Answers
The requried pair of functions which are inverse of each other is f(x) = 13x - 7 and g(x) = x + 7 / 13.
What are functions?
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
(A)
Given function,
f(x) = x / 3 + 10
Its inverse function is given as,
f(x) - 10 = x/3
x = 3(f(x) - 10)
change x = g(x) and f(x) = x
g(x) = 3[x - 10]
Similarly,
Inversfunciton,
B. g(x) = 9/x - 5
C. g(x) = x + 7 / 13
D. g(x) = x³/4
Thus, the requried pair of functions which are inverse of each other is f(x) = 13x - 7 and g(x) = x + 7 / 13.
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Related Questions
!!! PLEASE HELP FAST !!
please help me with one a two :)
Answers
Answer:
Question 1Function given:
y = x² + 4x - 4In the vertex form:
y = x² + 4x + 4 - 8 = (x + 2)² - 8Axis of symmetry is the vertical line passing through the vertex.
The vertex is
(-2,-8)Axis of symmetry is
x = -2y- intercept is
x = 0 ⇒ y = -4, so the point (0, -4)Two other points are
x = 1 ⇒ y = (1 + 2)² - 8 = 9 - 8 = 1, the point is (1, 1)x = -1 ⇒ y = (-1 + 2)² - 8 = 1 - 8 = -7, the point is (-1, -7)See the graph with all the points plotted
Question 2Function given:
y + 2x² - 4x - 6 = 0In standard form:
y = -2x² + 4x + 6In vertex form:
y = - 2x² + 4x - 2 + 8 = -2(x - 1)² + 8The vertex:
(1, 8)Axis of symmetry is
x = 1y - intercept
x = 0 ⇒ y = -2(-1)² + 8 = -2 + 8 = 6, the point is (0, 6)Two other pints:
x = -1 ⇒ y = -2(-1 - 1)² + 8 = -8 + 8 = 0, the point is (-1, 0)x = 2 ⇒ y = -2(2 - 1)² + 8 = -2 + 8 = 6, the point is (2, 6)The graph is attached with the points plotted.
9 Darby graphed the equation y = 4x + 6 on a
graph. Samuel graphed the line defined by the
table.
x02
y 6 14
-35
-6 26
Which of the statements correctly compares the
two functions?
A. Both functions have the same y-intercept but
different slopes; therefore, Darby and Samuel
have graphed the same line.
B. Both functions have the same slope but different
y-intercepts; therefore, Darby and Samuel have
graphed parallel lines.
C. Both functions have the same y-intercept and
the same slope; therefore, Darby and Samuel
have graphed the same line.
D. Both functions have the same slope and the
same y-intercepts; therefore, Darby and Samuel
have graphed parallel lines.
Answers
Answer:
C
Step-by-step explanation:
Darby's equation in slope-intercept form: y = 4x + 6
Where,
Slope (m) = 4
y-intercept (b) = 6
Let's find the slope (m) and y-intercept (b) of the line Samuel graphed using the values of the given table.
Slope (m) using (0, 6) and (2, 14)
Slope (m) = ∆y/∆x = (14 - 6)/(2 - 0) = 8/2
Slope (m) = 4
y-intercept (b) = 6, because at x = 0, y = 6. This is where the line intercepts the y-axis.
Now, we can see that both functions has the same slope (m) = 4, and the same y-intercept (b) = 6
Both will have the same line.
HELP ASAP PLEASE I CANT FAIL THIS OR ELSE I GOTTA DO A WHOLE LESSON :( IM ALREADY SO BEHIND!!!!
Answers
Answer:
the last one on the bottom
Step-by-step explanation:
Answer:
the second one
Step-by-step explanation:
find the measure of the angel x
Answers
Answer:
80°+30°=180°
=110=180
x=70°
answer
Answer:
80 - 30 = 50
Step-by-step explanation:
bcz sum of two interior angle is equal to one exterior angle
11 - m = 51 - 6m solve for m
Answers
This should be the answer if not let me know
2/2m=8 2/2
Answer: m = 8.
Step-by-step explanation: Proof:
Helpppppppp meeeeeeeee
Answers
Answer:
[tex]V = 97.911in^3[/tex]
Step-by-step explanation:
Given
Shapes: Cube and Cone
Required
Determine the volume
First we calculate the volume of the cube
[tex]V_1 = l^3[/tex]
Where
l = side length = 5.1
[tex]V_1 = 5.1^3[/tex]
[tex]V_1 = 132.651[/tex]
Next, calculate the volume of the cone using:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
Where
h = 5.1
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 5.1[/tex]
[tex]r = 2.55[/tex]
So, we have:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]
[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]
[tex]V_2 = \frac{729.5805}{21}[/tex]
[tex]V_2 = 34.74[/tex]
The volume of the figure is:
[tex]V=V_1 - V_2[/tex]
[tex]V_1 = 132.651[/tex]
[tex]V = 132.651 - 34.74[/tex]
[tex]V = 97.911in^3[/tex]
Help me on question 3 pls I’ll Karl you as brainliest
Answers
what is the purpose of the dx in the integral ∫2x dx?
Answers
Answer:
[tex]dx[/tex] denotes an infinitesimal displacement along [tex]x[/tex]
Step-by-step explanation:
The integration refers to the antiderivative of a function. The inverse process of differentiation is the integration.
The integration is used to find the volume and area under the curve.
In ∫ [tex]2x\,\,dx[/tex]
∫ denotes the sign of integral,
[tex]dx[/tex] denotes an infinitesimal displacement along [tex]x[/tex],
[tex]2x[/tex] is the part to be integrated.
From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28°. How tall is
the tower (remember: 3 decimal places)?
The height of the tower is [A] m.
