Answers
By evaluating in x = π/3, we conclude that the correct option is C.
Which is the graphed function?
By looking at the graph, we can see that the function becomes zero when:
x = π/3
Now, this is really trivial.
Just evaluate the four options in x = π/3, and see which ones become equal to zero, and discard the others.
By doing that, you will see that the only option that becomes zero when evaluated in x = π/3 is option C.
[tex]y = 3*sin(2(x - \frac{\pi}{3} ))[/tex]
Then we conclude that it is the only option that can be the correct one.
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Related Questions
NO LINKS!!! Part 1:
What is the Transformation of f(x)= x^3:
THIS IS NOT MULTIPLE CHOICE!!!!
1. f(x)= 1/5x^3
2. f(x)= (x-5)^3
3. f(x)= x^3 + 5
Answers
Answer:
1. Vertical shrink by a factor of ¹/₅
2. Right 5
3. Up 5
Step-by-step explanation:
Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.
Transformations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]
Identify the transformations that take the parent function to the given function.
Question 1
[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]
[tex]\textsf{Given function}: \quad f(x)=\dfrac{1}{5}x^3[/tex]
Comparing the parent function with the given function, we can see that the parent function has been multiplied by ¹/₅.
Therefore, the transformation is:
[tex]y=\dfrac{1}{5}\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:\dfrac{1}{5}[/tex]
As 0 < a < 1, the transformation visually is a compression in the y-direction, so we can also say: Vertical shrink by a factor of ¹/₅
Question 2
[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]
[tex]\textsf{Given function}: \quad f(x)=(x-5)^3[/tex]
Comparing the parent function with the given function, we can see that 5 has been subtracted from the x-value of the parent function.
Therefore, the transformation is:
[tex]f(x-5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units right}[/tex]
Question 3
[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]
[tex]\textsf{Given function}: \quad f(x)=x^3+5[/tex]
Comparing the parent function with the given function, we can see that 5 has been added to the parent function.
Therefore, the transformation is:
[tex]f(x)+5 \implies f(x) \: \textsf{translated}\:5\:\textsf{units up}[/tex]
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Answer:
1) Vertical shrink by a factor of 1/5
2) Right 5
3) Up 5
Explanation:
Given main function: f(x) = x³
1.) f(x) = 1/5 (x³)
Comparing with a(f(x)) which gives vertical stretch or compression.
Here the function f(x) has been shrinked vertically by a factor of 1/5
2.) f(x) = (x - 5)³
Comparing with f(x - c) which gives horizontal translation c units right.
Here the function f(x) has been shifted 5 units to the right.
3.) f(x)= x³ + 5
Comparing it with f(x) + d which gives vertical translation d units up.
Here the function f(x) has been moved 5 units up.
Which is the following descibes a median of a triangle
Answers
According to the internet it states, The median of a triangle is a line segment joining the vertex of the triangle to the mid-point of its opposite side.
It bisects the opposite side, dividing it into two equal parts.
The median of a triangle further divides the triangle into two triangles having the same area
If 24 women can dig a field in 14 days, how long will 16 women take to dig the same field?
Answers
Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts.
He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixture.
On day 1, he mixes 4 cans of blue and 6 cans of yellow.
On day 2, he mixes 6 cans of blue and 9 cans of yellow.
Fill in the blanks to find the highest number of cans of each color Marc can mix to make the same shade of green on day 3.
Answers
Answer:
mark on day three can use up to 4 cans of blue paint and 5 cans of yellow paint
Step-by-step explanation:
given--started with 14 cans of blue paint
given--started with 20 cans of yellow paint
given--used 10 cans of blue paint and 15 cans of yellow paint in total
by subtracting the blue paint he used with the amount he started with you get an answer of 4 blue paint cans--- vice verse--20 yellow paint cans minus 15 yellow paint cans equal 5 yellow paint cans.
What's the least common denominator of 34, 45, and 237
O A. 20
OB. 12
O C. 15
O D. 60
Answers
Answer:
120870
Step-by-step explanation:
Your answer choices are not correct. The least common denominator of 34, 45, and 237 would be 120870.
