The system of equations that is equivalent to the given function are 3x² - 4y² = 25 and 12x² - 4y² = 22 Option A is correct.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given the systems of equations;
3x² - 4y² = 25
6x² - 2y² = 11
From equation 2:
multiply it by 2
12x² - 4y² = 22
4y² = 12x² - 22
Substitute into equation 1 to have;
3x² - 12x² - 22 = 25
9x² = - 47
From the resulting equation, we can see that the system of equations that is equivalent to the given function are 3x² - 4y² = 25 and 12x² - 4y² = 22
Learn more on equations here:
brainly.com/question/13763238
#SPJ1
Answer:
A on Edge 23
Step-by-step explanation:
trust me bro
Lilly bought 4 pairs of blue jeans for $40. How much money did she pay the clerk for each pair of jeans?
$ -10
$ 10
$ -160
$ 160
Answer:
$10
Step-by-step explanation:
Answer:
10 in the answer
Step-by-step explanation:
10 is the answer
Which line has a negative slope?
Answer:
Line A
Step-by-step explanation:
Any line facing towards the left side of the coordinate plane will have a negative slope.
Line C is facing towards the right
Line D and B doesn't have a slope
A is the only right answer
[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]
\(\boxed{Question}\)
Determine the sample space, give a sample point, and find the number of possible outcomes of the following experiments:
1.Drawing a vowel in an English Alphabet.
2. Learning the Primary colors.
3. Choosing an odd numbers from 1 to 11.
[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]=[]
The sample space and number of possible outcomes are:
1) Sample space = {a, e, i, o, u}
Number of possible outcomes of drawing a vowel = 5 outcomes
2) Sample space = {Red, Yellow, Blue}
Number of possible outcomes = 3
3) Sample space = {1, 3, 5, 7, 9, 11}
Number of possible outcomes = 6
How to find the sample space?A sample space is a collection or set of possible outcomes from a random experiment. The sample chamber is denoted by the symbol 'S'. A subset of the possible outcomes of an experiment are called events. A sample room can contain a set of results according to an experiment.
1) There are a total of 5 vowels in the English alphabets out of a total of 26 alphabets and as such:
Sample space = {a, e, i, o, u}
Number of possible outcomes of drawing a vowel = 5 outcomes
2) The primary colors are namely: Red, Yellow, Blue
Thus:
Sample space = {Red, Yellow, Blue}
Number of possible outcomes = 3
3) There 11 digits from 1 to 11 and a total of 6 odd numbers.
Sample space = {1, 3, 5, 7, 9, 11}
Number of possible outcomes = 6
Read more about Sample Space at: https://brainly.com/question/2117233
#SPJ1
what is 35/17 as a decimal rounded to the nearest hundredth
Answer:
Step-by-step explanation:
2.06
Answer:
35/17 = 2.06 (to the nearest hundredth)
Mr. A sold his land to Mr.B at a profit of 10%. Mr.B. sold it to Mr.C at a gain of 5%. Mr.C.paid N1240 more for the house than Mr. A paid. What did Mr. A paid.
Answer:
Mr. A initially paid approximately N8000 for the land.
Step-by-step explanation:
Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.
Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.
Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.
Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240
Step 5: Simplifying the equation: 1.155x - x = N1240
Step 6: Solving for x: 0.155x = N1240
x = N1240 / 0.155
x ≈ N8000
Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.
The school's copier can
make 30 copies in 12a
minute. How many
copies can it make in 18
minutes?
Answer: 45 copies in 18 minutes
Step-by-step explanation:
i figured it out ;)
Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away. Zhang leaves the store when aaron starts riding his bike, and he rides his bike toward aaron along the same road at 2 mi/h. How many hours will pass before they meet?.
2 hours will pass before they meet.
"Information available from the question"
In the question:
Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away.
Zhang leaves the store when Aaron starts riding his bike, and he rides his bike toward Aaron along the same road at 2 mi/h.
Now, According to the question:
Total distance = 20mi
Aaron starts riding a bike at a rate of = 3mi/h
Zhang rides his bike toward Aaron along the same road at = 2mi/h
Let y be the number of hours for them to meet.
The expression is given as
3y + 2y = 20
solving for y, we have
5y = 20
y = 20/5
y = 4hrs
Therefore, 2 hours will pass before they meet.
Learn more about Expression at:
https://brainly.com/question/29006913
#SPJ4
for a perfectly symmetrical distribution with µ = 30, what is the mode?
In a perfectly symmetrical distribution with a mean (µ) of 30, there is no specific mode because all values occur with equal frequency.
In a perfectly symmetrical distribution, such as a symmetric bell-shaped curve or a uniform distribution, each value occurs with the same frequency. This means that there is no value that occurs more frequently than others, resulting in multiple modes or no mode at all.
