Choose the function whose graph is given by
Answer:
D
Step-by-step explanation:
I plugged each equation into a graphing calculator and compared them to see which one matched the one in the picture.
The value of the trigonometric equation after transformation is given by the value y = 3 [ sin ( x + 3 ) ] - 2
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the parent function be represented as f ( x )
Now , the value of the trigonometric function f ( x ) is
f ( x ) = 3sin ( x )
when the function is translated 3 units to the left and 2 units down , we get
y = 3 [ sin ( x + 3 ) ] - 2
Therefore , the transformed function is y = 3 [ sin ( x + 3 ) ] - 2 and the graph is plotted
Hence , the transformed function is y = 3 [ sin ( x + 3 ) ] - 2
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In the cafeteria, a principal asked students what fraction of their plates contained vegetables. The line plot displays the students' responses. How many more plates of vegetables did the students who responded of a plate have than the students who responded of a plate? (look at picture)
Answer:
It should be A 3 1/4
Step-by-step explanation:
3a=12; a =
b+3.3=8.9; b =
1=14c; c =
512=d+14; d =
2e=6.4; e =
help? Please!
Answer:
a=4
Step-by-step explanation:
3a=12
a=12/3
a=4
b+3.3=8.9
b=8.9-3.3
b=5.6
1=14c
1/14=14c/14
1/14=c
512=d+14
512-14=d
498=d
2e=6.4
2e/2=6.4/2
e=3.2
4x > 20 Is x=12 a solution?
yes or no
no
Hope this helps
:T
:B
:D
From what we have, x can equal 12
4x > 20
20/4 = 5
x > 5
12 > 5
help me please !! Geometry
The temperature currently −4.574°F. A high-pressure front increases the temperature to 8.7°F. Let x represent the number of degrees the temperature increases. How many degrees did the temperature increase?
Answer:
Step-by-step explanation:
3) Sumalee's school is selling tickets to the annual dance competition. On the first day of ticket sales the school
sold 8 senior citizen tickets and 10 child tickets for a total of $162. The school took in $180 on the second
day by selling 10 senior citizen tickets and 10 child tickets. What is the price each of one senior citizen
ticket and one child ticket?
Answer:
$380
Step-by-step explanation:
add the money then add the other numbers
An expression is shown -5.75 + 6.5, what is the value of the expression
Answer:
0.75
Step-by-step explanation:
You are just combining like terms since there are no variables:
-5.75 + 6.5 is the same as,
6.5 - 5.75
= 0.75
Choose all the examples that can be measured using volume.?
the amount of cereal in a box
the amount of milk in a milk carton
the amount of space inside a van
the amount of writing space on a piece of paper
the amount of space a picture takes up on the wall
Answer:
the amount of cereal in a box
the amount of milk in a milk carton
the amount of space inside a van
Use the distance formula to find the distance between each pair of points round to the nearest 10th if necessary
Given:
The pairs of points are:
a. A(-6,-4), B(-3,-1)
b. C(3.5,1), D(-4,2.5)
c. X(5,-5), Y(-5,5)
To find:
The distance between the pair of points by using the distance formula.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
a.
Using the distance formula, the distance between the points A(-6,-4) and B(-3,-1) is:
[tex]AB=\sqrt{(-3-(-6))^2+((-1-(-4))^2}[/tex]
[tex]AB=\sqrt{(3)^2+(3)^2}[/tex]
[tex]AB=\sqrt{2(3)^2}[/tex]
[tex]AB=3\sqrt{2}[/tex]
[tex]AB\approx 4.2[/tex]
Therefore, the distance between the points A(-6,-4) and B(-3,-1) is about 4.2 units.
b.
Using the distance formula, the distance between the points C(3.5,1) and D(-4,2.5) is:
[tex]CD=\sqrt{(-4-3.5)^2+(2.5-1)^2}[/tex]
[tex]CD=\sqrt{(-7.5)^2+(1.5)^2}[/tex]
[tex]CD=\sqrt{56.25+2.25 }[/tex]
[tex]CD=\sqrt{58.5 }[/tex]
[tex]CD\approx 7.6[/tex]
Therefore, the distance between the points C(3.5,1) and D(-4,2.5) is about 7.6 units.
c.
Using the distance formula, the distance between the points X(5,-5) and Y(-5,5) is:
[tex]XY=\sqrt{(-5-5)^2+(5-(-5))^2}[/tex]
[tex]XY=\sqrt{(-10)^2+(10)^2}[/tex]
[tex]XY=\sqrt{100+100}[/tex]
[tex]XY=\sqrt{200}[/tex]
[tex]XY\approx 14.1[/tex]
Therefore, the distance between the points X(5,-5) and Y(-5,5) is about 14.1 units.
Pls helps I need help
What is the result of subtracting a number greater than -3 but less than -2 from a number greater than 1 and less than 6
Answer:
2/2 - 4 = -3
Step-by-step explanation:
I don't know really but, hopefully this helps. Are there any answer choices?
A person is designing a new rectangular garden. Its area must be 344 square feet. List the length and width, in feet, of all the possible gardens with this area. Use whole-number dimensions. Which garden has the least perimeter?
