Using translation concepts, the graph of h(x) = -3/x is given at the end of the answer. Compared to the parent function, it was vertically stretched by a factor of 3 and reflected over the x-axis.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the parent and translated functions are given, respectively, by:
f(x) = 1/x.h(x) = -3/x.The translations are described as follows:
Multiplication by a negative number, hence it was reflected over the x-axis.Multiplication by a number with absolute value of 3, hence the function was vertically stretched by a factor of 3.The graph of h(x) is given at the end of the answer, containing points such as:
(-3,1).(-1,3).(1,-3).(3,-1).More can be learned about translation concepts at https://brainly.com/question/4521517
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Write the function in slope-intercept form
4y=-8x-10
WILL MARK BRAINLIEST
Answer:
Y=2x- 5
-----
2
Step-by-step explanation:
Find the value of n that makes ΔDEF ∼ΔXYZ when DE = 4, EF = 5, XY = 4(n+1), YZ = 7n - 1, and ∠E ≅∠Y. n =
Answer:
3
Step-by-step explanation:
It's given that ΔDEF ∼ΔXYZ . So the corresponding sides of both triangles will be proportional to each other.
\( = > \frac{de}{xy} = \frac{ef}{yz} = \frac{df}{xz} \)
DE = 4 ; XY = 4(n + 1) ; EF = 5 ; YZ = 7n - 1
Putting all these values gives ,
\( \frac{4}{4(n + 1)} = \frac{5}{7n - 1} \)
\( = > \frac{1}{n + 1} = \frac{5}{7n - 1} \)
\( = > 7n - 1 = 5(n + 1)\)
\( = > 7n - 1 = 5n + 5\)
\( = > 7n - 5n = 5 + 1\)
\( = > 2n = 6\)
\( = > n = \frac{6}{2} = 3\)
Answer:
answer is 3
Step-by-step explanation:
they are correct
Point P is located at (4, 8) on a coordinate plane. If a reflection is preformed, identify the transformation that would map Point P to the coordinate P’ (4, −8)?
The transformation rule (x, y) → (x, - y) is used to transform the point (x, y) = (4, 8) into the point (4, - 8).
How to find the image of the point by transformation rules
In this problem we have the location of the original point, whose image has to be found by means of transformation rules, that is, transformations that modify the features of a geometric locus. In this we must determine the kind of reflection use to transform from the point (4, 8) into the point (4, - 8).
By direct inspection, the kind of transformation rule used is defined below:
(x, y) → (x, - y)
(4, 8) → (4, - 8)
The transformation rule used is (x, y) → (x, - y), that is behind the transformation of the point (4, 8) into the point (4, - 8).
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If y varies directly with x and y=-16 when x=8, find y when x=2
Answer:
y=-4
Step-by-step explanation:
The answer is going to be -4 as when y=-16 x=8.
6. If one polygon can be mapped to another by a series of then the polygons are
the answer are: rigid transformations, then the polygons are congruent
Let S equals left curly bracket 1 minus x plus x squared comma 1 plus 2 x comma negative 1 plus 2 x right curly bracket and p with bar on top equals negative 4 plus 8 x minus 4 x squared. The set S is a basis for P subscript 2.
left parenthesis p with bar on top right parenthesis subscript S equals left parenthesis a comma b comma c right parenthesis with
1.2)
Let V be a vector space and v with bar on top element of V. If open parentheses top enclose v close parentheses subscript S equals open parentheses top enclose v close parentheses subscript B for bases S and B of V, then S equals B.
True
False
1.3)
Let V be the set of all ordered pairs of real numbers with addition and scalar multiplication operations defined as follows on V: for top enclose u equals left parenthesis u subscript 1 comma u subscript 2 right parenthesis and top enclose v equals open parentheses v subscript 1 comma v subscript 2 close parentheses in V
top enclose u plus top enclose v equals left parenthesis u subscript 1 comma u subscript 2 right parenthesis plus left parenthesis v subscript 1 comma v subscript 2 right parenthesis equals left parenthesis u subscript 1 plus v subscript 1 minus 1 comma u subscript 2 plus v subscript 2 plus 2 right parenthesis k top enclose u equals k left parenthesis u subscript 1 comma u subscript 2 right parenthesis equals left parenthesis k u subscript 1 minus k plus 1 comma k u subscript 2 plus 2 k minus 2 right parenthesis
This is a vector space.
Explain why the set open curly brackets left parenthesis 1 comma negative 2 right parenthesis comma left parenthesis 1 comma 1 right parenthesis close curly brackets does not form a basis for the space.
Instructions:
Write a sentence explaining why this set is not a basis for V. This question will be marked manually after submission. The final marked achieved for this quiz will therefore only be available after I have gone through all the attempts for this question.
