Graph g is a translation of the graph of y= sin x (dashed line).a) write down the equation of g b) write down the coordinates of the point p
Answers
Answer:
a) [tex]G(x)= \sin x + 2[/tex]
b) The coordinates of P are
[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]
Step-by-step explanation:
Translation
The dashed line shows the graph of the function
[tex]y = \sin x[/tex]
This function has a maximum value of 1, a minimum value of -1, and a center value of 0.
a)
Graph G shows the same function but translated by 2 units up, thus the equation of G is:
[tex]\boxed{G(x)= \sin x + 2}[/tex]
b) The coordinates of P correspond to the value of
[tex]x = \frac{3\pi}{2}[/tex]
The value of G is
[tex]\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2[/tex]
Since
[tex]\sin \frac{3\pi}{2}=-1[/tex]
[tex]\displaystyle G(\frac{3\pi}{2})= -1+ 2=1[/tex]
The coordinates of P are
[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]
Related Questions
3. Two quantities, x and y, are in a
relationship in which y varies directly
with x. If x is 3.6 when yis 5.4, write an
equation that represents this situation?
Please help, I need an answer ASAP.
Answers
Answer:
y = x + 1.8
Step-by-step explanation:
Line q passes through the points (4, 6) and (0, 6). What is the equation for the line which is perpendicular to q and passes through the point (–2, 3)?
Answers
Answer:
x = -2Step-by-step explanation:
The slope of q:
[tex]m_q=\dfrac{6-6}{4-6}=0[/tex]
It means the line q is parallel to X-axis. Therefore any line perpendicular to q is parallel to Y-axis.
Any line parallel to Y-axis is: x = x₀, where x₀ is the x-coordinate of any point the line passing through.
(-2, 3) ⇒ x₀ = -2
12 chickens lay 30 eggs eggs. What is the unit rate in eggs per chicken?
Answers
Step-by-step explanation:
The unit rate would be how many eggs one chicken lays
To do this, you would create a ratio
30:12 = x:1
30 = 12x cross multiply
30/12 = 12x/12 isolate the variable
2.5 = x
The unit rate is 2.5:1 or [tex]\frac{5}{2}[/tex] :1
I hope this helps!!!
Given the number line and the expression shown below, select the expression that is equivalent to it.
Answers
Answer:
I need to see the number line...
Step-by-step explanation:
I’m sorry, but I need to see the number line, or I need you to describe what it looks like.
Thanks-
Sharon watched 1/2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1/3 of the movie left to watch. How much of the movie did Sharon watch at night?
Answers
Answer:
Movie she watch at night = 1/6 Part
Step-by-step explanation:
Given:
Watched movie in morning = 1/2
Movie Left to watch = 1/3
Find:
Movie she watch at night
Computation:
Movie she watch at night = 1 - Watched movie in morning - Movie Left to watch
Movie she watch at night = 1 - 1/2 - 1/3
By taking L.C.M
Movie she watch at night = (6-3-2) / 6
Movie she watch at night = 1/6 Part
Can you guys help me out please
Answers
and the work is:
540 = 6x-6+4x-10+5x-11+5x+13+4x+2
combine like terms:
540 = 24x-12
23=x
then plug 23 in for x to get angle p:
4*23+2
92+2
94
How many 2/5 ounce servings are in 3 4/7 ounces?
Answers
28.6-9.84
I need help
Answers
Answer:
18.76
Step-by-step explanation:
28.6 - 9.84 = 18.76
Can someone help ????
Answers
Answer:
The scale factor of the dilation is 2
Step-by-step explanation:
KLMN ~ STUV
[tex]\frac{ST}{KL} = \frac{TU}{LM} =\frac{UV}{MN} =\frac{VS}{NK} =\frac{12}{6} = 2[/tex]
The scale factor of the dilation is 2
jacorey works at an animal shelter. He is responsible for 96 dogs and cats today. The number of dogs is six more than twice the number of cats. how many dogs are at the shelter today?
Answers
X=2y+6
X+y=96
Put 2y+6 in for x (the second equation)
2y+6+y=96
Combine like terms and simplify
3y=90
Y=30
Use the second equation to find x changing y into a number
X+30=96
X=66
The number of dogs is 66
If I’m right, can you mark me brainliest please?
Which expression is equivalent to -5a + a -7a
Answers
Answer:
-11a
Step-by-step explanation:
To get the answer, you must combine these terms because they are like terms. -5a+a = -4a, and -4a-7a = -11a. Therefore, the answer is -11a.
The measured length is 3cm. The actual length is 3.4
cm. Find the percent error
Answers
Answer:
I think it is 100
Step-by-step explanation:
Write the quadratic equation in standard form please.
