The range of the given function is {y | -7 -1 0 9}
How to determine the range of the given function?The table of values is given as:
x -5 1 4 6
y 9 0 -7 -1
List out the y values
So, we have:
y 9 0 -7 -1
The y values represent the range
So, we have
Range = {y | 9 0 -7 -1}
Order from least to greatest
Range = {y | -7 -1 0 9}
Hence, the range of the given function is {y | -7 -1 0 9}
Read more about range at:
https://brainly.com/question/2264373
#SPJ1
How mant cups of yellow paint shod u mix with 1 cup of blue paint to make the same shade of green
A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6. Is the
relationship between x and y proportional?
Yes, because 3 is proportional to 6.
Yes, because 3 is proportional to 3 + 6.
It cannot be determined. At least one other point on the line is needed
to determine if x is proportional to y.
A
B
C
D It cannot be determined. At least two other points on the line are needed
to determine if x is proportional to y.
It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y
Given data ,
A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6
Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.
As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required
Hence , the equation of line is solved
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ1
The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?
Click pic to see whole problem
Answer:
Step-by-step explanation:
Solving systems of equations gives the points of intersection when the equations are graphed.
The answer is 3.
x = 4y + 3, 2x + y = -3
System of Equations
Answer:
(- 1, - 1 )
Step-by-step explanation:
Given the 2 equations
x = 4y + 3 → (1)
2x + y = - 3 → (2)
Substitute x = 4y + 3 into (2)
2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side
8y + 6 + y = - 3
9y + 6 = - 3 ( subtract 6 from both sides )
9y = - 9 ( divide both sides by 9 )
y = - 1
Substitute y = - 1 into (1) for corresponding value of x
x = 4(- 1) + 3 = - 4 + 3 = - 1
solution is (- 1, - 1 )
in general, the strictest standards with the lowest acceptable levels are the
Answer:
Step-by-step explanation:
are the what???
The x-values in the table for f(x) were multiplied by -1 to create the table for
g(x). What is the relationship between the graphs of the two functions?
f(x)
g(x)
Ń X
y
-2 -31
-1 0
1 2
2 33
X
2 -31
1 0
-1 2
-2 33
Answer:
suiuu
Step-by-step explanation:
2+(485+(8895)&74894
Write an algebraic expression for the verbal phrase. The quotient of 5 times
a number and 3.
Answer:
(5x)/3
Step-by-step explanation:
5 times a number is 5x.
Quotient means to divide, so the answer is (5x)/3.
Tell whether the system has one solution, infinitely many solutions, or no solution.
−x+6y=−4
4x−24y=16
Ecuaciones 6x+18=0 respuesta
Answer:
x=3
Step-by-step explanation:
6x+18=0
Subtract 18
6x=18
Divide by 6
x=3
Hope I helped, have a nice day :)
Represent geometrically √ on the number line
The resulting marks on the number line would represent the positions of the square roots of different numbers. The distance between each mark would correspond to the value of the square root.
To represent the square root (√) on a number line, we can mark the positions of the square root of different numbers.
Starting from the origin (0), we can mark the position of the square root of various positive numbers by measuring the distance from the origin based on their square root value. For example, the square root of 1 (√1) is 1, so we can mark a point at 1 unit away from the origin. Similarly, the square root of 4 (√4) is 2, so we can mark a point at 2 units away from the origin.
We can continue this process for other numbers, marking the positions of their square roots on the number line. For instance, the square root of 9 (√9) is 3, so we can mark a point at 3 units away from the origin.
The resulting marks on the number line would represent the positions of the square roots of different numbers. The distance between each mark would correspond to the value of the square root.
for such more question on distance
https://brainly.com/question/12356021
#SPJ8
In ΔRST, R = (5x+15) S = (6x+8) T = (4x+7) What is the value of x?
The value of x is 10°.
What is triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
Given:
In ΔRST, m ∠R = (5x+15), m ∠S = (6x+8), m ∠T = (4x+7)
Since the addition of three angles of triangle is 180 degrees.