The set { (1, -2), (1, 1) } does not form a basis for the vector space V because it is not linearly independent. To be a basis, a set of vectors must be linearly independent and span the entire vector space.
In this case, the given set is linearly dependent because one vector can be expressed as a linear combination of the other. Specifically, (1, 1) = 2(1, -2). Since the vectors are not linearly independent, they cannot span the entire vector space, and thus, the set { (1, -2), (1, 1) } fails to form a basis for V. To determine whether a set forms a basis for a vector space, we need to consider two conditions: linear independence and spanning.
Linear independence refers to the property that none of the vectors in the set can be expressed as a linear combination of the others. In the given set { (1, -2), (1, 1) }, we can observe that one vector, (1, 1), can be obtained by multiplying the other vector, (1, -2), by a scalar. Specifically, (1, 1) = 2(1, -2). This implies that the vectors in the set are not linearly independent since one can be represented in terms of the other.
Spanning, on the other hand, refers to the property that the set of vectors can generate any vector in the vector space through linear combinations. In this case, since the vectors are not linearly independent, they cannot span the entire vector space. The vector (1, -2) and the scalar multiple of it, 2(1, -2), can only generate a line in the vector space, not the entire space.
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simplify 2 square root of 160 x^5 y^4
A business school event invites all of its graduate and undergraduate students to attend. Of the students who attend, male graduate students outnumber male undergraduates by a ratio of 7 to 2, and females constitute 70% of the group. If undergraduate students make up 1/6 of the group, which of the following CANNOT represent the number of female graduate students at the event?
a. 18
b. 27
c. 36
d. 72
e. 180
If you have a right triangle with 36 square units. what is the scaled value if you go 2-1 , 3-1?
Answer:
324, 900, 9
Step-by-step explanation:
When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!
Onto the answer, just follow the advice above:
36 * 3^2 = 36 * 9 = 324 square inches,
36 * 5^2 = 36 * 25 = 900 square inches,
36 * 0.5^2 = 36 * 0.25 = 9 square inches.
Hope this helps :)
Consider a population regression model. For simplicity, ignore the subscript i that we normally attach with the variables. If k=2, then the model can be written as:
A. Y= β0 + β1X1 + β2X2 + e
B. Y = β0 + β1X1 + β2X2 +
C. Y = β0 + β1X1 + β2X2 = β0 + β1X1 + β2X2
D. Y = β0 + β1X1 + β2X2 + e
Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.
In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.
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help me with geomtry please
Answer:
AM=8
Step-by-step explanation:
the length of BQ is the same as the length of PA, if BQ is 18 then, if PM is 10 then MA is 8 knowing that 18 is the whole length.
18-10=8
What is the height of the brick?
The height of the cube brick is 7 units and the volume is equal to 343 unit³
Volume of a cubeThe volume of a cube is defined as the total number of cubic units occupied by the cube. The formula is given as V = a³ where "a" is the length of edge or sides.
The length of an edge for the cube brick is 7 units which implies the height represented by h is also 7 units and the volume is calculated as follows:
volume of cube brick = 7 units × 7 units × 7 units
volume of cube brick = 343 units ³
Therefore, the height of the cube brick is 7 units and the volume is equal to 343 unit³
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problem 2. (1 point) you are hosting a party with 80 fellow students from uci (including yourself the number of students is 81). as the party organizer, you shake hands with every guest to welcome them. moreover, there are a lot handshakes among the guests as well (e.g., to say hello or introduce themselves). if you do not know the total number of handshakes, can you be certain that there are at least two guests who had the same number of handshakes?
Yes, you can be certain that there are at least two guests who had the same number of handshakes. This is due to the Pigeonhole Principle.
As the party organizer, you shake hands with all 80 guests, which means you have 80 handshakes. The guests can have a minimum of 0 handshakes (if they don't shake hands with anyone except you) and a maximum of 79 handshakes (if they shake hands with everyone except themselves). There are 80 guests (excluding yourself), so there are 80 "pigeonholes" for the number of handshakes. The range of possible handshakes among the guests is from 0 to 79, which creates 80 possible outcomes or "pigeons."
According to the Pigeonhole Principle, if there are n pigeonholes and n+1 pigeons, at least one pigeonhole must contain at least two pigeons. In this case, there are 80 pigeonholes (guests) and 80 pigeons (possible handshakes). Therefore, at least two guests must have had the same number of handshakes.
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9.) Which decimal is greater, 0.489 or 0.711? Compare these two decimals using the number if needed.
0.0 ←+++▬▬▬▬▬▬▬▬▬▬▬▬←1.0
0.0 ←▬0.1▬0.2▬0.3▬0.4▬0.5▬0.6▬0.7▬0.8▬0.9▬←1.0
Therefore, 0.711 is greater than 0.489Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Answer:
0.711 is greater than 0.489
Step-by-step explanation:
To compare the decimals 0.489 and 0.711, we can look at the digits in each decimal place.
