Using inverse function concepts, it is found that the graph of f(g(x)) is given as follows:
On a coordinate plane, a straight line has a positive slope and goes through (-3,-3), (0, 0), and (3, 3).
What happens when two inverse functions are composed?When two functions f(x) and g(x), that are inverse of one another, are composed, that is, y = f(g(x)), the resulting function is given by:
y = x.
Hence the graph of f(g(x)) is given as follows:
On a coordinate plane, a straight line has a positive slope and goes through (-3,-3), (0, 0), and (3, 3).
More can be learned about inverse functions at https://brainly.com/question/8824268
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NEED HELP INSTANTLY AND WILL GIVE BRAINLIEST AND THANKS
What is the slope of the line that passes through the points (2, −3.5) and (4, 5.5) ?
92
13
29
I don't know
Answer:
hope it helps you.......
The required slope of the line passing through the points is m = 9/2. Option A is correct.
Given that,
To determine the slope of the line that passes through the points (2, −3.5) and (4, 5.5).
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the line passing through two points is given by,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute value in the above equation
m= 5.5 +3.5 / 4 - 2
m = 9 / 2
Thus, the required slope of the line passing through the points is m = 9/2. Option A is correct.
Learn more about slopes here:
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(-3x^2)*(2x^2-3x^3y+5x^3y)
Answer:
-36x+134xy
Step-by-step explanation:
-3x to the power of 2 is -9x
2x to the power of 2 is 4x
now you have -9x times 4x-3x^3y+5x^3y
3x to the power of 3y is 9xy
5x to the power of 3y is 125xy
now you have: -9x times 4x-9xy+125xy
which is: -36x+9xy+125xy
which is: -36x+134xy
Three friends have dinner at a restaurant. The total bill for dinner is $41. The friends want to leave a 15% tip, how much money do they need to leave including tip?
Answer:
$47.15Step-by-step explanation:
Tip percentage = 15%
Total bill = $41
Tip = $6.15
[tex]41 \times 15\% \\ 41 \times \frac{15}{100} \\ \frac{615}{100} \ \\ 6.15 \\ [/tex]
Total bill including tip = $41 + $6.15 = $47.15
PLEASE HELP
Triangle B is a dilation of A with approximately what scale factor?
Answer:
Scale factor = 3.5
Step-by-step explanation:
Be handy to know what the line from the left is pointing at.
All you can do is guess. The length of the side starting at the point closest to the letter A is about 2 cm when using the magnifying glass.
The corresponding line on B is about 7 cm.
The scale factor is about 7/2 = 3.5
PLEASE HELP A LOT OF POINTS
What is a parabola that has an axis of symmetry at x = 4 and moved up 7 units?
Answer:
y= (x-4)^2 +7
Step-by-step explanation:
4 left
7 up
not vertical and horizontal stretch or compression
please help (2+2^2 divided by 4+3
Step-by-step explanation:
2+2 = 4
4^2 = 16
16/4 = 4
4 + 3 = 7
Answer:
4.5
Step-by-step explanation:
(2+2^2) ÷ 4+3
I will use PEMDAS (parenthesis, exponents, multiplication, division, addition, and subtraction)
Calculate 2 to the power of 2 and get 4. 2x2=4
(2+4)÷4+3
Add 2 and 4 to get 6. 2+4=6
6÷4+3
divide 6 by 4 to get 1.5 6÷4= 1.5
1.5+3
add 1.5 to 3 to get 4.5. 1.5+3= 4.5
It is stated that the functions and are determined by:
how do I set up an equation that can be used to determine the first coordinate of the intersection of the graphs?
Answer: I cant see the question that you asked putting it on the?
Step-by-step explanation:
The function f(t)=^ - 16t^ 2 +84t models the height of a ballt seconds after it was kicked straight up into the air. How many seconds does it take the ball to hit the ground ?
Answer:
5.25 seconds
Step-by-step explanation:
When the ball hits the ground the height is zero
Equate f(t) to zero and solve for t , that is
- 16t² + 84t = 0 ← factor out - 4t from each term
- 4t(4t - 21) = 0
Equate each factor to zero and solve for t
- 4t = 0 ⇒ t = 0
4t - 21 = 0 ⇒ 4t = 21 ⇒ t = [tex]\frac{21}{4}[/tex] = 5.25
t = 0 is the time when the ball is kicked
t = 5.25 is the time taken for the ball to hit the ground
HELP WILL REWARD BRAINLIEST!!