LCD(1/34, 1/45, 1/237) = LCM(34, 45, 237) = 2×32×5×17×79 = 120870
1/34= 3555/120870
1/45= 2686/120870
1/237= 510/120870
HOPE THIS HELPS!!
Factoring Inequalities,
Please help as I do not know how to progress after this.
Answers
The factored inequality is [tex]x^2-3x+6\geq 0[/tex]
Factoring InequalitiesThe given inequality is:
[tex]-x^2+3x-6\leq 0[/tex]
This can be further simplified as:
[tex]-(x^2-3x+6)\leq 0[/tex]
The inequality can be re-written as:
[tex]x^2-3x+6\geq 0[/tex]
Since the question does not state that we should solve the inequality, the simplest we can get after factoring is [tex]x^2-3x+6\geq 0[/tex]
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Whats the correct answer answer asap for brainlist
Answers
Answer:
Russia is so vast that it has eleven time zones.
Explanation:
"Russia has 11 time zones across its vast territory - and its leaders believe that's just too many hours in the day." - NBC News
The sum of three consecutive even integers is –78. What are the integers? Describe how you would use the strategy of writing an equation to solve the given problem. Which of the following did you include in your description? Check all of the boxes that apply. Let x = the smallest even integer, x + 2 = the next even integer, and x + 4 = the largest even integer. Write the equation x + x + 2 + x + 4 = –78. Simplify the equation as 3x + 6 = –78. Solve the equation by subtracting 6 and dividing by 3 on both sides of the equation. Check that the sum of the integers –28, –26, and –24 is –78.
Answers
Answer:
456_487= 57,548 that it try it and lete know
1. For the month of July, calculate the following:
a. Budgeted sales
b. Budgeted merchandise purchases
c. Budgeted cost of goods sold
d. Budgeted net operating income
2. Prepare a budgeted balance sheet as of July 31.
Answers
Answer:
you can use the spreadsheet
In the equation above k is a constant if y = 2 when x= 5 what is the value of x when y= 5
Answers
The value f x when y= 5 is 2
VariationsLet the given equation be y = k/x
where k is the constant
if y = 2 when x= 5, then;
k = xy
k= 2(5)
k = 10
In order to determine the value of x when y = 5
x = k/y
x = 10/5
x = 2
Hence the value f x when y= 5 is 2
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What combination of transformations is shown below?
2
3
reflection, then translation
translation, then reflection
reflection, then rotation
translation, then rotation
1
Answers
the sequence is:
Translation, then reflection.
The correct option is the second one.
What combination of transformations is shown?
We start with figure 1.
In the image, we can see that the image is shifted 4 units up and 4 units left to make figure 2.
Then you can see that the image is reflected across a horizontal line to make figure 3, you can see that because now the "L" is facing upwards.
Then the sequence is:
Translation, then reflection.
The correct option is the second one.
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Find the maximum and minimum values of the function g(θ) 5θ-9sin(θ) on the interval [0, π] Minimum value =
Maximum value =
Answers
Answer:
max=50
min=41
Step-by-step explanation:
graph
On a coordinate plane, parallelogram A B C D is shown. Point A is at (negative 3, negative 1), point B is at (7, 9), point C is at (8, negative 1), and point D is at (negative 2, negative 11). Create a rectangle around the parallelogram. The dimensions of this rectangle are ✔ 11 by 20 . Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is square units. Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is square units.
Answers
The coordinates plane is illustrated below.
How to illustrate the information?A coordinate plane simply means the graphing system for points and lines.
Based on the information given, the area of teb triangle will be:
= 1/2 × b × h
= 1/2 × 11 × 20
= 110
Other information are attached.
