Solve the inequality:
\(x^{3}-x^{2}-17x\leq 15\)
Answers
The solution sets of the cubic inequality x³ - x² - 17 · x ≤ 15 are: (i) x ≤ - 3, (ii) - 1 ≤ x ≤ 5.
How to solve a cubic inequality
In this problem we find the case of a cubic inequality, whose intervals must be found by algebra properties and sign laws. Now we proceed to show the procedure to solve the quadratic inequality. First, write the inequality:
x³ - x² - 17 · x ≤ 15
x³ - x² - 17 · x - 15 ≤ 0
Second, use numerical methods to find all roots of the cubic inequality and factor the expression:
(x - 5) · (x + 1) · (x + 3) ≤ 0
Third, find the possible solution sets:
Case 1: x ≤ - 3
Case 2: - 1 ≤ x ≤ 5
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Related Questions
Help pls
im braindead still XD
Answers
Answer:
-2.5 , -1 , 15.03 , 15.32
-10 , -6 1/2 , -1 , 0
0.02 , 0.2 , 2.02 , 2.2
Step-by-step explanation:
Answer:
-2.5 , -1 , 15.03 , 15.32
-10 , -6 1/2 , -1 , 0
0.02 , 0.2 , 2.02 , 2.2
Step-by-step explanation:
Kathie spent $38 on a fruit salad. She bought bananas, mangoes, and pineapples. Bananas cost $1 per pound, mangoes cost $2 per pound, and pineapples cost $3 per pound. Identify the linear equation in three variables that represent this situation.
Answers
Answer:
x+2y+3z=38
Step-by-step explanation:
here you go!
Question 9 of 10
A fellow classmate tosses 3 coins and finds that 2 of them come up tails.
Which of the following is the best conclusion for her to come to?
OA. She needs to keep flipping the coins until she gets 50% heads in
order to determine if they are fair.
OB. If she flips the coins once more, they will all come up heads.
OC. The coins are unfair.
OD. This could easily happen with a fair coin after only 3 flips.
Answers
The best conclusion for her to come to: D. this could easily happen with a fair coin after only 3 flips.
What is a fair coin?A fair coin can be defined as an idealized type of coin that has an equal probability of revealing both heads and tails when randomly tossed.
This ultimately implies that, the best conclusion for her to come to is that this could easily happen with a fair coin after only 3 flips considering 2 of the three coins come up tails.
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PLEASE HELP...FAST :)!!
You are playing a game similar to shuffleboard, where you need to slide a puck into the light gray area of the board in order to score points. The board is surrounded by wood boards that keep the puck in the playing surface. An image of the board and its dimensions are shown below.
What is the probability that you slide the puck into the light gray area? Your answer may be written as a fraction or a decimal
The probability is ________________
Answers
The probability that one can slide the puck into the light gray area will be 0.72.
How to calculate the probability?From the information given, the board is surrounded by wood boards that keep the puck in the playing surface.
In this case, the probability that you slide the puck into the light gray area will be:
= 4feet/(4 feet + 1.5 feet)
= 4/5.5
= 0.72
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Rewrite 92 and 146 as a product of their prime factors
Answers
Answer:
Step-by-step explanation:
92 -- 2*2*23
146 ---2*73
Solve the equation for x: 3x+y/z=2?
Answers
Answer:
x= 2/3-y/z
Step-by-step explanation:
step1: 3x+y/z=2
step2: 3x= 2-y/z
step3: 3x/3 = (2-y/z)/3
step 4: x= 2/3- y/z
Answer:
\(x=\frac{2z-y}{3z}\)
Step-by-step explanation:
Given:
\(3x+\frac{y}{z} =2\)
Solution:
\(3x+\frac{y}{z} =2\)
Multiply both sides by \(z\):
\(3xz+y=2z\)
Take \(+y\) to the other side:
\(3xz=2z-y\)
Divide \(3z\) by both sides:
\(\frac{3xz}{3z} =\frac{2z-y}{3z}\)
\(x=\frac{2z-y}{3z}\)
I don’t know what to do or how to do this
Answers
Best Fit Line
Given a series of points that represent some measures in the real world, for example, the heights vs the age of a group of children, when we plot it on a rectangular grid, we get a scatter plot, not necessarily aligned as to form a specific graph.