What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
Answer:
118°
Step-by-step explanation:
When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.
Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.
Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.
(5x + 17) + (15x - 17) = 180
5x + 15x + 17 - 17 = 180
20x = 180
20x/20 = 180/20
x = 9°
Nkw let's substitute x = 9 into the equations
5x + 17 =
5(9) + 17 =
= 62°
15x - 17 =
15(9) - 17 =
= 118°
Both equations should add up to be 180°.
Therefore the measure of the largest angle is 118°.
Which equation can be used to describe the relationship between x and y shown in the table below?
Answer:
y=-1x
Step-by-step explanation:
You would find the constant of proportionality which is -1 and then you would put that into that spot and get y=-1x
what is bda+c if a=−2 , b=3 , c=−12 , and d=−4 .
Answer:
12
Step-by-step explanation:
Substitute the values for their respective variables and evaluate.
[tex]bda+c\\\\(3)(-4)(-2)+(-12)\\\\24-12\\\\12[/tex]
Answer:
(3)(-4)(-2)+(-12)
24-12 because the 12 is a negative -12 so that would make the + sign a negative
so ur answer is 12
Step-by-step explanation:
h(x)= 2/3x= 4 the x value
Answer:Rewrite the function as an equation. y = 2 3 x − 4 Combine 2 3 and x . y = 2 x 3 − 4 Choose any value for x that is in the domain to plug into the equation. Choose 0 to substitute in for x to find the ordered pair. Tap for more steps... ( 0 , − 4 ) Choose 1 to substitute in for x to find the ordered pair. Tap for more steps... ( 1 , − 10 3 ) Choose 2 to substitute in for x to find the ordered pair. Tap for more steps... ( 2 , − 8 3 ) These are three possible solutions to the equation. ( 0 , − 4 ) , ( 1 , − 10 3 ) , ( 2 , − 8 3 )
)Step-by-step explanation:
Which answer is correct show your work
omg I will Be Marking A Brainlist
[tex] \frac{35 - 3}{20 - 4} = \\ [/tex]
[tex] \frac{32}{16} = \\ [/tex]
[tex]2[/tex]
d = 2
__________________________________
t(4) = t(1) + 3d
3 = t(1) + 3×2
3 = t(1) + 6
t(1) = 3 - 6
t(1) = - 3
__________________________________
t(n) = t(1) + (n-1)(d)
t(32) = - 3 + 31×2
t(32) = -3 + 62
t(32) = 59
Some school students are raising money for a charity. Their goal is to raise $1000. They already have $232 from bake sales. To raise the remainder, they are planning a walk-a-thon. If each person walking raises $24, how many walkers will the students need to reach their goal?
Answer:
It will be needed 32 walking students to reach the goal
Step-by-step explanation:
1000 - 232
768/24= 32
Answer:
32 walkers.
Step-by-step explanation:
$1000 minus the $232 we have already raised from the bake sale to determine the amount we need to raise from the walk-a-thon.
1000 - 232 = 768.
So in order to raise 768, and we are raising $24 per person we will divide to figure out how many people we need.
768 / 24 = 32.
You can check this answer by multiplying 24 and 32, and then adding the 232 to the product.
24 x 32 = 768
768 + 232 = 1000
if you drive 80kph for 3 hours and 45 minutes how far do u drive
Answer:
300 pretty sure
Step-by-step explanation:
what is the answer for 8 x 12.231
Answer: 97.848
Step-by-step explanation: you know calculators exist, right?
63 is what percent of 66?
Answer:
63 is 95.45% of 66
Step-by-step explanation:
In order to determine the percentage of 63 relative to 66, we could simply divide 63 by 66 (which represents 63 as a percentage of a whole, 66):
[tex]\frac{63}{66}[/tex] = (63 ÷ 66) × 100 = 0.9545 × 100 = 95.45%
Therefore, 63 is 95.45% of 66.
Could someone please help me pleasee
Answer:
Color where I put the dots (picture attached).
Step-by-step explanation:
Hope this helps/is correct.
Please don't be mad if it's wrong, this is simply what I understood from the instructions. :)
PS. You don't have to copy the line, that's just for you to get an idea.
Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per week. This week, her goal is to make at least $75.
Use a system of inequalities to model the scenario above. Let x represent babysitting hours and y represent tutoring hours.
Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week.
Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model.
Part a) Use a system of inequalities to model the scenario
Let
x-------> represent babysitting hours
y-------> represent tutoring hours
we know that
--------> inequality
--------> inequality
Part b) Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week
we know that
--------> inequality
This inequality represent Jeanne’s possible number of hours worked this week
Using a graph tool
the solution of this inequality is the shaded area
see the attached figure N
--------> inequality
This inequality represent Jeanne’s probable income earned this week
Using a graph tool
the solution of this inequality is the shaded area
see the attached figure N
Part c) Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model
we have the system of inequalities
--------> inequality
--------> inequality
the solution of the system of inequalities is the shaded area
using a graph tool
see the attached figure N
Let
------> see the attached figure N
The point belongs to the shaded area, so it is a system solution.
If the point is a solution, it must satisfy both inequalities.
Prove algebraically
substitute the value of x and y in the inequalities
inequality
------> is ok
inequality
-------> is ok
the point A satisfy both inequalities
therefore
the point A is a solution of the system
Answer:
the answer is B, Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week.
Step-by-step explanation:
A conical water tank with vertex down has a radius of 14 feet at the top and is 28 feet high. If water flows into the tank at a rate of 30 ft3/min, how fast is the depth of the water increasing when the water is 18 feet deep
Answer:
Mark me as brainlist
Step-by-step explanation:
The rate of change of one quantity in a system often causes other quantities to change. By knowing the relationship between the different quantities, we may be able to find the relationship between their rates of change.
Using polar coordinates, evaluate the integral which gives the area which lies in the first quadrant between the circles x2 y2=64 and x2−8x y2=0.
You mention circles, so I assume the missing symbols are plus signs.
The first circle has equation x² + y² = 64 = 8², so it's centered at the origin and has radius 8. In polar coordinates, we take x = r cos(θ) and y = r sin(θ). Then this circle's equation is
(r cos(θ))² + (r sin(θ))² = 64
r² (cos²(θ) + sin²(θ)) = 8²
r = 8
Complete the square in the second circle's equation to determine its center and radius:
x² - 8x + y² = x² - 8x + 16 + y² = 16 ⇒ (x - 4)² + y² = 4²
so the second circle is centered at (4, 0) with radius 4. In polar coordinates, this equation becomes
(r cos(θ) - 4)² + (r sin(θ))² = 16
r² (cos²(θ) + sin²(θ)) - 8r cos(θ) + 16 = 16
r² - 8r cos(θ) = 0
r - 8 cos(θ) = 0
r = 8 cos(θ)
Determine where these two circles intersect:
8 = 8 cos(θ)
cos(θ) = 1
θ = arccos(1) + 2nπ
θ = 2nπ
where n is any integer. So both circles intersect once at (8, 0), which means they are tangent to one another, and since the second circle's radius is smaller, it must lie completely within the larger one.
The region between the two circles is the set
R = {(r, θ) : 0 ≤ θ ≤ π/2 and 8 cos(θ) ≤ r ≤ 8}
The area of R is given by the double integral,
[tex]\displaystyle \iint_R dA = \int_0^{\frac\pi2} \int_{8\cos(\theta)}^8 r \, dr \, d\theta[/tex]
or the single integral
[tex]\displaystyle \iint_R dA = \frac12 \int_0^{\frac\pi2} \left(64 - 64\cos^2(\theta)\right) \, d\theta[/tex]
Recall the half-angle identity for cosine:
cos²(x/2) = (1 + cos(x))/2
Then the area is
[tex]\displaystyle \iint_R dA = 16 \int_0^{\frac\pi2} \left(1 - \cos(2\theta)\right) \, d\theta[/tex]
[tex]\displaystyle \iint_R dA = 16 \left(\theta - \frac12 \sin(2\theta)\right) \bigg|_0^{\frac\pi2}[/tex]
[tex]\displaystyle \iint_R dA = \boxed{8\pi}[/tex]
Work out m and c for the line: 3 y + 2 x = 1
Answer:
y=1
x=1/5
Step-by-step explanation:
(ASAP) Toby hiked to a famous point with a beautiful view. It took 1 hour and 45 minutes to hike to the viewpoint and 1 hour and 7 minutes to hike back. Toby spent 1 hour and 37 minutes enjoying the view. If Toby started the hike at 9:27 A.M., what time did he get back?