-x^2+7-6x=2
Answers
Answer:
Step-by-step explanation:
-x^2 - 6x + 5=0
Please help!! I’ll mark brainliest!
Answers
Answer:
Just from looking at the picture, I'm assuming that we're trying to find the terms that are like to the terms in the blue section.
1. 8c since both are in terms of c
2. 7t since both are in terms of t
3. 8r since both are in terms of r
4. -4n since both are in terms of n
5. xy since both are in terms of xy
6. 16 since both don't have any variables
7. 4sp since both are in terms of sp
Step-by-step explanation:
Answer:
8r and -2r
xy and 6xy
8c and 19c
16 and 97
4sp and sp
7t and 13t
-4n and 10n
Step-by-step explanation:
Jaclyn is training for a long bike ride. Right now, her longest ride is miles. She plans to add miles each week to her longest ride. Use a linear equation to determine the length of Jaclyn's longest ride after weeks. Do not include units in your answer.
Answers
Values in the question are missing ; we could get some input for the missing values and solve the question asked :
Jaclyn is training for a long bike ride. Right now, her longest ride is 36 miles. She plans to add 2 miles each week to her longest ride. Use a linear equation to determine the length of Jaclyn's longest ride after 6 weeks. Do not include units in your answer.
Answer:
48 miles
Step-by-step explanation:
Given that:
Longest ride (initial) = 36 miles
Additional miles per week = 2 miles
y(x) = mx + c
c = initial ride ; m = rate (increase in miles per week) ; x = number of miles per week
Longest ride after 6 weeks will be :
[Longest ride (initial) + additional miles per week * number of weeks]
Longest ride after 6 weeks :
36 miles + (2 * 6)
36 + 12
48 miles after 6 weeks
PLEASE HELP ME ASAP PLEASE
Carol and Diane are axe throwers. Carol hits the board on 44% of her throws, while Diane hits the board on 42% of her throws. Suppose that Carol throws 25 axes at the board and Diane throws 28. Let C = the proportion of axes that hit the board when Carol throws and D = the proportion of axes that hit the board when Diane throws. What is the probability that Diane’s proportion of axes hitting the board is higher than Carol’s?
0.442
0.456
0.491
0.558
Answers
Answer:
0.442
Step-by-step explanation:
took the quiz
W
Write an expression for "8 times x."
Answers
Answer:
8 X x (Bigger X stands for multiplication)
Step-by-step explanation:
8x-y or you can do it another way is fine
2) Bob's stock gained $3.47
Monday, lost $2 Tuesday, gained
$0.32 Wednesday, lost $4.21
Thursday, and gained $0.35 Friday.
What was the change in the stock
prices this week?
I
Answers
Answer:
-2.07
Step-by-step explanation:
3.47-2+0.32-4.21+0.35
Please help I will vote brainliest for the correct answer!!!!!!!!!!!!!
Answers
Answer:
It is increasing before x = -2 and from x = 0 to x =2
Step-by-step explanation:
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: Step-by-step explanation:
1. D, last one.
4. C, third one.
2. C, third one.
3. B, second one.
Answer:
c
Step-by-step explanation:
just look at it agai djehbrme and I don't know how many to ft going in take be from my b to I what order of the red sexlink for the you program to and next level of the red sexlink chickens and of barred rock chickens and of the axis that have to go through a lot of different ways of life and I have emailed my parents and they got me in the goat of a job that was a great fit and was very helpful and was very good for me and I am very thankful to be able and am not seen in a way with my life in my mind and my heart that ❤ my heart ❤ ♥ is the axis thatPlease help ????????????????
Answers
Answer:
A) 5x - 2
Step-by-step explanation:
To solve for the perimeter, you must add the two shown equations of a rectangle. You should get 5x - 2 as your answer.
1. What is the smallest decimal in hundredths rounded to 0.5?
Answers
Answer: 0.45!
Step-by-step explanation:
The smallest decimal in hundredths rounded to 0.5 is 0.45 and this can be determined by using the rules of rounding off to the nearest hundredths.
Given :
Number - 0.5
Rules for rounding off to the nearest hundredths are:
Rule 1 - When a number is rounded off to the nearest hundred remember that the digit at tens place is in between 0 to 4 then replace that digit by 0.
Rule 2 - When a number is rounded off to the nearest hundred remember that the digit at units place is greater than or equal to 5 then replaced tens place digit by 0 and hundreds place digit is increased by 1.
So, according to the rules, the smallest decimal in hundredths rounded to 0.5 is 0.45.
For more information, refer to the link given below:
https://brainly.com/question/544948
The suns diameter if 10 times the diameter of jupiter. If jupiter is 11 times larger than earth, how much larger than earth is the sun
Answers
Given:
The suns diameter is 10 times the diameter of Jupiter.