Sometimes is vital to have a known function that best represents the whole dataset, so we can make predictions.
The best fit line is widely used to do that. We can recognize the best fit line because it usually goes through the maximum number of points and the sum of the distances to each one of them is minimum.
From the three graphs given in the question, it's evident the first line is totally outside the set of points, so it does not do a good job representing the dataset.
The second graph approximates much better to a best-fit line but we can still see the trend of the line does not follow the trend of the dotted path.
Finally, the third graph looks very adequate to represent the scattered points because it keeps always close to them and follows their trend.
What is the measure of angles 1, 2, and 3?
Answers
Answer:
1= 70
2= 65
3= 95
For 1, just solve 180-(65+45) and then for 2, subtract #1 and 45 from 180. Then just solve for #3 by using 180-(#2+20)
2 is 65° because a line is equal to 180° as well so since 1 is 70 and being given 45, we add them to get 115 and 180-115 is 65.
3 is 95°because a triangle is equal to 180° so since 2 is 65 and being given 20°, you add those to get 85° and 180-85 is 95.
0.7686 ÷ -0.14 can someone answer this within 1 min for five star answer
Answers
Answer:
-5.49
Good Luck!!!
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'. Write a proportion that would have to be true, involving the side lengths of the quadrilaterals
(Hint: use the / key to get fractions!)
Answers
The true proportion of the side lengths of the quadrilaterals is A'B'/AB
How to determine the true proportion of the quadrilaterals?From the question, we have the following parameters that can be used in our computation:
Quadrilaterals ABCD and A'B'C'D
These quadrilaterals are similar
So, it means that the corresponding side lengths are proportional
So. we have
Side length = AB
Corresponding side length = A'B'
The true proportion is then represented as
k = Corresponding side length/Side length
Substitute the known values in the above equation, so, we have the following representation
k = A'B'/AB
Hence, the proportion is A'B'/AB
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Translate to an inequality. The amount of water is not to exceed 300 liters. The inequality is L.
Answers
We need to write an inequality from statement "The amount of water is not exceed 300 liters".
We call x the litters of water, so the inequation is:
\(x\leq300\)write the equation in standard form for the circle that has a diameter with endpoints (1,17) and (1,-1)
Answers
The equation in standard form for the circle with diameter endpoints (1,17) and (1,-1) is (x - 1)^2 + (y - 8)^2 = 81.
To write the equation of a circle in standard form, we need to use the formula: (x - h)^2 + (y - k)^2 = r^2 Where (h,k) is the center of the circle and r is the radius.
We can use the midpoint formula to find the center of the circle, which is the midpoint of the diameter: Midpoint = ((x1 + x2)/2 , (y1 + y2)/2) Substituting the given endpoints, we get: Midpoint = ((1 + 1)/2 , (17 + (-1))/2) = (1, 8) So the center of the circle is (1,8).
Now we need to find the radius, which is half the length of the diameter: Length of diameter = sqrt((1-1)^2 + (17-(-1))^2) = sqrt(18^2) = 18 Radius = 18/2 = 9 Substituting the center and radius in the standard form equation, we get: (x - 1)^2 + (y - 8)^2 = 9^2 Simplifying, we get: (x - 1)^2 + (y - 8)^2 = 81
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FREE
What is the inverse of the function f(x) = 4x + 8?
1
O h(x) = = x-2
4
Oh(x) = x + 2
4
()
ncx) = x + 2
o mw = 3x-2
o ncx) = x+2
O h(x) = 1
D
(
Answers
Answer:
f⁻¹(x) = x/4 - 2
Step-by-step explanation:
Interchange the variables.
Solve for y.
Replace
y with f⁻¹ (x) to show the final answer.
Verify if f⁻¹ (x) = x/4 − 2 is the inverse of f(x) = 4x + 8.
Scenario 1A Calculate the following amounts for a participating provider who bills Medicare and has no deductible left. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Coinsurance amount (20% paid by) $ Medicare payment (80 percent of the PFS) $ Provider write-off $ Scenario 1B Calculate the following amounts for a participating provider who bills Medicare and remaining annual deductible for the patient. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Patient pays $100 remaining on their deductible $ Remaining amount for Insurance and patient to pay $ (PFS - $100) Coinsurance amount (20% of remaining amount) $ Total paid by patient (deductible & 20% of remaining) $ Medicare payment (80 percent of the remaining amount) $ Provider write-off $
Answers
Scenario 1A:
Coinsurance amount is $90
Medicare payment is $360
Provider write-off is $290
Scenario 1B:
Remaining amount for Insurance and patient to pay is $350
Coinsurance amount is $70
Total paid by patient is $170
Medicare payment is $280
Provider write-off is $370
Scenario 1A:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Coinsurance amount (20% paid by patient): $
Medicare payment (80% of the PFS): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Coinsurance amount (20% paid by patient):
Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)
Coinsurance amount = 0.2 * $450 = $90
Medicare payment (80% of the PFS):
Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)
Medicare payment = 0.8 * $450 = $360
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $360 = $290
Scenario 1B:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Patient pays $100 remaining on their deductible
Remaining amount for Insurance and patient to pay: $
Coinsurance amount (20% of remaining amount): $
Total paid by patient (deductible & 20% of remaining): $
Medicare payment (80% of the remaining amount): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Remaining amount for Insurance and patient to pay:
Remaining amount for Insurance and patient to pay = PFS - remaining deductible
Remaining amount for Insurance and patient to pay = $450 - $100 = $350
Coinsurance amount (20% of remaining amount):
Coinsurance amount = 20% of the remaining amount
Coinsurance amount = 0.2 * $350 = $70
Total paid by patient (deductible & 20% of remaining):
Total paid by patient = remaining deductible + coinsurance amount
Total paid by patient = $100 + $70 = $170
Medicare payment (80% of the remaining amount):
Medicare payment = 80% of the remaining amount
Medicare payment = 0.8 * $350 = $280
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $280 = $370
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a factory produces xn gadgets on day n where the xn are independent and identically distributed random variables, with mean 5 and variance 9.
Answers
The factory's production follows a distribution with a mean of 5 and a variance of 9, indicating that the average daily production is 5 gadgets with some variability around that average.
A factory produces xn gadgets on day n, where xn represents the number of gadgets produced. The variables xn are independent and identically distributed random variables, meaning that each day's production is not affected by previous days and follows the same distribution.
Given that the mean of the xn variables is 5 and the variance is 9, we can conclude that on average, the factory produces 5 gadgets each day. The variance of 9 indicates that there is some variability in the daily production, with values ranging above and below the mean.
To further understand the concept, let's consider an example. Suppose we observe the production over 10 days, and the number of gadgets produced on each day are as follows:
4, 7, 3, 6, 2, 8, 5, 5, 4, 6.
From this data, we can calculate the mean as
(4+7+3+6+2+8+5+5+4+6)/10 = 5.
The calculated mean matches the given mean of 5.
Similarly, we can calculate the variance using the formula
: (1/10) * [(4-5)² + (7-5)²+ (3-5)² + (6-5)² + (2-5)² + (8-5)² + (5-5)² + (5-5)² + (4-5)² + (6-5)²] = 9.
The calculated variance also matches the given variance of 9.
In conclusion, the factory's production follows a distribution with a mean of 5 and a variance of 9, indicating that the average daily production is 5 gadgets with some variability around that average.
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what is this answer
x-6=4
Answers
Answer:
10
Step-by-step explanation:
cause ten minus six is 4
Step by step explanation:
Add 6 to both sides of the equation
X-6+6=4+6
Simplify by adding 6+4
X=10
Hope this helps
Statistics when mode is best measure of central tendency.
Answers
Answer:
The mode is the least used of the measures of central tendency
Step-by-step explanation:
In a certain population, 18% of the people have Rh-negative blood. A blood
bank serving this population receives 95 blood donors on a particular day. Use the normal
approximation for binomial random variable to answer the following: (a) What is the
probability that 15 to 20 (inclusive) of the donors are Rh-negative? (b) What
is the probability that more than 80 of the donors are Rh-positive?
Answers
a) The probability that 15 to 20 (inclusive) of the donors are Rh-negative is 0.5406.
b) The probability that more than 80 of the donors are Rh-positive is 0.0199.
