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
In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (4x-15)^{\circ}m∠QRS=(4x−15) ∘ , \text{m}\angle RPQ = (x+1)^{\circ}m∠RPQ=(x+1) ∘ , and \text{m}\angle PQR = (x-2)^{\circ}m∠PQR=(x−2) ∘ . Find \text{m}\angle RPQ.m∠RPQ.
Answers
Answer:
Step-by-step explanation:
Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.
From the hypothesis, we have:
m∠QRS =(10x−12)∘(10x−12)
m∠PQR = (3x+20)∘(3x+20)
m∠RPQ=(3x−8)∘(3x−8)
Using the first equation and replacing the hypothesis:
m∠QRS = m∠PQR + m∠RPQ
(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)
Multiplying and applying the remarkable identity:
Then, we use a calculator to find the roots, which are:
In this case, we will see what root is the right one.
Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.
m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
if you are doing deltamath
Which graph can be defined by the function y = -3x + 2
Answers
Answer:
Step-by-step explanation:
8> -1; Subtract 8 from both sides.
Answers
Answer:
0 > -9
Step-by-step explanation:
8 > -1
-8 -8
0 > -9
A rug is 6 feet wide and 10 feet long. What is the ratio of the length to the width in simpliest form?
*3:5
*3:8
*5:3
*8:3
Answers
Hey,
Length to width ratio ;
[tex] \frac{10}{6} = \frac{10 \div 2}{6 \div 2} = \frac{5}{3} [/tex]
`Sorry if it's wrong
Good luck :)
David recorded the total number of miles he has driven in his car. He did not record data on day 5 or 8. The graph is shown below. using extrapolation estimate how many total miles he will have driven on day 5
A 115
B 102
C 80
D 130
Answers
Answer: 225
Step-by-step explanation:
Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are respectively 10 and 25
Answers
Answer:
0.95
Step-by-step explanation:
[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]
[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]
PLEASE HELP ASAP THANK U!!!!
Answers
Answer:
3
Step-by-step explanation:
Divide the polynomials.
25 points!!!!! right answer get's brainliest
Answers
Answer:
x - 2
Step-by-step explanation:
[tex] \frac{ {x}^{2} - 12x + 20}{x - 10} \\ \\ = \frac{ {x}^{2} - 10x - 2x + 20 }{x - 10} \\ \\ = \frac{x(x - 10) - 2(x - 10)}{(x - 10)} \\ \\ = \frac{(x - 10)(x - 2)}{(x - 10)} \\ \\ = x - 2[/tex]
Bottles of sparkling water usually cost $1.69 each. This week they are on sale for 4 for $5 You bought one last week and one this week. Did you pay more or less for the bottle this week?
Answers
Given:
Usual cost of a bottle of sparkling water = $1.69 each
This week they are on sale for 4 for $5.
To find:
Did you pay more or less for the bottle this week?
Solution:
We have,
Usual cost of 1 bottle = $1.69
On sale, cost of 4 bottles = $5
On sale, cost of 1 bottles = [tex]\dfrac{\$5}{4}[/tex]
= $1.25
Since, $1.25 is less than $1.69, therefore the unit cost on sale is less than usual unit cost.
Hence, you pay less for the bottle this week.
Which table of ordered pairs represents a proportional relationship? PLEASE HELP MEEEE!!!!!!
20 POINTS I THINK
Answers
the answer is B
your welcome
I need helpppp....:(
Answers
Answer:
D
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
For a pentagon with n = 5 , then
sum = 180° × 3 = 540° , thus
x = 540° ÷ 5 = 108
For an octagon with n = 8, then
sum = 180° × 6 = 1080° , thus
y = 1080° ÷ 8 = 135
Thus
x + y = 108 + 135 = 243 → D
Marsha is changing her phone
service. One data package charges
an initial fee of $50 and $13.25 per
month. The other has no initial fee
but charges $25.75 per month for
the same data package. After how
many months would Marsha have
paid the same amount for either
data package?
Someone help me plz quickly
Answers
month 4: 13.25*4=53. 53+50 = 103
month 4: 25.75*4 = 103
They both cost $103 on month 4
What is the quotient of 2/3 divided by 4 in simples form
Answers
Answer:
2/12 is equivalent fraction for 2/3 divided by 4
Step-by-step explanation:
2
3
&
4
2
3
÷
4= ?
step 2 Multiply 2/3 with reciprocal of 4
=2
3
x1
4
=2
12
The Quotient is 1/3.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
2/3 divided by 4
As, division is not possible in fraction so we will perform the multiplication
= 2/3 ÷ 4
= 2/3 x 1/4
= 2/6
= 1/3
Learn more about Division here:
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free paints and brianliest
Marry christmas guys
Answers
Answer:
Yo
Merry Christmas and have a great day onwards
and thank you ❤
Answer:
thanks a lot friend!!!
Step-by-step explanation:
.......
What is the value of the expression
3/5 (x-8) - y
When x=15 and y=1/10
A 11/10
B 21/10
C 31/10
D 41/10
Answers
Answer:
D 41/10
Step-by-step explanation:
substitute the values given into the equation. Calculate.
Answer:
D: 41/10
Step-by-step explanation:
Does 6(3-5w)=5(4-2w)-20w have one solution, no solution, or infinitely many solutions?
