Answer:
A (2,2) B (4, -2) C (-4,0)
Step-by-step explanation:
K = 2
K is the scale factor so the y and x distance between the points will double
just take to coordinates and multiply them by 2
A 1,1 new 2,2
B 2, -1 new 4,-2
C -2,0 new -4,0
Pls help...................
Given the two functions, which statement is true? f(x) = 3x, g(x) = 3x + 5 Question 12 options: g(x) is translated up 5 units compared to f(x) g(x) is translated left 5 units compared to f(x) g(x) is translated down 5 units compared to f(x) g(x) is translated right 5 units compared to f(x)
The correct statement is: g(x) is translated up 5 units compared to f(x).
The correct answer is A.
To determine the translation between the two functions, we can observe that the only difference between them is the constant term.In f(x) = 3x, there is no constant term, so the graph of f(x) passes through the origin (0, 0).In g(x) = 3x + 5, there is a constant term of 5 added to the function. This means that the graph of g(x) is shifted vertically upward by 5 units compared to the graph of f(x).Therefore, g(x) is translated up 5 units compared to f(x).The correct answer is A.
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A certificate of deposit offers a nominal interest rate of 2.5 percent annually.
If inflation is 1 percent, what is the real rate of return?
To solve this question, the real rate of return formula is used, and we apply the data given in the exercise into the formula to find the real rate of return.
Formula for the real rate of return:
\(R = \frac{1 + N}{1 + i} - 1\)
In which N is the nomial rate and i is the inflation rate, as decimals.
A certificate of deposit offers a nominal interest rate of 2.5 percent annually.
This means that \(N = 0.025\)
Inflation is 1 percent
This means that \(i = 0.01\)
What is the real rate of return:
Now we apply the formula:
\(R = \frac{1 + 0.025}{1 + 0.01} - 1\)
\(R = 1.0149 - 1\)
\(R = 0.0149\)
0.0149*100% = 1.49%
Thus, the real rate of return is of 1.49%.
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One of the zeros of the polynomial function is 3.
f(x)=x4−x3−7x2+x+6
What is the factored form of the function?
f(x)=(x−3)2(x+1)(x+2)
f(x)=(x−3)(x+1)(x−1)(x+2)
f(x)=(x−3)(x+1)(x+2)2
f(x)=(x−3)(x+1)2(x+2)
Answer:
f(x)=(x−3)(x+1)(x−1)(x+2)
Step-by-step explanation:
Assume that blood pressure readings are normally distributed with a mean of 117and a standard deviation of 6.4.If 64people are randomly selected, find the probability that their mean blood pressure will be less than 119.Round to four decimal places.
Answer:
0.9938
Step-by-step explanation:
We can find this probability using a test statistic.
The test statistic to use is the z-scores
Mathematically;
z-score = (x-mean)/SD/√n
from the question, x = 119 , mean = 117 , SD = 6.4 and n = 64
Plugging these values in the z-score equation above, we have;
z-score = (119-117)/6.4/√64
z-score = 2/6.4/8
z-score = 2.5
The probability we want to find is;
P(z < 2.5)
we can get this value from the standard normal distribution table
Thus; P(z < 2.5) = 0.99379
Which to four decimal places = 0.9938
help and dont make fun of me for not knowing this
Step-by-step explanation:
yes it is very simple question for me Kida
Elena wants to make a scaled drawing of her bedroom. Her bedroom is a rectangle with length 500 cm.She decides on a scale of 1 to 50. Elenas bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed?
Answer:
Length = 200cm by 150cm
Step by step explanation:
Bringing it to actual measurements from the scale of 1 to 50, 3cm becomes 3 x 50 = 150 and 4cm becomes 4 x 50 = 200
Write and solve an inequality to find the possible values of x.
The inequality tha calculates the possible values of x is x < 2
How to determine the inequality tha calculates xFrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
3x + 2 < 10
And, we have
2x + 6 < 10
Evaluate the expressions
So, we have
3x < 8 and 2x < 4
Evaluate
x < 8/3 and x < 2
Hence, the inequality tha calculates x is x < 2
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Why do we study statistics?