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In a graphing program, graph the following 4 functions in the same coordinate plane.
y=1x
y=5x
y=14x
y=-2x
How does a change the exponential graph? (Hint – see choices from k section)
a. When a is large (graph b):
b. When a is small (graph c):
c. When a is negative (graph d):
Answers
See below for the changes when the exponential function is transformed
How to determine the effect of aThe exponential functions are given as:
[tex]y = \sqrt x[/tex]
[tex]y = 5\sqrt x[/tex]
[tex]y = 14\sqrt{x[/tex]
[tex]y = -2\sqrt{x[/tex]
An exponential function of the above form is represented as:
[tex]y = a\sqrt{x[/tex]
See attachment for the graph of the four functions.
When a is large
This is represented by [tex]y = 14\sqrt{x[/tex]
In this case, the curve of the base form [tex]y = \sqrt x[/tex] is vertically stretched and it moves closer to the y-axis
When a is small
This is represented by [tex]y = 5\sqrt x[/tex]
In this case, the curve of the base form [tex]y = \sqrt x[/tex] is vertically stretched and it moves away from the x-axis
When a is negative
This is represented by [tex]y = -2\sqrt{x[/tex]
In this case, the curve of the base form [tex]y = \sqrt x[/tex] is vertically stretched and is reflected across the y-axis.
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Golf Clubs R Us had a set of 10 golf clubs that were marked on sale for $720. This was a discount of 15% off the original selling price.
Answers
The original selling price is $847.10
How to determine the original selling price?The given parameters are:
Discount price = $720
Discount = 15%
The original selling price is calculated as:
Discount price = Original selling price * (1 - Discount)
This gives
720 = Original selling price * (1 - 15%)
Evaluate the difference
720 = Original selling price * 0.85
Divide by 0.85
Original selling price = 847.10
Hence, the original selling price is $847.10
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What is the value of k in the product of powers below?
10^3 x 10 x 10^k = 10^-3= 1/10^-3
-3
-1
0
1
Answers
Answer:
it's-3
Step-by-step explanation:
please mark me as brainlist
A triangle has points dallas, destination 1, and destination 2. the distance from dallas to destination 1 is 720 miles, and the distance from destination 1 to destination 2 is 290 miles. the angle formed between dallas, destination 1, and destination 2 is 125 degrees. a pilot flies 720 miles from dallas, texas, to his first destination. after dropping off his cargo, he flies southeast 290 miles to his second destination. if the angle formed by his trip is 125°, what is the distance he will fly from the second destination back to dallas? 490 miles 918 miles 1,010 miles 842,026 miles
Answers
The distance from the second destination back to Dallas is 918 miles
GivenA triangle has points Dallas, destination 1, and destination 2.
The distance from Dallas to destination 1 is 720 miles
The distance from destination 1 and destination 2 is 290 miles
the angle formed between Dallas, destination 1, and destination 2 is 125 degrees.
He moves from destination 1 to Dallas then destination 2
We could use cosine law to find the distance
What is cosine law?The Law of cosines or cosine law means the relation between the length of sides of a triangle with respect to the cosine of its angle. It is also called the cosine rule
[tex]b^{2}=a^2+c^2-2ac*cosB[/tex]
=[tex]290^2+720^2-2*720*290*cos125[/tex]
=84100+518400-417600 cos 125
=602500-417600*(-0.5735)
=602500+239493.6
=841993.6
b=917.6 miles
≅918 miles
The distance is 918 miles he will fly from the second destination back to Dallas
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Answer:
918 miles
Step-by-step explanation:
got it right on edge
Help me!! Please anwser fast.
Answers
Answer:
only the first one
Step-by-step explanation:
all the others sign to at least one x value 2 different y values. and that violates the definition of a function.
so much summer school :(
Answers
The quotient of the division operation is [tex]\frac{5}{9}[/tex]
Division operationFrom the question, we are to find the quotient of the division operation
The given division operation is
[tex]\frac{2}{3} \div \frac{6}{5}[/tex]
1. The divided is [tex]\frac{2}{3}[/tex]
2. The divisor is [tex]\frac{6}{5}[/tex]
3. The reciprocal of the divisor is [tex]\frac{5}{6}[/tex]
4. The equivalent multiplication of the division problem is
[tex]\frac{2}{3} \times \frac{5}{6}[/tex]
5. The multiplication gives
[tex]\frac{2}{3} \times \frac{5}{6}=\frac{10}{18}[/tex]
6. Simplifying the quotient, we get
[tex]\frac{10}{18}=\frac{5}{9}[/tex]
Hence, the quotient of the division operation is [tex]\frac{5}{9}[/tex]
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I need help with the question that says the area of the triangle is…. What is one way to write the equation?
