Given the graphed function below, which of the following ordered pairs are
found on the inverse function?
Answers
Answer: Option B.
Step-by-step explanation:
A linear function can be written as:
y = a*x + b
where a is the slope and b is the y-intercept.
if the line passes through the points (ax, ay) and (bx, by) then the slope is:
a = (bx - ax)/(by - ay)
In this case, we can see that the line passes through the points:
(1, 3) and (2, 1)
Then the slope is:
a = (1 - 3)/(2 - 1) = -2
y = -2*x + b
In the graph we also can see that the line intersects the y-axis at y = 5, then b = 5.
The line is:
y = f(x) = -2*x + 5.
the inverse function is such that:
g( f(x)) = x
to find the inverse function of a linear equation, we just could isolate x.
y - 5 = -2x
-y/2 + 2.5 = x
Then we could write the inverse function as:
g(x) = - x/2 + 2.5
Now we need to see which pairs belong to this line. I just will evaluate the function g(x) in different values of x, and see which points belong to the line.
g(9) = -9/2 + 2.5 = -4.5 + 2.5 = -2
(9, -2) belongs to the line.
g(7) = -7/2 + 2.5 = -3.5 + 2.5 = -1
Then (7, -1) belongs to this line.
g(5) = -5/2 + 2.5 = 0
Then the point (5, 0) belong to this line.
We can already see that all these points are in option B, then option B is the correct one.
Related Questions
Do these ratios form a proportion?
$42 per 33 customers
$28 per 22 customers
yes
no
Answers
Answer:
yes
Step-by-step explanation:
[tex]\frac{42}{33}[/tex] = [tex]\frac{14}{11}[/tex] and [tex]\frac{28}{22}[/tex] = [tex]\frac{14}{11}[/tex]
Both reduce to [tex]\frac{14}{11}[/tex] and form a proportion
Who's ur favorite song artist?
Answers
Evaluate the following expression -7x/7+9)
Answers
Answer:
− x+9
Step-by-step explanation:
−
7
7
+
9
{\color{#c92786}{\frac{-7x}{7}}}+9
7−7x+9
−
+
9=−
+
9
The Bailey’s spent $18.00 for 4 two-liter sodas for the birthday party this weekend. What is the number of soda bottles that could be bought for $45.00?
Answers
Answer:
10
Step-by-step explanation:
So I belive the answer consists of- 18 divided by 4 equals 4.5 and 45 divided by 4.5 is 10 so ten should be your answer.
what is dark matter
can we travel faster than speed of light
what is chlorophyll
Answers
Step-by-step explanation:
No we can't travel faster than speed of light as it is the fastest
Chlorophyll is a pigment that absorbs light of particular wavelengths (mainly blue and red) .Chlorophyll in green plants spread out on stacks of membranes in chloroplasts.
Dark matter ia a material that we cannot see but we know that it exists because of it's effect on the objects and it is composed of particles that do not absorb,reflect or emit light.
Answer:
1. Dark matter is material that don't seen directly, it neither absorb anything, neither reflect and emit light.
2. No there is nothing which can travel faster than light.
3. In simple language, chlorophyll is those pigment which is present in all green plants and mainly responsible for the process of photosynthesis
Step-by-step explanation:
1.We can say there is dark matter but the only problem is we don't have any access to see it.
2.there is nothing faster than light because speed of light and time doesn't exist beyond any point.
Which is the fraction 14/5 written as a mixed number
Answers
Or
Two and four fifths
Is linear or nonlinear?
Answers
Answer:
Linear
Step-by-step explanation:
PLEASE HELP ASAP!!!
3 + 2x² + 3x + 2x² + 5 = ?
Answers
Answer: 4x² + 3x + 8
Work: I combined Like Terms, put them in the right form, from the x² to the number.
I hope this helps and Happy Holidays! :)
Answer:
25
Step-by-step explanation:
3+2=5×2 ×2 +5=25
add the 10 to the other 10 and then add 5
tan22° + tan23° tan22°. tan23° = 1 prove that
Answers
Answer:
Formula:(from trigonometry)
Tan(A+B)=(tanA+tanB)/(1-tanA*tanB)
Let A=22 degrees,B=23 degrees
Tan(22+23)=(tan22+tan23)/(1-tan22*tan23)
From trigonometry we know tan45=1
Therefore tan(45)=1=(tan22+tan23)/(1-tan22tan23)
=> 1-tan22tan23=tan22+tan23
=> tan22+tan23+tan23tan22 =1
Hence proved
Jim is saving money to buy a game. So far he saved $36, which is three-fourths of the total cost of the game. How much does the game cost?
Answers
Answer:
$48
Step-by-step explanation:
Because he has 3/4 you would divide 36 by 3 whick is 12 then multiply by 4 to get the total of $48
Answer:
$48 :)
Step-by-step explanation:
Steve gets 4 points for every correct answer and loses 1 point for every wrong answer. If he answered 30 questions and scored 20 points, write a system of equations.