Starting from the leftmost digit, we compare the digits in each decimal place until we find a difference. In this case:
- The first digit of 0.489 is 4, and the first digit of 0.711 is 7. Since 7 is greater than 4, we can conclude that 0.711 is greater than 0.489.
Therefore, 0.711 is the greater decimal compared to 0.489.
Hope this helps! A thank you, and a Brainliest would be much appreciated!
assume that the life span in honolulu is approximately normally distributed, does this information indicate that the population mean life span for honolulu is less than 77 years? find the p-value to test the hypothesis
The p-value represents the probability of observing a sample mean as extreme as, or more extreme than, the one obtained, assuming the null hypothesis is true.
To determine whether the population mean life span for Honolulu is less than 77 years, we can conduct a hypothesis test using the given information. Let's set up the hypotheses:
Null Hypothesis (H0): The population mean life span for Honolulu is greater than or equal to 77 years.
Alternative Hypothesis (Ha): The population mean life span for Honolulu is less than 77 years.
To find the p-value, we would need additional information such as the sample mean and standard deviation. Without those values, we cannot directly calculate the p-value. However, we can describe the process of hypothesis testing.
To test the hypothesis, we would collect a sample of life spans in Honolulu, calculate the sample mean and standard deviation, and perform a one-sample t-test or z-test depending on the sample size and information available. This test would yield a test statistic and corresponding p-value.
A small p-value (less than the significance level, typically 0.05) would provide evidence to reject the null hypothesis in favor of the alternative hypothesis, suggesting that the population mean life span for Honolulu is indeed less than 77 years.
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The value of the ___________ is used to estimate the value of the population parameter. a. sample statistic b. population statistic c. sample parameter d. population estimate
The value of the sample statistic is used to estimate the value of the population parameter.
The sample statistic is the value that is calculated from the sample data, which is used to make inferences about the population parameter. Sample statistics are used to estimate population parameters. A sample statistic is an estimate of a population parameter that is obtained from a sample, whereas a population statistic is a value that is computed from a population.
Therefore, the correct answer is a. sample statistic.
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what is the area of a circle with the diameter of 16 cm
Answer:
201.06 square centimeters.
Explanation:
The formula for finding the area of a circle is:
\(\text{Area}=\pi r^2\)Given that the diameter = 16 cm
\(\begin{gathered} \text{Radius,r}=\text{Diameter}\div2 \\ =16\div2 \\ r=8\operatorname{cm} \end{gathered}\)Next, substitute r=8cm into the formula for area.
\(\begin{gathered} A=\pi\times8^2 \\ =64\pi \\ =201.06\operatorname{cm}^2 \end{gathered}\)The area of the circle is 201.06 square centimeters.
The distribution is uniform. B. The distribution is skewed to the left. C. The distribution is bell shaped. D. The distribution is skewed to the right.
The shape of a uniform distribution is rectangular. (option d)
A uniform distribution is characterized by a constant probability for each value within a given range. This means that all values within that range have an equal likelihood of occurring. Visually, a uniform distribution appears as a rectangle on a graph, hence the name "rectangular distribution."
To understand the shape of a uniform distribution in mathematical terms, let's consider a continuous uniform distribution over an interval [a, b]. The probability density function (PDF) for a continuous uniform distribution is defined as:
f(x) = 1 / (b - a) for a ≤ x ≤ b
= 0 otherwise
Since the probability density is constant within the defined range and zero outside it, the resulting shape is rectangular. Each value within the interval has an equal probability of occurring, resulting in a uniform distribution.
Hence the correct option is (d)
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Complete Question:
A uniform distribution's shape is:
A. Bell-shaped.
B. Positively skewed.
C. Negatively skewed.
D. Rectangular.
E. Skewed either positively or negatively depending upon the dataset.
Describe the difference between null vs alternative hypothesis
Statistical hypothesis testing employs the null and alternate hypotheses.
The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.
A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.
Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.
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What is the volume of the triangular prism below? Give your answer in m' 1³. 4m 7m 8m
The volume of the triangular prism is 112 cubic meters (m³).
To find the volume of the triangular prism, we need to multiply the area of the triangular base by the height of the prism. The formula for the volume of a prism is V = base area * height.
First, let's calculate the area of the triangular base. We can use the formula for the area of a triangle, which is A = 1/2 * base * height.
The base of the triangle is given as 4m, and the height is given as 7m. Plugging these values into the formula, we get:
Base area = 1/2 * 4m * 7m = 14m²
Now, let's find the height of the prism, which is given as 8m.
