Selected values of a continuous function f are given in the table above. Which of the following statements could be false? (A By the Intermediate Value Theorem applied to f on the interval (2,5), there is a value c such that f (c) = 10. (B) By the Mean Value Theorem applied to f on the interval (2,5), there is a value c such that f' (c) = 10. c) By the Extreme Value Theorem applied to f on the interval (2,5), there is a value c such that f(c) f (x) for all w in (2,5). Let f be the function defined by f (x) = r - 6x2 + 9x + 4 for 0 < 3 < 3. Which of the following statements is true? А ) f is decreasing on the interval (0,1) because f' (2) < 0 on the interval (0,1). f is increasing on the interval (0, 1) because f'(x) < 0 on the interval (0,1). f is decreasing on the interval (0, 2) because f" (c) < 0 on the interval (0,2). f is decreasing on the interval (1,3) because f' (2) < 0 on the interval (1, 3).
Answers
The values of a continuous function f are given which are false is By the Mean Value Theorem applied to f on the interval (2,5), there is a value c such that f' (c) = 10. So, the correct option is statement (B). Let f be the function defined by f (x) = r - 6x2 + 9x + 4 for 0 < 3 < 3 then f is decreasing on the interval (1,3) because f' (2) < 0 on the interval (1, 3). So, the correct option is D).
For continuous function f the statement (B) is false. Although the Mean Value Theorem guarantees the existence of a point c such that f'(c) = (f(5)-f(2))/(5-2) = 2, there is no guarantee that this value will be exactly 10.
When f (x) = r - 6x2 + 9x + 4 for 0 < 3 < 3 is statement (D) is true. We have f'(x) = -12x + 9, which is negative for x in the interval (1,3). Therefore, f is decreasing on this interval. Statement (A) is false, as f'(2) = 3 is positive, so f is increasing on the interval (0,1).
Statement (B) is also false, as f'(x) is not negative on the interval (0,1). Statement (C) is false, as f" (x) = -12 is negative everywhere, so f is concave down on the entire interval (0,3).
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Related Questions
solve x and y for 5x−y=44−3=−3x−y=−12
Answers
The values of the variables are;
x = 7
y = -9
How to solve for the variablesFrom the information given, we have that;
5x−y=44
−3x−y=−12
Using the elimination method of solving simultaneous equations
Subtract equation (2) from equation (1), we get;
5x - y - (-3x - y) = 44 - (-12)
Now, expand the bracket
5x - y+ 3x + y = 56
collect the like terms
5x + 3x = 56
add the terms
8x = 56
Make 'x' the subject of formula
x= 7
Now, substitute the value of x in equation (2)
-3x - y = -12
-3(7) - y = -12
expand the bracket
-21 - y= - 12
collect like terms
-y = 9
y = -9
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Somebody help me pls ♀️
Answers
1. The trigonometric ratios are given as follows:
Sine = opposite/hypotenuse.Cosine = adjacent/hypotenuse.Tangent = opposite/adjacent.2. The equation to solve for x is given as follows: sin(52º) = x/13.
3. Two equations to solve for m are given as follows:
n² + m² = l².m = square root (l² - n²).4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.
5. The lengths are given as follows:
BD = 4.3 cm.BC = 11.5 cm.What are the trigonometric ratios?The three trigonometric ratios are given as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:
sin(52º) = x/13.
In item 3, the Pythagorean Theorem is used to solve for m, as follows:
n² + m² = l².
m² = l² - n²
m = square root (l² - n²).
In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:
sin(62º) = 7/h
h = 7/sin(62º)
h = 7.9 inches.
The length BD in item 5 is obtained as follows:
cos(30º) = BD/5
BD = 5 x cos (30º)
BD = 4.3 cm.
Then the length BC is calculated as follows:
sin(22º) = 4.3/BC
BC = 4.3/sin(22º)
BC = 11.5 cm.
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Select the correct answer.
If no denominator equals zero, which expression is equivalent to 15/x-6 + 7/x+6?
A.
OB.
OC.
OD.
22 +132
²36
22-48
236
22
C.36
22 +48
²36
Answers
The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).
Given expression is,
[15 / (x - 6)] + [7 / (x + 6)]
Cross multiplying the two fractional expressions,
= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]
= [15x + 90 + 7x - 42] / [x² - 6²]
= (22x + 48) / (x² - 36)
Hence the equivalent expression is D.