Answers
Given:
Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.
Total question answered by Steve = 30
Total score = 20 points
To find:
The system of equations for the given problem.
Solution:
Let x be the number of correct answers and y be the number of wrong answers.
Total question answered by Steve = 30
[tex]x+y=30[/tex] ...(i)
Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.
Score for 1 correct answer = 4
Score for x correct answer = 4x
Score for 1 wrong answer = -1
Score for y correct answer = -y
Total score = 20 points
[tex]4x-y=20[/tex] ...(ii)
The system of equations contains (i) and (ii).
Therefore, the system of equations have two equations [tex]x+y=30[/tex] and [tex]4x-y=20[/tex].
what is the answer. can someone help me .
Answers
Answer:
your photo is not visible for me
Answer:
54
Step-by-step explanation:
11x=26=180
x=14
8x+p+14=180
p=54
What is 16 divided by 5
Answers
Answer:
3.2
Step-by-step explanation:
A real horse is 1.8 m high. A statue of the horse is 3 m high. What is the ratio of the height of the horse to the height of the statue
Answers
1.8/1.8 : 3/1.8 = 1:1.67 and there you go.
Write the number in scientific notation
307,000,000
Answers
Answer:
3.07×10^8
Step-by-step explanation:
:)
hope this helps
Answer: 307,000,000 in scientific notation is 3.07 × 10^8.
Please help I will give brainliest!!!
Answers
Answer:
I think it is C.
Step-by-step explanation:
Plz, Help me with this question.
Answers
6(3) - 2(4) = 18 - 8= 10
Answer:
F. 10
Step-by-step explanation:
6d - 2c
6 * 3 - 2 * 4
18 - 8
10
The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?
Answers
Answer:
2 13/20 cm
Step-by-step explanation:
The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?
From the above question, we are converting, from decimal to mixed number , hence:
2.65 has 2 decimal places
Hence:
2.65 cm = (265/100)cm
= ( 2 + 65/100) cm
= ( 2 13/20 )cm
The mixed number that represents the length of the phone screen is 2 13/20 cm
How is the following reciprocal function f(x)= [tex]\frac{1}{x+2}[/tex] decreasing?
Answers
Rewrite 2/100 as a percent. *
answer fast please!
Answers
Move decimal over 2 times
Answer: 0.02
18. Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-3,1);m=3
20. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-5);y=-2x+2
21. Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(0,0);y=-3x+2
Answers
Answer:
(-4,-2); y=4x+2
Step-by-step explanation:
8. A school raffle sold 480 tickets. Students were charged $1/ticket and teachers $5/ticket. The total receipts were $560. How many of each ticket were sold? 9. An airplane travels 5432 km. On the outward trip it took 7 hours with the wind. On the return trip, it took 8 hours against the wind. What was the speed of the plane and the speed of the wind? (Remember: distance = speed x time)
Answers
Answer:
8. Number of student tickets = 460
Number of teacher tickets = 100
9. Speed of plane = 727.5 km/hr
Speed of wind = 48.5 km/hr
Step-by-step explanation:
8.
Let number of students' tickets = [tex]x[/tex]
Let number of teachers' tickets = [tex]y[/tex]
Total number of tickets = 480
[tex]x+y=480[/tex] ...... (1)
Price for one student's ticket = $1
Price for one teacher's ticket = $5
Total money collected by the tickets = $560
[tex]x +5y = 560[/tex] ...... (2)
Subtracting (1) from (2):
[tex]4y = 80\\\Rightarrow y = 20[/tex]
By equation (1):
[tex]x = 460[/tex]
Number of student tickets = 460
Number of teacher tickets = 100
9.
Let the speed of airplane in still air = [tex]u[/tex] km/hr
Let the speed of air = [tex]v[/tex] km/hr
Total distance = 5432 km
Time taken with the wind = 7 hours.
Speed with the wind = [tex]u+v[/tex] km/h
Time taken against the wind = 8 hours.
Speed with the wind = [tex]u-v[/tex] km/h
Using the formula:
Distance = Speed [tex]\times[/tex] Time
[tex]5432 = (u+v)\times 7\\\Rightarrow u +v = 776 .... (1)[/tex]
[tex]5432 = (u-v)\times 8\\\Rightarrow u - v = 679 .... (2)[/tex]
Adding (1) and (2):
[tex]2u = 1455\\\Rightarrow u = 727.5\ km/hr[/tex]
By equation (1):
[tex]v = 48.5\ km/hr[/tex]
Speed of plane = 727.5 km/hr
Speed of wind = 48.5 km/hr
Find the slope of the line that passes through (10, 10) and (3, 1).
Answers
Answer:
-7/-9 pretty sure
Step-by-step explanation:
x2-x1
y2-y1
3-10= -7
1-10= -9
Show work and I will give you brainliest
Answers
Answer: There is not enough info and I can't see because the picture is not clear enough. Sorry. :(
Merry (early) Christmas tho! :)
As a cold front moved into a city, the temperature decreased by 32°F at a rate of
2°F per minute. For how long was the temperature decreasing?
