by $18.75 to find the final price:
75-18.75=56.25
So our total is equal to $56.25
find the area of each figure
Answer:
A=120
B=20
C=20
Total area=160 cm2
This is really weird because the numbers dont look proportional to the shape but according to the data it should be correct :/
Answer:
Area of A=120cm²
Area of B=20cm²
Area of C=20cm²
Total area=160cm²
Step-by-step explanation:
For A
[tex]Length(l)=15cm\\Breadth(b)=8cm\\Now,\\Area=l*b\\Area=15cm*8cm=120cm^{2}[/tex]
For B
[tex]Length(l)=5cm\\Breadth=12cm -8cm=4cm\\Now,\\Area=l*b\\Area=5cm*4cm\\Area=20cm^{2}[/tex]
Area of C=20cm²
Total Area=160cm²
In triangle ABC, the measure of angle ABC is 42 degrees and the measure of angle BAC is 64. What is the measure of angle BCA? Write an expression to find the measure of angle BCA.
Answer:
Step-by-step explanation:
The sum of interior angles of a triangle = 180°
Therefore, ∠ABC + ∠BAC + ∠BCA = 180°
⇒ 42 + 64 + ∠BCA = 180°
⇒ ∠BCA = 180 - 42 - 64
what is the solution to the system of equations that is graphed?
Answer:
(-4,-3)
Step-by-step explanation:
As we can see on the graph, we need to see where the two lines intersect. We see that they cross at (-4,-3). That is the solution to the graph.
Type the correct answer in the box. Use numerals instead of words.
What is the solution to this equation?
7-^3√2-x=12
The soulution to x = ?
x=127
I used a calculator, so the answer is right.
Help me pleaseeeeeeeeeeeeeee
Answer:
C
Step-by-step explanation:
45/100 X 72 = 45/72 X 100
45/100 X 72 = 45/72 X 100
9/20*72=5/8*100
simplifying, we get:
[tex]\frac{1}{160}=\frac{1}{160}[/tex]
therefore, true
Easy question There are 8 sixth-graders and 16 seventh-graders in a class.
Complete the ratio for this class.
There is 1 sixth-grader for every
? seventh-graders.
Answer:
2 seventh graders
Step-by-step explanation:
8:16 simplified=1:2
therefore for every 1 sixth-grader there is 2 seventh graders
Answer:
there is 1 sixth grader for every 2 seventh graders
Step-by-step explanation:
there are 16 seventh graders divided by the 8 sixth graders= 2 seventh graders per sixth grader
What is the following expression?
12-3×(8-5)
will give brainliest :)
I know it's not a lot of points but yeah :(
Answer:
2) A, 3) Shawn is looking for a good book, he reads 12 books and then decides to read 1/4 of the amount he already read. How many books has Shawn read in total? 4) A, C, E. 5) 4
Step-by-step explanation:
2) Elena already walked 12 miles, she then walks another 1/4 of those 12 miles. The answer is A.
3) Shawn is looking for a good book, he reads 12 books and then decides to read 1/4 of the amount he already read. How many books has Shawn read in total?
4) to find the answers figure out how much they multiply one number by and multiply the other number by that amount. For example, the ratio 2:5 can be the same as 4:10 because you are multiplying the original ratio by 2 to get the new ratio.
5) The diameter of a circle is the length of one side to another. to find the length of the outer edge you need to find the circumference. To find the circumference of a circle you must use [tex]\pi[/tex]*Diameter. To find the answer we must use 180/[tex]\pi[/tex]D. Since pi can not be defined we will use 3.14 as a rough estimation. 3.14*12=37.68. 180/37.68=4.777070064. Since it doesn't make much sense to do .8 of a invitation then we must round down. The answer is 4.
solve pls brainliest
Answer:
3/4
Step-by-step explanation:
Answer:
2 ÷ 8/3 is 0.75 !!
there you go!
write and equation to (4,8) and (-2,-4)
Answer:
Step-by-step explanation:
slope=(-4-8)/(-2-4)=-12/-6=2
eq. of line is
y-8=2(x-4)
y=2x-8+8
y=2x
Gideon took an online math test consisting of 25
questions. Each question was worth 2
points, and Gideon scored 42
points. What percentage of the total points did Gideon score?
