The graph of the rational function y = (-3x + 5) / (-5x + 2) can be obtained by analyzing its behavior as x approaches different values.
How to draw a graph?
First, we can find the vertical asymptote(s) of the function by setting the denominator equal to zero and solving for x:
-5x + 2 = 0
x = 2/5
Therefore, the vertical asymptote is x = 2/5.
Next, we can find the horizontal asymptote of the function by looking at the degrees of the numerator and denominator. Since the degree of the numerator (-3x + 5) is less than the degree of the denominator (-5x + 2), the horizontal asymptote is y = 0.
Finally, we can plot some points to get an idea of the shape of the graph. For example, when x = 0, we have:
y = (-3(0) + 5) / (-5(0) + 2) = 5/2
So the point (0, 5/2) is on the graph.
Similarly, when x = 1, we have:
y = (-3(1) + 5) / (-5(1) + 2) = 8/-3
So the point (1, -8/3) is on the graph.
By plotting additional points and using the information about the asymptotes, we can sketch the graph of the rational function as shown below:
Graph of y = (-3x + 5) / (-5x + 2)
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Luis uses beads to make key chains. Each key chain uses 7 beads. He has 44 beads.
Part A
How many key chains can Luis make? Enter your answer in the box.
key chains
Part B
How many beads will be left over? Enter your answer in the box.
beads
Answer:
A - 6
B - 2
Step-by-step explanation:
Answer:
Part A = 6 and Part B = 2
Step-by-step explanation:
7*6= 42
and 44-42
is = 2
Find the area of one of the parallelograms in the quilt pattern shown.
During which phase of the systems life cycle are users trained to use the new system?
Answer:
Step-by-step explanation:
The phase of the systems life cycle during which users are trained to use the new system is called the implementation phase. In this phase, the new system is installed and made operational, and users are trained on how to use it effectively. This phase typically follows the design and development phases and precedes the maintenance phase.
What is the main focus of the implementation phase in the systems life cycle?
The main focus of the implementation phase is training users to use the new system effectively. This includes installing the system and making it operational, as well as providing necessary support and training to ensure users are able to utilize the system efficiently.
The phase of the systems life cycle during which users are trained to use the new system is the implementation phase. This is the phase where the new system is actually implemented and made available for use by the users. It is important to provide training to users during this phase so that they are able to effectively use the new system and understand its functionality.
Therefore, users are trained to use the new system during the implementation phase.
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The implementation phase of the systems life cycle is the time when users are taught how to utilize the new system.
The new system is installed, made operational, and users are instructed on how to utilize it efficiently during the implementation phase. In most cases, this phase comes after the design and development phases and comes before the maintenance period.
Why is user training important during the implementation phase of the systems life cycle?
User training is important during the implementation phase of the systems life cycle because it ensures that users are able to effectively use the new system and understand how it works. This is essential for the successful adoption and utilization of the system by the organization. Without proper training, users may struggle to use the system effectively, leading to reduced productivity and potentially even causing issues with data accuracy and integrity. By providing thorough user training, organizations can ensure that their employees are able to use the new system efficiently and effectively, leading to a successful implementation.
The implementation phase of the systems life cycle is the time when users are taught how to utilise the new system. In this stage, the new system is really put into use and made accessible to users. During this stage, it's crucial to give users training so they can utilize the new system correctly and comprehend its functions.
Therefore, during the implementation phase, users are instructed on how to utilize the new system.
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What number is 0.5% of 30?
Answer:
0.15
Step-by-step explanation:
Multiply 30 by 0.005 to get the number which is 0.15 in which 0.15 is 0.5% of 30.
23 lbs of onions cost $46. How many lbs of onions can you get with $30 ?
Answer:
15 lbs of onions.
Step-by-step explanation:
23 lbs divided by $46 = 0.5 lbs per $1
0.5 lbs times $30
15 lbs
Which statement about x > 6 is true?
Answer:
x>6 = x is greater than 6
x>6 = 6 is less than x
x>6 = x is to the right of 6 on a number line (Vertical above x)
x>6 = 6 is to the left of x on a number line (Vertical below x)
x>6 = What else is there? If you guys can find anymore, answer in the comments.
Step-by-step explanation:
Please give me the options next time. I hope this helps you!
Answer:
Step-by-step explanation:
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Jermaine earned $2000 during the summer. He plans to put the money in a
savings account and leave it for 40 years. The account will earn 9% simple
interest annually. What will the balance be after 40 years?
Please help!! This is a test and I need a good grade!!
Answer:9200
Step-by-step explanation: .09 * 2000 = 180 * 40 = 7200 + 2000 = 9200
Balance amount in Jermaine account after 40 years is equals to $9200.
