Answers
Domain is the set of x-values. In this case, since this is an inequality your domain in set notation is (-2,2] or -2<x<=2. Range is the set of y-values in set notation it would be (-2, 1] or -2<y<=1.
Finally, for the function find the slope of your equation (you can do this on your own)
Related Questions
Use the discriminant to determine all values of k which would result in the graph of
the equation y = -2x2 + kx – 18 being tangent to the x-axis.
Answers
Answer:
k = ±12
Step-by-step explanation:
Equation of the graph is,
y = -2x² + kx - 18
Discriminant of a quadratic equation, y = ax² + bx + c is defined by
Discriminant = √(b²- 4ac)
If √(b²- 4ac) = 0,
Equation will have one real solution.
Discriminant of the the given equation = √[k² - 4(-2)(-18)]
Since, graph of the equation is tangent to the x-axis, there will be one real solution.
Therefore, √[k² - 4(-2)(-18)] = 0
k² - 144 = 0
k = ±√144
k = ±12
A plane flew due north at 464 mph for 5 hours. A second plane, starting at the same point and at the same time, flew southeast at an angle 146' clockwise from due north at 405 mph for 5 hours. At the end of the 5 hours, how far apart were the two planes? R 11 2320 ml 4146 2025 m I
Answers
The distance between the two planes at the end of 5 hours is approximately 3364.6 miles.
The question is asking for the distance between two planes, one flying due north at 464 mph for 5 hours and the other flying southeast at an angle 146° clockwise from due north at 405 mph for 5 hours.
To solve this, we can use the Law of Cosines.
The formula for the Law of Cosines is:
c² = a² + b² - 2ab cos(C), where a and b are the side lengths and C is the included angle of the triangle we are solving. In this case, the distance between the two planes is the side length we are solving for.
We can use the given velocities and times to calculate the distances each plane travels, and we can use the given angle to calculate the included angle between the two paths.
Then we can apply the Law of Cosines to find the distance between the two planes.
Distance of the first plane = 464 mph × 5 hours = 2320 miles
Distance of the second plane = 405 mph × 5 hours = 2025 miles
The angle between the two paths is 360° - 90° - 146° = 124°.
Now we can plug in the values into the formula:
c² = a² + b² - 2ab cos(C)
c² = 2320² + 2025² - 2(2320)(2025) cos(124°)
c² = 11320520.03
c ≈ 3364.6
Therefore, the distance between the two planes at the end of 5 hours is approximately 3364.6 miles.
Rounding this to the nearest whole number gives us the answer of 3365 miles.
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If y = 32 when x = 8, find y when x = 30.
Answers
Answer:
The answer would be y = 120.
Step-by-step explanation:
If x is always 1/4 of y, then if x equals 30, y would be 4 times the amount of x. I hope this helps you! :)
The expression 53(1−x) gives the discounted price of a pair of shoes, where x is the percent of the discount written in decimal form. what does 1−x represent in the expression?
Answers
So, 1−x represents the percent of original price being paid as we know that if percentage is given in decimal form, then to get the percent of original.
What is decimal form?The decimal number framework has 10 digits which range from 0 to 9 with the base 10 and transformation from paired to decimal can assist us with better figuring out the compound parallel numbers. The decimal numeral framework is the standard framework for meaning number and non-whole number numbers. It is the augmentation to non-whole number quantities of the Hindu-Arabic numeral framework. The approach to meaning numbers in the decimal framework is frequently alluded to as decimal documentation. Numerous numeral frameworks of antiquated civilizations utilize ten and its powers for addressing numbers, perhaps on the grounds that there are ten fingers on all fours began counting by utilizing their fingers. Models are first and foremost the Egyptian numerals, then the Brahmi numerals, Greek numerals, Hebrew numerals, Roman numerals, and Chinese numerals.
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43. What four segments are perpendicular to plane JKPN?
Answers
Answer:
NRPQJMKLStep-by-step explanation:
Remember, the question ask for perpendicular segments, not perpendicular planes. Any segment that intersect with plane JKPN and create 90˚ angles are perpendicular.
My other question
Leon bought 6 books about animals, 9 books about outer space, and 4 books about trains. Each book cost $18. How much did Leon spend on the books?
