Answer:
First, let's define some transformations:
Horizontal translation:
For a function f(x) a horizontal translation of N is written as
g(x) = f(x - N)
If N is positive we have a translation to the right
if N is negative we have a translation to the left.
Vertical translation:
For a function f(x) a vertical translation of N is written as
g(x) = f(x) + N
If N is positive we have a translation up
if N is negative we have a translation down
Vertical dilation.
For a function f(x), a vertical dilation of scale factor k is written as:
g(x) = k*f(x)
Now we can see that in our problem we have:
g(x) = (1/2)*f(x + 3) + 6
Then if we start wit f(x) we have:
first we have a dilation of scale factor k = 1/2
g(x) = (1/2)*f(x)
then we have a translation of 6 units up
g(x) = (1/2)*f(x) + 6
then a translation of 3 units to the left
g(x) = (1/2)*f(x - 3) + 6
URGENT GIVING BRAINLY and pts
Answer:
I think it's C.
22. Tell which line below is the graph of each equation in parts (a)-(d).
Explain.
a. 2x + 3y=9
b. 3x - 4y = 12
c. x-3y=6
d. 3x + 2y=6
PLEASE HELP TYYY!
Simplify 3(x+4)
A.3(x+4)
B.7x
C.12x
D.3X+12
Answer:
D. 3x + 12
Step-by-step explanation:
Distribute the 3 inside.
3 * x = 3x
3 * 4 = 12
3x + 12
Answer:
3x+12 (D)
Step-by-step explanation:
3(x+4)
=(3)(x+4)
=(3)(x)+(3)(4)
=3x+12
Hope this helps!
Please someone help! I've been struggling with this assignment! SHOW ALL WORK.
- Seats in a theater are curved from the front row to the back. The front row has 10 chairs, the second has 16 and the third has 22, and so on.
a) Write a recursive rule for this series:
b) Write an explicit rule for this series:
c) Using the explicit formula, find the number of chairs in row 5 (show work)
d) The auditorium can hold 17 rows of chairs. Write a sigma notation for this series, and then use either series formula to calculate how many chairs can fit in the auditorium.
Answer:
The series:
10, 16, 22, ...This is an AP with the first term a₁ = 10 and common difference d = 6
a) Recursive formula:
a₁ = 10,aₙ = aₙ₋₁ + 6b) Explicit formula:
aₙ = a₁ + 6(n - 1) ⇒ aₙ = 10 + 6n - 6 ⇒ aₙ = 6n + 4c) n = 5 ⇒ a₅ = ?
a₅ = 6*5 + 4 = 34d) S₁₇ = ?
Sₙ = n(a₁ + aₙ)/2 = n(2a₁ + (n - 1)d)/2S₁₇ = 17(2*10 + 16*6)/2 = 986Step-by-step explanation:
sn=15+(n-1)2
the 20th row n=20 so the seats are
15+(20-1)(2)=53 seats
Explicit formula:
aₙ = a₁ + 6(n - 1) ⇒ aₙ = 10 + 6n - 6 ⇒ aₙ = 6n + 4
Write a formula to illustrate this arithmetic sequence:
00
A group of 150 middle school students were asked whether they prefer playing video games or watching TV in their spare time. The genders of the students and
their responses are reported in the following table.
Playing video
games
Watching TV
Girls
23
64
Boys
43
20
E
(a) What percentage of the students are girls?
(b) What percentage of the students prefer watching TV?
х
$
2
Answer:
58%56%Step-by-step explanation:
a) Number of girls:
23 + 64 = 87Percentage:
87/150*100% = 58%b) Number of students prefer watching TV:
64 + 20 = 84Percentage:
84/150*100% = 56%Answer:
no of percentage of girls=no of girls/total ×100%
=87/150×100%=58%
percentage of the students prefer watching TV
=total no the students prefer watching TV/total std.×100%
=84/150×100%=56%
Kayla gets paid $10 for raking leaves and $15 for moving the lawn of each of the neighbours in her subdivision. This year she mowed lawns 10 times more than she raked leaves. In total she made $800 for doing both. How many times did she rake leaves?
Answer:
I think it's 65
Step-by-step explanation:
15*10= 150
What is the measure of n?
n
20
m
5
N= [?]
Please help I’ll give brainliest
Answer:
n = 10
Step-by-step explanation:
n is the altitude of the right triangle.
Apply the right triangle altitude theorem/geometric mean theorem to find n.
Which is:
h = √(xy)
Where,
h = n =?
x = 5
y = 20
Plug in the value into the equation
n = √(20*5)
n = √100
n = 10
Answer:
Step-by-step explanation:
Pls help me complete this
Answer:
415
Step-by-step explanation:
you would find out what the percentage of the first amount then multiply that decimal by 1200.
83/240
.3458333333333
ans x 1200
415
Tickets to a play cost $8.00 each.
Write an expression to find the
total cost of "b" boys &
"g" girls.
Answer:
Step-by-step explanation:
b + g = 8x
Hello, who would you do me the favor of helping me with this question?
He says:
Show, using the property of the number of diagonals of a polygon, that the triangles have no diagonals.
I hope they help me
Step-by-step explanation:
diagonal of a polygon formular =sum of diagonal =5-3-5/2. A triangle do not have diagonal
Can someone help me out please?
Need help with this one....
