Answer:
bjfyjjyffjvukshmdjdynftjfu
Analyze the function. Find the intercepts, extrema, intervals of
increase/decrease and concavity, points of inflection an make a
sketch of the function, f(x) = (x - 8)^2/3
The function f(x) = (x - 8)^(2/3) has no x-intercepts and a y-intercept at (-8)^(2/3). It has no extrema or points of inflection. The function is increasing for x < 8 and decreasing for x > 8. It is concave down for the entire domain. Based on this analysis, a sketch of the function would show a concave-down curve with no intercepts, extrema, or points of inflection.
To analyze the function f(x) = (x - 8)^(2/3), we'll examine its properties step by step.
1. Intercepts:
To find the x-intercept, we set f(x) = 0 and solve for x:
(x - 8)^(2/3) = 0
Since a number raised to the power of 2/3 can never be zero, there are no x-intercepts for this function.
To find the y-intercept, we substitute x = 0 into the function:
f(0) = (0 - 8)^(2/3) = (-8)^(2/3)
The y-intercept is (-8)^(2/3).
2. Extrema:
To find the extrema, we take the derivative of the function and set it equal to zero:
f'(x) = (2/3)(x - 8)^(-1/3)
Setting f'(x) = 0, we get:
(2/3)(x - 8)^(-1/3) = 0
This equation has no real solutions, which means there are no local extrema.
3. Intervals of Increase/Decrease:
To determine the intervals of increase and decrease, we analyze the sign of the derivative. We can see that f'(x) > 0 for x < 8 and f'(x) < 0 for x > 8. Therefore, the function is increasing on the interval (-∞, 8) and decreasing on the interval (8, ∞).
4. Concavity:
To determine the concavity, we take the second derivative of the function:
f''(x) = (-2/9)(x - 8)^(-4/3)
Analyzing the sign of f''(x), we can see that it is negative for all real values of x. This means the function is concave down for the entire domain.
5. Points of Inflection:
To find the points of inflection, we set the second derivative equal to zero and solve for x:
(-2/9)(x - 8)^(-4/3) = 0
This equation has no real solutions, indicating that there are no points of inflection.
Based on the analysis above, we can sketch the function f(x) = (x - 8)^(2/3) as a concave-down curve with no intercepts, extrema, or points of inflection. The y-intercept is at (-8)^(2/3). The function is increasing for x < 8 and decreasing for x > 8.
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What is the awnser for this question?
Based on the picture select all angles that are 128°
the subject is parallel lines
Answer:
2, 7, and 4
Step-by-step explanation:
I don't really have e a explanation
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415
이
00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit
The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
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Find the missing side length of
the triangle.
Answer:
50 units
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
a = 48
b = 14
c = ?
Step 2: Solve for c
Substitute in variables [Pythagorean Theorem]: 48² + 14² = c²Evaluate exponents: 2304 + 196 = c²Add: 2500 = c²[Equality Property] Square root both sides: 50 = cRewrite: c = 5035 out of 50 students in a class wear glasses. What percentage of students in the class wear glasses?
Answer:
70%
Step-by-step explanation:
Percentage is out of 100
35/50 change denominator
multiply both numerator and denominator by 2
70/100= 70%
If you mix red and white paint in different ratios, you will get different shades of pink paint. If the ratios are equivalent, the shades of the pink will be same.
HELP me please.............
Answer:
x+Y=0< dependent
x−Y=0 <dependent
x+Y=2< inconsistent
x−2Y=4x−Y=−1 < inconsistent
x−Y=−2Ta< independent
Step-by-step explanation:
I haven't learn these type of questions yet only freshman in high so tried to come up with the best answers with a lot of research
Hope this help
Simplify the radical expression.
To simplify a radical expression, we aim to simplify the radical itself by finding perfect square factors and then simplify any remaining factors outside the radical.
Step 1: Identify perfect square factors: Look for any factors inside the radical that are perfect squares. A perfect square is a number that can be expressed as the square of an integer.Step 2: Simplify the perfect square factors: Take the square root of the perfect square factors and bring them out of the radical. For example, if you have √(4x^2), you can simplify it as 2x because 4 is a perfect square and its square root is 2.Step 3: Simplify any remaining factors: If there are any remaining factors inside the radical that are not perfect squares, leave them under the radical.Step 4: Combine the simplified factors: Multiply the factors outside the radical together and write them alongside any remaining factors inside the radical.For example, if you have the expression √(12x^3), you can simplify it as follows:
√(12x^3) = √(4 * 3 * x^2 * x) = 2x√(3x)
So the simplified form of √(12x^3) is 2x√(3x).
By following these steps, you can simplify radical expressions and write them in a more simplified and concise form.
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Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.
(2x - 20) (4x - 10)
if prism A and B have a ratio of similarity of 6:11, what is the volume of prism B if the volume of prism A is 96 cubic units
Answer:
176cubic units
Step-by-step explanation:
a:b
6:11
a=96
6/11=96/x
6x=1056(96×11)
x=176 cubic units
M+n-q+p= (?)
j nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Answer:
Can You Make the Question Clear Please!?
the two triangles below are similar.