Answers
Answer:
$342
Step-by-step explanation:
[Total books] 6 + 9 + 4 = 19 books
[Price] 19 * 18 = $342
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
a coin is tossed 9 times. what is the probability of getting at least one tail? express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
The probability of getting at least one tail when a coin is tossed 9 times is 0.8438. This can be calculated by adding the probability of getting 0 tails, 1 tail, 2 tails, 3 tails, 4 tails, 5 tails, 6 tails, 7 tails, 8 tails, and 9 tails together:
P(at least one tail) = P(0 tails) + P(1 tail) + P(2 tails) + P(3 tails) + P(4 tails) + P(5 tails) + P(6 tails) + P(7 tails) + P(8 tails) + P(9 tails)
= 0.0019 + 0.0156 + 0.0781 + 0.2051 + 0.3086 + 0.3086 + 0.2051 + 0.0781 + 0.0156 + 0.0019
= 0.8438
Therefore, the probability of getting at least one tail when a coin is tossed 9 times is 0.8438, which can be expressed as a decimal rounded to four decimal places.
The probability of getting at least one tail in a coin toss is 1 minus the probability of getting all heads.
The probability of getting a head in one toss is 0.5, so the probability of getting all heads in 9 tosses is 0.5^9 = 0.001953125.
So the probability of getting at least one tail is 1 - 0.001953125 = 0.998046875.
As a fraction, this can be written as 998046875/1000000000, which can be simplified to 511/512.
So the probability of getting at least one tail in 9 tosses is 0.9980 or 511/512.
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three points are chosen randomly and independently on a circle. what is the probability that all three pairwise distances between the points are less than the radius of the circle?
Answers
The probability that all three pairwise distances between the points are less than the radius of the circle is 1/12.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Since it doesn't matter where the first point is picked, it can be placed anywhere on the circle.
The following point must be within an arc of 60 degrees on either side, providing a total of 120 degrees and a chance of 1/3. The final point must be situated within 60 degrees of the first two.
If the first two points are apart by 60 degrees, the third point can be placed within an arc with a minimum area of freedom of 60 degrees and a chance of 1/6. If the first two points are the same, the third point can be placed with a maximum degree of freedom of a 120 degree arc and a 1/3 probability.
The chance changes linearly with increasing distance from the first point, up to a maximum of 60 degrees.
As a result, we may find 1/4, the average likelihood we can position the third point based on a fluctuating second point, by averaging the probabilities at either end.
Total probability is 1 × 1/3 × 1/4 = 1/12.
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mother bake some cookies she get one set of the cookies
Answers
Answer:
She got one set.
Solve each equation. log3x+log x=9
Answers
the equation in exponential form by converting it from logarithmic to exponential notation. In this case,The solution to the equation log3x + log x = 9 is x = ±√(10⁹/3).
To solve the equation log3x + log x = 9,
we can simplify it using logarithmic properties.
By using the property
loga + logb = log(ab),
we can rewrite the equation as
log(3x * x) = 9.
Simplifying further, we have
log(3x²) = 9.
Next, we can rewrite the equation in exponential form by converting it from logarithmic to exponential notation. In this case,
3x² = 10⁹.
Solving for x, we can divide both sides of the equation by 3, which gives us
x² = 10⁹/3.
Finally, taking the square root of both sides, we find that
x = ±√(10⁹/3).
So, the solution to the equation log3x + log x = 9 is x = ±√(10⁹/3).
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The discriminant of a quadratic equation is 7. Which statement best describes its roots?
- 2 imaginary root
- 1 real rational root
- 2 irrational real roots
- 2 rational real roots
Answers
Answer:
2 rational real roots.
which xxx best defines the function's integer vector parameter scores, if scores will have just a few elements, and the function will not change score
Answers
The function's integer vector parameter "scores" is most likely a read-only input parameter, which means it will not be modified within the function.
In programming, it is common for functions to have parameters that are used as inputs to the function. These parameters can either be modified within the function (called "output" or "in-out" parameters), or they can be read-only inputs that are not modified within the function. Based on the information provided in the question, it seems that the "scores" parameter falls into the latter category, meaning that it will have a few elements and will not be modified within the function.
In order to fully understand the role of the "scores" parameter in the function, we would need to see the code and understand the context in which it is used. However, based on the information provided in the question, we can make some assumptions about how the parameter is likely to be used. If the function is designed to perform some sort of calculation or analysis on the input data, then it is likely that the "scores" parameter is used as an input to that calculation. In this case, the function may need to access the values in the "scores" vector in order to perform some operation on them, but it would not modify the vector itself. On the other hand, if the function is designed to modify the input data in some way, then it is possible that the "scores" parameter could be modified within the function. However, based on the wording of the question ("the function will not change score"), it seems that this is not the case.