A. Because technological advances have introduced massive amounts of data into the world
B. Because statistics can be applied to every field of study
C. Because many of the statistical stories told in the media are misleading
D. All of the above
help me please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please
Answer:
B. Because statistics can be applied to every field of study
sketch the graph of the function y = √(x+3)\(y = \sqrt{x + 3} \)
Explanation:
To sketch the graph, we need to find the coordinates (x, y) of points that belong to the graph.
So, we will give values to x and then calculated y.
If x = -3, then:
\(\begin{gathered} y=\sqrt[]{x+3} \\ y=\sqrt[]{-3+3} \\ y=\sqrt[]{0}=0 \end{gathered}\)If x = 1, then:
\(\begin{gathered} y=\sqrt[]{1+3} \\ y=\sqrt[]{4} \\ y=2 \end{gathered}\)If x = 6, then:
\(\begin{gathered} y=\sqrt[]{6+3} \\ y=\sqrt[]{9} \\ y=3 \end{gathered}\)Answer:
Therefore, we have the points (-3, 0), (1, 2), and (6, 3) to sketch the graph as:
If you are 48 Inches how tall are you in cm? round to the nearest tenths 1in=2.54 cm
Answer: 121.9
Step-by-step explanation:
2.54 × 48 is 121.92
Answer: 121.9
Step-by-step explanation: 48×2.54=121.
Solve 4.62 + (−12.3).
Answer:
= - 7.68 I hope this helped you.
will mark brainleist pls help
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
1. The wolves were either howling of growling. If the ratio of the number of howlers to the number of growlers was 8 to 3 and
Observed, how many were growling?
The number of Wolves are growling is in multiple of 3.
What is the ratio?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.
Given The wolves were either howling of growling,
and ratio of the number of howlers to the number of growlers is
8:3 = 8/3
since the ratio tells about the total number of wolves either howling of growling,
let total Wolves be y
so y = 8x + 3x
where x is the common multiple for both,
so growling wolves are in multiple of 3.
Hence growling wolves are in multiple of 3.
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Help Enter a recursive rule and an explicit rule for each geometric sequence.
The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1
How to determine the ruleThe recursive rule
From the question, we have the following parameters that can be used in our computation:
The table
The table definitions imply that we simply multiply 2 to the previous term to get the current term
This means that
f(n) = f(n - 1) * 2
Where
f(1) = 9
The explicit rule
The table definitions imply that we simply multiply 2 to the previous term to get the current term
a = 9
r = 2
So we have
f(n) = a * r^n-1
This gives
f(n) = 9(2)^n-1
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Describe the end behavior for the graph of y=-x³- ax + 3, if a is a constant.
Answer: Choice C
As \(\text{x} \to \infty\) then \(\text{y} \to -\infty\)
As \(\text{x} \to -\infty\) then \(\text{y} \to \infty\)
Check out the diagram below.
========================================================
Explanation:
The leading term is the term with the largest exponent. That would be the term of \(-\text{x}^3\). The leading term directly determines the end behavior. The other terms will not play a role.
What this means is that the end behavior of \(\text{y} = -\text{x}^3 - \text{ax} + 3\) is the exact same as the end behavior of \(\text{y} = -\text{x}^3\)
As x gets really big in the positive direction, we'll have \(-\text{x}^3\) get really small in the negative direction. For instance, x = 10 leads to \(-\text{x}^3 = -10^3 = -1000\) and x = 100 leads to \(-\text{x}^3 = -100^3 = -1,000,000\)
Therefore, as \(\text{x} \to \infty\) then \(\text{y} \to -\infty\)
Visually the graph goes forever downward when we move to the right. We can consider this as "falls to the right".
--------------------------------
The graph "rises to the left" because as \(\text{x} \to -\infty\) then \(\text{y} \to \infty\)
Here's a small table to give numeric examples:
\(\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}-1 & 1\\\cline{1-2}-10 & 1000\\\cline{1-2}-100 & 1,000,000\\\cline{1-2}\end{array}\)
As x gets more negative, y becomes more positive. We have this opposite nature going on similar to the previous section.
