The "Polynomial Pirate Has a Pet" worksheet on quadratic function transformations likely involves graphing quadratic functions with different transformations such as shifts, stretches, and reflections.
Polynomial functions are functions that involve variables raised to a power or powers, and whose coefficients are constants. A quadratic function is a polynomial function of degree 2, meaning that it involves variables raised to the power of 2. The standard form of a quadratic function is f(x) = \(ax^2 + bx + c\), where a, b, and c are constants. The graph of a quadratic function is a parabola, which can either be concave up or concave down, depending on the sign of the leading coefficient a.
Quadratic function transformations are changes made to the standard form of a quadratic function that affect the shape, size, and position of the parabola. These transformations include vertical and horizontal translations, vertical and horizontal stretches or compressions, and reflections across the x-axis or y-axis. For example, a horizontal translation of the function f(x) = \(x^2\) to the right by 2 units can be achieved by replacing x with (x - 2) to get f(x - 2) = \((x - 2)^2\).
Understanding quadratic function transformations is important in graphing and analyzing quadratic functions, as well as solving real-world problems that involve quadratic relationships.
To learn more about Polynomial please click on below link
https://brainly.com/question/15465256
#SPJ1
Susan has two pieces of ribbon, one 18 inches long and the other 12 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them? PLEASE HURRY IM TAKING A TIMED TEST!!
Answer:
I'm pretty sure its 12 inches
Step-by-step explanation:
Un hombre posee 50 acciones con un valor de 30 cada una , la corporación declaró un dividendo del 6% pagadero en acciones ¿cuantas acciones poseía entonces?
el hombre tenía 50 acciones.
La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,
se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,
podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.
Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.
Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.
Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.
Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,
To learn more about : tenía
https://brainly.com/question/29256780
#SPJ8
On a walk through the woods, Mr. Finley saw 16 blue jays and 25 purple finches. Write the ratio of finches to blue jays three different ways.
Answer:
25:16
50:32
100:64
Step-by-step explanation:
Suppose we compute the standard deviation and find that it is equal to 5.50. This number means that the numbers in the sample deviate, on the average:
The number is the sample deviation, on average 5.5 units from the mean.
The two key areas in statistics are variance and standard deviation. It is a metric for statistical data dispersion. The degree to which values in a distribution deviate from the distribution's average is known as dispersion. The following measurements can be used to determine the extent of the variation:
Range
Quartile Deviation
Mean Deviation
Standard Deviation
Suppose we compute and find that it is equal to 5.5. How do we interpret this number
The number is the sample deviation, on average 5.5 units from the mean.
learn more about sample deviation,
https://brainly.com/question/24277447
#SPJ4
20 POINTS!!!!! If 6+2 = 8, does 6 + 2 + 3 = 8 + 3 ? Why or why not?
INTERMEDIATE
3 unknown bags of gold with 3 ounces of lead balances with 1 unknown bag of gold
and 4 ounces of lead weights. How much gold is in each bag?
Answer:
I don't know what to do with it but I don't
Step-by-step explanation:
hahahaha
Using log evaluate 3^x=10
Answer:
x ≈ 2.09590327429
Step-by-step explanation:
You want the solution to 3^x = 10 using logarithms.
LogsTaking logarithms of both sides of the given equation, we have ...
x·log(3) = log(10)
Dividing by the coefficient of x gives ...
x = log(10)/log(3)
x ≈ 2.09590327429
__
Additional comment
If the logarithm to the base 10 is used, then this becomes ...
x = 1/log₁₀(3)
The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.
For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.
<95141404393>
The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).
Taking the log of both sides, we get:
log(3^x) = log(10)
Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:
x * log(3) = log(10)
Next, we can divide both sides of the equation by log(3) to isolate the variable x:
x = log(10) / log(3)
Using a calculator, we can evaluate the right side of the equation:
x ≈ 1.46497
Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
for such more question on equation
https://brainly.com/question/17482667
#SPJ8
please help must show work
Answer:
29. A) 8+0.40x≤12
B) x≤10
C) a number line with points at 0 and 10, filled in
30) A) 2x≤18
B) x≤9
C) a number line with points at 0 and 9, filled in.
Step-by-step explanation:
29. A) 8+0.40x≤12
B) 0.40x≤12-8
0.40x≤4
x≤10 They can have up to 10 toppings
C) a number line with points at 0 and 10, filled in
30) A) 2x≤18
B) x≤18÷2
x≤9 He can drive up to 9 hours.
C) a number line with points at 0 and 9, filled in.
solve the following proportion for v
\( \frac{ v}{13} = \frac{8}{11} \)
round your answer to the nearest tenth
A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange. Let B = the event of getting a blue jelly bean Let G = the event of getting a green jelly bean. Let O = the event of getting an orange jelly bean. Let P = the event of getting a purple jelly bean. Let R = the event of getting a red jelly bean. Let Y = the event of getting a yellow jelly bean. Find P(R)
Answer: \(\frac{11}{75}\)
Step-by-step explanation:
R is the event of getting a red jelly bean. 22 out of the 150 jelly beans are red. That means it is a \(\frac{22}{150}\) chance of getting a red jelly bean.
Simplified that is \(\frac{11}{75}\)
7.71 divided by 10 I don’t get how to do this
Answer: 0.771 you are welcome
HELP PLEASE NO LINKS!!!
Answer:
D. 1/(3^8)
Step-by-step explanation:
^^^This is the answer
A stick is 20cm long.A student makes 5% error in measuring the stick.find two possible values for the student's measurement
what is a proof
PLS PLS PLS HELP GELP HELPPPPPPPP
A. Definition = (the third meaning.)
B. Postulate (axiom) = (the first meaning.)
C. Common notion = (the last meaning.)
D. Theorem = (The second meaning.)
E. Corollary = (the fourth meaning.)
Proof is evidence or an argument that helps to establish a fact or the truth of a statement. For example, most people won't accept new concepts or ideas without proof of its existence.
you are sent to the local tea shop to pick up 9 drinks. You purchase 3 sweet teas and 6 unsweetened teas. Unfortunately, you forgot to label them. If you pick 3 drinks at random, find the probability of each event below. Give your answers as simplified fractions.
The probability of the four events are: Event 1: 1/84Event 2: 3/14Event 3: 15/28 Event 4: 5/21
The total number of drinks = 9The number of sweet teas = 3The number of unsweetened teas = 6If you select 3 drinks at random, the following events can take place:
Event 1: All three drinks are sweet teas. The probability of event 1 = (Number of ways in which all three drinks can be sweet teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be sweet teas = 3C3 = 1 (because all three sweet teas are already fixed)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 1 = 1/84 = 1/84
Event 2: Exactly two drinks are sweet teas. The probability of event 2 = (Number of ways in which two drinks are sweet teas and one is an unsweetened tea) / (Number of ways to select 3 drinks)The number of ways in which two drinks are sweet teas and one is an unsweetened tea = (3C2 × 6C1) = 18 (because you can choose 2 sweet teas from 3 and 1 unsweetened tea from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 2 = 18/84 = 3/14
Event 3: Exactly one drink is a sweet tea. The probability of event 3 = (Number of ways in which one drink is a sweet tea and the other two are unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which one drink is a sweet tea and the other two are unsweetened teas = (3C1 × 6C2) = 45 (because you can choose 1 sweet tea from 3 and 2 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 3 = 45/84 = 15/28
Event 4: All three drinks are unsweetened teas. The probability of event 4 = (Number of ways in which all three drinks can be unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be unsweetened teas = 6C3 = 20 (because you can choose 3 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84 Therefore, the probability of event 4 = 20/84 = 5/21
For more question probability
https://brainly.com/question/25839839
#SPJ8
help , i’ll mark brainliest <333
Since the triangles are congruent, their angles are the same
2x = x + 10
x = 10
Angle A = x + 10 = 10 + 10 = 20
On the average, five smokers pass acertain street corners every ten minutes, what is the probability that during a given 10 minutes the number of smokers passing will be A. 6 or fewer B. 7 or more C. Exactly 8
Answer:
The answer will be A. 6 or fewer.
The probability that during a given 10 minutes the number of smokers passing will be 6 or fewer.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Example
Suppose we have to predict about the happening of rain or not. The answer to this question is either "Yes" or "No". There is a likelihood to rain or not rain. Here we can apply probability. Probability is used to predict the outcomes for the tossing of coins, rolling of dice, or drawing a card from a pack of playing cards.
Terminology of Probability TheoryThe following terms in probability help in a better understanding of the concepts of probability.
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
Given:
There are 5 smokers who passes by in every 10 minutes.
So, the probability that during a given 10 minutes the number of smokers passing will be approx 5 or less.
i.e., 6 or fewer.
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
this cylinder has a volume of 12 pi cubic inches and diameter of 4 inches find the cylinders radius and height
Answer:
48
Step-by-step explanation:
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
For more such questions on graph
https://brainly.com/question/19040584
#SPJ8
Kayla drives her new car to work every day. It uses 1 3/5 gallons of gas for each round trip. How many round trips to work can Kayla drive on a 16-gallon full tank of gas?
Answer:
16 road trips
Step-by-step explanation:
Right the slope intercept form of the line that passes through (1,-2) and is parallel to the line y=4x+2
Evaluate the expression when
b=7 and x=-3.
X-7b
The owner of an apple orchard would like to estimate the mean number of usable apples produced per tree in his
large orchard. He selects a random sample of 10 trees from his large orchard. This dotplot displays the number of
usable apples produced for each of these trees.
Are the conditions for constructing at confidence interval met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, the conditions for inference are met.
Step-by-step explanation:
know the normal large sample condition is not met and also there are outliers
Answer:
C
Step-by-step explanation:
No, the Normal/large sample condition is not met.
Write these fractions as percentage 2/3
Answer: 66%
Step-by-step explanation: To convert a fraction to a percentage, divide the top number by the bottom number. For example, \(\frac{1}{4}\) is 25% because if divide them, (1÷4=0.25) then we get 25%. So, for this problem, we solve 2÷3, which equals 0.66, or 66%.
hope this helps!
please give brainliest!
The median a data set with nine data values is 36. A tenth value was added to the set, and the median is still 36. If the new value is greater than 36, why did the median not change?
The median did not change because the 5th and 6th term of data is same.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
Given that;
The median of data set with nine numbers= 36
After the addition of tenth value median= 36
Now,
Median is the middle term of data
Here, the middle value and 6th term must be same.
So, 5th term= 6th term= 36
Therefore, the median of the given data set is same.
Learn more about mean and median;
https://brainly.com/question/17060266
#SPJ9
Which term of the sequence 1/4;-1;-21/4;...is equal to -131/2
11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).
Step-by-step explanation:
the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the
Signals are digitized during transmissions over wireless networks. The chart lists possible features of digital communication.
1. Digital signals carry less information per second.
2. Information can be stored for future recovery.
3. Digital signals can be transmitted over long distances.
4. Signal loss happens less frequently.
Which features are correct?
О 1 and 2 only
O 3 and 4 only
O 1, 2, and 3
O 2, 3, and 4
Answer:
The correct features are;
2, 3, and 4
Step-by-step explanation:
2) Information carried by digital communication can be stored as digital information on electronic media such that they can be accessed with the aid of electronics and can be stored in a wide variety of recording formats including magnetic and optical media
3) Digital communication can be made over very long distance using serial communication. Fiber optics cables are used for transmitting information across continents using square waves which is a digital signal
4) Digital signals are less likely to be subjected to interference, distortion, and generation loss which is prone to analog signals, and therefore, there is less chance of signal loss when using digital communication.
Find the value of 11C6
330
0
165
462
Answer:
462
Step-by-step explanation:
(11)C(6) = 11! ÷ 6! 5!
= (11 x 10 9 x 8 x 7) / (5 x 4 x 3 x 2)
= 462
5) What is the distance between the points (3,-5) and (5,6)?
A) 125
B) 11.2
C) 100
D) 10
Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)