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Richard has a total of 60 marbles, of which 12 are red marbles. The percentage of green marbles is 5% more than the percentage of red marbles. What is the approximate number of green marbles? OA. 16 OB. 15 OC.18 OD. 21
Answers
Answer:
15
Step-by-step explanation:
ok so you have 5% more than 12 right so add the 5% to the twelve for the closest approximation
Athletes in a particular sport are classified as either offense or defense. The distribution of weights for the athletes classified as offense is approximately normal, centered at 200 pounds, and ranges from 150 pounds to 250 pounds. The distribution of weights for the athletes classified as defense is approximately normal, centered at 300 pounds, and ranges from 250 pounds to 350 pounds. There are 1,000 athletes in each classification. Which of the following is the best description of a histogram of the weights of all 2,000 athletes?
A. Skewed to the right (positively skewed).
B. Skewed to the left (negatively skewed).
C. Approximately uniform and centered at 250 pounds.
D. Approximately normal and centered at 250 pounds.
E. Bimodal.
Answers
The best description of the histogram for the 2000 athletes will BE a BIMODAL distribution because two distinct peaks will be formed by the
The distribution has two obvious groups; The OFFENCE and DEFENSE each of which has a NORMAL distribution.
For a NORMAL distribution, we have a peak centered in between to tails.
• The left tail of the offense class is about 150
• Centre or peak at 200
• Right tail at about 250
The right tail of the offense class correlates to the left tail of the defense class which ranges from of 250 to 350 with it's centre at 300.
An histogram in the form of the picture attached below will be obtained.
Hence, there are two distinct peaks and the right tail of one distribution is synonymous with the left tail of the other.
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Twelve cards are numbered from 1 to 12 and placed in a box. One card is selected at random and not replaced. Another is randomly selected. What is the probability of selecting two even numbers?
Answers
In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:
In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).
The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22
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A section of a rectangle is shaded to form a trapezoid. The lengths of the 2 bases are 7 and x. The length of a side that forms a right angle with side x is 7. A section of a rectangle is shaded. The area of the shaded section is 63 square units. What is the value of x?
Answers
Given the shaded area of 63 square units, and the lengths of the bases and the right angle side, we can set up an equation using the formula for the area of a trapezoid. By solving this equation, we find that x is equal to 11.
Let's analyze the given information step by step to find the value of x.
We have a rectangle with two bases, one measuring 7 units and the other measuring x units. Additionally, there is a right angle formed with side x, which means that the height of the trapezoid is also 7 units. We are told that the area of the shaded section is 63 square units.
The formula to calculate the area of a trapezoid is (base1 + base2) * height / 2. Applying this formula to our situation, we can write the equation as (7 + x) * 7 / 2 = 63.
Simplifying the equation, we have (7 + x) * 7 = 126.
Expanding, we get 49 + 7x = 126.
Subtracting 49 from both sides, we have 7x = 77.
Dividing both sides by 7, we find x = 11.
Therefore, the value of x is 11.
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HELP ME OUT PLEASE!
What is the equation of this line?
Answers
The slope is positive because the line goes upward from left to right
To calculate the slope look at this image. In that triangle rise is 2 and run is 4, so the slipe is 2/4=1.2
The answer is the second option
What does 5 cubed equal?
Answers
Answer:
125
Step-by-step explanation:
it is the multiflication of 5 by itself 3 times (5×5×5=125)
5x5x5=125
Enter a range of values for x please help me
Answers
Answer:
-5 < x < 9
Step-by-step explanation:
By Hinge theorem,
"If two sides of a triangle are congruent to the two sides of another triangle, and the included angle of one triangle is larger than the included angle of the second, then the 3rd side of triangle one will be larger than the third side of the second"
23 > 21
Therefore, 42° > (3x + 15)°
42° - 15° > 3x
27 > 3x
9 > x
And (3x + 15) > 0
3x > -15
x > -5
Therefore, range for x will be,
-5 < x < 9
Kevin has completed 36% of his running marathon. he has ran 9 miles. How long is the marathon?
Answers
Answer:
25 miles
pls tell if I'm wrong
The scores of first-time players of a popular video game are recorded. The results follow a normal distribution curve. The mean is 12,388 points with a standard deviation of 953 points. What is the probability that a randomly selected player’s score is more than 11,950 points?
Answers
The probability that a randomly selected player's score is more than 11,950 points is approximately 0.8228 or 82.28%.
