Answers
Answer:
The graph that matches the equation y = 2sin(x – π) + 2 is D
Step-by-step explanation:
To determine which graph matches the given equation y = 2sin(x – π) + 2. We will determine the values of y for range of values of x from -2π to 5π.
When x = -2π
From
y = 2sin(x – π) + 2
Then
y = 2sin(-2π – π) + 2
y = 2sin(-3π) + 2
(NOTE: π = 180°)
∴ y = 2sin(-540) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = -π
Then
y = 2sin(-π – π) + 2
y = 2sin(-2π) + 2
y = 2sin(-360) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = 0
Then
y = 2sin(0 – π) + 2
y = 2sin(-π) + 2
y = 2sin(-180) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = π
Then
y = 2sin( π– π) + 2
y = 2sin(0) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = 2π
y = 2sin(2π – π) + 2
y = 2sin(π) + 2
y = 2sin(180) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = 3π
y = 2sin(3π – π) + 2
y = 2sin(2π) + 2
y = 2sin(360) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = 4π
y = 2sin(4π – π) + 2
y = 2sin(3π) + 2
y = 2sin(540) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = 5π
y = 2sin(5π – π) + 2
y = 2sin(4π) + 2
y = 2sin(720) + 2
y = 2(0) +2
y = 0 + 2
y =2
The only graph that corresponds to the tested values of x is the last graph (D)
Hence, the graph that matches the equation y = 2sin(x – π) + 2 is D.
The graph of the given equation is given by option D) and this can be determined by using the rules of transformation.
Given :
Equation -- [tex]y = 2\sin(x-\pi)+2[/tex]
The following steps can be used in order to determine the graph that represents the given equation:
Step 1 - Write the given equation.
[tex]y = 2\sin(x-\pi)+2[/tex]
Step 2 - Now, draw the graph of (sin x) and then translate it by a factor of [tex]\pi[/tex] in the right direction. So, the graph obtained is the graph of [tex]\sin(x-\pi)[/tex].
Step 3 - Now, stretch the graph of [tex]\sin(x-\pi)[/tex] by a factor of 2. So, the graph obtained is the graph of [tex]2\sin(x-\pi)[/tex].
Step 4 - Now, translate the graph of [tex]2\sin(x-\pi)[/tex] by a factor of 2 in the upward direction. So, the graph obtained is the graph of [tex]2\sin(x-\pi)+2[/tex].
Therefore, the correct option is D).
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Related Questions
Which of the following numbers is a factor of 55?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
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(Choice B)
B
3
(Choice C)
C
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(Choice D)
D
7
Answers
Answer:
Choice C: 5
Step-by-step explanation:
55 is a composite number. 55 = 1 x 55 or 5 x 11. Factors of 55: 1, 5, 11, 55. Prime factorization: 55 = 5 x 11 it should be 5 if 11 isn't an option to
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Step-by-step explanation:
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Step-by-step explanation:
A wire is bent to form semi circles as shown below. How long is the wire? Use 3.14 for pi and round your answer to the nearest hundredth if necessary
4 semi circles and the diameter is 41
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======================================================
Explanation
Those 4 semicircles can be joined to form 4/2 = 2 full circles.
Each circle has diameter 41 cm.
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Checking Your Understanding
Quick
Check
There are 6 boys and 12 girls on a soccer team.
This ratio correctly describes the relationship between boys and girls on the soccer team
Answers
(6 boys, 12 girls)
Answer:
There are 6 boys and 12 girls on a soccer team.
This ratio correctly describes the relationship between boys and girls on the soccer team:
✔ For every 6 boys, there are 12 girls.
Step-by-step explanation:
Plz mark me as Brainlist
The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its solution that can be used to determine the cost,x, of 1 doughnut.
Answers
The equation for the situation is [tex]5x+6(0.95)=11.95[/tex]
The solution to the equation is [tex]x=1.25[/tex]
First, you must set up the equation.
[tex]5x+6(0.95)=11.95[/tex]
Then, you must simplify the terms.
[tex]5x+5.7=11.95[/tex]
Next, subtract 5.7 on both sides.
[tex]5x=6.25[/tex]
Finally, divide 5 on both sides
[tex]x=1.25[/tex]
The cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.
The cost of 1 doughnut is x.
Total cost = $11.95
Total cost = 5(0.95) + 6x
11.95 = 5(0.95) + 6x
Or
5(0.95) + 6x = 11.95
After solving
x = $1.2
Thus, the cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
The options are:
6(0.95) + 5x = 11.95
5(0.95) - 6x = 11.95
5(0.95) + 6x = 11.95
5(0.95) + 6(11.95) = x
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Answer:
-144ft below sea level
Step-by-step explanation:
It is a linear equation. Written as y=14x-270. So what you do is substitute x for 9,
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y=126-270
y=-144
Answer:
I think the answer is A. The submarine was 144 feet below sea level(-144) after 9 minutes.