The mode is typically used to identify the most common value in a dataset, but in a perfectly symmetrical distribution, all values have equal frequency, and there is no single mode. Instead, the distribution is characterized by its symmetry around the mean (µ). The mean represents the central tendency of the distribution, indicating the balance point of the data. In this case, with a mean of 30, the distribution is centered around this value, with equal numbers of observations on either side.
Learn more about mode here:
https://brainly.com/question/19435110
#SPJ11
URGENT!
Write the equation of the ellipse graphed below.
I already asked this question but still no answer, sadly.
\Answer:
\(\displaystyle \frac{(x-7)^2}{4}+\frac{(y+2)^2}{36}=1\)
Step-by-step explanation:
Equation of The Ellipse
Given the center (h,k) and the length of the major and minor axis, we can write the equation of the ellipse as follows:
\(\displaystyle \frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)
If the major axis is a, then the ellipse is horizontal, if the major axis is b, then the ellipse is vertical.
The ellipse shown in the figure is centered at (7,-2). The major axis is b and it can be found by measuring the distance from the center up or down to any vertex. We find b=6 and a=2.
Thus, the equation of the ellipse is:
\(\displaystyle \frac{(x-7)^2}{2^2}+\frac{(y+2)^2}{6^2}=1\)
Operating:
\(\mathbf{\displaystyle \frac{(x-7)^2}{4}+\frac{(y+2)^2}{36}=1}\)
An analog message x(t) that has the following samples [ 8.1, 7.2, 5.9, 2.4, 0.2, -1.4,-0.6, 0.4, 0.5, 0.9, -6.2, -3.7, -8.1, 2.1,and -5.1] volt. Find the PCM .quaternary codes. Note that the maximum range is (9) for unity step size [122, 121, 112, 102, 100, 021, 022, 100, 100, 100, 002, 012, 000, 102 and 010] O [112, 112, 211, 112, 010, 102, 201, 110, 110, 110, 220, 212, 220, 110 and 202] O [122, 112, 111, 210, 120, 010, 011, 122, 121, 122, 212, 110, 122, 011 and 021] O [310, 111, 121, 122, 120, 201, 000, 122, 122, 122, 211, 221, 112, 211 and 222] [333, 200, 100, 110, 123, 213, 011, 100, 100, 100, 120, 110, 222, 100 and 233] O [003, 102, 000, 011, 002, 101, 100, 100, 013, 013, 100, 101, 111, 112 and 120] [111, 112, 110, 112, 200, 020, 012, 101, 101, 101, 210, 222, 120, 112 and 021] O
The PCM quaternary codes for the given analog message samples are:
[122, 121, 112, 102, 100, 021, 022, 100, 100, 100, 002, 012, 000, 102, and 010]
To find the PCM (Pulse Code Modulation) quaternary codes for the given analog message samples, we need to quantize the samples using a unity step size. The maximum range is 9, so we'll divide the range into 4 equal intervals to represent the quaternary codes.
First, let's list the given analog message samples:
x(t) = [8.1, 7.2, 5.9, 2.4, 0.2, -1.4, -0.6, 0.4, 0.5, 0.9, -6.2, -3.7, -8.1, 2.1, and -5.1] volts
Next, we'll quantize each sample to the nearest value within the allowed range. Using the quaternary code notation [a, b, c, d]:
8.1 -> 9 -> 122
7.2 -> 7 -> 121
5.9 -> 6 -> 112
2.4 -> 2 -> 102
0.2 -> 0 -> 100
-1.4 -> -1 -> 021
-0.6 -> -1 -> 022
0.4 -> 0 -> 100
0.5 -> 0 -> 100
0.9 -> 0 -> 100
-6.2 -> -6 -> 002
-3.7 -> -4 -> 012
-8.1 -> -9 -> 000
2.1 -> 2 -> 102
-5.1 -> -5 -> 010
Therefore, the PCM quaternary codes for the given analog message samples are:
[122, 121, 112, 102, 100, 021, 022, 100, 100, 100, 002, 012, 000, 102, and 010]
To know more about PCM quaternary codes here
https://brainly.com/question/30481254
#SPJ4
What is
(0,4)
reflected
over the line
y=x?
The reflected over the line is = (4,0)
What is equations?There are many different ways to define an equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1.This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.hence, as y=x by taking the symmetry= (4,0)
learn more about equations click here:
brainly.com/question/25976025
#SPJ1
What are like terms
Answer:
like terms are siilar terms such as 6a and -7a would be like terms as well as 5 amd 3
Answer:
terms that are "like" each other. so 7x and 2x whould be like terms because they both have x and 3x and 10x would be like terms so like terms are numbers like have the same variable or look the sme
HELPPPPP PLEASE. PLEASE TELL ME THE BLANKS IN ORDER.
please help for points
Answer:
the answer is A
Step-by-step explanation:
did it not the long ago
a bacteria culture stars with 2 million bacteria and the population triples every 30 minutes. find the number of bacteria after 90 minutes.
