At what coordinate point with the graph of y = 3x - 8 intersect that of its inverse?
Answers
Answer:
Point of Intersection: (-4, -4)
Step-by-step explanation:
Given the linear equation, y = 3x + 8:
We must determine its inverse, which will enable us to find the point of intersection between the given equation and its inverse.
Start by switching x and y in the given linear equation:
y = 3x + 8
x = 3y + 8
Next, subtract 8 from both sides:
x - 8 = 3y + 8 - 8
x - 8 = 3y
Multiply both sides with ⅓ to isolate y:
⅓ (x - 8) = (3y) ⅓
[tex]\displaytext\mathsf{\frac{1}{3}x\:-\frac{8}{3}\:=\:y}[/tex]
Replace y with [tex]\large{\textit{f}\:^{-1}(\textit{x}\:)}[/tex]:
[tex]\displaytext\mathsf{\textit{f}\:^{-1}(\textit{x}\:)\:=\frac{1}{3}x\:-\frac{8}{3}}[/tex] ⇒ This is the inverse function of y = 3x + 8.
Graph both equations:Next, we must graph both equations.
Plot the y-intercept, (0, 8), and use the slope of the given linear equation, m = 3, to plot other points on the graph.
Similarly, to graph the inverse function, take the y-intercept, [tex]\displaytext\sf{(0,\:-\frac{8}{3})}[/tex], and use the slope, m = ⅓, to plot other points on the graph.
Attached is the graph of the linear equation, y = 3x + 8, and its inverse, [tex]\displaytext\mathsf{\textit{f}\:^{-1}(\textit{x}\:)\:=\frac{1}{3}x\:-\frac{8}{3}}[/tex] , where it shows that the point of intersection occurs at point, (-4, -4).
Related Questions
-2x -3 for x = -3
( Evaluate the following algebraic expression )
Answers
Answer:
well its -2*-3-3 so
-2*-3 is 6-3 is 3
Step-by-step explanation:
Least common mutiple. for 9 and 30?
Answers
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99,
Multiples of 30:
30, 60, 90, 120
Hope this is helpful.
question 6 please! ❤️
Answers
Answer:
1. Correct
2. C.
3. C.
4. Correct
5. Incorrect. Answer: C. (The constant term is the term with no variable.)
6. C.
7. B.
8. A.
9. B.
10. B.
solutions: ( x = 2 & x = -2 )
Answers
hmmmmhmmmmmmmmmmmmmmmmmmmmmm
Find the slope of the line through the given points
Answers
slope is rise over run
-3+(6)=3
7-(24)=-17
so 24/6=8/2=4/1
so 4/1 is the slope
Choose the equation that represents the graph shown
Answers
Answer:
y = |x| + 5
Step-by-step explanation:
Calculate the points with x = -4 to 4 and match the plots. (Attached)
if a/3=b/2, what are the following ratios?
a+b/b
Answers
Answer:
1
a+1
es posible q hayan doble respuesta
Step-by-step explanation:
Pasos
a+b/b
Divide b entre b para obtener 1.
da
d
(a+1)
La derivada de un polinomio es la suma de las derivadas de sus términos. La derivada de cualquier término constante es 0. La derivada de ax
n
es nax
n−1
.
a
1−1
Resta 1 de 1.
a
0
Para cualquier término t excepto 0, t
0
=1.
1
a+b/b
Divide b entre b para obtener 1.
a+1
are 16/72 and 18/81 equivalent rational numbers
Answers
Answer:
yes
Step-by-step explanation:
[tex]\frac{16}{72}[/tex] ( divide numerator/ denominator by 8, the LCM of 16 and 72 )
= [tex]\frac{2}{9}[/tex]
[tex]\frac{18}{81}[/tex] (divide numerator/ denominator by 9 the LCM of 18 and 81 )
= [tex]\frac{2}{9}[/tex]
Both rational numbers simplify to [tex]\frac{2}{9}[/tex] and are equivalent
What is the value of l 3 l?