So,
m ∠R + m ∠S + m ∠T = 180°
(5x + 15) + (6x + 8) + (4x + 7) = 180°
15x + 30 = 180°
15x = 180° - 30°
15x = 150°
x = 10°
Hence, the value of x is 10°.
To know more about triangle, click on the link
https://brainly.com/question/25215131
#SPJ1
A scale drawing for a 36.7-ft wide billboard is 0.51 ft wide. how many times bigger
is the billboard than the drawing?
Answer:
71.9607843
Step-by-step explanation:
Well the drawing is 36.7 ft and the billboard is 0.51 ft. So we just have to do some simple division 36.7/0.51 multiply both by 100 to get 3670/51 and that will lead you to 71.9607843 It's a weird number but i believe its correct! Hope this was helpful!
Put these in order from least to greatest. one being the least and four being the greatest.
Answer:
B as greatest, then C, then A, and then D.
Step-by-step explanation:
MARK AS BRAINLIEST PLZ!
What is the equation of the following line? Be sure to scroll down first to see all answer options
Answer:
YOU GOT THIS!!
………….. need help filling out
Answer:
dilation is size
Step-by-step explanation:
#6
Find the area of the sector formed by ZKJL. Round your
answer to the nearest hundredth.
M
9m
40°
Brevious
K
L
The areas of the small and large sectors are about
square meters, respectively.
3
C
&
3
square meters and
Area of small sector is 1620 square meters and Area of large sector is 12960 square meters
Area of sector = 1/2r²θ
r is the radius of the circle which is 9cm
The area of small and large sectors we have to find
Small sector has θ value of 40 degrees
and large sector has 320 degrees
Area of small sector = 1/2(9)²×40
=1/2×81×40
=1620 square meters
Area of large sector = 1/2(9)²×320
=81×160
=12960 square meters
Hence, area of small sector is 1620 square meters and Area of large sector is 12960 square meters
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ1
Help me with this please
The two pairs of Adjacent angles in the figure are:
∠1 and ∠3, ∠3 and ∠7.
The correct option is c.
In the given diagram with two intersecting lines and angles ∠1, ∠3, ∠5, and ∠7, the adjacent angle pairs are as follows:
Adjacent angles to ∠1:
∠1 and ∠5
∠1 and ∠3
Adjacent angles to ∠3:
∠3 and ∠1
∠3 and ∠7
Adjacent angles to ∠5:
∠5 and ∠1
∠5 and ∠7
Adjacent angles to ∠7:
∠7 and ∠3
∠7 and ∠5
Adjacent angles are angles that share a common side and a common vertex, where the vertex is the point of intersection between the two lines. In this case, the adjacent angle pairs can be identified based on their relationship to each angle (∠1, ∠3, ∠5, ∠7) and the intersecting lines.
from the given choices,
∠1 and ∠3, ∠3 and ∠7
To learn more about adjacent angles;
https://brainly.com/question/28271243
#SPJ1
PLEASE ASAP HELP WITH LETTER f
Find the value of x in the triangle shown below.
8
2
Answer?
What is the value of the expression 12 x (-1.6)
Answer: -19.2
Step-by-step explanation:
the total of two number is 146
one of the number is a multiple of 11
the other one is a multiple of 17, find the two numbers
The two amount of numbers are 11 and 135. 11 is a multiple of 11 and 135 is a multiple of 17. The sum of the two numbers is 146.
Step 1: One of the numbers is a multiple of 11
Let the number be 11x, where x is an integer
Step 2: The total of the two numbers is 146
Therefore, 11x + 17y = 146, where y is an integer
Step 3: Solve the equation
11x + 17y = 146
11x = 146 - 17y
x = (146 - 17y) / 11
Step 4: Find the two numbers
x = (146 - 17y) / 11
For y = 1, x = 11
Therefore, the two numbers are 11 and 17.