Answers
Answer:
A = b(h/2)
Step-by-step explanation:
Any rewrite of the equation can make use of the commutative and associative properties of multiplication.
What are the properties of multiplication?The commutative property of multiplication lets you change the order of the operands. The given equation can have any of 6 different orders of operands:
A = (1/2)bh = (1/2)hb = b(1/2)h = bh(1/2) = h(1/2)b = hb(1/2)
The associative property of multiplication lets you change the grouping of the operands:
A = ((1/2)b)h = (1/2)(bh)
These ways of grouping operands can apply to any of the 6 different orders of operands, so there are 12 ways to write the equation.
One way to write the equation is ...
A = b(h/2)
__
Additional comment
Please note that the way we have written the equation helps you see that the area of a triangle is equivalent to the area of a rectangle that has half the height. This can sometimes be useful when computing the areas of composite figures.
A = bh . . . . . . . rectangle areaA = b(h/2) . . . . triangle area with the same heightAnswer:
[tex] A = \dfrac{bh}{2} [/tex]
Step-by-step explanation:
[tex]A = \dfrac{1}{2}b \cdot h[/tex]
[tex] A = \dfrac{bh}{2} [/tex]
50 POINTS! Should I buy an Eric Emanuel hoodie or a Cdg Hoodie
Answers
Answer:
Step-by-step explanation:
given that the circumferential of a circle is 22cm calculate its diameter
Answers
Answer:
diameter =7 cm
Step-by-step explanation:
circum=2pi×r
[tex]2\pi \times r[/tex]
2×pi×r=22
2×22÷7×r=22
r=22×7÷44
r=7÷2
r=3.5
d=2×r=2×3.5=7
Darryl just received his credit scores from the three major credit bureaus. his experian score is 719, his equifax score is 741, and his transunion score is 780. what is his mean credit score? (round to the nearest whole point, if applicable.) a. 719 b. 741 c. 760 d. 747 please select the best answer from the choices provided a b c
Answers
The correct answer is D
Introduction to mean:The mean is also called average. The arithmetic mean is found by adding the numbers in the list and dividing the sum by the number of numbers in the list.
Mean = (Sum of all the observations/Total number of observations)
Given:Darryl's credit scores are Experian score is 719, Equifax's score is 741, and Transunion's score is 780.
To find the mean we have to add the given values i.e., the sum of Experian score, Equifax's score, and Transunion's score.
719+741+780
there are a total of 3 scores so we have to divide them by 3.
[tex]\frac{719+741+780}{3}[/tex]
≅[tex]746.67[/tex]
The nearest whole point is 747.
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How many integers n satisfy both of the inequalities 4n + 3 < 25 and -7n + 5 < 24?
Answers
Answer:
1) All real numbers n such that [tex]n < 5.5[/tex]
2) All real numbers n such that [tex]n > -\frac{19}{7}[/tex]
Step-by-step explanation: How did I come up with such answers? Let me show you!
For the first problem, we just solve the inequality easily.
Subtracting 3 from both sides, we get:
4n < 22
Dividing by 4 from both sides, we get:
n < 5.5
Thus, all real numbers n that is less than 5.5 when plugged in for x will be less than 25.
For the next problem, it will be slightly trickier.
Subtracting 5 from both sides, we get:
-7n < 19
Dividing -7 from both sides, we get:
n > -19/7
Did you catch that? We just flipped the inequality sign and turned it from less than to a greater than. Whenever we divide by a negative number, the signs always change.