Answers
Answer:
3
Step-by-step explanation:
-3
I’m pretty sure this is correct because isn’t absolute value the opposite
A house has increased in value by 3% each year. It was worth £150000 4 years ago. How much is it worth now? Give your answer to a sensible degree of accuracy. morto
Answers
Answer: 350000
Step-by-step explanation: Hope this helps :) (if wrong please make sure next time add answer that can be picked from it better or if theres no answers maybe give some more detail?)
!!will mark BRAINLIEST if all are anwsered!!
Answers
Answer:
8) 31.4 ft
9) Scalene Triangle , and a right Triangle
10) 36 [tex]ft^{2}[/tex]
11) 2
12) 4/5
Step-by-step explanation:
8) Find last length
12^2+6^2=x^2
x=[tex]\sqrt{180}[/tex]
13.4
Perimeter = 13.4+12+6 = 31.4 ft
9)
10) area = 1/2 b*h = 1/2*12*6 = 36 [tex]ft^{2}[/tex]
11) slope = rise /run = 2/1 = 2
12) 80% will be girls, therefore 80/100 = 4/5
If K = F( A + B ) , find “ A ” if F = 2 , B = 3 , K = 10
Answers
Answer:
The value of A is 2
Step-by-step explanation:
F = 2 , B = 3 , K = 10
K = F( A + B )
10 = 2(A + 3)
10 = 2A + 6
Now, Subtract 6 from each side we get,
10 - 6 = 2A + 6 - 6
4 = 2A
2A = 4
Now, divide both side by 2 we get,
2A/2 = 4/2
A = 2
Thus, The value of A is 2
FOR VERIFICATION ONLY :-K = F( A + B )
10 = 2(2 + 3)
10 = 2(5)
10 = 10
L.H.S = R.H.S
Hence Proved!
-TheUnknownScientist 72
Someone Answer this for me pls
Answers
Answer:
It's equilateral. Equilateral triangles are three equal-sided polygons. Remember that. It helps.
What is 2x-3y=12 on a graph?
Answers
Answer ASAP please<3
Answers
Step-by-step explanation:
So if you multiply both the numerator and denominator by the same number, you get the initial number. Your goal here is to get the same denominator so that you can solve the problem easily! hope it helped!
At the beginning of a population study, a city had 390,000 people. Each year since, the population has grown by 1.1%.
Let t be the number of years since start of the study. Let y be the city's population.
Write an exponential function showing the relationship between y and t.
Answers
Answer:
t=number of years since start of the study.
y=city´s population.
first year:
y=390,000+0.073(390,000)=390,000(1+0.073) (=418470)
Second year:
y=(390,000(1+0.073) + 0.073(390,000(1+0.073) =
=390,000(1+0.073) (1+0.073)
=390,000(1+0.073)²
(≈449,018.31)
Third year: if you calculate it you would have:
y=390,000(1+0.073)³
Fourth year: if you compute it you would have:
y=390,000 (1+0.073)⁴
t th year:
y=390,000(1+0.073)^t
Answer: y=390,000(1+0.073)^t
Step-by-step explanation:
PLZ ANSWER DIS IS DUE IN 30 MIN Evaluate the expression, mn2, when m = 13 and n = = 12
Answers
Answer:
166
Step-by-step explanation:
m =13
n = 12
m x n
= 13 x 12
= 166
If the length of the line segment CD is 65% of the length of the line segment AB, what is the length of line segment CD? (AB is 13in)
Answers
Answer:
8.45
Step-by-step explanation
Convert 65% in decimal form
0.65 x 13 = 8.45
(13x2+9x-4)-(12x2-2x+6)
add or subtract the polynomials
Answers
Answer:
[tex]x^{2} +11x-10[/tex]
Step-by-step explanation:
[tex](13x^{2} +9x-4)-(12x^{2} -2x+6)[/tex]
Remove the brackets and multiply the minus sign through all the numbers in the second polynomial
[tex]13x^{2} +9x-4-12x^{2} +2x-6[/tex]
Rearrange in the highest order
[tex]13x^{2} -12x^{2} +9x+2x-4-6[/tex]
Simplify
[tex]x^{2} +11x-10[/tex]
#3 A Firefighter needs to reach window that is 35 feet up. If the fire
department has a 37 foot ladder how far away from the building should
they put the bottom of the ladder?