Answers
Answer:
42.537 m
Step-by-step explanation:
Let x = height of tower
tan 28 = x/80
x = 80 tan 28
x = 42.537 m
y = -3x + 5? *
What’s the slope of the equation y =-3x+5
Answers
Answer:
The slope is -3
Step-by-step explanation:
The formula is y= mx + b
m = slope
b= y intercept
Therefore, the slope is -3
Which expression is equivalent to -32^3/5?
Answers
Answer:
the first one
Step-by-step explanation:
Plz help me :) dropdowns
1) vailid/ not valid
2) unbiased/biased
3)appropriate/ inappropriate
Answers
Answer:
1
Step-by-step explanation:
if A and B are two events, the probability of occurrence of either A or B is given as :
a) p(A) + p(B)
b) P(AuB)
c) P (AnB)
d) P(A).P(B)
Answers
Answer:
p(A) + p(B)
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. The probability of an event happening or another is the sum of the individual probabilities.
As such, if A and B are two events, the probability of occurrence of either A or B is given as
= p(A) + p(B)
where p(A) and p(B) are the probabilities of A happening and B happening respectively.
Guys please help! It would mean a lot if you guys tell me how did u get the answer as well.
Answers
Answer:
[tex]24a^{9}b^{4}[/tex] , so I believe the first option!
Step-by-step explanation:
6 x a to the 7th x b to the 3rd x 4 x a to the second x b =
6 x 4 x a to the (7 + 2) power x b to the (3+1) power =
[tex]24a^{9}b^{4}[/tex]
Hope that helps!
Answer:
24a^9b^4
Step-by-step explanation:
When finding the area of a rectangle, you need to multiply the length by the width:
(6a^7b^3)(4a^2b)
6 times 4 is 24.
When we multiply exponential numbers, we add their exponents:
(a^7)(a^2)=a^9
and
(b^3)(b^1)=b^4
So our completed answer is:
24a^9b^4
HTH :)
Find the value of x.
Answers
Answer:
64
Step-by-step explanation:
Answer:
The answer is 61˙
Step-by-step explanation:
The total trapezoid is supposed to equal to 360
100 + 130 + 66 + x
230 + 66 + x
299 + x
360 - 299 = 61
104º
(9y - 5)º
(12x + 2019
Solve for x
Answers
12x+20=104 (vertically opposite angles)
-20 on each side
12x=84
÷12 on each side
x=7
hope that helps^^
Answer:
x = 7.
Step-by-step explanation:
12x + 20 = 104 (Vertical angles are congruent).
12x = 84
x = 7.
How many quarts will you get if you mix 5 gallons 5 quarts and 6 pints
Answers
Answer:
28
Step-by-step explanation:
There are 4 quarts in a gallon, and since we have 5 gallons that gives us 20 quarts. Then we add the 5 quarts to give us 25 quarts. Finally, there are 2 pints in quart, so that gives us 3 quarts. Add those last three quarts and we get 28 quarts in all.
Total quarts when you mix 5 gallons 5 quarts and 6 pints is, 28 quarts
We have to given that,
To find total quarts if you mix 5 gallons 5 quarts and 6 pints.
Since, 1 gallon = 4 quarts
Hence, 5 gallons = 5 x 4 = 20 quarts
And, 1 pints = 1/2 gallons
Hence, 6 pints = 6/2 gallons
= 3 gallons
So, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,
20 + 5 + 3
28 quarts
Therefore, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,
28 quarts.
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Lowest common multiple of 16 and 32?
Answers
Answer:
4
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Kalansız bir bölme işleminde bölünen ile bölenin farkı 385 bölüm 12 olduğuna göre bölünen kaçtır
Answers
Step-by-step explanation:
bence 32 Kalansız bölme işleminde ama yinede sen bilirsin iyi akşamlar
Which set of numbers is arranged in decreasing order?
A. 6.82. 26v375
B. 27.55.6.82, 137
C. 6.82.27.55.37
D. 27. 6.82, 137.55
Answers
Answer:
6.82.26v375 is the descreasing order
Answer:
it is c, 6.82 2pi 55/9 sq37
Step-by-step explanation:
Question 1
The quotient of 100 and n is equal to 20.
Write an equation to describe this situation.
Equation:
Answers
4x-y=10
y=2
Pls show work will give Brainlyest
Answers
Answer:
give y is equal to 2
substituting the value of y, we get
4x -y = 10
4x=10 +2
4x=12
x=12÷4
therefore x =3
8. The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)
Answers
Answer:
116
Step-by-step explanation:
8
=36
Question 5
A carpet remnant is shaped like a triangle. It has a height of 32 inches and a base of 8 inches. Find the area.
128 square inches
256 square inches
320 square inches
64 square inches
Answers
2x+3y=12
if y=8
what is x
Answers
Answer:
-6
Step-by-step explanation:
2x + 3(8) = 12
2x + 24 = 12
2x = 12 - 24
2x = -12
x = -12/2
x = -6
2x+3y=12
2x+3(8)=12
2x+24=12
-24 -24
2x=-12
\2 \2
x=-6
What is the answer to 3x(2 1/5)=
Answers
Answer:
(6 3/5) * (x)Step-by-step explanation:
3x(2 1/5)= (6 3/5) * (x)
Answer:
6 3/5
Step-by-step explanation:
What is the value of 21/8 divided by 3/4.
Answers
What is the great common factor between 68 and 54?
Answers
Answer:
2
Step-by-step explanation:
Maria has 6 pizza slices and wants to split them among her and 8 other friends. If each person gets the same amount, how much of the pizza slice will each person get?
Answers
Answer:
1 if u cut all of them in half
Step-by-step explanation:
I will mark you as brainliest if you get the question right
Answers
Answer:
103
Step-by-step explanation:
x = 180-77 = 103
because it's a straight line, so 180 - 77 to find x