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A sequence begins with −15. Each term is calculated by adding 6 to the previous term. Which answer correctly represents the sequence described?
Answers
The answer that correctly represents the sequence described is:
-15, -9, -3, 3, 9, ...
What does a sequence mean?In mathematics, a sequence is an ordered list of numbers, called terms, that follow a certain pattern or rule. The terms of a sequence are usually indexed by natural numbers, starting from some fixed initial value.
A sequence can be either finite or infinite. A finite sequence has a fixed number of terms, while an infinite sequence goes on indefinitely. Sequences can be defined in many ways, such as explicitly giving the formula for each term or defining a recursive formula that describes how to calculate each term from the previous ones.
According to the given informationThe sequence described in the problem can be generated by starting with -15 and repeatedly adding 6 to the previous term. So the first few terms of the sequence are:
-15, -15 + 6 = -9, -9 + 6 = -3, -3 + 6 = 3, 3 + 6 = 9, ...
In general, we can write the nth term of the sequence as:
aₙ = aₙ₋₁ + 6
where a₁ = -15 is the first term.
Using this recursive formula, we can find any term in the sequence by adding 6 to the previous term.
Therefore, the answer that correctly represents the sequence described is:
-15, -9, -3, 3, 9, ...
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Five more than triple a number
Answers
Answer:
hope this helps
Step-by-step explanation:
five more: 5 +
three times the number q: 3q
Now put it together
What percentage of the shape is orange
Answers
If I am correct it is 88% because it is 22/25 = 0.88. Then you multiply by 100 and is 88
Atlantic LLC purchased furniture (seven-year property) on April 19 for $20,000 and used the half-year convention to depreciate it. Atlantic did not take section 179 or bonus depreciation in the year it acquired the furniture. During the current year, which is the fourth year Atlantic LLC owned the property, the property was disposed of on December 16. Calculate the maximum depreciation expense. (Use MACRS Table 1) (Round final answer to the nearest whole number.)
Answers
The maximum depreciation expense for the furniture in year 4 is $2,498.
To calculate the maximum depreciation expense for the furniture using the MACRS Table 1 and the half-year convention,
we need to follow these steps: Determine the property class: Since the furniture is a seven-year property, it falls under the MACRS property class of 7.
Determine the depreciation rate: Using MACRS Table 1, the depreciation rate for a seven-year property in year 4 is 12.49%.
Determine the half-year convention: Since the furniture was purchased on April 19, it is assumed to have been placed in service in the middle of the second quarter (i.e., July 1) and therefore qualifies for half-year depreciation in the first year of ownership.
Calculate the maximum depreciation expense: We can calculate the maximum depreciation expense for year 4 using the following formula: Maximum Depreciation Expense = Depreciable Basis x Depreciation Rate
The depreciable basis is the original cost of the furniture minus any salvage value or other deductions.
In this case, there is no salvage value or other deductions, so the depreciable basis is simply the original cost of $20,000.
Maximum Depreciation Expense = $20,000 x 12.49% = $2,498, Therefore, the maximum depreciation expense for the furniture in year 4 is $2,498.
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Find the volume of this prism.
8cm,9cm,11cm
V=0.5 time 8cm time 9cm time 11cm
V(answer)=396cm2
I hope it's right.
Answers
Answer:
792 cm³Step-by-step explanation:
Volume of prism:
V = lwhSubstitute dimensions:
V = 8*9*11 = 792 cm³For every 21 litres of petrol a car can run for 80 km.
How much petrol do you need (to 1 DP) to ensure the car has enough petrol of a trip that is 224 km?
Answers
Step-by-step explanation:
for 21 litres = 80 km
then for 1km= 21/80 litres
224 km = 224 × 1 km
= 224 × 21/80 = 58.8 litres
Here are two five-pointed stars. A student said, “Both figures A and B are polygons. They are both composed of line segments and are two-dimensional. Neither have curves.” Do you agree with the statement? Explain your reasoning.
Answers
Answer:A
Step-by-step explanation:
Bcnitsreksbeux
Create a rational expression that simplifies to 2x/(x+1)
and that has the following restrictions on x:
x ≠ −1, 0, 2, 3. Write your expression here.