(a) Given that p = 0.18 and q = 0.82
The mean, μ = np = 95 × 0.18 = 17.1
The variance, σ² = npq = 95 × 0.18 × 0.82 = 13.77
Then, the standard deviation σ = √(npq) = √13.77 ≈ 3.71
Using the Normal approximation for binomial distribution, we need to find the probabilities of P(X ≤ 20) and P(X ≤ 14).
P(X ≤ 20) = P(Z ≤ (20 - μ) / σ) = P(Z ≤ (20 - 17.1) / 3.71) = P(Z ≤ 0.78) = 0.7823P(X ≤ 14) = P(Z ≤ (14 - μ) / σ) = P(Z ≤ (14 - 17.1) / 3.71) = P(Z ≤ -0.84) = 0.2005
The required probability is given by;
P(15 ≤ X ≤ 20) = P(X ≤ 20) - P(X ≤ 14) = 0.7823 - 0.2005 = 0.5406
Therefore, the probability that 15 to 20 (inclusive) of the donors are Rh-negative is 0.5406.
b) We are required to find the probability that X > 80.Given that p = 0.82 and q = 0.18
The mean, μ = np = 95 × 0.82 = 77.9
The variance, σ² = npq = 95 × 0.82 × 0.18 = 13.77
Then, the standard deviation σ = √(npq) = √13.77 ≈ 3.71P(X > 80) = P(Z > (80 - μ) / σ) = P(Z > (80 - 77.9) / 3.71) = P(Z > 0.57) = 0.2843
The probability that more than 80 of the donors are Rh-positive is 0.0199.
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Solve for d.
-2 – 9d = -10d - 9
Answers
Answer:
d = -9
Step-by-step explanation:
-2 - 9d = -10d - 9 (combine liked terms)
+2 +2 (added two to each side)
-9d = -10d - 9 (combined liked terms again for d this time)
+10d +10d
1d = -9 (isolate x so divde one from each side)
d = -9
find the median for -4, 5, 12, 11, -6, 7, 20, 4, 16, 10, 13
Answers
Answer:
10
Step-by-step explanation:
The median is the number in the middle when they are in order
-6, -4, 4, 5, 7, 10, 11, 12, 13, 16, 20
Cause the median is the number in the middle when they are all in order
b. find the p-value, round to three decimals as needed
c. reject h0 or fail to reject h0
d. At the 1% level of significance, there is or
is not enough evidence to support
or reject the claim.
Test the claim about the difference between two population means ₁ and μ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distribut
Answers
The content you provided is related to hypothesis testing and determining the significance of a statistical test. Let's break down each component:
a. The claim being tested is about the difference between two population means, denoted as ₁ and μ₂.
b. The p-value is a measure of the strength of evidence against the null hypothesis (h0). It represents the probability of obtaining the observed data (or more extreme) assuming that the null hypothesis is true. To find the p-value, you would perform the statistical test and calculate the corresponding value. The p-value is typically rounded to three decimals.
c. When conducting a hypothesis test, you can either reject the null hypothesis (h0) or fail to reject it. The decision is based on the p-value. If the p-value is smaller than the predetermined significance level (α), you reject the null hypothesis. If the p-value is greater than or equal to α, you fail to reject the null hypothesis.
d. The statement refers to the conclusion drawn from the hypothesis test at a specific significance level (α). In this case, the 1% level of significance is being considered. If the p-value is less than 0.01 (1% as a decimal), there is enough evidence to support rejecting the claim made in the null hypothesis. On the other hand, if the p-value is greater than or equal to 0.01, there is not enough evidence to reject the claim made in the null hypothesis.
Overall, the content you provided describes the process of testing a claim about the difference between two population means, calculating the p-value, and determining whether to reject or fail to reject the null hypothesis based on the p-value and significance level.
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What is another way to express 11 + 77
Answers
Another way to express 11 + 77 is to using absolute values making it equal to
|-11 + -77|How to find another way to express equationThe use of equality sign introduces a number or equation which is equal and hence can be used to replace another item
solving this expression gives 11 + 77 = 88
The equation can also be replace in equation terms using absolute values
where it can be written as
|-11 + -77|
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Find f if f ′′
(x)=4−6x,f(0)=9, and f(2)=7 Answer: f(x)=
Answers
The answer is f(x) = x² - 3x³/4 + 9x - 21/2.
