Y= x+5 Y= y= 3/8x Y= -x-2 Y= 6x+1Y= x-11 Y= 8xY= -1/3 xPart : graph each line after the given of y= x8. A translation 4 units down
Answers
The parent function of the transformation is given as,
\(y=x\)1) y = x + 5
The parent function is being translated horizontally to the left by 5 units.
2) y = 3/8 x
The parent function is horizontally stretched by a factor of 8/3.
3) y= -x-2
The parent function is reflected across the y-axis and then translated horizontally to the right by 2units.
4) y=6x+1
The parent function is shrinked horizontally by the factor of 1/6 and translated to the left by 1 unit.
5) y = x-11
The parent function is translated to the right by 11 units.
6) y=8x
The parent function is shrinked horizontally by the factor of 1/8.
7) y = -1/3x
The parent function is stretched horizontally by a factor of 3, then reflected across the y-axis.
Related Questions
Which of the following is equivalent to 3 cm??
A.
B.
6 mm2
30 mm
90 mm-
300 mm
C.
D.
Answers
Answer:
30mm
Step-by-step explanation:
a certain basketball player makes a foul shot with probability 0.45. what is the probability that (a) his first basket occurs on the sixth shot; (b) his first and second baskets occur on his fourth and eighth shots, respectively?
Answers
The probability of making a basket on the sixth shot is 0.075. The probability that the first and second baskets occur on the fourth and eighth shots is 0.031.
For the first shot to be on the sixth trial, five earlier shots must have failed.
The probability of a missed basket is 1 - 0.45 = 0.55.
The probability of five missed baskets in a row is (0.55)5 = 0.166.
The probability of making a basket on the sixth shot is 0.45.
Hence, the probability of making a basket on the sixth shot is 0.45 * 0.166 = 0.075.
There are a few possible ways to get the first and second baskets to happen on the fourth and eighth shots, respectively.
In the end, either of the following two paths will work:
4 failures, then 2 successes, then 2 failures
3 failures, then 1 success, then 1 failure, then 1 success, then 2 failures
Using the multiplication rule, we get the following probabilities for each course:
P(4 failures, 2 successes, 2 failures) = (0.55)4 * (0.45)2 * (0.55)2
= 0.018
P(3 failures, 1 success, 1 failure, 1 success, 2 failures) = (0.55)3 * (0.45) * (0.55) * (0.45) * (0.55)2
= 0.013
The probabilities of the two possible routes must be summed up to arrive at the answer.
Hence, the probability that the first and second baskets occur on the fourth and eighth shots, respectively, is 0.018 + 0.013 = 0.031.
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where is the center of the face of the cube?
Answers
The center of the face of a cube is the midpoint of the face and lies along the line that runs between the opposite vertices of the face.
Where is the center of the face of a cube?This is the point of intersection of the two diagonals in a face. In other words, it is the point that is equidistant from all four corners of the face.
To visualize this, imagine dividing the face into four equal triangles by drawing lines from each corner to the center. The center of the face is at the intersection of these lines.
In three-dimensional space, the center of the face of a cube is also the center of the cube itself, as all faces of a cube are congruent (the same shape and size) and meet at the center of the cube.
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The following data show the frequency of rainy days in a year less than 0.01 inch 165 days 0.01 -1 inch 90 days 1.01 - 5 inches 60 days 5.01 -10 inches 40 days more than 10 inches 10 days Find the mode.
Answers
The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.
From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"
Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.
In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.
Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.
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If I1 ⊇ I2 ⊇ .... In ⊇... is a nested sequence of intervals and if In = [an; bn], show that a1 ≤ a2 ≤ ....... ≤ an ≤ ........ and b1 ≤ b2 ≤..... bn ≤ ......
Answers
The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:
1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.
To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.
First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.
Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.
We can continue this process for all the intervals in the sequence, until we reach In. So we have:
a1 ≤ a2 ≤ ... ≤ an-1 ≤ an
and
b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn
This shows that the endpoints of the intervals are ordered in the same way.
Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:
Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:
1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.
Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .
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how to send kred to a krew member
Answers
To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.
Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.