Step-by-step explanation:
This is how i got me answer:
z=9
14 x 9 = 126
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You spend $40 on $5 pounds of concrete.what is the unit rate in dollars per pound
Answers
Answer:
$8/pound
Step-by-step explanation:
$40 ÷ 5 lbs = 8$ per pound
Step by step explanation =
40 divided by 5 = 8
Ella completed the following work to test the equivalence of two expressions.
What conclusion can you draw from Ella’s work?
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Answer:D
Step-by-step explanation:
which repersents the slope of a line that is parallel to a line with the slope of -2
Answers
Answer:
-2
Step-by-step explanation:
slope is -2 because parallel lines have equal slopes.
PLEASE HELP, trying to do this escape room level and i have no clue what to do.
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Answer:
6688
Step-by-step explanation:
I think, I hope!
The correct sequence for the numbers that are given will be:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
1 to 4
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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d
Step-by-step explanation:
Answer:
A. 5^3
Step-by-step explanation:
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a) The card states that it makes 60 cookies. How much flour is required for 30 people?
b) The card states that it makes 60 cookies. How much salt is required for 30 people?
Answers
Answer:
assuming each person gets one cookie
a 1 1/4 C
b 3/8 tsp
Step-by-step explanation:
divide recipe in half
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laun
/2528021/aHROCHM6Ly9mMS5hcHAUZWRIZW50dW0uY29tL2xlYXJUZXI
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Mathematics Diagnostic Assessment
1
Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the
probability that he will guess the first number correctly and the second number incorrectly?
OA.
OB.
O C.
கான்
OD.
Reset
Submit
Submit
Answers
Answer: 16.67% for question 1
83.33% for question 2
Step-by-step explanation:
1/6 as a percent is 16.67% because the is only 1 correct number
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Step-by-step explanation: 1/36
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Answer:
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Answers
The number of rate eaten by dog after 200 minutes: 2 pounds
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Contrarily, the proportion equation declares that two ratios are equivalent. We can utilise proportion to solve problems with unknown amounts if we have two ratios that are equivalent.
We can use proportion to solve this problem:
If a dog eats 0.5 pound of food every 50 minutes, then in 1 minute, the dog will eat 0.5/50 = 0.01 pound of food.
Therefore, in 200 minutes, the dog will eat 0.01 x 200 = 2 pounds of food.
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Answers
Answer: y = 3x-1
Step-by-step explanation:
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Answers
Answer:
(4y - 3)2 = 72?y3 +/Z and yy=3-6/243+62y=and y=-3 – 6/2440y=9/… ... 12 POINTS!! 2. (2, 0) and (0, 3) The equation for these ordered pairs is ...
1 answer
Step-by-step explanation:
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Step-by-step explanation:
[tex](x { }^{2} - {y}^{2} ) {}^{2} = ( {x}^{2} + y {}^{2} ) {}^{2} - 4x {}^{2} y {}^{2} [/tex]
2(x+9)-4=68 pls help me 60 points!!!!
Answers
Answer:
x=27
Step-by-step explanation:
2x+18-4=68
2x+18=72
2x=54
x=27
I hope this helps even the slightest!
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A store sells a package of 25 trading cards for $5.25. Use pencil and paper. Explain how you can tell that the unit price per card is less than $1. What is the unit price per card? PLEASE HELP ME ILL GIVE YOU BRAINLIEST
Answers
Answer:
5.25/25=0.21
Step-by-step explanation:
to find this you can do 0.21 times 25 which gets 5.25 so there is your answer
5.25/25=0.21 is the unit price per card.
What is division?Division is the process of splitting a number or an amount into equal parts.
Here, given that,
A store sells a package of 25 trading cards for $5.25.
So, price of per card = 5.25/25
=0.21
(to find this you can do 0.21 times 25 which gets 5.25 )
Hence, 0.21 is the unit price per card.
To learn more on division click:
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Help view the picture find the value of p
Answers
Answer:
the answer of the problem p=32
Write the ratio 2/7 over 3/7 in simplest form. Help Please!!! Need answer ASAP
Answers
============================================
Work Shown:
[tex]\frac{2}{7} \div \frac{3}{7}\\\\\\\frac{2}{7} \times \frac{7}{3}\\\\\\\frac{2*7}{7*3}\\\\\\\frac{2}{3}\\\\\\[/tex]
When dividing fractions, you flip the second fraction and multiply (step 2).
Note in the last step, the 7's cancel out.
Answer:
2÷3
Step-by-step explanation:
=2÷7×3÷7
= 7 of the denominator will be cancelled
=hence, 2÷3 is the answer