To calculate the probability that a randomly selected player's score is more than 11,950 points, we need to standardize the score using the formula for the z-score:
z = (x - μ) / σ
Where:
x = the score of the player
μ = the mean of the scores
σ = the standard deviation of the scores
Substituting the given values, we get:
z = (11950 - 12388) / 953
z = -0.46
Now, we need to find the area under the normal distribution curve that corresponds to a z-score of -0.46. We can use a standard normal distribution table or a calculator to find this area.
If using a standard normal distribution table, we can look up the area to the left of -0.46, which is 0.1772. However, we need the area to the right of -0.46, which is equal to 1 - 0.1772 = 0.8228.
Alternatively, we can use a calculator or software to calculate the probability directly. Using the standard normal distribution function with a z-score of -0.46, we get a probability of 0.3228.
Therefore, the probability that a randomly selected player's score is more than 11,950 points is approximately 0.8228 or 82.28%, which means that there is a high likelihood that a randomly selected player will have a score greater than 11,950 points.
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the base of a solid right pyramid is a square with an edge length of n units. the height of the pyramid is n-1 units
Answers
There for the answer is the volume of the pyramid is equal to V = 1/3 (n³ - n²).
What do math lengths mean?
The measurement or size of a thing end to end is referred to as its length. In other words, it is the larger of an object's upper two or three geometric dimensions. The dimensions of a rectangle, for instance, are its length and width.
We know that.
The volume of pyramid is equal to
V =1/3 (area of base) × height
In this problem
Area of base = n² units²
Height = (n - 1) units
Substitute in the formula above
V = 1/3 n² × (n - 1)
V = 1/3 (n³ - n²) units³
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13) Solve the following quadratic equations by completing the square: a) x^2- 12x = 11 b) x² +16x +5=0
Answers
we have
\(x^2-12x=11\)we have the the trinomial perfect square formula is
\(a^2+2ab+b^2\)we have
a=x
2xb=-12x
b=-12x/2x
b=-6
the trinomial square perfect need to be
\(x^2-12x+36=0\)we need to add +36 and subtract -36
\(x^2-12x+36-36=11\)\(x^2-12x+36=11+36\)\((x-6)^2=47\)then we can factorize
\(\mleft(x-6\mright)^2=47\)then we need to isolate x
\(x-6=\pm\sqrt[]{47}\)the values of x are
\(\begin{gathered} x_1=6+\sqrt[]{47} \\ x_2=6-\sqrt[]{47} \end{gathered}\)There are 8 ounces in a ½ pond. How many ounces are in 7¾ lbs
Answers
7 3/4 pounds contains 124 ounces
8 ounces = 0.5 pound
X ounces = 1 pound
X = 8 / 0.5 = 16 ounces
7 3/4 = 7.75
7.75 contains = 7.75 * 16
= 124 ounces
MISTERBRAINLYY!!
The paint in a certain container is sufficient to paint an area equal to 9.375m2. How many bricks of dimensions 22.5cm×10cm×7.5cm can be painted out of this container?
Answers
There are three area options for the number of bricks:
4165551250How many bricks can be painted out of a container?
The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:
n = A / A'
A' = w · h
Where:
w - Width of the brick, in centimeters.h - Height of the brick, in centimeters.There are three possible answers:
Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm
A' = 22.5 · 10
A' = 225
n = 93750 / 225
n = 416.667
n = 416
Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm
A' = 22.5 · 7.5
A' = 168.75
n = 93750 / 168.75
n = 555.556
n = 555
Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm
A' = 10 · 7.5
A = 75
n = 93750 / 75
n = 1250
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What is the greatest common factor of 26 and 4?
Answers
Answer:
2
Step-by-step explanation:
List of positive integer factors of 26 that divides 4 without a remainder. We found the factors and prime factorization of 4 ad 26. The biggest common factor number is the GCF number. So the greatest common factor 4 and 26 is 2.
The perimeter of the base of a square pyramid is 32 inches. The height of the pyramid is 3 inches. What is the surface area
Answers
Answer:
96
Step-by-step explanation:
good people please help!!!!!!! please!!!!!!
Answers
Clearer image, please!
2+2=
a. 3
b. 5
c. 4
d. 7
Answers
Answer:
C
Step-by-step explanation:
2
+2
-----
4
XZ is the perpendicular bisector of segment WY. Solve for k. Enter a NUMBER only.