The two numbers that add up to 146 are 11 and 135. 11 is a multiple of 11, which means it is divisible by 11 without any remainder. 135 is a multiple of 17, which means it is divisible by 17 without any remainder. When these two numbers are added together, the sum is 146. This means that 11 and 135 are the two numbers that add up to 146. 11 is a multiple of 11 and 135 is a multiple of 17, which explains why the sum of the two numbers is 146. The two numbers together can be used to represent a variety of different mathematical equations, such as the addition of two integers or the multiplication of two fractions. Knowing the two numbers that add up to 146 can be useful in a variety of different scenarios, such as solving math problems or accounting for the total of two items.
Learn more about amount here
https://brainly.com/question/28970975
#SPJ4
The company ALTA Ltd issued a bank accepted bill to fund its working capital requirement. The bill is issued for 60 days, with a face value of $150,000 and a yield of 2.5% per annum to the original discounter. After 25 days, the bank bill is sold by the wwwwww original discounter into the secondary market for $138,222. The purchaser holds the bill to maturity. What is the yield received by the holder of the bill at the date of maturity?
the yield received by the holder of the bill at the date of maturity is approximately 10.15%.
To calculate the yield received by the holder of the bill at the date of maturity, we need to use the formula for yield to maturity. The formula is:
Yield to Maturity = (Face Value - Purchase Price) / Purchase Price * (365 / Days to Maturity)
In this case:
Face Value = $150,000
Purchase Price = $138,222
Days to Maturity = 60 - 25 = 35
these values in the formula, we can calculate the yield to maturity:
Yield to Maturity = ($150,000 - $138,222) / $138,222 * (365 / 35)
Yield to Maturity ≈ 0.1015 or 10.15%
Therefore, the yield received by the holder of the bill at the date of maturity is approximately 10.15%.
Learn more about such questions on yield here
brainly.com/question/27878436
#SPJ4
Classify the pair of angles. Then find the value of x
Answer:
Step-by-step explanation:
Vertically opposite angles
x = 113
Vertically opposite angles are congruent
Question Answer O A True O B False Question Answer O A True O B False Question Answer OA O B True False Using logarithmic differentiation we obtain that the derivative of the function y = x2x² satisfies the equation y = 4x log x + 2x. y Using logarithmic differentiation we obtain that the derivative of the function (1+x²)2 (1 + sin x)² y= 1-x² satisfies the equation 4x 2cos x 2x -= + y 1 + x² 1 + sin x 1-x² Given two complex numbers z=3-1 and w=3+ the product z2w equals 30-10%. Y'
In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.
In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.
In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².
In the third question, the product z²w is calculated correctly as 30-10%.
It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.
Learn more about Logarithmic differentiation: brainly.com/question/30881276
#SPJ11
Evaluate the expression when x=-3.
x^2+5x=-4
\((-3)^{2} + 5(-3) = - 4\\9 - 15 = - 4\\-6 \neq -4\)
This is not possible, as -6 is not equal to -4.
Austin recorded the weights, in pounds, of nine fish in an aquarium. The data is shown in the list.
8, 7.5, 7.6, 3, 7.4, 7.9, 8.1, 2, 7.7
Move words to the blanks to describe the best measure of variability for this data.
because the distribution is
The best measure of variability for the data is the
median
mean
mean absolute deviation
interquartile range
uniform
skewed
symmetric
The best measure of variability for the given data, based on the description provided, is the mean absolute deviation.
To determine the best measure of variability for the given data, we need to consider the characteristics of the data distribution. In this case, the description of the data distribution is missing, so we cannot directly identify whether it is uniform, skewed, or symmetric.
However, regardless of the shape of the distribution, the mean absolute deviation (MAD) is a suitable measure of variability. MAD calculates the average distance between each data point and the mean of the data set. It provides a measure of the average amount of variation or dispersion in the data, regardless of the shape of the distribution.
Other measures of variability, such as the median, mean, and interquartile range, also have their uses, but the mean absolute deviation is particularly suitable when the shape of the distribution is not specified.
Learn more about median here:
https://brainly.com/question/300591
#SPJ11
The sum of the angles in a triangle are 180 degrees. Find the value of the variable, then find the angle measures of a polygon.