Answer:
54 million
Step-by-step explanation:
You want the population after 90 minutes if it starts at 2 million and triples every 30 minutes.
TriplesAfter 30 minutes, the population is ...
3 × 2 million = 6 million
After another 30 minutes (60 minutes, total), the population is ...
3 × 6 million = 18 million
After a total of 90 minutes, the population has tripled again to ...
3 × 18 million = 54 million
The number after 90 minutes is about 54 million.
$54.25+55 cents equalssssssssssssssssss
Write equation of the line containing (6,3) and (4,1)
Group of answer choices
y = -1x + 5
y = 1x - 3
y = 1x + 5
y = -1x + 3
There are two ways to approach this.
The first is to just check with equation works with both points by plugging in x=6 and seeing if you get y=3, from the point (6,3), and then repeating that process with (4,1).
Checking (6,3) on y = -1x+5:
y = -1(6)+5 = -1 -> no good.
Checking (6,3) on y = x-3:
y = 6-3 = 3 -> check
Checking (6,3) on y = x+5:
y = 6+5 = 11 -> no good.
Checking (6,3) on y = -1x+3:
y = -1(6)+3 = -3 -> no good.
So that shows only y = 1x - 3 works, but you should still double check it works for (4,1).
The second option is to construct the equation, which is good to know, in case you don't have a list of equations to check.
For this, you need to calculate the slope, using \(m=\dfrac{y_2-y_1}{x_2-x_1}\), and then use that slope to find the y-intercept, (0,b).
Step 1: slope
\(m=\dfrac{1-3}{4-6} = \dfrac{-2}{-2} = 1\)
Step 2: find y-intercept
Start by setting up the slope-intercept form with the slope we just found and then plug in one of the points:
\(y=1x+b\), which becomes \(3 = 1(6)+b\) using (6,3).
Solving this for b, you find b=-3.
Step 3: put it all together:
m = 1 and b = -1 gives you
y = 1x -3
Both ways work and are valid. Context will indicate which one is best.
One of the team members convinced you to use Logistic Regression instead of Classification Tree. What argument did the team member use to change your mind
The argument used by the team member was that a single line is used to differentiate the space into two. This is will make the presentation more attractive. Even if there are higher-dimensional data the lines will generalize into planes and hyperplanes. So according to the team member, it would be better to use Logistic Regression.
When we use the classification tree presentation the data will be mixed up and will clash against each other. So using the Logistic Regression will be better as this divides the data set into two separate parts. So, if the data are not linearly separable then only we should use the Classification Method.
1. Learn more about Logistic Regression from here:
https://brainly.com/question/21344316
2. Learn more about Classification Tree from here:
https://brainly.com/question/16170403
#SPJ4
find the volume of a rectangle prism with length 11 m, width 7 m, and height 8 m.
ok
Volume of a rectangular prism = 11 x 7 x 8
= 616 m^3
Find the antiderivative F(x) of the function f(x) (Use C for the constant of the antiderivative:) f(x) = 2 csc(x) cot(*) sec(x) tan(x) F(x)
the antiderivative of the function f(x) = 2 csc(x) cot(x) sec(x) tan(x) is F(x) = 2x + C.
To find the antiderivative F(x) of the function f(x) = 2 csc(x) cot(x) sec(x) tan(x), we can simplify the expression and integrate each term individually.
We know that csc(x) = 1/sin(x), cot(x) = 1/tan(x), sec(x) = 1/cos(x), and tan(x) = sin(x)/cos(x).
Substituting these values into the expression:
f(x) = 2 * (1/sin(x)) * (1/tan(x)) * (1/cos(x)) * (sin(x)/cos(x))
= 2 * (1/sin(x)) * (1/(sin(x)/cos(x))) * (sin(x)/cos(x)) * (sin(x)/cos(x))
= 2 * (1/sin(x)) * (cos(x)/sin(x)) * (sin(x)/cos(x)) * (sin(x)/cos(x))
= 2 * 1
= 2
The antiderivative of a constant function is simply the constant multiplied by x. Therefore:
F(x) = 2x + C
where C represents the constant of the antiderivative.
to know more about function visit:
brainly.com/question/30721594
#SPJ11
QuestionReflect (4,5) in the x-axis followed by the y-axis. QuestionReflect (4,5) in the x-axis followed by the y-axis
The resulting reflection will be (4,-5) and will be followed by (-4,-5).