Step-by-step explanation:
25 questions, 2 points each.
that means there were 25×2 = 50 points in total.
Gideon got 42 out of the 50.
100% = 50
1% = 100%/100 = 50/100 = 0.5
42 is how many % ? as many as 1% (0.5) fits into 42.
so,
42/0.5 = 42×2 = 84%
he scored 84%.
Danny wants to be a marine biologist when he grows up. His entire room is ocean-themed, so he is painting his bed frame blue to match. He estimates that he will need 5 cups of paint, but the hardware store only sells paint in quarts. If Danny buys 2 quarts of paint, how many cups will he have left?
Answer:
1 cup of paint as 5 cups of paint = 1 quart +1 paint cup
Step-by-step explanation:
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
Answer:
b. YZ
Explanation:
YZ is the common side.∠XYZ and ∠WYZ has a common side which is YZ at the middle.We can know this as YZ is mentioned in the both ends of ∠XYZ and ∠WYZwhats the median of
5, 8, 12, 6, 7, 10, 14, 6, 13
Answer:
the median is 8.
Answer:
the median is 6
Step-by-step explanation:
I am confused on this question?
Factor
Include the Steps
X^2-6x-40=0
Answer:
x=(+10,-4)
Step-by-step explanation:
find two number if you multiple it becomes (-40) and if you add it becomes (-6)
Joana prepared 6 kilograms of dough after working 3 hours. How many hours did joana work if she prepared 8 kilograms of dough?
Answer:
4 hours
brainliest please?
Las Variables para x e y?
Answer:
no able Espanola
Step-by-step explanation:
Justin earned $50 mowing yards and $16 washing cars. He wants to divide his money into 3 equal accounts.
How much will he put in each account? Complete the explanation.
Justin will put $
into each account.
First add $50 and $16 to find how much money Justin earned. Justin earned a total
of $
mowing yards and washing cars. Then divide the total by
to find out how much money will go into each account.
Answer:
22
Step-by-step explanation:
Justin will put $22 into each account. First add $50 and $16 to find how much money Justin earned. Justin earned a total of $66 mowing yards and washing cars. Then divide the total by 3 to find out how much money will go into each account.
-2 = 0.8n
I need help with this ..
Step-by-step explanation:
I guess you want to solve for n.
in that case
-2 = 0.8n
n = -2/0.8 = -2 / 8/10 = -2 × 10/8 = -5/2 = -2.5
What is the slope of a line that has the points (5,5) and (9,4) on it?
Answer:
1/5
Step-by-step explanation:
forward 5 units and up 1
A truck can travel 1200 miles on 80 gallons of gasoline. how far can it travel on 240 gallons of gasoline ? Show your work
Answer:
3600 miles on 240 gal
Step-by-step explanation:
80 gal can go 1200
160 gal can go 2400
240 gal can go 3600
Calculate £6.30 divided by 7.
Write your answer in pence.
Answer:
its 0.9 which is 90 I Literally divided it
Step-by-step explanation:
£6.30 divided by 7 is equal to 90 pence.
What is the division operation?In mathematics, the division operation splits left-hand operands into right-hand operands. The division's primary goal is to create equal groups or to ascertain how many individuals are in each category following a fair distribution.
For example 4/2 = 2
To convert £6.30 to pence, we multiply it by 100 because there are 100 pence in 1 pound.
£6.30 x 100 = 630 pence
Now, to calculate 630 pence divided by 7:
630 pence / 7 = 90 pence
Therefore, £6.30 divided by 7 is equal to 90 pence.
To learn more about the division operation click here :
brainly.com/question/25870256
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