This graph goes uphill when moving to the left.
Check out the graph below. In the diagram I used a = 2, but you could use any value of 'a' you want to get the same end behavior.
y = 2x + 1
2x - y=3
Solve by substitution
Answer:
there is no solution
Step-by-step explanation:
y = 2x + 1
put into other equation
2x - 2x + 1 = 3
0x + 1 = 3
0x = 2
0/0x = 2/0
x = undefined
Which property would be used first to make the following problem easier to work? 2/3 x (3/2 x 5) associative property of multiplication multiplicative property o commutative property of multiplication distributive property
Answer:
5
can be done by multiplication multiplicative property
Step-by-step explanation:
2/3 * (3/2 * 5)
1st = 2/3 * 3/2 * 5
2nd = 2 * 3 * 5
3 * 2
3rd = 3 * 5
3
therefore
the answer = 5
Answer:
\(\Large \boxed{\mathrm{associative \ property \ of \ multiplication}}\)
\(\rule[225]{225}{2}\)
Step-by-step explanation:
The associative property of multiplication can be use to make the problem easier to solve.
In associative property of multiplication, when we multiply a bunch of numbers, we can group the numbers in any combination.
\(a \times (b \times c) = (a \times b) \times c\)
\(\rule[225]{225}{2}\)
A cylinder, cone, and sphere all have the same radius of 5 cm. The cone and cylinder have the
same height of 6 cm.
Find the volume of each shape. Show your work or explain your work.
Which shape would hold them most?
The volume of the cylinder is 471.43 cm³.
The volume of the cone is 157.14 cm³.
The volume of the sphere is 523.81 cm³.
The shape that would hold the most volume is the sphere.
What is the volume of a cylinder?A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = πr²h
Where:
π = 22/7
r = radius
22/7 x 5² x 6 = 471.43 cm³
What is the volume of a cone?Volume of a cone = 1/3 x volume of a cylinder
1/3 x 471.43 cm³ = 157.14 cm³
What is the volume of a sphere?
Volume of a sphere = 4/3 x pi x r³
4/3 x 5³ x 22/7 = 523.81 cm³
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Square Root Equation! HELP ME!!!!
Do not scam or false answers.
Johannes needs to buy replacement team uniform
Answer:
D.
Step-by-step explanation:
A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep deprivation. What size sample should be obtained in order to be 99 % confident that the sample proportion will not differ from the true proportion by more than 4%? Round up to the nearest whole number.
The sample size needed to be 99% confident that the sample proportion will not differ from the true proportion by more than 4% is given as follows:
n = 1037.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The margin of error is given as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.
As we have no estimate, the parameter is given as follows:
\(\pi = 0.5\)
Then the sample size for M = 0.04 is obtained as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)
\(0.04\sqrt{n} = 2.575 \times 0.5\)
\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)
\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)
n = 1037.
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Truck cost 4000 dollars. It depreciates at a rate of 12%. What is the value after 6 months
5x - 3.3 = 7.2
What is the solution to the
equation?
A. X = 2.1
B. X = 5
C. X = 0.65
D. Not Here
Answer:
A
Step-by-step explanation:
5x=10.5
x=2.1
Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4
sodas for $8.50. How much would an order of slice of cheese pizza and 3 sodas cost? 3
O $3.25
• $5.25
• $7.75
• $17.25
Cost of 1 slice of pizza and 3 sodas = $5.25
What is Linear Programming?When the requirements of a mathematical model are represented by linear relationships, the best result can be obtained using a technique known as linear programming (LP), also known as linear optimization. A particular type of mathematical programming is linear programming. Formally speaking, linear programming is a method for optimising a linear objective function under the constraints of linear equality as well as linear inequality. Convex polytopes, a set defined as that of the intersection of a finite number of half spaces, which are defined by a linear inequality, make up its feasible region. A real-valued affine (linear) function defined on the this polyhedron serves as its objective function. If there is a point in the polytope in which this function does have the smallest (or largest) value, a linear programming algorithm locates it.