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The marginal average cost of producing x digital sports watches is given by the function Cˉ(x), where Cˉ(x) is the average cost in dollars. Cˉ′(x)=−1,700/x2,Cˉ(100)=28. Find the average cost function and the cost function. What are the fixed costs? The average cost function is C(x)= The cost function is C(x)= The fixed costs are _____ $
Answers
The average cost function C(x) can be found by integrating the marginal average cost function C'(x). Using the given derivative C'(x) = -1,700/x^2, we integrate with respect to x to find C(x):
C(x) = ∫(-1,700/x^2) dx = 1,700/x + C
To determine the constant of integration C, we use the given information that C(100) = 28:
28 = 1,700/100 + C
28 = 17 + C
C = 28 - 17
C = 11
Thus, the average cost function is C(x) = 1,700/x + 11.
To find the cost function C(x), we integrate the average cost function C(x) with respect to x:
C(x) = ∫(1,700/x + 11) dx = 1,700 ln|x| + 11x + K
The constant of integration K represents the fixed costs. To determine the value of K, we can use the given information that C(100) = 28:
28 = 1,700 ln|100| + 11(100) + K
28 = 1,700 ln(100) + 1,100 + K
28 = 1,700(4.605) + 1,100 + K
28 = 7,819.5 + 1,100 + K
K = 28 - 7,819.5 - 1,100
K ≈ -8,892.5
Therefore, the cost function is C(x) = 1,700 ln|x| + 11x - 8,892.5, and the fixed costs are approximately $8,892.50.
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Click on the graph until the graph of a line with undefined slope appears.
Answers
Answer:
option 2
Step-by-step explanation:
The only kinds of lines with undefined slopes are vertical lines.
Answer:
The second graph.
Step-by-step explanation:
A vertical line has undefined slope so it is the second graph.
Two pools are being filled with water. To start, the first pool contains 915 Liters of water and the second pool is empty. Water is being added to the first pool at a rate of 15.25 liters per minute. Water is being added to the second pool at a rate of 45.75 Liters per minute. After how many minutes will the two pools have the same amount of water? How much water will be in each pool when they have the same amount?
Answers
a) 30 minutes are taken to have the same amount of water.
b) Both pools have an amount of 1372.5 liters when 30 minutes have passed.
What is Linear Function?A linear function is one that produces a straight line when plotted. Generally, it is a polynomial function with a maximum degree of 1 or 0.
Now in the given question ,
a) Physically speaking, the capacity (Q) of each pool, in liters, is equal to the product of flow rate , in liters per minute, and time (t), in minutes. Hence, we derive the following functions :
First pool,
\(Q_1=915+15.25t\\\) ...... (1)
Second pool,
\(Q_2=45.75t\) ....... (2)
The following expression can be used to calculate how long it will take to find two pools with the same amount of water:
\(Q_1=Q_2\) ........ (3)
By putting value of (1) and (2) in (3),
915 + 15.25 t = 45.75 t
30.5 t = 915
t = 915 ÷ 30.5
t = 30 minutes
30 minutes are taken to have the same amount of water.
b) By (2) and knowing that t = 30 , then we have the corresponding amount:
\(Q_2=45.75t\\\\Q_2=45.75*30\\\\Q_2=1372.5L\)
Both pools have an amount of 1372.5 liters when 30 minutes have passed.
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With Alpha set to .05, would we reduce the probability of a Type
I Error by increasing our sample size? Why or why not? How does
increasing sample size affect the probability of Type II Error?
Answers
With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.
However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).
Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.
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An exam consists of 40 multiple-choice questions. Each question has a choice of five answers, only one of which is correct. For each correct answer, a candidate gets 1 mark, and no penalty is applied for getting an incorrect answer. A particular candidate answers each question purely by guess-work. Using Normal approximation to Binomial distribution with continuity correction, what is the estimated probability this student obtains a score greater than or equal to 10? Please use R to obtain probabilities and keep at least 6 decimal places in intermediate steps.
A. 0.7234 B. 0.2766 C. 0.5927 D. 0.1615 E. 0.3773
Answers
The estimated probability that the candidate obtains a score greater than or equal to 10 is 0.7234, rounded to four decimal places, so the answer is (A).
The number of correct answers that the candidate gets is a binomial random variable with parameters n = 40 (number of trials) and p = 1/5 (probability of success). We want to find the probability that the candidate gets a score greater than or equal to 10, which is equivalent to getting 10 or more questions correct.
Using the normal approximation to the binomial distribution with continuity correction, we can approximate the distribution of the number of correct answers by a normal distribution with mean μ = np = 40 * 1/5 = 8 and variance σ^2 = np(1-p) = 40 * 1/5 * 4/5 = 6.4.
To find the probability that the candidate gets 10 or more questions correct, we can standardize the normal distribution and use the standard normal distribution table or R to find the probability.
Let X be the number of correct answers. Then, we have:
P(X >= 10) = P((X - μ) / σ >= (10 - μ) / σ)
= P(Z >= (10 - 8) / sqrt(6.4)), where Z is a standard normal random variable.
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Someone help PLZ make sure it’s right if it is will mark brainiest
Answers
Answer:
The measure of the indicated angle to the nearest degree is 68°
Step-by-step explanation:
hope it helps
what is the image (-9,-2) after a reflection over the x-axis ?
Answers
Answer:
(-9,2)
Step-by-step explanation:
The rule for reflecting over the x axis is
(x,y)→(x,−y)
(-9, -2) becomes ( -9, - -2) = (-9,2)
Answer:
(-9,2)
Step-by-step explanation:
It will be -9,2 because when you reflect across x axis you change the y axis not the x axis because if you imagine it it works like that
Prove that:
\( \cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1 \)
Please solve this problem because tomorrow is my maths exam.
Answers
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Whats the best grunge rock band?
Answers
Answer:
Matallica
Step-by-step explanation:
It's my personal favorite but also Nervana....
Answer: Nirvana
Step-by-step explanation: hoped this helped :)
What is the solution to the system of equations above?
Answers
Answer:
(-2,-2)
Step-by-step explanation:
the x is -2
also the y is -2
Write an equation of a line with a slope of 2/3 whose graph will cross the y-axis at the point (0, 12.65).
Answers
Therefore , the solution of the given problem of slope intercept comes out to be y = 0.66x +12.65.
What exactly is a slope-intercept form?The gradient intercept method can be used once you are satisfied that Y = mx + b holds true. The direction form can be used to illustrate a hypothesis for a line by focusing on a single point directly and its slope. The slope is determined by the increase across the run and is first represented by the point form (x,y). The slope can be determined using slope intercept method, which is y = mx + b. (0, b). The direct form is a method for formulating a prediction equation for a line by making just one precise declaration about a vector slope.
Here,
Given : slope = 2/3
and coordinates = (0 , 12.65)
Thus ,
the equation of the given line by using formula of slope intercept:
=> y- y1 = m(x-x1 ) + c
=> y - 12.65 = 2/3*x
=> y = 0.66x +12.65
Therefore , the solution of the given problem of slope intercept comes out to be y = 0.66x +12.65.
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A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2 x 6 y = 2x 7 y = 2x 4 y = 1 over 2 x 10.
Answers
Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.
Given information-
The point through which the line passes are (2, 8) and (4, 12).
To find the equation of the line, the standard form of the equation of the line must be obtained.
Equation of the lineEquation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.
The standard form of the equation of the line can be given as,
\((y-y_1)=\dfrac{y_2-y_1}{x_2-x_1} (x-x_1)\)
Where \((x_1,y_1)\) and \((x_2,y_2)\) are the points through which the line passes.
Thus the equation of the line which passes through the points (2, 8) and (4, 12) can be given as,
\((y-8) &=\dfrac{12-8}{4-2} (x-2)\\(y-8) &=\dfrac{4}{2} (x-2)\\2y-16 &=4x-8\\2y &=4x-8+16\\\)
Divide by 2 both the side,
\(y=2x-4\)
Thus the equation of the line which passes through the points (2, 8) and (4, 12) is,
\(y=2x-4\)
Hence the option 3 is the correct option.
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Can someone please help me with this?
Answers
Answer:
Answer Option C
Step-by-step explanation:
They make a big plus sign, PLUS=PERPENDICULAR
how do you simplify 1/10
Answers
Answer:
0.1
Step-by-step explanation:
\(10\sqrt{1} \\10\sqrt{1.0} \\=0.1\)
Which ordered pairs display y as a function of x? *O (0,0) (1,-1) (1,-2)O (2.2) (3,-2) (4,5)0 (0,2) (0, -1) (7.1)O (1,-1) (2-1) (1.-3)
Answers
A function f maps an element from one domain to a unique range of elements, in this case the only ordered pair which satisfies the previous definition is:
O (2.2) (3,-2) (4,5)
What is m
A)30
B)60
C)90
D)50
Answers
Answer:
A) 30°
Step-by-step explanation:
All triangles angles add always to 180°, so we have two already 75° + 75° = 150° thus the angle is 30°
Answer:
m Is 30
Step-by-step explanation:
m is 30
because....the sum of angles in a triangle is 180
75+75+m =180
150+m=180
make m the subject of the formula
m=180-150
m=30
g) In the figure alongside, AB is an electric pole. When an
electric wire falls, its one end touches the ground at P,
5 m away from the base of the pole. If the length of the wire
from the top of the pole to the ground is 13 m, complete
the following problems.
(i) Find the height of the pole.
(ii)If the other end of the wire touches the grand at Q, 9 m away from the
base to the opposite side of the pole, find the length of the falling wire.
Step by step solution
Answers
The height of the electric pole is 12 m
When an electric wire falls, its one end touches the ground at P, 5 m away from the base of the pole,
base = 5
length of the wire from the top of the pole to the ground is 13 m
Height of the plant can be calculated by pythagoras theorem
h² = p² + b²
13² = p² + 5²
p² = 169 - 25
p = √144
p = 12m
Therefore, the height of the electric pole is 12 m
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A teacher interested in determining the effect of a new computer program on learning to read conducted a study. One hundred students were randomly assigned to one of tu
groups. The first group used the computer program while the second group did not. Both groups were tested to determine how much their reading levels improved. The results for the two groups were compared. What kind of study is this?
Answers
Answer:
This is an experiment because a treatment was applied to a group.
Step-by-step explanation:
There are two groups, The first group used the computer program while the second group did not therefore this is an experiment. An experiment involves changing an independent variable to see how it affects a dependent variable. The dependent variable in this case determining the effect of a new computer program on learning while the independent variables was testing with the computer program and not testing with the program.
The probability that a student chosen at random from a class has black hair is 5/12. The probability that they have ginger hair is 7/24. What is the probability that a student chosen from the class at random has either black hair or ginger hair?
Give your answer as a fraction in its simplest form.
Answers
Answer:17/24
Step-by-step explanation:
5/24=10/24
10/24=black hair
7/24=ginger hair
10/24+7/24=17/24
Approximate √8 to the nearest hundredth. Show your work.
Answers
Rounded to the nearest hundredth: 2.83
\(\sqrt{2-2sinx}\)
Answers
\(\mathrm{Domain\:of\:}\:\sqrt{2-2\sin \left(x\right)}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:\mathrm{True\:for\:all}\:x\in \mathbb{R}\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)
\(\mathrm{Axis\:interception\:points\:of}\:\sqrt{2-2\sin \left(x\right)}:\quad \mathrm{X\:Intercepts}:\:\left(\frac{\pi }{2}+2\pi n,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:\sqrt{2}\right)\)
\(\mathrm{Asymptotes\:of}\:\sqrt{2-2\sin \left(x\right)}:\quad \mathrm{None}\)
\(\mathrm{Extreme\:Points\:of}\:\sqrt{2-2\sin \left(x\right)}:\quad \mathrm{Maximum}\left(\frac{3\pi }{2}+2\pi n,\:\sqrt{2-2\sin \left(\frac{3\pi }{2}+2\pi n\right)}\right)\)
A line passes through the points (4,23)and(8,27) Write a linear function rule in terms of x and y for this line.
Answers
Answer:
4/23 8/27
Step-by-step explanation:
Kayla has 5 2/3 tablespoons of sugar
in a bowl. She is sprinkling 1/3
tablespoon of sugar on top of each
cupcake she is baking. How many
cupcakes can she sprinkle with the
sugar that is in the bowl?
Answers
What is the radius of C? 5 cm 10 cm 12.5 cm 50 cm
Answers
Answer:
5 cm hope this helps
Step-by-step explanation:
pls mark me brainiest
Answer:
5 cm
Hope this helps you don't need to mark me brainiest :)