Answer:
(3, -2) (8,3) first box
(6,26) (2,10) second box
(5,-1) (1,1) third box
Step-by-step explanation:
You plug the left number into the equation as x and then do the math to find what y should be equal to. This number should be equal to the right number in the parenthesis.
ASAP it’s due tomorrow ASAP
Answer:
D
Step-by-step explanation:
Select all possible solutions for 2x + 7 ≤ 3x - 5.
Help this is due tomorrow!
Answer:
12,18,24,107, [I cant see the rest]
Step-by-step explanation:
x ≥ 12
Answer:
12
Step-by-step explanation:
The Goodsmell perfume company has a new line of perfume and is designing a new bottle for it. Because of
the expense of the glass required to make the bottle, the surface area must be less than 150 cm2. The
company also wants the bottle to contain at least 100mL of perfume. The design under consideration is in the
shape of a cylinder.
Determine the maximum volume possible for a cylindrical bottle that has a total surface area of less than 150
cm2 Determine the volume to the nearest 10mL. Report the dimensions of the bottle and the corresponding
surface are and volume.
This cylindrical perfume bottle needs to be boxed in a prism for sale on store shelves. The Goodsmell perfume
company would like a box with the smallest possible surface area which will contain your design for the
perfume bottle. Report the dimensions of the box and the corresponding area and volume.
The Pretty Perfume company, Goodsmell's competition, has also designed a new perfume bottle. The bottle is
to be a spherical shape with a diameter of 7cm. Determine the volume and surface area of this bottle.
The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. Given this
information, calculate the volume and surface area of the lid of the spherical shaped bottle.
Determine the dimensions of the smallest possible box which could be used to package Pretty Perfume's new bottle with its spherical bottle and conical-shaped
lid. However, this box is not shaped like a rectangular prism. Pretty Perfume would like to have unique packaging and have chosen to have a box shaped like a
pyramid. Calculate the volume and surface area of this pyramid-shaped box.
The Final Product:
Prepare a written report that includes:
1. A clear and concise explanation of the process that you used to solve the problem.
2. The calculations that you made, presented in an organized fashion.
3. A rationale (reason) for your selection of values.
Answer:
its to long for me
Step-by-step explanation:
in a polynomial expression, a term can be
Answer:
more than three terms it has to be
PLS HELP ME ASAP! Dont answer for points & no links for other sites or i will report you. I'm running out of points plss
y = 4x-9
y = x-3
Which method and why? Solve, shoving all work
Answer:
(2,-1)
Step-by-step explanation:
The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.
4x - 9 = x - 3 Subtract x from both sides.
4x-x - 9 = -3 Combine
3x -9 = - 3 Add 9 to both sides
3x - 9+9 = - 3+9
3x = 6 Divide by 3
3x/3 = 6/3
x = 2
===============
Now use the second equation to solve for y
y = x - 3
y = 2 - 3
y = -1
==============
The solution is (2,-1)
Convert the following polar-form vectors of the form ⟨r,θ⟩ into component-form vectors of the form ⟨x,y⟩. Your answers should be in the form "< #, # >". ⟨13,50∘⟩= ⟨1.77,250∘⟩= ⟨5.8,150∘⟩=
9514 1404 393
Answer:
a) <8.356, 9.959>
b) <-0.605, -1.663>
c) <-5.023, 2.9>
Step-by-step explanation:
Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)
If you want to do these calculations by hand, the conversion is ...
<r, θ> ⇒ <r·cos(θ), r·sin(θ)>
In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.
Please help Im stuck ty ...
Answer:
1500
Step-by-step explanation:
1/4t=500lbs so 500x3=1500
Dara has to solve 35 math problems for homework. She has completed 14 of them.what fraction of the problems does she have left to do?
Answer:
The correct answer is 3/5 :)
An item has a listed price of 60$ . If the sales tax rate is 9% , how much is the sales tax (in dollars)?
Answer:
$5.40
Step-by-step explanation:
multiply 60 by 0.09
please help me:(***********
Answer:
A:
Square
Rectangle
Parallelogram
Quadrilateral
Rhombus
Step-by-step explanation:
All sides and angles are equal so it is a square
All angles are 90 degrees so it is a rectangle (eliminate C)
Opposing angles and side lengths are congruent so it is a parallelogram (eliminate D)
It has 4 sides so it is a quadrilateral (eliminate B)
Since all of the other answers are eliminated you don't necessarily need to prove that is is a rhombus, but it is good practice.
Opposing sides are congruent so it is a rhombus.
Help me here please
Need answer asap, correct answer gets brainliest.
Answer:
caca water
Step-by-step explanation:
what's the answer? (Zearn)
Answer:
Step-by-step explanation:
Find the area of a regular 15-gon with radius 64 mm
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Step-by-step explanation:
Which of the following could be the first step in solving the equation below? 6^x=24
A. log. 6^x=24
B. 1/6•6^x=1/6•24
C. 6√6x=6√24
D. log 6^x=log 24
Answer:
D
Step-by-step explanation:
What’s the correct answer for this question?
Answer:
the solution is 25/7
I did 9x2=18+7
1) The Trends in International Mathematics and Science Study (TIMSS) in 2007 examined eighth-grade proficiency in math and science. The mean mathematics scale score for the sample of eighth-grade students in the United States was 508.5 with a standard error of 2.83. Construct a 95% confidence interval for the mean mathematics score for all eighth grade students in the United States.