The table shows several points for function f(x). A 2-column table with 8 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4, 6, 8, 10. Column 2 is labeled f (x) with entries 19, 15, 11, negative 6, negative 7, negative 8, negative 10, negative 14. Which statement correctly identifies a point on the graph of f–1(x)? The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x). The point (–2, 15) is on the graph of f(x), so the point (2, –15) will be on the graph of f–1(x). The point (–4, 19) is on the graph of f(x), so the point (–4, –19) will be on the graph of f–1(x). The point (10, –14) is on the graph of f(x), so the point (–14, 10) will be on the graph of f–1(x).
Answers
The only place that the function is increasing is [-3, -1].
(learn your interval notation).
At x = -3, y = -11
What is the interval of the function?
In the increasing intervals of a given function, one must determine the intervals where the function has a positive first derivative. To find these intervals, first, find the critical values or the points at which the first derivative of the function is equal to zero.
at x = -2, y = -6 (-6 is greater than -11);
and at x = -1, y = -1 (-1 is greater than -6).
The next x value, 0, returns a y value of -2.
But -2 is less than -1, the value before it, So it begins decreasing again at x = 0.
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Related Questions
HELLLLLPPPPPP!!! 40 POINTS!!!
What is the Standard Deviation of the following set of data?
14, 22, 18, 12, 14, 8, 4, 12, 32, 12
1. 30.34
2. 60.68
3. 7.79
4. 7.39
Answers
Answer:
7.79
Step-by-step explanation:
2x-y=4 in y=mx+b form ?????
Answers
Answer:
y=2x+4
Step-by-step explanation:
The circumference would ……. For example, a circle with a radius of 3 feet would have a circumference that is about 18 feet. When the radius doubles to 6 feet, the circumference is about ………. feet.
Answers
Answer:
37.7 feet
Step-by-step explanation:
The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.
For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).
When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).
In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.
please help! ASAP I need help fast!!
Answers
Answer: 4.8
Explanation: divide total needed of blue paint (3) by 1/2 to find the ratio, which is 6. then multiply that by 4/5 to get the total of yellow paint, which is 4.8
Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this section to solve the following exercise.A shirt and a tie together cost $68. The shirt costs $30 more than the tie. What is the cost of the shirt (in dollars).
Answers
Let x and y be the cost of a shirt and a tie, respectively; therefore, the two equations are
\(\begin{gathered} x+y=68 \\ \text{and} \\ x=30+y \end{gathered}\)We have two variables and two equations; we need to solve the system of equations to find the values of x and y.
Solve using the substitution method.
Use the second equation into the first equation, as shown below
\(\begin{gathered} x=30+y \\ \Rightarrow(30+y)+y=68 \\ \Rightarrow30+2y=68 \\ \Rightarrow2y=68-30=38 \\ \Rightarrow y=\frac{38}{2} \\ \Rightarrow y=19 \end{gathered}\)Now, use this value of y in the second equation
\(\begin{gathered} y=19 \\ \Rightarrow x=30+y=30+19 \\ \Rightarrow x=49 \end{gathered}\)Remember that x is the cost of a shirt and y is the cost of a tie. Therefore, the answers are
Cost of a shirt: $49
Cost of a tie: $19
One can verify the answer by noticing that a shirt and a tie cost $49+$19=$68, and that a shirt costs $30+$19=$49
Graph the system of equations on your graph paper to answer the question.
{y=x−4y=−x+6
What is the solution for this system of equations?
Answers
Answer: (5 , 1)
Step-by-Step explanation:
hihi your problem is a system of question y = x-4 and y = -x+6 okay so graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!
y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right
y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left
once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!
the solution is x = 5 and y = 1 which is also (5 , 1)
hopefully this was helpful !
Domain:
O-85x<0 or 0
O-85x50or 0≤x≤2
O 1
O 2
Answers
The domain and the range of the piecewise function in this problem are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:
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Which of the following can divide into 756 with no remainder?
Select all that are correct. (Chapter 4)
Select
4
2
9
25
5
8
10
3
6
Answers
Answer:
4, 2, 9, 3, 6
Step-by-step explanation:
756/4= 189
756/2= 378
756/9= 84
756/25= 30.24
756/5= 151.2
756/8= 94.5
756/10= 75.6
756/3= 252
756/6= 126
How do the number line graphs of the solutions sets of -23 > X and X2-23 differ?