Given that f''(x)= 4 - 6x, f(0) = 9 and f(2) = 7
We are to find the function f(x).
Integration of f''(x) will give the function f(x).∫f''(x) dx = ∫(4-6x) dx∫f''(x) dx = 4x - 3x²/2 + C
Integrating once more,∫f'(x) dx = 2x - 3x²/2 + C ……………….. (1)f'(x) = 2x - 3x²/2 + K ………………… (2)
We have two unknown constants C and K in the expression
(2). To find these unknown constants we use the given initial conditions.
The given initial condition is f(0) = 9.
Hence substituting x = 0 in (1) we have9 = 0 - 0 + Cso C = 9.
Substituting C in (1) we have f'(x) = 2x - 3x²/2 + 9
Applying initial condition f(2) = 7.∫f'(x) dx = ∫2x - 3x²/2 + 9 dx∫f'(x) dx = x² - 3x³/4 + 9x + D
Where D is another constant of integration.
Applying f(2) = 7, we have7 = 4 - 3(8)/4 + 18 + D => D = - 21/2
Substituting the value of D in the above equation, we have f(x) = x² - 3x³/4 + 9x - 21/2
This is the required function f(x). Therefore, the answer is f(x) = x² - 3x³/4 + 9x - 21/2.
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PLZZ answer this in a simple method
Answers
Answer:
hope this help you
of my handwriting is bad then sorry.
Answer:
have a great day
may god bless you a lot
Give an example of a pyramid and a prism that have the same base and the same volume. Explain your reasoning.
Answers
An example of a pyramid and a prism that have the same base and volume is a triangular pyramid and a triangular prism with congruent bases and heights.
Let's consider a triangular pyramid and a triangular prism with congruent bases and heights. Both shapes have a triangular base, meaning their base area is the same. The volume of a pyramid is given by the formula V = (1/3) * base area * height, whereas the volume of a prism is calculated as V = base area * height.
Since the bases of the pyramid and prism are congruent, their base areas are equal. In order for the pyramid and prism to have the same volume, the height of the pyramid must be three times the height of the prism. This is because the volume of a pyramid is one-third of the volume of a prism with the same base and height.
By choosing a triangular pyramid and a triangular prism with congruent bases and heights, we ensure that the base area and the height are the same for both shapes. Therefore, their volumes will also be equal.
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What is the slope of y = x + 5?
Answers
Answer:
1
Step-by-step explanation:
sorry im late
can someone help me please
Answers
Answer:
3/6=4/8 so DE=BC
the length of all 3 sides are proportional so the angles are the same
Step-by-step explanation:
I don't need answer I need explanation
\(28 - 10 \sqrt{3} \)
equal to
\((5 - \sqrt{3} ) ^{2} \)
Can someone explains
Answers
Given :-
28 - 10√3To Prove:-
28 - 10√3 = (5-√3)²Proof:-
Given expression ,
28 - 10√3 .On splitting the rational part ,
25 + 3 - 10√35² + (√3)² - 10√35² +(√3)² - 2*5*√3As we know that ,
a² + b² - 2ab =(a-b)²Hence,
( 5 -√3)²Hence proved ;!
HELP HELP HELP PLS If DF = 6x - 2 and FE = 10x - 18, then which the correct equation to solve for x? 2(6x - 2) = 10x - 18 6x - 2 +10x - 18 = 180 6x - 2 = 10x - 18
Answers
From what u have given this should be the correct answer since they are most likely equal
During exercise, an individual's heart rate tends to increase steadily until __________. A. the athletic activity is completed and the cool down begins B. the individual begins to use advanced breathing techniques C. a level of consistent intensity has been reached D. none of the above Please select the best answer from the choices provided. A B C D
Answers
Answer: C. a level of consistent intensity has been reached
Step-by-step explanation:
When an individual is excercising or carrying out a strenuous task The individuals heart beat would increase steadily until he has achieved a level of consistent intensity. Intensity is that drive to show more energy, power, concentration and strength and being able to maintain this for a period of time is known as consistency.
Answer:
c
Step-by-step explanation:
I took the test