Let the cost of 1 slice of pizza be x and cost of 1 soda be y.
Now,
Richard bought 3 slices of pizza and 2 sodas for $8.75
Therefore, \(3x+2y=8.75\)
Jordan bought 2 slices of pizza and 4 sodas for $8.50
Therefore, \(2x+4y=8.50\)
Solving above equations, we get \(x=2.25\) and \(y= 1\).
Cost of 1 slice of pizza and 3 sodas = 2.25 + 3*1
= 2.25 + 3
= 5.25
Hence, Cost of 1 slice of pizza and 3 sodas = $5.25
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The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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The results of a survey indicate that between 76% and 84% of season ticket holders are satisfied with their seat locations. What is the surveys margin of error?
The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The margin of error of the survey will be ±4%.
What is the margin of error?
Margin of error tells you how many percentage points your results will differ from the real population value. It is denoted as a tiny percentage allowed for in case of miscalculation.
The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations. Therefore, the margin of error can be written as,
Margin of Error = (84%-76%)/2 = 8%/2 = ±4%
Hence, the margin of error of the survey will be ±4%.
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U^3+3u^2-6 / u-6 long division
Given the expression:
\(\frac{u^3+3u^2-6}{u-6}\)We use the long-division method to find the quotient and the rest:
Then, the quotient Q(u) and the remainder R(u) are:
\(\begin{gathered} Q(u)=u^2+9u+54 \\ \\ R\left(u\right)=318 \end{gathered}\)Suppose that the matrix A has repeated eigenvalue with the following eigenvector and generalized eigenvector: A = 1 with eigenvector = [] and generalized eigenvector - [1-3]. Write the solution to the linear system' = Ar in the following forms. A. In eigenvalue/eigenvector form: [x(t)] = C1 [8] 248-89 + e B. In fundamental matrix form: [x(t)] [y(t)] [188 C. As two equations: (write "c1" and "c2" for c₁ and c₂) x(t) = y(t) = Note: if you are feeling adventurous you could use other eigenvectors like 47 and other generalized eigenvectors like - 37. Just remember that if you change , you must also change for its fundamental solution!
The solution for the linear system will be , x(t) = 4 c₁e^t + 4 c₂e^t and
y(t) = -c₂e^t + c₂(1 - t)e^t .
The solution is given by ,
matrix | x y | = c₁ .v . e^λt + c₂( w + v.t ) e^λt
Given that the matrix has repeated eigenvalue with eigenvector generalized vectors ,
λ = 1 with eigenvector v = [ 4 , -1 ] and generalized vectors w =[ 0,1 ].
then the solution will be,
c₁ [ 4 , 1 ] e^t + c₂[ 0 , 1] + [ 4 , -1 ] )e^t
therefore,
x(t) = 4 c₁e^t + 4 c₂e^t
y(t) = -c₂e^t + c₂(1 - t)e^t
Matrixes represent linear maps and allow for explicit linear algebra operations. As a result, matrices play an important role in linear algebra, and most characteristics and operations in abstract linear algebra may be represented in terms of matrices.
Matrix multiplication, for example, depicts the combination of linear maps.
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I don’t understand this paper and our sub has no idea, nor the other students so if someone could help me, that would be great.
By Angle-Angle theorem similarity ΔABC is similar to ΔA'B'C'.
Given two triangles are ABC and A'B'C'.
What is a dilation?Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.
1) Triangle ABC is reduced to triangle A'B'C'
∠ABC=∠A'B'C'=90°
∠BAC=∠B'A'C'
So, by AA similarity
ΔABC≈ΔA'B'C'
2) Triangle ABC is enlarged to triangle A'B'C'
∠ABC=∠A'B'C'
∠BAC=∠B'A'C'
So, by AA similarity
ΔABC≈ΔA'B'C'
Therefore, by Angle-Angle theorem similarity ΔABC is similar to ΔA'B'C'.
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