What is coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space. The ordinate is the distance of a point from the x-axis scaled with the y-axis. Coordinates are the abscissa and ordinate combined. A series of data indicating a precise position. On graphs, it is typically represented by a pair of numbers: the first number represents the distance along, while the second number represents the distance up or down. For instance, the point (12,5) is 12 units long and 5 units high.
Here,
given coordinates=(4,5)
Firstly, reflecting across x axis, point (x,y) turns to (x, -y).
=(4,-5)
Secondly, reflecting (x,-y) across y-axis, point (x,-y) turns to (-x,-y).
=(-4,-5)
The resultant reflection will lead (4,-5) followed by (-4,-5).
To know more about coordinates,
https://brainly.com/question/11453535
#SPJ4
______ receives about 65 percent of the federal funds that are transferred to state governments.
the Department of Education receives about 65 percent of the federal funds transferred to state governments.
First, you need to identify what type of information is being asked for in the question. In this case, the question is asking which department receives a certain percentage of federal funds transferred to state governments.
Next, you need to research the answer. You can find the answer to this question by looking at the U.S. Department of Education website or other reliable sources.
The answer is that the Department of Education receives about 65 percent of the federal funds transferred to state governments.
Learn more about percentage here
https://brainly.com/question/16797504
#SPJ4
a linear function goes through the points (-4,2) and (4,-4) . a second linear function is shown on the graph belowa.-2/5b.-4/3c.-5/2d.-3/4
Let:
\(m1=\frac{y2-y1}{x2-x1}=\frac{-4-2}{4-(-4)}=-\frac{6}{8}=-\frac{3}{4}\)\(m2=\frac{-1-1}{5-0}=-\frac{2}{5}\)the linear function goes through the points (-4,2) and (4,-4) has a slope of -3/4
and the linear function shown on the graph has a slope of -2/5
the linear function that goes through the points (-4,2) and (4,-4) has the larger slope
What is the slope of the non-vertical lines?
m= ???
The equation table below represents Lavaughn's earnings in dollars and
cents, y, for working a hours. Find the rate of change.
The rate of change is also known as the slope. The formula to find the slope of a line is (y2 - y1) / (x2 - x1).
You can use any two points, as long as both are on the line.
Point 1 = (2, 55)
Point 2 = (8, 220)
slope = (220 - 55) / (8 - 2)
slope = 165 / 6
slope = 55 / 2 = 27.5 / 1
Lavaughn earns $27.50 for working one hour.
Hope this helps!
help please thank you!!
Which of the following is NOT a voluntary response sample? Choose the correct answer below O A. A survey is taken at a mall by asking passersby if they will fill out the survey O B. A radio station asks for call-in responses to a question concerning city recycling OC. A local dentist asks her patients to fill out a questionnaire and mail it back to determine the quality of the care received during an office visit OD. Quiz scores from a college level statistics course are analyzed to determine student progress State whether the data described below are discrete or continuous, and explain why. The number of donations a charity receives each month Choose the correct answer below. O A. The data are discrete because the data can only take on specific values. O B. The data are continuous because the data can take on any value in an interval. O C. The data are continuous because the data can only take on specific values. D. The data are discrete because the data can take on any value in an interval. O
The correct answer for the first question is D. The data are discrete because the data can take on any value in an interval.
Quiz scores from a college level statistics course are analyzed to determine student progress. This is not a voluntary response sample because the students taking the quiz are required to participate, and their scores are collected for the purpose of analyzing their progress.
For the second question, the data described, which is the number of donations a charity receives each month, is discrete. Discrete data can only take on specific values and cannot be divided into smaller, meaningful intervals. In this case, the number of donations can only be whole numbers, such as 0, 1, 2, and so on. It cannot take on any value in an interval or be represented by fractions or decimals. Therefore, the data is discrete.
It is important to distinguish between discrete and continuous data when analyzing and interpreting data, as different statistical methods and techniques are used for each type. Discrete data is usually counted or measured in whole numbers, while continuous data can take on any value within a given range or interval.
Know more about discrete here,
https://brainly.com/question/30565766
#SPJ11
A bakery sold 2,070 loaves of whole-wheat bread in July. In all, the bakery sold 9,000 loaves of bread that month. What percent of the loaves of bread sold were whole-wheat?
Answer:
2070 / 6930 = 0.2987.....x 100 = 29.87%
anyone knows who Wilbur soot is?
if so whats your favorite song of his?
Answer:
internet ruined me
Step-by-step explanation:
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answer:
I believe that your answer is a
Step-by-step explanation:
I remember that the exponent would be multiplied by both sides.
Answer: A
Step-by-step explanation:
the answer is b because if you
multiply it inside and get the exponents the answer
so the answer is A
Hope this helps :)