A 64 minutes
B 30 minutes
C 32 minutes
D 16 minutes
Answers
Answer:
D. 16
Step-by-step explanation:
32/2 = 16
A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is 96 square feet. What is the width of the sidewalk?
Answers
Answer:
width of the sidewalk = 1 feet
Step-by-step explanation:
Area of the pool = length × width
Length = 10 feet
Width = 6 feet
Area of the pool = length × width
= 10 feet × 6 feet
= 60 feet²
Area of the pool = 60 feet²
Total area = Area of the pool + Area of sidewalk
96 feet² = 60 feet ² + Area of sidewalk
Area of sidewalk = 96 feet² - 60 feet ²
Area of sidewalk = 36 feet²
Length of pool + sidewalk = 10 + 2x
width of pool + sidewalk = 6 + 2x
( 10 + 2 x ) ( 6 + 2 x ) -60 = 36
60 + 20x + 12x + 4x² - 60 = 36
4x² + 32x - 36 = 0
4x² + 36x - 4x - 36 = 0
4x (x + 9) -4(x + 9) = 0
(4x - 4) (x + 9) = 0
4(x - 1) (x + 9) = 0
(x - 1) = 0 (x + 9) = 0
x = 1 or x = -9
The width of the side walk can't be a negative value
Therefore, width of the sidewalk = 1 feet
A rectangular pool has a sidewalk around it. Width of the sidewalk is 1 feet.
Given
A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is 96 square feet.
Let 'w' be the width of sidewalk
The pool measures 6 feet by 10 feet . The width of the rectangular pool with side walk is 6+x+x=6+2x
The length of the rectangular pool with side walk is 10+2x
The total area of the pool and side walk is length times width
Total area= [tex](6+2x)(10+2x)\\[/tex]
[tex]96=(6+2x)(10+2x)\\96=60+32x+4x^2\\60+32x+4x^2-96=96-96\\4x^2+32x-36=0[/tex]
apply quadratic formula to solve for x
[tex]x=\frac{-32\pm \sqrt{32^2-4\cdot \:4\left(-36\right)}}{2\cdot \:4}\\x=\frac{-32\pm \:40}{2\cdot \:4}\\x= \frac{-32+40}{2\cdot \:4}=1\\x=\frac{-32-40}{2\cdot \:4}=-9[/tex]
Width of the sidewalk cannot be negative
so the width of the sidewalk is 1 feet
Learn more : brainly.com/question/21860114
GIVING BRAINLIEST FOR CORRECT ANSWER!!!!
Answers
Answer:
All systems have 2 real solutions.
Step-by-step explanation:
there are X and Y unknowns.
It took Sheldon 17 5/6 minutes to walk to Raj's house. The bus ride home took Sheldon 4 5/8 minutes. How many more minutes did it take Sheldon to walk than to take the bus?
Answers
Answer:
it will take her [tex]13\frac{5}{24}[/tex] minutes more to walk down to Raj's House
Step-by-step explanation:
It took Sheldon [tex]17 \frac{5}{6}[/tex] minutes to walk to Raj's house
It also took Sheldon [tex]4\frac{5}{8}[/tex] minutes to use the bus.
To get the time difference between the two transport mechanisms, we subtract their different time durations.
This will be
[tex]17\frac{5}{6} - 4\frac{5}{8}=317/24[/tex]
We can convert this to Mixed fractions as shown [tex]13\frac{5}{24}[/tex] minutes.
Therefore, it will take her [tex]13\frac{5}{24}[/tex] minutes more to walk down to Raj's House
baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Tickets prices for the upper deck are 75% of the cost of tickets for the lower deck. Which inequality represents all possible combinations of x, the number of tickets for the lower deck, and y the number of tickets for the upper deck, that someone can buy for no more than $800?
A.) 42x + 56y < 800
B.) 42x + 56y > 800
C.) 42x + 31.5y > 800
D.) 42x + 31.5y < 800
Answers
Answer:
b
Step-by-step explanation:
Answer:
the answer is D
Square LAMP has vertices L(-2, -3), A(4, -1), M(2,5), and P(-4, 3). What is the
perimeter of the square?
Answers
Answer:
The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
Step-by-step explanation:
The rule of the distance between two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
∵ LAMP is a square
∵ The sides of the square are equal in lengths
∴ LA = AM = MP = PL
Let us find the length of one side of it
∵ L = (-2, -3) and A = (4, -1)
∴ x1 = -2 and y1 = -3
∴ x2 = 4 and y2 = -1
→ Substitute them in the rule of the distance above to find LA
∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]
∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]
→ Simplify the root
∴ LA = 2[tex]\sqrt{10}[/tex] units
∵ The perimeter of the square = 4 × side
∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]
∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]
∴ The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units