Answer:
he returned at 1:56 pm pls give brainliest
The late fee for overdue books at a library is $0.25 per day per book, with a maximum late fee of $5.00 per book. Which graph models the total late fee for 3 books that were checked out on the same day and are overdue? Fees for Overdue Books Fees for Overdue Books A Late Fee ($) С Late Fee ($) 0 1 O 2 3 4 5 6 7 8 9 10 Days Overdue $ 799 10 Days Overdue Fees for Overdue Books Fees for Overdue Books 5 Late Fee ($) D Late Fee ($) 01 524 529 Days Overdue Days Overdue
Answer:
it would be D, right? A, says that everyday they have to pay $0.25 for all 3 books. C, is saying that for 3 books it costs $1 everyday. B, says that everyday they have to pay $0.50 for 3 books. But D, is saying that you have to pay $0.75 everyday for 3 books. $0.25 * 3 = $0.75. That is why I think it’s D.
Step-by-step explanation:
15) Find all the missing angles (7 more angles) and write your 7 answers as
follows: Angle 1=_, Angle 2=__, Angle 3=__, Angle 4=_, Angle 5=-
Angle 6=_, Angle 7=
*
с
1540
Y
1
Х.
2
3
w
4
5
6
7
Z
D
Answer:
4444444444445566tfcgyjbde467jndw34u
0.1z = 0.2(z + 2)
z=?????????????????
Answer:
-4
Step-by-step explanation:
0.1z = 0.2(z + 2)
0.1z = 0.2z + 0.4
-0.1z = 0.4
z = -4
Answer:
z = -4
Step-by-step explanation:
Distributive Property: a(b + c) = ab + ac
1. Distribute
0.1z = 0.2(z) + 0.2(2)
0.1z = 0.2z + 0.4
2. Subtract 0.2z from both sides
0.1z - 0.2z = 0.2z - 0.2z + 0.4
-0.1z = 0.4
3. Divide both sides by -0.1 to isolate the variable
-0.1z ÷ -0.1 = 0.4 ÷ -0.1
z = -4
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If I read 80%of a book and there 16 pages left how many total pages were in the book
Answer:
Fourteen fourteen fourteenth fourteenth fourteenth fourteenth
product of 3y and 4 (7th grade)
Answer:
12y
Step-by-step explanation:
ill give you more websites if you need them!
Answer:
-1x - 5
Step-by-step explanation:
Okay, so I believe you need to find what 3x + 5 and -4x - 10 equals?
For this you have to add like terms:
3x - 4x = -1x
5 - 10 = -5
If this isn't it just comment and I'll edit my answer! :)
Select the correct answer. What are the roots of the quadratic equation Y =x^2-10x+125 A x=5+-5√6 B x=-5+-10i C x=-5+-5√6 D x=5+-10i
Answer:
Option D: x = 5 ± 10i
Step-by-step explanation:
Given the quadratic equation, y = x² - 10x + 125,
where:
a = 1, b = -10, and c = 125:
Use the following quadratic formula to solve for the roots:
[tex]\displaystyle\mathsf{x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\displaystyle\mathsf{x=\frac{10\pm\sqrt{(-10)^2-4(1)(125)}}{2(1)}}[/tex]
[tex]\displaystyle\mathsf{x=\frac{10\pm\sqrt{100-500}}{2}\:=\:\frac{10\pm\sqrt{-400}}{2}}[/tex]
Apply the imaginary unit rule, where it states that: [tex]\displaystyle\mathsf{\sqrt{-a}\:=\:i\sqrt{a}}[/tex] :
[tex]\displaystyle\mathsf{x=\frac{10\pm\:20i}{2}}[/tex]
[tex]\displaystyle\mathsf{x=\frac{10\:+\:20i}{2}\:=\frac{10(1\:+\:2i)}{2}\:=\:5(1+2i)}\:=5+10i}[/tex]
[tex]\displaystyle\mathsf{x=\frac{10\:-\:20i}{2}\:=\frac{10(1\:-\:2i)}{2}\:=\:5(1-2i)}\:=5-10i}[/tex]
Therefore, the correct answer is Option D: x = 5 ± 10i .