What is simple interest?" Simple interest is the process of calculating amount of interest given on the principal amount at the rate of interest over period of time."
Formula used
S.I. = = (P × R × T) / 100
S.I.= Simple Interest
P = Principal amount
R = Rate of interest
T = Time
Total amount = P + S.I.
According to the question,
Given
P = $2000
R = 9%
T = 40 years
Substitute the given values in the formula we have,
Simple Interest = (2000 × 9 × 40) / 100
= $7200
Total balance amount after 40 years = $2000 + $ 7200
= $9200
Hence, balance amount after 40 years is equals to $9200.
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An item sells for $75 and is on sale for 35% off. The sales tax is 9.8%. What is the final cost of the item?
The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.
The given problem is related to percentage discounts and sales tax and can be solved using the following steps:
Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25
Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75
Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79
Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.
Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54
Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!
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5 What is the perimeter? use 3,14
(4pts.)
for pi.
bun
Ilin
What is the total area? use 3.14 for pi.
Show ur work 30 points
Answer:
I don't understand the instructions, but I'll answer the question in the picture.
The angle next to 52 is vertical to y, so, 90-52=y.
Thus, y=38
Find the length of y
Answer:
From SOHCAHTOA
Cos17=73/y
y=73/cos17
y=76.34cm
Option B
A swimming pool is draining at a constant rate. The table shows the proportional relationship between the change in the water level and the number of hours the pool is draining. Find the constant of proportionality. Then find the change in the water level at 9 hours and at 23 hours of draining.
Draining Swimming Pool
Hours Draining
Change in Water Level (in.)
2
3.5
9
?
17
29.75
23
?
The swimming pool is draining at a rate of
nothing inches per hour.
(Type an integer or a decimal.)
Enter your answer in the answer box and then click Check Answer.
Answer:
first answer:-1.75
second:-15.75
third:-40.25
Step-by-step explanation:i am too lazy srry
Ten lampposts are equally spaced along a straight line. The distance between two consecutive lampposts is 40 meters. What is the distance between the third and the eight lampposts?
The distance between the 3rd lamppost and 8 th lamppost is 100 meters.
EXPLANATION:
If the distance between 2 lampposts is 40 meters, you would divide the neters by 2. This would give you the answer of 20, meaning the distance between lampposts is 20 meters. So multiply 20 * 5 to get the distance between the third lampost and eight lamppost.
Find the total amount given the original price and tax rate. Round to the nearest hundredth if necessary. Original price: $123.28 Tax rate: 7.5%
7.5% = 0.075
0.075 x 123.28 = 9.246
So, the tax will be $9.20.
Total cost would be $132.48.
How to factor a trinomial with a leading coefficient?.
Answer:
What is the factors of leading coefficient?
Each rational zero of a polynomial function with integer coefficients will be equal to a factor of the constant term divided by a factor of the leading coefficient. When the leading coefficient is 1, the possible rational zeros are the factors of the constant term.
Step-by-step explanation:
If f(x) = StartFraction x Over 2 EndFraction + 8, what is f(x) when x = 10?
4
9
13
36
Answer:
13
Step-by-step explanation:
test edge2020
Answer:
13
Step-by-step explanation:
x
what thereoms are necesary for ap calculus bc
There are several theorems that are necessary for AP Calculus BC including: Fundamental Theorem of Calculus, Mean Value Theorem, Intermediate Value Theorem, Extreme Value Theorem, and Rolle's Theorem.
Calculus is a branch of mathematics associated with the study of instantaneous rates of change (differential calculus) and the summation of infinitely smaller factors to calculate some whole (integral calculus). The theorems that are necessary for AP Calculus BC are:
1. The Fundamental Theorem of Calculus: This theorem relates the derivative and the integral of a function. It is used to calculate definite integrals and is a crucial part of calculus.
2. The Mean Value Theorem: This theorem states that if a function is continuous on a closed interval and differentiable on an open interval, then there exists a point in the interval where the derivative is equal to the average rate of change of the function over the interval.
3. The Intermediate Value Theorem: This theorem states that if a function is continuous on a closed interval, then it takes on every value between its minimum and maximum values on that interval.
4. The Extreme Value Theorem: This theorem states that if a function is continuous on a closed interval, then it has both a maximum and minimum value on that interval.
5. Rolle's Theorem: This theorem is a special case of the Mean Value Theorem and states that if a function is continuous on a closed interval, differentiable on an open interval, and has the same value at the endpoints of the interval, then there exists a point in the interval where the derivative is zero.
These theorems are essential for understanding and solving problems in AP Calculus BC.
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Sofia tem 52 triângulos retângulos isósceles iguais. Ela quer fazer quadrados usando alguns desses triângulos. Ela pode fazer quadrados de quantos tamanhos diferentes?
Answer:
Portanto, o Sofia pode fazer 6 tamanhos diferentes
Step-by-step explanation:
A fim de sermos capazes de determinar efetivamente quantos quadrados de diferentes tamanhos podem ser formados a partir do triângulo isósceles 52, resolvemos isso usando a fórmula
2 (n + 1) Onde n = 0 e todos os inteiros positivos
em outro para obter um tamanho diferente para os quadrados, temos que adicionar mais triângulos para aumentar o tamanho
a) quando n = 0
2 (0 + 1) = 2 × 1 = 2 triângulos isósceles iguais
A união de 2 triângulos isósceles forma um quadrado. Este é o primeiro quadrado
= 1 quadrado
b) quando n = 1
2 (1 + 1) = 2 × 2 = 4 triângulos isósceles iguais = 1 quadrado
c) quando n = 2
2 (2 + 1) = 2 × 3 = 6 triângulos isósceles iguais = 1 quadrado
d) quando n = 3
2 (3 + 1) = 2 × 4 = 8 triângulos isósceles iguais = 1 quadrado
e) quando n = 4
2 (4 + 1) = 2 × 5 = 10 triângulos isósceles iguais = 1 quadrado
f) quando n = 5
2 (5 + 1) = 2 × 6 = 12 triângulos isósceles iguais = 1 quadrado
Adicionamos o número total de triângulos usados
2 + 4 + 6 + 8 + 10 + 12 = 42 triângulos
42 triângulos de 52 triângulos formariam 6 quadrados com tamanhos diferentes
Vamos fazer mais um, onde n = 6
g) quando n = 6
2 (6 + 1) = 2 × 7 = 14 triângulos isósceles iguais = 1 quadrado
2 + 4 + 6 + 8 + 10 + 12 + 14 = 56 triângulos
Isso já excedeu o número dado de triângulos em questão.
Portanto, o Sofia pode fazer 6 tamanhos diferentes de quadrados usando 42 triângulos isósceles iguais
The systolic blood pressure for a certain group of people follows a normal distribution with = 120 and = 5.
What is the probability that a randomly selected person from the group will have a systolic blood pressure below 112?
The probability that a randomly selected person from the group will have a systolic blood pressure below 112 is 0.0548.
To find the probability that a randomly selected person from the group will have a systolic blood pressure below 112, we need to standardize the variable using the z-score formula:
z = (x - μ) /σ
where x is the value, we want to find the probability for, μ is the mean of the distribution, and σ is the standard deviation.
For this problem, we have:
z = (112 - 120) / 5 = -1.6
Now, we need to find the probability that Z (the standardized variable) is less than -1.6. We can do this by using a standard normal distribution table.
Using a standard normal distribution table, we find that the probability of Z being less than -1.6 is approximately 0.0548.
Therefore, the probability that a randomly selected person from the group will have a systolic blood pressure below 112 is approximately 0.0548 or 5.48%.
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Solve for x using the diagram below
Brainliest
X=45
Step-by-step explanation:
This is a 180 degree angel
180-45=135
Divide 135 by 3
135/3=45
2(45)+45=135
other side
45
135+45=180
Kim stands in a line of people. She is the 25th person counting from the front of the line. She is the 12th person counting from the rear. How many people are in the line
Kim stands in a line of people, being the 25th person counting from the front and the 12th person counting from the rear, there are total 34 people in the line.
To find the total number of people in the line, we can add the number of people in front of Kim and the number of people behind Kim, then subtract one to account for Kim herself.
At the front of the line, there are 24 people in front of Kim (since she is the 25th person counting from the front). From the rear of the line, there are 11 people behind Kim (since she is the 12th person counting from the rear).
To find the total number of people in the line, we can add these two numbers:
24 (people in front of Kim) + 11 (people behind Kim) = 35
However, we need to subtract one to account for Kim herself. Therefore, the total number of people in the line is 35 - 1 = 34.
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in hypothesis testing,the assumption(s) for the z test for a mean when the σ is known
The assumption for the z test for a mean when the population standard deviation is known is random sampling from a normally distributed population.
In hypothesis testing, the z test for a mean is used when the population standard deviation is known. The assumptions for this test include:
Random Sampling: The sample is randomly selected from the population. This ensures that the sample is representative of the population and helps to generalize the findings to the entire population.
Normal Distribution: The population from which the sample is drawn follows a normal distribution. This assumption is important because the z test relies on the properties of the standard normal distribution.
Independent Observations: The observations in the sample are independent of each other. This means that the value of one observation does not influence or depend on the value of another observation.
By assuming these conditions, the z test can be used to calculate the test statistic and determine the statistical significance of the sample mean compared to the hypothesized population mean.
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Which Venn diagram is NOT correct? (Geometry Multiple CHoice)
Answer:
option D is the correct answer of this question .
plz mark my answer as brainlist plzzzz.
The number of defectives in 10 different samples of 100 observations each is the following: 1, 2, 1, 0, 2, 3, 1, 4, 2, 1. What is the estimate of the population proportion of defectives? A. . 017 B. . 17 C. . 016 D. . 16 18
The estimate of the population proportion of defective in 10 different samples of 100 observations is A) 0.017
The estimate of the population proportion of defectives can be calculated as the sum of the number of defectives in all the samples divided by the total number of observations.
In this case, the number of defectives is 1 + 2 + 1 + 0 + 2 + 3 + 1 + 4 + 2 + 1 = 17, and the total number of observations is 10 * 100 = 1000.
Therefore, the estimate of the population proportion of defectives is 17/1000 = 0.017.
So, the answer is A. 0.017.
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plz help me. thxs. brainliest who answers right
Answer:
12 cm
Step-by-step explanation:
8 divided by 4 is 2
6 x 2 = 12
answer please thank
Last year, Marshall withdrew $8,000 from his RRSP under the Lifelong Learning Program to fund a one-year program at a community college. This year, he worked full-time but, he would like to pursue a university degree beginning next year. Marshall is wondering whether he can participate in the LLP again next year. What statement is true?
a) Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.
b) Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf.
c) He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
d) He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.
Marshall is wondering whether he can participate in the LLP again next year. The statement that is true is "He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
The Lifelong Learning Plan is a program that helps Canadian residents finance their post-secondary education through their registered retirement savings plans (RRSP). If an individual is attending school full-time, they can withdraw up to $10,000 a year from their RRSP under the program, or up to $20,000 in total. There are certain rules that must be followed by an individual participating in the LLP. For example, withdrawals must be made within four years of enrolling in an eligible educational program, and repayments must begin within the same period.
Here are the statements: Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf. He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000. He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.The correct statement is: He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
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A snow globe is made out of regular right triangular prism that is inscribed in hemisphere with radius 12cm. help a designer to find the dimensions of maximum volume prison. state the exact answer.
Note: Find the dimensions of the prism for the case when the triangular base is on the grand circle of the hemisphere.
The maximum volume of the prism is 1728 cubic centimeters.
To find the dimensions of the prism with maximum volume, we need to consider the relationship between the volume of the prism and its dimensions.
Let's assume the base of the right triangular prism is an isosceles right triangle with legs of length 'a'. The height of the prism will be 'h'. The prism is inscribed in a hemisphere with a radius of 12 cm.
First, let's determine the relationship between 'a' and 'h'. Since the base of the prism is on the great circle of the hemisphere, the hypotenuse of the triangular base is equal to the diameter of the hemisphere, which is twice the radius. Therefore, the hypotenuse of the base is 2 * 12 = 24 cm.
By using the Pythagorean theorem, we can find 'a':
a^2 + a^2 = 24^2
2a^2 = 576
a^2 = 288
a = √288
Now, let's find the height 'h' of the prism. The height 'h' is equal to the radius of the hemisphere, which is 12 cm.
Therefore, the dimensions of the prism for maximum volume are:
Base length (a) = √288 cm
Height (h) = 12 cm
To find the maximum volume, we can use the formula for the volume of a right triangular prism:
Volume = (1/2) * a^2 * h
Substituting the values, we get:
Volume = (1/2) * (√288)^2 * 12
= (1/2) * 288 * 12
= 1728
Hence, the maximum volume of the prism is 1728 cubic centimeters.
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Is the following number rational or irrational? 3.14/5
Answer:
A rational number is a number that can be written in the form
p
q
, where
p
and
q
are integers and
q
≠
o
.
Triangle PQR has its vertices at the following coordinates:
P(5,-4) Q(3,-5) R(1,-1)
Give the coordinates of the image triangle P'Q'R' after a 90° counterclockwise
rotation about the origin.
Answer:
P'(4, 5) Q'(5, 3) R'(1, 1)
Step-by-step explanation:
When rotating a point 90 degrees counterclockwise about the origin our point T(x,y) becomes T'(-y,x).
A loan of $740 is taken out a daily interest of 0.66%. How much will it cost to pay off the loan after 57 days?
Answer:
$1,018.39
Step-by-step explanation:
Interest formula is I = Prt/100
where P = principal
r = interest rate (in percent)
t = number of time periods
Here we have P = 740
interest = 0.66% per day
t = 57 days
I = 740 x 0.66 x 57 /100 = 278.39 (rounded)
Total amount to pay back = 740 + 278.39 = $1,018.39