Finally, we can calculate the volume using the formula:
V = base area * height = 14m² * 8m = 112m³.
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Please help me with this question.
Answer:
aww i help u.....
Step-by-step explanation:
my answer is letter ~~B CAUSE STUDEN BIS CONDYCTION LIKR FREE AT THE SCORED
Please help me and I’ll give you brainiest make sure to explain :)
Answer:
y = -2/3x -5
Step-by-step explanation:
First, let's fill in our equation of y = mx + b
(6, -9) is the coordinate we will be subsituting
If the equation that s to the one we are solving we must turn its slope into it's negative reciprocal, which would go from 3/2 to -2/3
Now let's substitute and solve
y = mx + b
(-9) = -2/3(6) + b
-9 = -4 +b
+4 +4
-5 = b
Now we create the equation
y = -2/3x -5
what is 24 in scientific notation
Answer:
2.4 × 101
Step-by-step explanation:
that is 24 in scientific notation
Answer:
24 * 10^1
Step-by-step explanation:
Hope this helps. :)
Find a number that would make the equation true: 15 + _ = -15
Answer:
15 + _ = -15
15 + 15 = _
- 30 = _
- 30 is the answer.
Which equation in standard form has a graph that passes through the point (5, −2) and has a slope of 72 ?
A. 7x − 2y = 35
A. 7x − 2y = 35
B. 7x − 2y = 39
B. 7x − 2y = 39
C. 7x − 2y = −31
C. 7x − 2y = −31
D. 7x − 2y = −24
D. 7x − 2y = −24
Given:
Consider the graph passes through the point (5, −2) and has a slope of \(\dfrac{7}{2}\).
To find:
The equation of graph in standard form.
Solution:
Point slope form of a line is
\(y-y_1=m(x-x_1)\)
where, m is slope and \((x_1,y_1)\) is the point lies on the line.
Slope is \(\dfrac{7}{2}\) and graph passes through (5,-2), so the equation of line is
\(y-(-2)=\dfrac{7}{2}(x-5)\)
\(y+2=\dfrac{7}{2}(x-5)\)
Multiply both sides by 2.
\(2(y+2)=7(x-5)\)
\(2y+4=7x-35\)
\(4+35=7x-2y\)
\(39=7x-2y\)
The required equation is \(7x-2y=39\).
Therefore, the correct option is B.
solve f = 2/t + 5 for T
Answer:
t=2/f-5
Step-by-step explanation:
2/t=f-5
or,2=(f-5)/t
t=2/(f-5)
Find the area (in cm) of the rectangle shown.
7
3
You will be answering by filling in the blanks. Please be aware that your answer must include any commas or
decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the
answer is $1,860.78, then you will enter into the blank 1,860.78. Do not place any extra spaces between numbers,
commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that
$986.526 would be ped into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,698.90.
10. If your realized income is $834.26/wk, what is the maximum amount that should be used for
fixed expenses per month?
S
(1 point)
The maximum amount that should be used for fixed expenses per month is $1,806.36/month.
What is maximum amount that should be used for fixed expenses?To find the maximum amount that should be used for fixed expenses per month, we need to first calculate the monthly income based on the weekly income provided.
We have are 52 weeks in a year, so the annual realized income is:
= $834.26/week / 52 week/year
= $43,352.52/year
To find the monthly income, we divide the annual income by 12:
= $43,352.52/year / 12 months/year
= $3,612.71/month
According to the given note, fixed expenses should not be more than 50% of the monthly income. Therefore, the maximum amount that should be used for fixed expenses per month is:
= 50% x $3,612.71/month
= $1,806.36/month
Note: The fixed expenses should not be more than 50% of the monthly income.
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Determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship.
your daily calorie intake and your GPA
The correlation between your daily calorie intake and your GPA is not likely to be immediately apparent, and it would require further investigation to determine whether there is a positive or negative correlation, or no linear relationship between the two variables.
It is difficult to predict the correlation between your daily calorie intake and your GPA as they are not obviously related variables. However, it is possible that there may be a weak or indirect relationship between the two variables.
If a person is consuming a well-balanced diet with the right amount of nutrients, vitamins, and minerals, they may have the energy and focus necessary to perform well academically. In this case, there may be a positive correlation between calorie intake and GPA. Alternatively, if a person is consuming an excessive amount of calories from unhealthy foods, they may be more likely to experience health problems that could impact their academic performance. In this case, there may be a negative correlation between calorie intake and GPA.
On the other hand, there may be no direct linear relationship between the two variables, and other factors such as sleep, stress, exercise, and overall health may have a greater impact on academic performance than daily calorie intake.
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stteps for solving 6(4x-3) are shown
which of these is not a part of the solution prosess
Answer:2 4 − 1 8
Step-by-step explanation: