Respuesta:
El punto A(-3, 3) pertenece a la recta.
El punto B(0, -15) no pertence a la recta.
Explicación paso a paso:
Consideremos la siguiente ecuación de la recta en forma estandar.
-4x - y + 15 = 0
Para verificar si los puntos A y B pertencen a la recta, primero la transformaremos a la forma explícita.
-4x - y + 15 = 0
-4x + 15 = y
y = -4x + 15
El punto A(-3, 3), tiene coordenada x -3 y coordenada y 3. Reemplazaremos x en la ecuación de la recta y veremos si obtenemos el mismo valor de y.
y = -4(-3) + 15 = 3
El punto A(-3, 3) pertenece a la recta.
El punto B(0, -15), tiene coordenada x 0 y coordenada y -15. Reemplazaremos x en la ecuación de la recta y veremos si obtenemos el mismo valor de y.
y = -4(0) + 15 = 15
El punto B(0, -15) no pertence a la recta.
Estimate the line of best fit using two points on the line.
A. y= -3/2x + 12
B. y= 3/2x + 12
C. y= -2/3 + 12
D. y= 2/3 + 12
Answer:
?
Step-by-step explanation:
Answer: c
Step-by-step explanation:
A p e x
What are the coordinates of point S? On a coordinate plane, point S is 0.75 units to the left and 0.5 units up. (Negative three-fourths, one-half) (Negative one-half, negative three-fourths) (One-half, Negative three-fourths) (Three-fourths, one-half)
Answer:
The coordinates of S is \(( \frac{-3}{4}, \frac{1}{2})\)
Step-by-step explanation:
We are supposed to find the coordinates of point S
Point S is 0.75 units to the left
So, x coordinate of point S = -0.75 = \(\frac{-3}{4}\)
Now we are given that point S is 0.5 units up.
So, y coordinate of point S = 0.5 = \(\frac{1}{2}\)
So, The coordinates of S is \(( \frac{-3}{4}, \frac{1}{2})\)
So, Option A is true .
Answer:
A -3/4,1/2
Step-by-step explanation:
good luck:)
mean, median, mode, and range
23, 24, 24, 25, 26, 27, 28, 29, 30
Mean- 26.222222222222
Median- 26
Mode- 24
Range- 7
Hope this helped :D
Evaluate the expression when x = 6 and y = 2: 3x+4/y
22
11
8
18
Answer:
20
Step-by-step explanation:
3(6)+4/2
18+2
20
hope this helped
have a good day ^^
Simplify.√72+√32+√18
The simplified form of √72 + √32 + √18 is 10 + 3√2.
To simplify the expression √72 + √32 + √18, we need to simplify each square root separately and then combine like terms.
Step 1: Simplify √72:
We can break down 72 into its prime factors: 72 = 2 * 2 * 2 * 3 * 3. Using the property
√(a * b) = √a * √b, we have
√72 = √(2 * 2 * 2 * 3 * 3) = √(2² * 3²)
= 2 * 3
= 6.
Therefore, √72 simplifies to 6.
Step 2: Simplify √32:
We can break down 32 into its prime factors:
32 = 2 * 2 * 2 * 2 * 2. Using the same property as above, we have
√32 = √(2 * 2 * 2 * 2 * 2)
= √(2⁴)
= 2²
= 4.
Thus, √32 simplifies to 4.
Step 3: Simplify √18:
We can break down 18 into its prime factors:
18 = 2 * 3 * 3. Using the same property, we have
√18 = √(2 * 3 * 3)
= √(2 * 3²)
= √(2 * 3²)
= 3√2.
Step 4: Combine like terms:
Putting it all together,
√72 + √32 + √18
= 6 + 4 + 3√2
= 10 + 3√2.
Therefore, the simplified form of √72 + √32 + √18 is 10 + 3√2.
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Patrick usually drinks 90 ounces of water each day. On Saturday, he spent the day out on the boat so decided to drink 140 ounces of water. What is the percent increase
Answer:
5555.55556
Step-by-step explanation:
a% over 100 and 50 over 90
plete parts
a. Arrange the scores in order from least to greatest in the third trimester.
The scores from least to greatest is -8. -6, 4, 7
The absolute value of the scores from least to greatest is 4, 6, 7, 8
What is the order of the numbers?A negative number is a number that is less than zero. Negative numbers are denoted with a minus sign in front of the number. The further away from zero a negative number is, the smaller the number. Examples of negative numbers are -2, -9.
A positive number is a number that is greater than zero. The further away from zero a positive number is, the greater the number. Examples of negative numbers are 2, 9.
The scores from least to greatest is: -8. -6, 4, 7
The absolute value of a number is when the negative signs from the numbers are removed.
The absolute value of the scores from least to greatest is: 4, 6, 7, 8
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EASY POINTS, PLEASE HELP ASAP, WILL MARK FIRST ANSWER BRAINLESIT,
restaurant at the food court in a mall is offering a lunch special. The table shows the relationship between the number of side dishes and the total cost of the special.
Restaurant
Number of Side Dishes Total Cost
2 $8.50
4 $11.50
5 $13.00
8 $17.50
Which of the following graphs shows the relationship given in the table?
Answer: The last graph
Step-by-step explanation:
i did the test on flvs .
The last graph shows the relationship given in the table
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Slope = 11.50-8.5/4-2
=1.5
Let us take a point (5, 13), let us check this point which correctly matches the graph
Hence, the last graph shows the relationship given in the table
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What is the remainder when 2x^3−9x^2+11 is divided by x−6?
Answer:
119
Step-by-step explanation:
Given f(x) divided by (x - h) then the value of f(h) is the remainder, thus
f(6) = 2(6)³ - 9(6)² + 11
= 2(216) - 9(36) + 11
= 432 - 324 + 11
= 119 ← remainder
Represent each expression as a multiple of a sum of whole numbers with no common factor. 9 × (2 + 4 + 3) 4 × (4 + 7 + 12) 12 × (3 + 8 + 1) 14 × (9 + 2 + 1) 27 × (2 + 3 + 1) 22 × (4 + 3 + 1) (36 + 96 + 12) arrowRight (126 + 28 + 14) arrowRight (16 + 28 + 48) arrowRight (18 + 36 + 27) arrowRight (54 + 81 + 27) arrowRight (88 + 66 + 22) arrowRight
Answer:
(18 + 36 + 27) = 9 x (2+4+3)
(88 + 66 + 22) = 22 x (4+3+1)
(36 + 96 + 12) = 12 x (3+8+1)
(126 + 28 + 14) = 14 x (9+2+1)
(54 + 81 + 27) = 27 x (2+3+1)
(16 + 28 + 48) = 4 x (4+7+12)
Step-by-step explanation:
The equations in the solution represent each expression as a multiple of a sum of whole numbers with no common factor.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
As per the given question, the required solution would be as:
(18 + 36 + 27) = 9 × (2+4+3)
This equation represents each expression as a multiple of a sum of whole numbers with no common factor.
Similarly further equations like as :
(88 + 66 + 22) = 22 × (4+3+1)
(36 + 96 + 12) = 12 × (3+8+1)
(126 + 28 + 14) = 14 × (9+2+1)
(54 + 81 + 27) = 27 × (2+3+1)
(16 + 28 + 48) = 4 × (4+7+12)
Thus, the above equations represent each expression as a multiple of a sum of whole numbers with no common factor.
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a company's _______ function is the money generated by selling x units of its product. the difference between this function and the company's cost function is called its ________ function.
whats the missing side lengths!
Answer:
x = 3\(\sqrt{2}\) , y = \(\frac{3\sqrt{2} }{2}\)
Step-by-step explanation:
this is a 90- 45- 45 isosceles triangle with legs congruent , that is
y = \(\frac{3\sqrt{2} }{2}\)
using Pythagoras' identity in the right triangle
x² = ( \(\frac{3\sqrt{2} }{2}\) )² + y²
= ( \(\frac{3\sqrt{2} }{2}\) )² + ( \(\frac{3\sqrt{2} }{2}\) )² = 9 + 9 = 18 ( take square root of both sides )
x = \(\sqrt{18}\) = \(\sqrt{9(2)}\) = \(\sqrt{9}\) × \(\sqrt{2}\) = 3\(\sqrt{2}\)
What
is the difference between Variance and Standard Deviation?
Give
examples of how they are applied.
Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.
Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.
Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.
To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.
If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.
The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.
These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.
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Pleaseeee help meeeee
Answer:
x=-8
Step-by-step explanation:
1) remove the constant(number without variable) to do this, we must use the opposite operation(in our case, subtraction)
so
4x+1=-31
a) 4x+1-1=-31-1
4x=-32
b) remove the coefficient by doing the opposite operation(division in our case)
x=-8
find the value of each varible
Answer:
z = 66
y = 120
Step-by-step explanation:
First, we can solve for z because it is supplementary to 114°.
114° + z° = 180°
-114° -114°
z° = 66°
z = 66
Now, we can solve for y using the fact that the interior angles of a quadrilateral add to 360° (think about a rectangle: 4 x 90°).
We have to use the z value that we solved for earlier.
81° + 93° + y° + z° = 360°
↓ substituting in z-value
81° + 93° + y° + 66° = 360°
↓ combining like terms
240° + y° = 360°
-240° -240°
y° = 120°
y = 120
Carmela randomly selected 85 stamps from a stamp collection. Eleven of these were commemorative stamps.
What is the interval estimate for the proportion of commemorative stamps in the entire collection if the sampling method had a margin of error of ±0.035 ?
(0.075, 0.145)
(0.285, 0.355)
(0.082, 0.089)
(0.095, 0.165)
Answer:
(0.095, 0.165)
Step-by-step explanation:
Confidence interval :
Phat ± margin of error
Margin of Error = 0.035
Phat = x / n
Phat = 11 / 85 = 0.1294117
Hence,
Phat ± 0.035
Lower boundary = 0.1294117 - 0.035 = 0.0944
Upper boundary = 0.1294117 + 0.035 = 0.1644
(0.0944, 0.1644)
Answer:
The answer is (0.095, 0.165)
Step-by-step explanation:
I just took the test and got it right
Mario's Pizza delivers pizzas within a 10-mile radius of the restaurant. Their delivery times are Normally distributed with a mean delivery time of 30 minutes and a standard deviation of 10 minutes. Find the probability that a randomly selected customer will have to wait a) less than 25 minutes b) more than 38 minutes c) between 26 and 32 minutes
Answer:
a) 0.30854
b) 0.21186
c) 0.23468
Step-by-step explanation:
Mario's Pizza delivers pizzas within a 10-mile radius of the restaurant. Their delivery times are Normally distributed with a mean delivery time of 30 minutes and a standard deviation of 10 minutes.
We solve using z score formula.
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Find the probability that a randomly selected customer will have to wait
a) less than 25 minutes
for x < 25 minutes
z = 25 - 30/10
z = -0.5
Probability value from Z-Table:
P(x<25) = 0.30854
b) more than 38 minutes
For x > 38 minutes
z = 38 - 30/10
z = 0.8
Probability value from Z-Table:
P(x<38) = 0.78814
P(x>38) = 1 - P(x<38) = 0.21186
c) between 26 and 32 minutes
For x = 26 minutes
z = 26 - 30/10
z = -0.4
Probability value from Z-Table:
P(x = 26) = 0.34458
For x = 32 minutes
z = 32 - 30/10
z = 0.2
Probability value from Z-Table:
P(x = 32) = 0.57926
The probability that a randomly selected customer will have to wait between 26 and 32 minutes is calculated as:
P(x = 32) - P(x = 26)
= 0.57926 - 0.34458
= 0.23468
The Central Limit Theorem is important in Statistics because it allows us to use the normal distribution to make inferences concerning the population mean: O provided that the population from which the sample was drawn is normal and the sample size is reasonably large. O provided that the population size is reasonably large (whether the population distribution is known or not). O provided that the sample size is reasonably large (for any population). o provided that the population from which the sample was drawn is normal.
The correct statement is: provided that the sample size is reasonably large (for any population).
Why the statement provided that the sample size is reasonably large is correct?The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.
These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).
Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.
This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters
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Which points would be in the critical points of the following: (There is more than one correct answer)
(2, 0)
(0, 3)
(0, 2)
(3, 0)
(0, 0)
(5, 0)
Therefore, the point (0, 2) can be considered a critical point of the given information.
What is coordinates?In mathematics, coordinates are a set of numbers used to determine the position of a point on a particular plane or in space. The most common type of coordinate system is the Cartesian coordinate system, which uses a pair of numbers (x, y) to identify the position of a point in a 2-dimensional plane, and a set of three numbers (x, y, z) to identify the position of a point in a 3-dimensional space. Coordinates can also be used to describe the position and movement of objects in physics, engineering, and other fields.
Here,
None of the points (2, 0), (0, 3), (3, 0), (0, 0), and (5, 0) lie on the line passing through (0, 2) and (4, 0). However, the point (0, 2) lies on the y-axis, which is perpendicular to the line passing through (0, 2) and (4, 0).
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Simplify the expression \((2^{-2} * 5^{-5} )^{-4}\)
Answer:
\(2^8* 5^{20}\)
Step-by-step explanation:
Apply rule: \((a^c * b^d)^e=a^{ce} * b^{de}\)
\(2^{-2* -4}*5^{-5*-4}\)
\(2^8* 5^{20}\)
\(2^8* 5^{20}= 24,414,062,500,000,000\)
The points on this graph represent a relationship between
x
- and
y
-values. Which statement about the relationship is true?
Since the points on this graph represent a relationship between x- and y-values, the statement which is true about the relationship is that: 4. It cannot be proportional because a straight line through the points does not go through the origin.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
In Mathematics, the graph of any proportional relationship is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis (x-coordinate) increases or decreases, the values on the y-axis (y-coordinate) increases or decreases simultaneously.
In this context, we can reasonably infer and logically deduce that the relationship between x-values and y-values in this graph is not proportional.
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Complete Question:
The points on this graph represent a relationship between x- and y-values. Which statement about the relationship is true?
1. It must be proportional because the points lie on the same line.
2. It must be proportional because each time x increases by 2, y stays the same.
3. It cannot be proportional because the y-values are not whole numbers.
4. It cannot be proportional because a straight line through the points does not go through the origin.
Rahim bought a car for ₹ 4, 35,000, spent ₹ 55,000 on repairs and sold it for ₹ 5, 50,000. What is his profit?
Please answer and thank you
Introduction please
Answer:
Hello! I am a Percy Jackson fan.
60,000
Step-by-step explanation:
This is because 435000 + 55000 = 490000.
Then, subtract that from 550000.
Find the value of x in the triangle shown below.
Answer:
x=13
Step-by-step explanation:
Use Pythagorean theorem
a^2+b^2=c^2, where c is this case is your x.
5^2+12^2=c^2
169=c^2
c=13
Answer:
13
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
5^2+12^2=c^2
25+144=c^
169=c^2
13=c
Two angles are linear pair. If one angle measures 4x +3 and the other angle measures 2x + 21, find the measure of each angle.
Answer:
Step-by-step explanation:
4x + 3 + 2x + 21 = 180
6x + 24 = 180
6x = 156
x = 26
4(26) + 3 = 107
2(26) + 21 = 73
A pair of walkie-talkies has a 35-meter range. Anand's apartment is 18 meters
east and 19 meters north of Isaac's apartment. Isaac's apartment is at sea
level, while Anand's apartment is 7 meters above sea level. Can they use the
walkie-talkies to talk to each other from their apartments?
, because the distance between their apartments is square root meters, or to the nearest tenth, meters.
Yes, they can use the walkie-talkies to talk to each other.
The distance between them is given as 28.2 meters.
How to solve for the distance?The horizontal and vertical distances should be considered when calculating the distance between their apartments using the three-dimensional form of the Pythagorean theorem.
This comes out as \(\sqrt((18^2 + 19^2 + 7^2))\), which equals \(\sqrt(798)\) square root meters, or, to the nearest tenth, 28.2 meters.
Since this distance is less than the 35-meter range of the walkie-talkies, communication should be possible between the two apartments.
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Rosita is pulling marbles from a bag there 14 green and 6 orange marbles . She randomly pulls a marble reccords the color , and returns the marble to the bag . After doing 10 trails , she finds that she drew an orange marble 50 % of the time .
what kind of comparision can be made ?
The percent will likely decrease with more trials , or , The percent will likely stay the same with more trails , or , The percent will likely stay the increase with more trials .
Answer:
The percent will likely decrease with more trials
Step-by-step explanation:
The theoretical probability for orange marbles is
P(orange) = orange/total = 6/(6+14) = 6/20 = 3/10 = 30%
The more times the experiment is done, the closer we should come to the theoretical probability. Eventually we should come closer to 30%
What is the value of the circumference of a circle when the diameter is 18, what is the area?
Answer: 56.57
HOPE THIS HELPS
please help!! will give 20 points! thanks
Answer:
It would be the second one I think.
Step-by-step explanation:
To the nearest tenth, what is the value of x?
X
40°
53
50°
M
To the nearest tenth, x is 40.6 units. The measurement of the missing side length x of the right triangle.
Given information is:
Angle L = 40 degreeAngle M = 50 degreeHypotenuse = 53Adjacent to angle L = xRight angle triangle is 90 degree.The calculation:
It was apply on trigonometric ratio formula:
cosine = adjacent / hypotenuse
cos(40) = x / 53
x = cos(40) × 53
x = 40.6003
x = 40.6 units
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Guided Practice
Write an equation of the direct variation that includes the point (–8, 10).
A.
y= −4/5x
B.
y= 5/4x
C.
y= −5/4x
Answer:
C.
y= −5/4x
Step-by-step explanation:
Write an equation of the direct variation that includes the given point. (-8, 10)
1
first divide y by x to find the constant
2
Then write the equation using that constant. The constant can be written as a fraction or a decimal.
RESULT