One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in
opposite directions, but they have the same endpoint.
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use open
circles.
O One graph uses an open circle, but the other graph uses a closed circle. Also, the rays have different endpoints, but
they use arrows that point in the same direction.
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use closed
circles.
Answers
Answer:
the answer is A. One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.
Answer:
A as in apple
Step-by-step explanation:
Which one doesn’t belong and why
Answers
The polygon does not belong to the group as it is created by a finite number of line segments and the concept of the radius of curvature is not applicable.
What shape is different from the others?
In this problem we have three shapes related to circle-like and ellipse-like arcs (circle, semicircle, ellipse) and a regular polygon.
Circles are closed figures created by a arc whose radius of curvature is the same at every point and ellipses are closed figures created by a arc whose radius of curvature varies in the following interval: a ≤ r ≤ b, where a, b are the lengths of the semiaxes.
Polygons are closed figures created by a finite number of line segments and therefore the concept of radius of curvature is not applicable.
Therefore, the polygon does not belong to the group as it is created by a finite number of line segments and the concept of the radius of curvature is not applicable.
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A jar of peanut butter contains 50 tablespoons of peanut butter.
How many sandwiches can you make from the jar of peanut butter, assuming you have plenty of bread and jelly?
A. 25 sandwiches
B. 9 sandwiches
C. 10 sandwiches
D. 50 sandwiches
Answers
Answer:
the correct answer is A. 25 sandwiches.
Step-by-step explanation:
Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.
Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.
So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.
Therefore, the correct answer is A. 25 sandwiches.
Answer: 25
Step-by-step explanation:
We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.
2+2...=50
What is the value of 3 n plus 1 when n=4
Answers
Answer:
13
Step-by-step explanation:
3n+1
putting n=4
3(4)+1
12+1
13
John averages 58 words per minute on a typing test with a standard deviation of 11 words per minute. Suppose John's words per minute on a minute on a typing test. Then X~N(58,11)
Answers
Answer:
The z score when x =72 is:
\( z = \frac{72-58}{11}= 1.273\)
The mean is 58
This z-score tells you that x= 72 is 1.273 standard deviations to the right of the mearn.
Step-by-step explanation:
Assuming the following info for the question: Suppose John's words per minute on a typing test are normally distributed. Let X -the number of words per minute on a typing test. Then X N(58, 11) If necessary, round to three decimal places.
Provide your answer below rds per minute in a typing test on Sunday. The z score when x =72 is
For this case we know that the variable of interest is modelled with the normal distribution:
\(X \sim N (\mu= 58, \sigma=11)\)
And the z score is given by:
\( z = \frac{X -\mu}{\sigma}\)
And replacing we got:
\( z = \frac{72-58}{11}= 1.273\)
The mean is 58
This z-score tells you that x= 72 is 1.273 standard deviations to the right of the mearn.
Solve (x-2)^2- 40 = 0, where x is a real number
Answers
The required solution is given as x = -4.32 and x = 8.32.
Given that,
To Solve (x-2)²- 40 = 0, where x is a real number.
The process in mathematics to operate and the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
(x-2)²- 40 = 0
(x - 2) = √40
x - 2 = ± 6.32
Taking plus,
x = 6.32 + 2
x = 8.32
Taking minus
x = -6.32 + 2
x = -4.32
Thus, the required solution is given as x = -4.32 and x = 8.32.
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What is the volume of the cone to the nearest cubic meter? (Use π = 3.14) A)21 m3 B)84 m3 C)168 m3 D)335 m3
Answers
Given:
The height of the cone, h=5m.
The radius of the base of the cone, r=4 m.
The volume of the cone can be calculated as,
\(\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V=\frac{1}{3}\times\pi\times4^2\times5 \\ V=\frac{1}{3}\times3.14\times16\times5 \\ V\approx84m^3 \end{gathered}\)Therefore, the volume of the cone is 84 cu.m.
Hence, option B is correct.