Answer:
15=x 5x=75
Step-by-step explanation:
90/6=15
6 is how many x's there are in total meaning that 1 x = 15
15*5=75 so one angle is 15 while the other is 75
75 + 15= 90
90+90=180 getting you the 180 degrees
A test for intelligence is developed. If a person is intelligent, the test will say so 98% of the time. The probability of intelligence is 60% and the probability of a positive test is 75%. Person A takes the test, and it is positive for intelligence. Given that outcome. and the below equation, identify and label P(E),P(H),P(E∣H) and calculate P(H∣E) to determine the probability that Person A is intelligent? (Express answers in proportions, round values to three decimal places). P(H∣E)=
P(E) = 0.75 ( positive test), P(H) = 0.60 (intelligence)
P(E|H) = 0.98 (positive test given intelligence)
P(H|E) = 0.784 (intelligence given a positive test)
Let's break down the information given and identify the relevant probabilities:
P(E) represents the probability of a positive test, which is given as 75% or 0.75.
P(H) represents the probability of intelligence, which is given as 60% or 0.60.
P(E|H) represents the probability of a positive test given intelligence, which is given as 98% or 0.98.
We are interested in calculating P(H|E), which represents the probability of intelligence given a positive test.
Using Bayes' theorem, we can calculate P(H|E) as follows:
P(H|E) = (P(E|H) * P(H)) / P(E)
Substituting the given values:
P(H|E) = (0.98 * 0.60) / 0.75
P(H|E) ≈ 0.784
Therefore, the probability that Person A is intelligent, given a positive test result, is approximately 0.784 or 78.4%.
In summary, the probabilities are:
P(E) = 0.75 (Probability of a positive test)
P(H) = 0.60 (Probability of intelligence)
P(E|H) = 0.98 (Probability of a positive test given intelligence)
P(H|E) ≈ 0.784 (Probability of intelligence given a positive test)
Learn more about Probability: brainly.com/question/13604758
#SPJ11
P(E) = 0.75 ( positive test), P(H) = 0.60 (intelligence)
P(E|H) = 0.98 (positive test given intelligence)
P(H|E) = 0.784 (intelligence given a positive test)
Let's break down the information given and identify the relevant probabilities:
P(E) represents the probability of a positive test, which is given as 75% or 0.75.
P(H) represents the probability of intelligence, which is given as 60% or 0.60.
P(E|H) represents the probability of a positive test given intelligence, which is given as 98% or 0.98.
We are interested in calculating P(H|E), which represents the probability of intelligence given a positive test.
Using Bayes' theorem, we can calculate P(H|E) as follows:
P(H|E) = (P(E|H) * P(H)) / P(E)
Substituting the given values:
P(H|E) = (0.98 * 0.60) / 0.75
P(H|E) ≈ 0.784
Therefore, the probability that Person A is intelligent, given a positive test result, is approximately 0.784 or 78.4%.
In summary, the probabilities are:
P(E) = 0.75 (Probability of a positive test)
P(H) = 0.60 (Probability of intelligence)
P(E|H) = 0.98 (Probability of a positive test given intelligence)
P(H|E) ≈ 0.784 (Probability of intelligence given a positive test)
Learn more about Probability: brainly.com/question/13604758
#SPJ11
based upon the data in the table, which two colors are most likely the school colors of amarjit's high school
According to the data in the table, blue and gold are the two colors most likely to be the school colors of Amarjit's high school.
The table displays the results of a survey in which 600 students were asked to choose their school colors. Out of the six options presented, blue was the most popular choice with 210 students selecting it, while gold was the second most popular with 180 students selecting it. While other colors were also selected, none of them were chosen by more than 100 students, making it unlikely that they would be the primary school colors. However, it is important to note that there may be other factors that influence the selection of school colors, such as tradition or community preferences, which are not reflected in the survey data.
Learn more about data here
https://brainly.com/question/30395228
#SPJ11
Based on the data in the table, which two colors are most likely the school colors of Amarjit's high school?
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
Know more about function here:
https://brainly.com/question/11624077
#SPJ8