Answers
Answer:
One possible rational expression that simplifies to 2x/(x+1) and meets the given restrictions is:
(4x^2 - 2x - 3) / [(x + 1)(x - 3)(x - 2)]
To see why this expression simplifies to 2x/(x+1), we can simplify the numerator and denominator separately:
Numerator:
2x(2x-1) = 4x^2 - 2x
Denominator:
(x+1)(x-3)(x-2)
Multiplying the numerator and denominator by -1 gives:
(-2x)(2x-1) / [(3-x)(2-x)(1+x)]
Then, we can rearrange the factors in the denominator to get:
(-2x)(2x-1) / [(x+1)(x-2)(x-3)]
Now we have the desired rational expression that simplifies to 2x/(x+1) and has the given restrictions on x.
Step-by-step explanation:
3(6-14)
Evaluate
0 -15
o 6
0 -1
06
Answers
Answer:
It's -15 hope this helped!!
Write an inequality to represent the graph.
Answers
Answer:
C
Step-by-step explanation:
WILL GIVE brainliest
Answers
Answer: 12.2
Step-by-step explanation: I did 8 times 6.3= 50.4
Then 8 times 4.4=35.2.
50.4-35.2=15.2 then minus the 3 is 12.2
4x + 1 = 3 can you give me a value for x that makes this equation true
Answers
Answer:
x = 0.5
Step-by-step explanation:
Answer:
x = \(\frac{1}{2}\)
Step-by-step explanation:
4x + 1 = 3 ( subtract 1 from both sides )
4x = 2 ( divide both sides by 4 )
x = \(\frac{2}{4}\) = \(\frac{1}{2}\)
If x is 6, then 7x = _____.
Answers
Answer:
\(42\)
Step-by-step explanation:
\(7(6) \\ = 42\)
Hope it is helpful...Answer:
\(42\)
Step-by-step explanation:
\(7x \\ = 7(6) \\ = 42\)
Hope it is helpful......A student in the Construction Trades program at the Cecil County School of Technology has 4 1/2gallons of paint. If he uses 2.75 gallons of the paint in one room, how many gallons of paint are left? Show your work on your paper and write your final equation and correct answer in the box below.
Answers
Answer:
1.75 gallons of paint
Step-by-step explanation:
A student in the construction trades program has 4 1/2 gallons of paint
If the student uses 2.75 gallons in one room then the gallons of paint that are left can be calculated as follows
= 4 1/2 - 2.75
= 9/2 - 2.75
= 4.5 - 2.75
= 1.75
Hence 1.75 gallons of paint are left
Mr. Porter drove 228 miles in six hours. How many miles on the average (mean) did he drive per hour?
Answers
Answer: 38 mph
Step-by-step explanation:
228 miles/6 hours = 38 miles/hour
"What set of reflections would carry hexagon ABCDEF onto itself?. . Hexagon ABCDEF on the coordinate plane with pointA at negative 1, 1, pointB at negative 3, 1, pointC at negative 4, 2, pointD at negative 3, 3, pointE at negative 1, 3, and pointF at 0, 2. . .x-axis, y=x, x-axis, y=x .. y=x, x-axis, y=x, y-axis .. y-axis, x-axis, y-axis .. x-axis, y-axis, y-axis ."
Answers
A set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".
What is a combination of reflections?
Combination of Two Reflections. A point or object once reflected can further be reflected to form a new image. The axes of these reflections may be parallel to each other or they intersect each other at a point.
Given the coordinates of hexagon ABCDEF, it can be determined that a set of reflections that would carry the hexagon onto itself would be a combination of reflections over the x-axis and y-axis.
One possibility would be to reflect over the x-axis, then reflect over the y=x line, and finally reflect over the x-axis again.
This would take the hexagon from its original position to itself.
Another possibility would be to reflect over the y = x line, then reflect over the x-axis, and finally reflect over the y-axis.
This would also take the hexagon from its original position to itself.
Hence, a set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".
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Classified ads in a newspaper offered for sale 20 used cars of the same make and model. The output of a regression analysis is given. Assume all conditions for regression have been satisfied. Create a 95% confidence interval for the slope of the regression line and explain what your interval means in context. Find the 95% confldence interval for the slope. The confidence interval is (Round to two decimal places as needed.)
Answers
Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.
This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.
The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.
Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].
It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].
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Si un celular Cuesta 4500 y tiene un descuento de 76%cuamto vq a pagar por el teléfono
Answers
De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.
¿Cuánto cuesta un celular con descuento?
En esta situación una persona recibe un descuento por la compra de su celular, el precio a pagar es el producto de multiplicar el coste sin descuento y el porcentaje remanente en forma fraccionaria. El porcentaje remanente se calcula al restar el descuento del cien por ciento. A continuación, procedemos al cálculo requerido:
x = 4500 × (1 - 76/100)
x = 1080
De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.
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