Simplify sqrt3^15 timed test for edge
Answers
Answer:
5
Step-by-step explanation:
(ANSWERED- EASY POINTS!!) The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely.
81x2 – 49
The value of a is ____.
The value of b is ____.
The product of the prime factors is ____.
The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely.
81x2 – 49
The value of a is ✔ 9x.
The value of b is ✔ 7.
The product of the prime factors is
✔ (9x – 7)(9x + 7).
Answers
Answer:
This equation is a perfect square binomial so you would just square root the front and then square root the back to get (9x+7)(9x-7)
Step-by-step explanation:
The front is 81x^2 and the back is 49 which are both perfect squares.
The given polynomial, 81x^2 - 49, is a difference of perfect squares. To factor it completely, we can use the formula a^2 - b^2 = (a + b)(a - b).
In this case, a^2 = 81x^2 and b^2 = 49. Taking the square root of both sides, we have a = 9x and b = 7.
Therefore, the value of a is 9x and the value of b is 7.
To factor the polynomial completely, we use the formula (a + b)(a - b). Substituting the values of a and b, we have:
(9x + 7)(9x - 7)
The product of the prime factors is (9x - 7)(9x + 7).
I hope this helps!
Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000, which plan would allow Maya to earn the most money in a month? Plan Monthly base salary Commission rate A $500 8% B $600 7% C $700 6% D $800 5% plan A plan B plan C plan D
Answers
Answer:
Well Plan D
Step-by-step explanation:
Answer:
plan D.
Step-by-step explanation:
2021 edge
5. GARDENING Jane needs to buy mulch
for the garden with the dimensions
shown in the figure. For how much area
does Jane need to buy mulch? Round to
the nearest tenth.
5.5 yd
Answers
Answer:
The dimensions of the garden are not provided in the question, so it is not possible to determine the area for which Jane needs to buy mulch. Without knowing the dimensions, there is not enough information to answer the question.
Step-by-step explanation:
a bicycle normally sells $240. it is now on sale for 25% off. As an employee, Brandon was able to save an extra 10% off the sale price. How much, to the nearest dollar, would Brandon need to pay for the bicycle?
Answers
Answer:
96
Step-by-step explanation:
because first you got to divide 240 by 25% then whatever that is you divide it by 10% and that's your answer ✔
Suppose a simple random sample of size n=36 is obtained from a population with mean = 64 and sd = 18
what is p(x < 62)
what is P(x>68)
what is P(62
the length of human pregnancies is approximately normally distributed with mean u=266 days and standard deviation s=16 days
what is the probability a randomly selected pregnancy lasts less than 260 days?
suppose a random sample of 20 pregnancies is obtained. what is the probability that a random sample of 20 pregnancies has a mean gestation period of 260 days or less?
what is the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less?
Answers
For p(x<62) and p(x>68), we can use the z-score formula to calculate the probability.
p(x<62), the z-score formula is (62-64)/18 = -0.11.
p(x>68), the z-score formula is (68-64)/18 = 0.22.
The rest answer are mentioned below with calculation.
What is z-score formula?It is (X-μ)/σ, where X is the value we are evaluating, μ is the mean of the population, and σ is the standard deviation of the population.
For the first two questions, p(x<62) and p(x>68), we can use the z-score formula to calculate the probability. The z-score formula is (X-μ)/σ, where X is the value we are evaluating, μ is the mean of the population, and σ is the standard deviation of the population.
For the first question, p(x<62), the z-score formula is (62-64)/18 = -0.11. This means that the probability of x being less than 62 is 0.3767 (from the z-score table).
For the second question, p(x>68), the z-score formula is
(68-64)/18 = 0.22.
This means that the probability of x being greater than 68 is 0.5987 (from the z-score table).
For the third question, the probability that a randomly selected pregnancy lasts less than 260 days can be calculated using the z-score formula.
The z-score formula is (260-266)/16 = -0.375. This means that the probability of a randomly selected pregnancy lasting less than 260 days is 0.3296 (from the z-score table).
For the fourth question, the probability that a random sample of 20 pregnancies has a mean gestation period of 260 days or less can be calculated using the Central Limit Theorem.