Answers
Answer:
2 feet away from the building
Step-by-step explanation:
Hope this helps!
Simplify (12+3i)−(−5+2i)
Answers
Answer:
17+5i
Step-by-step explanation:
add the like terms
double negative equals positive
;)
Answer:
17+i
Step-by-step explanation:
HELP ME PLZ
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25 ⋅ 103 seconds?
Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad:
1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Justify your answer.
Answers
Answer:
salamat po sa
points.
pa
Step-by-step explanation:
branlest
answer
po
Solve the equation x2 + x = 12.
Answers
please give brainliest
Let's solve your equation step-by-step.
x2+x=12
Step 1: Subtract 12 from both sides.
x2+x−12=12−12
x2+x−12=0
Step 2: Factor left side of equation.
(x−3)(x+4)=0
Step 3: Set factors equal to 0.
x−3=0 or x+4=0
x=3 or x=−4
Answer:
x=3 or x=−4
A sporting goods company can ship
6 footballs in each carton. How many
cartons are needed to ship 75 footballs?
Answers
Answer:
12.5
Step-by-step explanation:
75 ÷ 6
Find the slope of a line parallel to the line whose equation is y-4=7(x+2).
Answers
Answer:
m'=7
Step-by-step explanation:
they are parallel to each other so if slope of 1st line be "m" and 2nd line as "m' ", then we have:
m = m'
y-4=7x+14
y=7x+18
y=mx+h
So m = 7
& m' = 7
Determine the slope of the line passing through (4,-2) and (7,10)?????
Answers
Answer: 4
Step-by-step explanation:
(4,-2) will be point 1, (7,10) will be point 2. The order doesn't matter.
slope = y2-y1 / x2 - x1
slope = 10 - (-2) / 7 - 4
slope = 12 / 3
slope = 4
The slope of the line that passing through (4, -2) and (7, 10) is 11/3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
(4, -1) = (a, b) and (7, 10) = (c, d)
Slope:
= (d - b) / (c - a)
= (10 + 1) / (7 - 4)
= 11 / 3
Thus,
The slope is 11/3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
What is the slope of this graph?
A-4
B 1/4
C-1/4
D 4
Answers
Answer:
The answer is D
Step-by-step explanation:
The line has 2 points: (-1;0) and (0;-4)
=> x1 = -1; x2 = 0 => x1 - x2 = -1 - 0 = -1
y1 = 0; y2 = -4 => y1 - y2 = 0 - 4 = -4
=> slope = (y1 - y2)/(x1 - x2) = [tex]\frac{-4}{-1}[/tex] = 4 => D
whats the answer to g^-1(1)
Answers
Answer:
g^-1
Step-by-step explanation:
g^-1 times 1
is g^-1
Answer:
1/g
Step-by-step explanation:
g^-1(1)
= g^(-1 * 1)
= g^(-1)
= 1/g
Hence, g^-1(1) is 1/g
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
¼ x = 12 i need help plz thanks
Answers
Answer:
48
Step-by-step explanation:
1/4 x = 12
x = 4*12
x=48
write y+7 = 2/3 (4x-6) in standard form using integers
Answers
9514 1404 393
Answer:
8x -3y = 33
Step-by-step explanation:
Multiply by 3 to eliminate the fraction. Then rearrange to standard form.
y +7 = 2/3(4x -6) . . . . . . . given
3(y +7) = 2(4x -6) . . . . . . . multiply by 3
3y +21 = 8x -12 . . . . . . . . eliminate parentheses
33 = 8x -3y . . . . . . . . . . add 12-3y to both sides
8x -3y = 33 . . . . . . . . . swap sides to put into standard form
_____
Standard form has mutually prime integer coefficients, the leading one being positive.