Thus, for all real numbers n greater than -19/7, when plugging in for x, you will get less than 24.
Hope this helped!
Brainlyest to first correct. Report to incorrect
Add.
(−5x^4+6x^3−43)+(6x^5−x^2+12x+12)
Express the answer in standard form.
Enter your answer in the box.
Answers
Answer:
6x^5-5x^4+6x^3-x^2+12x-31
Step-by-step explanation:
(−5x^4+6x^3−43)+(6x^5−x^2+12x+12)
To add, combine like terms
6x^5-5x^4+6x^3-x^2+12x-43+12
6x^5-5x^4+6x^3-x^2+12x-31
Standard form means from the highest power of x to the lowest power of x
Here is a list of numbers:
7.3, 1, 3.6, 3.6, 1.6, 7.8,
5.4, 6.4, 6.1, 3.3
State the median.
Give your answer as a decimal.
ABC Check
←
↑
Ix
X
Answers
Answer:
4.5
Hope it helps
Graph the solution to this system of inequalities in the coordinate plane.
Answers
By using Geogebra online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
What is an inequality?An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Given the following system of inequalities:
3y > 2x + 12 ⇒ 3y - 2x > 12
2x + y ≤ -5
By using Geogebra online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
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An 8-cylinder Crown Victoria gives 18 miles per gallon in city driving and 21 miles per gallon in highway driving. A 300-mile trip required 15.5 gallons of gasoline. How many whole miles were driven in the city?
Answers
Answer:
Step-by-step explanation:
let he drives at 21 m/hr=x gallons
gas used at 18 m/hr=15.5-x
21x+18(15.5-x)=300
divide by 3
7x+6(15.5-x)=100
7x+93-6x=100
x=100-93=7 gallons
gas used in city=15.5-7=8.5 gallons
distance travelled in city=18×8.5=153 miles
Simplify the slope of AC.
B (b,c)
C (a+b, c)
Al(0, 0)
D (a,0)
Enter the value that
belongs in the green box.
Slone Formula: Y2-1
[?]
+b
Answers
Answer:
[tex] \boxed{\bf \cfrac{\boxed{c}}{\boxed{a }+ b}} [/tex]
Step-by-step explanation:
Given:
[tex] \tt (x_1,y_1) : A (0,0)[/tex]
[tex]\tt (x_2,y_2) : C (a+b, c) [/tex]
[tex]\boxed{\tt Slope= \cfrac{y_2,y_1}{x_2,x_1}} [/tex]
[tex]\tt \cfrac{c - 0}{a + b - 0} [/tex]
Add zero (Anything plus zero gives itself).
[tex] \tt \cfrac{c}{a + b + 0} [/tex]
[tex]\tt \cfrac{c}{a + b} [/tex]
▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎
la longitud del jardínde Carme es 15 m 24 cm. la longitud del jardín de su amigo es 2 m 98 cm más que el de Carmen . ¿cuál es la longitud del jardín de su amigo?
Answers
la longitud del jardín del amigo de Carmen es 18 m 22 cm.
¿Qué es una ecuación?Una ecuación es un enunciado matemático que se forma cuando una expresión algebraica se iguala mediante un signo igual a otra expresión algebraica o una constante.
Se da que la longitud de Carme
Se sabe que la longitud del jardín de Carmen es de 15 m 24 cm.
y el largo del jardín de su amigo es 2 m 98 cm más largo que el de Carmen.
Sea La longitud del jardín de Carmen es x m
Entonces la ecuación se convierte en
La longitud del jardín de su amigo = x + 2m 98 cm
ahora ,
x = 15m 24cm
Sustituyendo los valores en la ecuación
La longitud del jardín de su amigo = 15m 24cm + 2m 98 cm
1m = 100cm
La longitud del jardín de su amigo = 17 m 122 cm
as 100 cm = 1m
122 cm = 1 m 22 cm
so ,
La longitud del jardín de su amigo = 18 m 22 cm.
Por lo tanto, la longitud del jardín del amigo de Carmen es 18 m 22 cm.
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