Answers
The calculated value of k on the line is 9
How to determine the value of kFrom the question, we have the following parameters that can be used in our computation:
XZ is the perpendicular bisector of segment WY
This means that
WX = XY
substitute the known values in the above equation, so, we have the following representation
3k - 4 = 2k + 5
So, we have
3k - 2k = 4 + 5
Evaluate
k = 9
Hence, the value of k is 9
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5 555=0
9 313=1
8 193=3
8 096=5
8 806=6
2 581=?
Answers
Answer:3
Step-by-step explanation:
3
11 times the sum of a number and 3
Answers
Answer:
11(x+3) is correct answer. Please Mark it as brainlist answer.
Step-by-step explanation:
let's say the unknown number be x
11(x+3)Simplify it:
11(x+3)
=11x+33Please helppp :(((((
Answers
Answer:
I don't understand that question
I'll mark whoever answers first!! Please help me
Answers
Answer:
Center ( -8, 1 )
Radius ( 13 )
Decide which method of data collection you would use to collect data for the study. Specify either observational study, experiment, or simulation. A study where a political pollster wishes to determine if his candidate is leading in the polls for an upcoming election. Question options: simulation observational study experiment
Answers
Answer:
Observational study
Step-by-step explanation:
Observational studies usually requires the comparing the outcome or behavior of two or more subjects involved. In the scenario described above, the need to perform any experiment or simulation to make prediction. Once the polls is in progress, the outcome or result of the polls in polling centre's only need to be observed and noted.
Answer:
D
Step-by-step explanation:
Edge 2021
Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary. A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11. Select one:
-1.6; unusual
-17.6; unusual
-1.6; not unusua
l 1.6; not unusual
Answers
The z-score of -1.6 is less than 2.00 but greater than -2.00.
Hence, we can conclude that the value is not unusual.
The correct answer is: -1.6; not unusual.
When we are given a test score of 48.4 on a test that has a mean of 66 and a standard deviation of 11,
we need to find the corresponding z-score and determine whether the value is unusual or not.
The formula for calculating z-score is:
z = (x - μ) / σ
Where, z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.
Substituting the given values in the formula, we get: z = (48.4 - 66) / 11z = -1.6
Therefore, the z-score corresponding to the given value is -1.6.
Now, we need to determine whether this value is unusual or not.
A score is considered unusual if its z-score is less than -2.00 or greater than 2.00.
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Mila wants to buy a new computer from Computers are Us. The computer she wants to purchase costs $175.00 plus tax. The tax rate is 6%. How much will Mila pay for the computer?
Answers
Answer:
$185.50
Step-by-step explanation:
$175×.06
$10.50
$10.50+$175
$185.50
A real estate agency says that the mean home sales price in City A is the same as in City B. The mean home sales price for 30 homes in City A is $127,466. Assume the population standard deviation is $25,877. The mean home sales price for 30 homes in City B is $112,349. Assume the population standard deviation is $27,108. At alpha=0.01, is there enough evidence to reject the agency's claim? Complete parts (a) through (d) below.
(a) Identify the claim and state H_0 and_1Ha. What is the claim?
A. The mean home sales price in City A is greater than as in City B.
B. The mean home sales price in City A is less than in City B.
C. The mean home sales price in City A is the same as in City B.
D. The mean home sales price in City A is not the same as in City B.
Answers
The first three terms of a geometric
sequence are 3, 6, 12.
Answers
The next three terms in the geometric sequence will be 24, 48 and 96.
We are given a geometric sequence:
3, 6, 12 …
We need to find the next 3 terms of the sequence.
We can see that:
a = initial term of the sequence
a = 3
r = common ratio between the consecutive terms.
r = 6 / 3 = 2
Now, nth term will be represented by:
aₙ = a rⁿ⁻¹
Substituting the values of a and r in the formula, we get that:
aₙ = 3 (2)ⁿ⁻¹
Now, the 4th term will be ( put n = 4)
a₄ = (3) (2)⁴⁻¹
a₄ = (3) (2)³
a₄ = (3) × (8)
a₄ = 24
The 5th term will be: (put n = 5)
a₅ = (3) (2)⁵⁻¹
a₅ = (3) (2)⁴
a₅ = (3) × (16)
a₅ = 48
6th term will be: (put n = 6)
a₆ = (3) (2)⁶⁻¹
a₆ = (3) (2)⁵
a₆ = (3) × (32)
a₆ = 96
Therefore, the next three terms in the geometric sequence will be 24, 48 and 96.
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Your question was incomplete. Please refer the content below:
The first three terms of a geometric sequence are 3, 6, 12. What are the next three terms?