Answer:
Step-by-step explanation:
yes they are just a rotated triangle
In a 30-60-90 triangle, the smallest side measures inches 6v10 inches. Which is the exact measure for the largest side? a. 12v10 inches b. 2v30 inches c. 3v10 inches a. 6v5 inches
The exact measurements for the largest side is 12√10 inches. Hence option a is the correct option.
What is the right triangle?
A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle, i.e. two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle.
Given that the angles of a triangle are 30-60-90.
The smallest angle is always opposite the shortest side, and vice versa. The longest side is also opposite the largest angle, and vice versa.
The opposite side of angle 30 is the shortest side of the triangle.
The opposite side of angle 90 is the longest side of the triangle.
Sine law:
a/sin A = b/ sin B =c/sin C
a is the opposite side of angle A, b is the opposite side of angle B, c is the opposite side of angle C.
Assume that the length of the longest side is a.
Applying sine law in the given triangle:
6√10/sin 30 = a/sin 90
6√10/(1/2)= a/1
a = 12√10
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Solve each equation by completing the square. Write the answers as equations.
4. x2-2x-48=0 5. r2+8r+12=0
Answer:
the answer is
x-2=48
r-8= -12
Tell whether the relationship shown in the mapping diagram is a function or not.
Answer:
It is a function
Step-by-step explanation:
The x-values do not repeat so it is a function.
What is the value of X???? I will mark brainliest to the first right answer!!!!
Answer:
The value of x=-8
Step-by-step explanation:
hope this helps.
Answer:
x = -8
Step-by-step explanation:
\(\frac{3}{4}(\frac{1}{4}x+8)-(\frac{1}{2}x+2) =\frac{3}{8}(4-x)-\frac{1}{4}x\\\\\frac{3}{4}*\frac{1}{4}x+\frac{3}{4}*8-\frac{1}{2}x-2 =\frac{3}{8}*4-\frac{3}{8}x-\frac{1}{4}x\\\\\frac{3}{16}x+3*2-\frac{1}{2}x-2 =\frac{3}{2}-\frac{3}{8}x-\frac{1}{4}x\\\\\\ \frac{3}{16}x+6-\frac{1}{2}x-2 =\frac{3}{2}-\frac{3}{8}x-\frac{1}{4}x\\\\\frac{3}{16}x-\frac{1}{2}x+\frac{3}{8}x+\frac{1}{4}x=\frac{3}{2}-4\\\\\\\frac{3}{16}x-\frac{1*8}{2*8}x+\frac{3*2}{8*2}x+\frac{1*4}{4*4}x=\frac{3}{2}-\frac{4*2}{1*2}\\\\\\\)
\(\frac{3}{16}x-\frac{8}{16}x+\frac{6}{16}x+\frac{4}{16}x = \frac{3}{2}-\frac{8}{2}\\\\\frac{3-8+6+4}{16}x = \frac{3-8}{2}\\\\\frac{5}{16}x = \frac{-5}{2}\\\\x = \frac{-5}{2}*\frac{16}{5}\\\\x = -8\)
Helppp I need help ASAP
Answer:
it would be B
Step-by-step explanation:
the ratio of tomatoes to cheese slices is 18:4 1/2 so that would be 25% of tomatoes.
What is the solution to the system of equations below? x + 3 y = 15 and 4 x + 2 y = 30
Answer:
X=6 y=3 point form (6,3)
Step-by-step explanation:
Answer:
6,3
Step-by-step explanation:
I just took the test and got 100%
If f(x) = x - 4 and g (x) = 2x Find g(f (-2));
f(x) = x - 4
g(x) = 2x
We need to find g(f(-2)), which means
Find f(-2) at first by substitute x by -2 in f
f(-2) = (-2) - 4 = -2 - 4 = -6
Replace f(-2) by -6
Now we need to find g(-6)
Substitute x in g by -6
g(-6) = 2(-6) = -12
g(f(-2)) = -12
Is y=1/2x^3-4 Linear
Answer:
Yes, because x is rasied to the power of 3
Step-by-step explanation:
Linear algebra is the branch of mathematics concerning linear equations such as:
{\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b,}{\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b,}
linear maps such as:
{\displaystyle (x_{1},\ldots ,x_{n})\mapsto a_{1}x_{1}+\cdots +a_{n}x_{n},}{\displaystyle (x_{1},\ldots ,x_{n})\mapsto a_{1}x_{1}+\cdots +a_{n}x_{n},}
and their representations in vector spaces and through matrices.[1][2][3]
Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis, a branch of mathematical analysis, may be viewed as the application of linear algebra to spaces of functions.
Linear algebra is also used in most sciences and fields of engineering, because it allows modeling many natural phenomena, and computing efficiently with such models. For nonlinear systems, which cannot be modeled with linear algebra, it is often used for dealing with first-order approximations, using the fact that the differential of a multivariate function at a point is the linear map that best approximates the function near that point.
Our badminton team has finished $75\%$ of its season, during which we won $40\%$ of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses
Answer:
80%
Step-by-step explanation:
We can generalize from a specific example.
Let's assume that the season is 100 games long.
We have played 75% of the season, which is 75 games
We have won 40% of the games that we have played, so we have won 40% of 75 games, which is 30 games.
So, we must have lost 45 games.
To finish the season with as many wins as losses, of the 25 games we have left to play, we will have to win 20 games and lose 5.
To win 20 out of the last 25 games will be 20/25 = 0.80 = 80%
I need help with these four problems please
Solve for x: 1:5x = 30
Solve for x: 2/3x = - 12
Solve for x: 2/3x - 1 = 5
Solve for x: 4(x - 2) - 3 = 9
Answer:
x = 20
x = -18
x = 7/15
x = 5
The completion times for a job task range from 10.8 minutes to 18.3 minutes and are thought to be uniformly distributed. What is the probability that it will require between 13.7 and 17.3 minutes to perform the task
The probability that it will require between 13.7 and 17.3 minutes to perform the task is (6.5 / 7.5) - (2.9 / 7.5).
To find the probability that it will require between 13.7 and 17.3 minutes to perform the task, we can use the formula for calculating the probability of a range within a uniform distribution.
First, we need to find the total range of completion times, which is 18.3 - 10.8 = 7.5 minutes.
Next, we calculate the probability of the task taking less than 13.7 minutes by finding the difference between 13.7 and 10.8, which is 2.9 minutes.
Then, we divide this by the total range, 7.5 minutes.
So, the probability of the task taking less than 13.7 minutes is 2.9 / 7.5.
Similarly, we calculate the probability of the task taking less than 17.3 minutes by finding the difference between 17.3 and 10.8, which is 6.5 minutes.
Then, we divide this by the total range, 7.5 minutes.
So, the probability of the task taking less than 17.3 minutes is 6.5 / 7.5.
Finally, to find the probability of the task taking between 13.7 and 17.3 minutes, we subtract the probability of the task taking less than 13.7 minutes from the probability of the task taking less than 17.3 minutes.
Therefore, the probability that it will require between 13.7 and 17.3 minutes to perform the task is (6.5 / 7.5) - (2.9 / 7.5).
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I really need help in this, please I keep getting links! help asap. (20 points)
Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.
Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
Answer:
0.2
Step-by-step explanation:
which of the following illustrates the abuse of respondents in marketing research? multiple choice selling unnecessary or unwarranted research services having friends and relatives fill out surveys not using the designated sample of respondents but rather anyone who is conveniently available to complete a survey not providing the promised incentive for completing interviews or questionnaires revealing one's clients to the respondents
An illustrates the abuse of respondents in marketing research is :
Not providing the promised incentive for completing interviews or questionnaires.
Definition of Marketing ResearchThe world organization body, the American Marketing Association (AMA), conveys the definition of marketing research is a function that connects customers, consumers, or the general public with marketers through information used to identify marketing problems and opportunities.
Meanwhile, Philip Kotler defines marketing research as the systematic design, collection, analysis, and reporting of data or findings that are relevant to a particular marketing situation faced by a company.
Simply put, marketing research is the identification, collection, analysis, and presentation of systematic and objective information to help companies make decisions related to problem solutions and find opportunities in the marketing process.
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List the terms in the trinomial below: 3 + 7a - 2x
Answer:
Terms=3, 7a, 2x
Step-by-step explanation:
What is the ratio for sinM (Look at the picture)
A) 7/24
B) 7/25
C) 25/24
D) 24/25
Answer:
B) 7/25
Step-by-step explanation:
sin M = opposite/hypotenuse = 7/25
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table.
A 4-column table with 3 rows. Column 1 has entries 4, 6, 8. Column 2 is labeled car with entries 118, 16, 2. Column 3 is labeled truck with entries 6, 12, 6. Column 4 is labeled S U V with entries 18, 20, 2. The columns are titled motor vehicle and the rows are titled cylinders.
A survey participant is randomly selected. Let S be the event that the participant’s first motor vehicle had six cylinders and let T be the event that the participant’s first motor vehicle was a truck. What is the value of P(S and T)?
0.06
0.12
0.24
0.30
answer. is A 0.06
Write the percent as a fraction in simplest form and as a decimal.
16. 24%
The percent, 16.24%, in fraction in the simplest form is 203/1250 and as a decimal is 0.1624.
According to the question,
We have the following information:
16.24%
Now, we will convert this percent into fraction by removing the sign of the percentage and then we will convert the obtained fraction into the simplest form by dividing both the numerator and denominator by the same number until they can not be divided further.
16.24/100
4.06/25
406/2500
203/1250
Now, converting this fraction as a decimal:
0.1624
Hence, the percent, 16.24%, in fraction in the simplest form is 203/1250 and as a decimal is 0.1624.
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An elevator travels down from the top floor of a skyscraper. Its height, in feet, is given
by the equation h = 1000 – 22t, where h represents the elevator's height, in feet,
and t represents the time, in seconds. What could the number 22 represent in the
equation?
a) the change in the elevators height for every one additional second.
b) how long it takes for the elevator to reach the ground floor
c) the elevators final height
d) the elevators height after one second
Answer:
a
Step-by-step explanation:
I am pretty sure it is a it seems like the most obvious