Since the sample size is 20, the standard deviation of the sample is
16/√(20) = 4.
The z-score formula is (260-266)/4 = -1.5.
This means that the probability of a random sample of 20 pregnancies having a mean gestation period of 260 days or less is 0.0668 (from the z-score table).
For the fifth question, the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less can be calculated using the Central Limit Theorem.
Since the sample size is 50, the standard deviation of the sample is
16/√(50) = 1.83
The z-score formula is (260-266)/1.8 = -3.3.
This means that the probability of a random sample of 50 pregnancies having a mean gestation period of 260 days or less is 0.0062 (from the z-score table).
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How did growers in the South attempt to rebuild their cotton market?
Produced more cotton
Raised the price of cotton
Hired more laborers
Sold their land
Answers
Alex has $4,500 in his college savings account. When he starts college, he withdraws $750 from his account every month. Based on this information, which equation best represents the relationship between the number of months, x, and the amount of money left in his savings account, y?
Answers
Juan needs to rent a car for his road trip to Savannah, GA. Juan asks his friends if he knows how much the car rental costs. Nadia says she paid $50 for a two-day car rental. Johanna says she paid $75 for a three-day rental, and Kristine paid $100 for a four-day rental.
Juan made the table below to help him visualize how much his car rental will cost.
Answers
Answer:
ok whats the question?
Step-by-step explanation:
i only see the explanation
y=9/4×2
sketch the graph of f and f on the same set of axes
Answers
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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HURRY PLEASE PLEASE PLEASE IM GIVING 20 PTS~! WILL GIVE BRAILIEST!
Answers
Answer:
-3 is the slope, or -3/1.
Step-by-step explanation:
What is the equation of the line that passes through (4, 3) and (-4, -1)?
Choices:
2x+1
y=2x+7
y=x/2 +1
y= -x/2 +7
Answers
The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.
To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Substituting the given points into the formula, we get:
m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2
Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.
y = mx + b
3 = (-1/2)(4) + b
3 = -2 + b
b = 5
Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:
y = -x/2 + 5
So, correct option is A.
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Complete question is:
What is the equation of the line that passes through (4, 3) and (-4, -1)?
Choices:
y = -x/2 + 5
y=2x+7
y=x/2 +1
y= -x/2 +7
Fiona is paid $11 an hour to work as a referee. The amount of money he earns depends on how many hours he works. Which is a dependent variable, and which is an independent variable?
Answers
Answer:
Number of hours worked = independent
Money earned = dependent
Step-by-step explanation:
The money earned is dependent because "the amount of money he earns depends on how many hours he works." Since the money earned is dependent, the number of hours worked is independent.
We can also think of it another way. You can pick how many hours you work (theoretically) so this is indepdent. The amount of money earned depends on the hours you worked.
Summary:
Looking at the wording, we can answer the question with the following:
Number of hours worked = independent
Money earned = dependent
An experiment was used to test a new migraine medicine. Each participant took either the new medicine or a placebo
then waited for one hour to see if the headache went away or remained. The results are compiled in the contingency
table below. Use the table to answer the questions.
Went Away| Medicine| Placebo
Remained|. 120. |. 68
18. | 44
Your answers should be exact numerical values.
There were
participants whose headache remained.
The probability of randomly selecting an individual whose headache remained is
There were
participants whose headache remained and took a placebo.
The probability of randomly selecting an individual whose headache remained and took a placebo is
Answers
1) Number of participants whose headache remained is: 62
2) The probability of randomly selecting an individual whose headache remained is: 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933
How to find the probability of random selection?From the table, we have the parameters as:
Number of participants that took medicine and headache went away = 120
Number of participants that took placebo and headache went away = 68
Number of participants that took and headache remained = 18
Number of participants that took placebo and headache remained = 44
1) Number of participants whose headache remained = 18 + 44 = 62
2) The probability of randomly selecting an individual whose headache remained is:
62/(62 + 120 + 68)
= 62/150
= 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is:
44/150 = 0.2933
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help please desperate
Answers
Answer:
your new coordinates will be (-2,1), (-4, 1), (-4,4)
Hope that helped you! :D
Step-by-step explanation:
y=x is the line that cuts through the origin diagonally.