Answer:
(1 x 344) ft
(344 x 1) ft
(2 x 172) ft
(172 x 1) ft
(4 x 86) ft
(86 x 4) ft
(8 x 43) ft
(43 x 8) ft
the garden with the least perimeter is the garden with dimensions 8 x 43
Step-by-step explanation:
area of a rectangle = length x width
given the area, we can determine the dimensions of the rectangle by calculating the factors of 344. the factors are then multiplied to determine the area
factors of a number are numbers that divide the original number evenly. they are numbers that when used to divide another number, we derive only only numbers
Factors of 344 = 1, 2,2,2,43 and 344
Possible dimensions and their areas
1 x 344 = =344 ft²
2 x 172 = 344 ft²
4 x 86 = 344 ft²
8 x 43 = 344 ft²
Perimeter of a rectangle = 2 x (length + width)
i would use the dimensions i calculated to determine all the possible perimeters
2 x ( 1 + 344) = 690 ft
2 x (2 + 172) = 348 ft
2 x (4 + 86) = 180 ft
2 x (8 + 43) = 102 ft
the garden with the least perimeter is the garden with dimensions 8 x 43
5 points
If f(x) = 3 sin 2x + c, what is the maximum value
of f(x)?
A) c+5
B) c+2
C) c
D) c +3
A
B
Answer:
D
Step-by-step explanation:
The maximum value of sin is 1. The Ampltiude is 3 so the maximum value of sin is 3 now.
The vertical shift is c so whatever value of c would be add to the maximum value z 3
D is the answer.
Find the length of x.
write these numbers in order of size starting with the smallest number. 5 to the power of -1, 0.5, -5, 5 to the power of 0
Answer:
5^-1, 0.5, 5^0
Step-by-step explanation:
Convert all numbers so that they have the same format.
5^-1 = 0.2
5^0 = 1
Compare:
0.2 < 0.5 < 1
This would be the order of size starting with the smallest.
Make sure you use the numbers in the problem and not the ones that were simplified.
A scientist uses 8.5 grams of carbon every 30 minutes during an experiment. If the experiment lasted 2 hours, how many total kilograms of carbon did they use?
Answer:
34
Step-by-step explanation:
The price of an item has been reduced by 60%. The original price was $45. What is the price of the item now?
Answer:
$27
Step-by-step explanation:
I need help! Answer this please! I will give brainliest!! ASAP
Answer:
it's 9 or 21
Step-by-step explanation:
Help me with this thanks
ose baked 36 cookies. He wants to share them equally among 16 people. How many cookies will each person get?
Draw a line segment to connect the two whole numbers that the answer lies between.
Help please :):))))))))))))))
Answer: the 2nd box
Step-by-step explanation:
a.( 18:32)
b.(6:36)
c.(9:21)
convert the following ratio to fraction in it's lowest from
Answer:
Step-by-step explanation:
18 in every 32 (people or whatever it is) 18/32 then simplify i believe
Nalani says the expression 9+7r cannot be factored using the GCF. Is she correct? Explain why or why not
Answer:
Nalani is correct.
Step-by-step explanation:
Given - Nalani says the expression 9+7r cannot be factored using the GCF.
To find - Is she correct? Explain why or why not.
Proof -
GCF - Greater Common factor
Given that, the expression is - 9 + 7r
As
HCF(9, 7) = 1
So , we can not factor the expression.
i.e. there does not exist any number who is a multiple of 9 and 7 both.
So,
Nalani is correct.
Example -
Let the expression be 24 + 18x
HCF(24, 18) = 6
So,
24 + 18x = 6(4 + 3x)
My Classes
illi
MULTIPLE CHOICE QUESTION
What is the probability of rolling a 5 on a
die and tossing a coin and getting a
heads?
Answer:
1/12
Step-by-step explanation:
would -60 be the opposite of 60?
Answer:
yes,please mark me brainlest
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
A negative number is the opposite of it's positive.
how to make percent to decimal?
ex. 76% = #/#
Answer:
divied by 100 and remove the "%" sign.
Step-by-step explanation:
1.)example 10% becomes 10/100=0.10
2.) example 67.5% becomes 67.5/100=0.675
1.
The distance from the Sun to Mercury is 3.598. 10^7
miles. The distance from the Sun to Neptune is
2.798. 10^9 miles. How far is Mercury from Neptune?
Write your answer in scientific notation.
Answer:
Exponente positivo
Potencias de 10
Escribe estos números en forma ordinaria:
7'3·103; 4'724·108; 8'24·105
Notación científica. Orden de magnitud. Comparaciones
Expresa en notación científica las siguientes cantidades e indica su orden de magnitud.
235'74; 1985; 12 billones; 320 millones; 37.800.000.000; 220.000.
La desaparición de los dinosaurios ocurrió hace 65 millones de años, aproximadamente 108 años. Por ello hemos situado la D debajo de la potencia correspondiente:
El nacimiento del Universo (U) ocurrió hace 15 mil millones de años . Sitúa U en la casilla que le corresponde. Haz lo mismo con:
El califato cordobés de Abderramán (A): aproximadamente 800 años.
El control, del fuego (F): hace 600.000 años.
Aparición del hombre de Cromagnon (C): 30.000 años.
El nacimiento de la Tierra: (T): 4.5 mil millones de años.
El primer paso del hombre en la Luna (L): hace una veintena de años.
El primer paso del hombre en la Tierra (H): tres millones de años
La invención de la imprenta por Gutenberg (G): hace 550 años.
La nebulosa "Triangulum" está a 1'4·1022 metros de la Tierra. Escribe esta distancia en forma ordinaria.
Step-by-step explanation:
A triangle has angles measuring 18.3° and 102.5°. What is the measure of the third angle?
Answer:
59.2
Step-by-step explanation:
A triangle equals a total of 180
102.5 + 18.3 = 120.5
180 - 120.5
= 59.2
The exact circumference of a circle is 34π meters. What is the approximate area of the circle? Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer:
A = 907.46 [tex]m^{2}[/tex]
Step-by-step explanation:
C = πd
34π = πd
d = 34
r = 17
A = [tex]\pi r^{2}[/tex] = 3.14([tex]17^{2}[/tex]) = 3.14(289) = 907.46 [tex]m^{2}[/tex]