Answers
Answer:
infinite
Step-by-step explanation:
trust me I would know im a smart man in college
Two or more expressions with an Equal sign is called as Equation.6(3-5w)=5(4-2w)-20w have no solution
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 6 times of three minus five w equal to five times of four minus two w minus twenty w.
6(3-5w)=5(4-2w)-20w
Apply distributive law on LHS side
6(3)-6(5w)=5(4)-5(2w)-20w
18-30w=20-10w-20w
Let us take all the variable w terms to one side
18-20=30w-10w-20w
-2=0
Hence based on the given equation , it has no solution.
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There are 35 people who have
entered the sled race. If 60% of
them are over the age of 15, how
many participants are over 15?
Answers
Determine square of -p+6
Answers
Answer:
-12p+p^2+36
Step by step explanation:
(-p+6)^2 is the square of -p+6
we use the formula
(a+b)^2=2ab+a^2+b^2
(-p+6)^2=-12p+p^2+36
the minus of p disappears
I think you meant to say the SQUARE ROOT.
sqrt{-p + 6}
If you meant to SQUARE THE BIMOMIAL, then the set up is:
(-p + 6)^2
(-p + 6)(-p + 6)
p^2 -12p + 36
A large random sample of adults aged 40 to 50 living in San Francisco, California, was polled about how likely they are to purchase an electric vehicle sometime in the next year. To which population can the results of the poll safely be generalized
Answers
Answer:
Adults living in San Francisco, California
Step-by-step explanation:
The population is the large group from which the sample is selected or chosen. In the question given the sample is drawn from the adult population of San Francisco who are aged 40 to 50 to find out whether they can buy
an electric vehicle sometime in the next year.
The population it can be generalized to is adults living in San Francisco, California.
A population is defined as the group of all the individual members or objects having some common interest or characteristics.
The individual members are called the sampling units or simply units.
Answer:
adults only who live in San Francisco
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
expand and simplify 5(2x+1)-2(3x-6)
Answers
Answer:
4x + 17
Step-by-step explanation:
10x+5-2(3x-6)
10x + 5-6x+12
Tsunamis, or large tidal waves are generated by underwater earthquakes in the Pacific Ocean. The speed of the tsunami in meters per second is 3.1d, where di is the depth of the ocean in meters.
Answers
Answer:
hi
Step-by-step explanation:
so i thin is 38.00 why because te inequality
Heres a graph of a linear function. Write the equation that describes that function.
Answers
Answer:
Y=[tex]\frac{1}{3}[/tex]X-4
Step-by-step explanation:
Using the slope-intercept equation, a line is given as y=mx+b, where m represents the slope and b represents the y-intercept. From this graph, we can see that the slope is 1/3 and this line meets the y-axis at -4.
Thus, using that information, we substitute this into the equation to get
y= (1/3)x - 4
Please help!!! Thank you!!!
Answers
Answer:
1. 180° ∑triangle angles=180°
2. 2x
3. 52°
Snare Drum
Backbeats
Bass Guitar
Notes
3
2
90
60
120
80
Part A. Are the two quantities proportional? Justify your answer.
Yes they because they have the same constant proportionality.
Part B. What is the constant of proportionality? *
0.77
Answers
Answer : what do i answer
Step-by-step explanation:
EF is the midsegment of trapezoid ABCD. Determine the value of x. 12.6 F E
Answers
The value of x is 5, the correct option is B
What is a Trapezoid?A quadrilateral with one side parallel to the other is a Trapezoid.
The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.
In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.
The length of AB = 12.6
The length of the midline EF = 8.8
The value of x =?
From the definition,
8.8 = (12.6 + x) /2
8.8 * 2 = 12.6 +x
x = 5
Therefore,the correct option is B.
To know more about Trapezoid
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Factor the following polynomial: 12y5 – 8y3 + 24y2
A. 8y(2y4 – y2 + 3y)
B.4y2(3y3 – 2y + 6)
C. 4(3y5 – 2y3 + 6y2)
D. 4y(3y4 – 2y2 + 6y)
Answers
Answer:
The answer is B.
Step-by-step explanation:
12y5−8y3+24y2
=4y2(3y3−2y+6)
Melissa works for a florist. She used her employee discount to purchase 10 roses at $1.00 each. If melissa saved $4.00 by using her employee discount, what is the regular price if one rose purchased from the florist?
Answers
Answer: $1.4
Step-by-step explanation:
Given that:
Discounted price roses = $1
Amount saved = $4
Regular price - discounted price = amount saved
x - 10(1) = 4
x - 10 = 4
x = 4 + 10
x = $14
Regular price of 10 roses = $14
Regular price per rose = $14 / 10 = $1.4
Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Write your answer as a percentage rounded to one decimal place.
Answers
Answer:
9.33%
Step-by-step explanation:
Step one:
given
Principal= $10,000
Final amount = $150,000
time = 50-21= 29 years
Required
The rate
Step two:
to solve for the rate we can apply the formula for rate as
r = ln(A/P) /t
r= ln(150000/10000)/29
r= ln(15)/29
r=2.7080502011/29
r=0.0933
r= 0.0933*100
r= 9.33%
* EASY * how many like terms are in the expression?
14x - 14y +7 - x + z +2x
A. 0
B. 2
C. 3
D. 5
Answers
Answer:
It’s either 2 or 3 but I’m say 2.