Jupiter is 11 times larger than earth.
To find:
How much larger than earth is the sun?
Solution:
Let the diameter of earth be x.
Jupiter is 11 times larger than earth. So,
Diameter of the Jupiter = 11x
The suns diameter is 10 times the diameter of Jupiter. So,
Diameter of sun = 10(11x)
Diameter of sun = 110x
Since, diameter of earth is x and diameter of sun is 110x, therefore, diameter of sun is 110 times of the earth.
Hence, the sun is 110 times larger than earth.
The diameter of the sun is 110 times greater than the diameter of the earth.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The sun's diameter is 10 times the diameter of Jupiter. If Jupiter is 11 times larger than earth.
Let the diameter of the Sun, Jupiter, and Earth be S, J, and E respectively
Then we have
S = 10J ...1
J = 11 E ...2
From equations 1 and 2, we have
S = 10 × 11 E
S = 110 E
More about the linear system link is given below.
https://brainly.com/question/20379472
Anyone know??? ???????
Answers
Answer:
y = -4x - 66
Step-by-step explanation:
Express the ratio as a fraction in simplest form.
Answers
Answer:
c 2/3
Step-by-step explanation:
divide both numerator and denominator by 7
(the stake is 14ft)
Help with this please. I’d appreciate if you showed the steps and the answer. Thanks!
Answers
Answer:
it‘s about
32.08 ft (if its not an answer choice try 32 or anywhere near that number)
Step-by-step explanation:
SO this is a simple example of triangles
We would need to find the heigh of the flagpole which is the leg of the triangle
The other side (14ft) is the 2nd leg of the triangle
And we know the hypotenuse is 35 ft
So we put that in Pythagorean Theroux and solve for the first missing leg
a^2+14^2=35^2
a^2+196=1225
a^2=1029
√1029 is about 32.08
So its about 32.08
Pleaseee helpppp meeeeeee
Answers
Answer:
measure of Arc FJ is 80 degrees.
Step-by-step explanation:
Key skills: High School Geometry, One Variable Equations, Angles
1)Let's look at the diagram thoroughly
2) The 2 thing we can get are:
Angle HKG and Angle IKJ are vertical angles (which means they are congruent). Angle HKG + Angle GKF + Angle FKJ = 180 (Since they all form a straight angle - A straight angle is 180 degrees in measure.)3) First we can use the fact that Angle HKG and Angle IKJ are vertical angles. This makes them congruent (Or equal in size)
We can then solve for x by making the equation: 3x-22=x+104) Solve this by moving the x's to one side, and the numbers to the other. You would then get: 3x-x=10+22
3x-x= 2x 10+22=32
2x=32
Divide by 2 on both sides and x=16.
5) We get that x=16. Now to find the measure of Arc FJ, we need to use the fact that Angle HKG + Angle GKF + Angle FKJ = 180
What we want to find is Angle FKJ. The measure of Angle FKJ would be the measure of Arc FJ
6) We can make an equation: x+10+74+Angle FKJ=180
Solve this --> x=16, so substitute it in16 + 10 + 74 + Angle FKJ=180100 + Angle FKJ = 180Angle FKJ = 80 degreesIf Angle FKJ is 80 degrees, then Arc FJ measures 80 degrees.
Hope you understood! Have a Nice Day! :D
Evaluate the following function f(x) =-12x-23 at x=9*
Answers
Answer:
f(9) = -131
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -12x - 23
x = 9
Step 2: Evaluate
Substitute: f(9) = -12(9) - 23Multiply: f(9) = -108 - 23Subtract: f(9) = -131A drone has an effective range represented by a circle on a coordinate plane. The points (–12, 3) and (–6, –5) are endpoints of a diameter of this boundary. Which equation represents the effective range boundary for the drone?
(x + 96)^2 + (y + 1)^2 = 25
(x – 9)^2 + (y – 1)^2 = 25
(x + 9)^2 + (y + 1)^2 = 100
(x – 9)^2 + (y – 1)^2 = 100
Answers
Answer:
(x+9)^2 + (y+1)^2 = 100
Step-by-step explanation:
Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.
The center is the midpoint of the two endpoints on a diameter.
Here, it is (-9, -1).
Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.
The radius: sqrt(8^2 + 6^2) = 10
So the equation is (x+9)^2 + (y+1)^2 = 100
Answer:
A) (x + 9)^2 + (y + 1)^2 = 25
Step-by-step explanation:
edge 2023
Yeah I need some help, I'm kinda confused on this entire test.
Answers
Answer:
Answer would be D
Step-by-step explanation: