The given expression, 8x^4 - 2x³-1, is a quartic trinomial.
A trinomial is an algebraic expression with three terms, and a quartic trinomial is a trinomial in which the highest power of the variable is four. In the given expression, the highest power of the variable x is four, which makes it a quartic expression.
Moreover, it has three terms, making it a trinomial. Hence, the given expression is a quartic trinomial. The term 8x^4 is the leading term, which means that it has the highest degree and the coefficient is positive.
The constant term is -1, which is a real number that appears without any variable. Overall, the expression represents a polynomial of degree four, which is a quartic expression.
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is 3
Step-by-step explanation:
Or 3/1
Cheers! :)
PS: GOT AN QUESTION WORTH 10 POINTS ANYONE INTERESTED?
is the following a probability model? what do we call the outcome "red"?
The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.
A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).
Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.
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Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes eight hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?
The time required for the new guy to finish the car is given by the equation A = 10/3 hours = 3 1/3 hours
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the time required for the new guy to finish the car be A
Now , the equation will be
The total time worked by the two mechanics = 2 hours
The time for the 1st person to finish the car = 6 hours
So , the amount of work done in 2 hours by 1st person = 2/6 = 1/3 of total
The time for the 2nd person to finish the car = 8 hours
So , the amount of work done in 2 hours by 2nd person = 2/8 = 1/4 of total
And , the remaining work = 1 - ( 1/3 + 1/4 )
On simplifying the equation , we get
The remaining work = 1 - ( 7/12 ) = 5/12 of the work
Now , the time required for the 2nd person to complete 5/12 of the work =
A = 5/12 x 8
A = 5 x 2/3
A = 10/3
A = 3 1/3 hours = 3 hours and 20 minutes
Hence , the time required is 3 hours and 20 minutes
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A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of b in the drawing below?
Answer:
when the shapes are similar, ratio of their sides are the same
QR/MN = c/6 = PQ/LM = 2/4
c/6 = 2/4
c = 3
Step-by-step explanation:
Answer:
The answer is 11!
Step-by-step explanation:
Divide 22 by 2. :) took the quiz and this was correct
Chris and Evan are selling bags of popcorn to raise money for a club at school. Chris started with 10 bags and he sells 4 bags each day.
Evan began with 8 bags and sells 2 bags each day. How many days will it take before they both have the same number of bags remaining?
- A 2 days
B. 4 days
C 1 day
D 6 days
Answer:
1 day
Step-by-step explanation:
You can write an equation, or you can just see what happens each day.
Chris:
Start 10
1 day 6
2 days 2
Evan:
Start 8
1 day 6
Answer: C 1 day
Which of the following statements are true? Select all that apply. Help me please
A scenic train ride has one price for adults and one price for children. One family of two adults and two children pays 1054 Baht for the train ride. Another family of one adult and four children pays 1190 Baht. Find the price x for an adult and the price y for a child?
Answer:
x = price for adult = 306 Baht
y = price for children = 221 Baht
Step-by-step explanation:
Let
x = price for adult
y = price for children
2x + 2y = 1054 (1)
x + 4y = 1190 (2)
From (1)
x = 1190 - 4y
Substitute x = 1190 - 4y into (1)
2x + 2y = 1054 (1)
2(1190 - 4y) + 2y = 1054
2380 - 8y + 2y = 1054
- 8y + 2y = 1054 - 2380
- 6y = - 1326
y = -1326/-6
y = 221
Substitute y = 221 into (2)
x + 4y = 1190 (2)
x + 4(221) = 1190
x + 884 = 1190
x = 1190 - 884
= 306
x = price for adult = 306 Baht
y = price for children = 221 Baht
which of the following foods is the least expensive per ounce? multiple choice frozen sliced peaches at $2.99 per 16-ounce bag sliced peaches at $1.49 per 16-ounce can sliced peaches at $1.29 per 12-ounce can frozen sliced peaches at $2.59 per 10-ounce bag
Sliced peaches at $1.49 per 16- ounce can is the least expensive per ounce.
As the common term between every option is ounce , we'll calculate every value per ounce.
1 ] frozen sliced peaches = $2.99/ 16 = $0.18 per ounce.
2] Sliced peaches = $1.49/16 = $0.09 per ounce.
3] Sliced peaches = $1.29/12 = $0.10 per ounce.
4] Frozen sliced peaches = $0.25 per ounce.
On comparing the four values - b] $0.09 is the least expensive among them all.
Hence, sliced peaches at $ 1.49 per 16- ounce can is the least expensive per ounce.
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use the vertical line test to determine if the given relation is a function.
if y varies inversely as x, and x=-1 when y=3, what is x when y is 15?
Step-by-step explanation:
If y varies inversely as x, it means that their product is constant. We can write this relationship as y x k = constant, where k is the constant of variation.
To find the value of k, we can use the initial values given: "x=-1 when y=3". Substituting these values into the equation gives us:
3 x k = constant
We don't need to know the value of the constant, just that it is the same throughout. Now we can use this relationship to find x when y is 15:
y x k = constant
15 x k = constant
We can solve for x by isolating it:
15 x k = constant
x = constant / k
Since the constant is the same throughout, we can use the initial values to find k:
3 x k = constant
-1 x k = constant
Dividing these equations gives us:
3 / (-1) = -k / k
-3 = -k^2 / k
Simplifying:
k = -k^2 / 3
Multiplying both sides by -3:
3k = k^2
Rearranging:
k^2 - 3k = 0
Factorizing:
k(k - 3) = 0
So k = 0 or k = 3.
Since k cannot be zero (otherwise y would be zero for all x), we can use k = 3. Therefore, the equation is:
y x 3 = constant
Using this equation to find x when y is 15:
15 x 3 = constant
x = constant / 45
We don't need to know the value of the constant, just that it is the same throughout. Therefore, when y is 15, x is equal to constant divided by 45.
Hopes this helps
Find the circumference
A. 47.1
B. 22 in
C. 10.5 in
D. 35 in
Answer:
C ≈ 47.12389
Step-by-step explanation:
C = 2πr
r = 15/2
r = 7.5
C = 2π7.5
I need the answer , pls help !!
The two figures shown above are congruent. Identify the corresponding sides and angles
The corresponding sides and angles are ∠B=∠S , ∠A=∠R, ∠D=∠P, ∠C=∠Q& BA=SR , AD=RP, DC=PQ, BC=SQ
What is Congruence?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Given here: Two figures BADC and SRPQ
They are congruent trapezoids thus Two angles are congruent if and only if they have equal measures. Two segments are congruent if and only if they have equal measures.
Thus ∠B=∠S , ∠A=∠R, ∠D=∠P, ∠C=∠Q
Also BA=SR , AD=RP, DC=PQ, BC=SQ
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The quotient of a number and 6 minus 3 is 1
Answer:
(n÷6)-3=1
Step-by-step explanation:
HELPPPP PLEASEEEEEEE!!!!
Answer:
Depends on the range of x
Step-by-step explanation:
Does that make sense to you
please answer!!
options:
a) 2
b) -2
c) -4
d) 0
Work out the area of the semi circle pi = 3.142 and radius 5
Answer:
39.25
Step-by-step explanation:
Area of circle is pi(3.14) times r^2.
Semi means half
So 3.14 times 5^2 = 78.5
Its a semi ciricle so its 78.5/2 which is 39.25
state the relation between the quantities involved
Answer:
The domains (D) is the double/multiple of each range (R).
Step-by-step explanation:
The D is the multiple of each double (R). For example:
R is 1, so 1x1 is D 1.
R is 3, so 3x3 is D 9.
And so on.
Hope it helps! :)
2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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Find the midpoint of the segment with the following endpoints.
(9,6) and (5,2)
Answer:
\(M(7 ; 4)\)
Step-by-step explanation:
midpoint -M
\(M(\frac{x_{1}+x_{2}}{2} ; \frac{y_{1}+y_{2}}{2} )\)
\(M(\frac{9+5}{2} ; \frac{6+2}{2} )\)
\(M(7 ; 4)\)
Answer:
(7, 4 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )
Here (x₁, y₁ ) = (9, 6) and (x₂, y₂ ) = (5, 2) , then
midpoint = ( \(\frac{9+5}{2}\) , \(\frac{6+2}{2}\) ) = (\(\frac{14}{2}\) , \(\frac{8}{2}\) ) = (7, 4 )
Write a function for the output is half of the input x
Answer:
the equation?
Step-by-step explanation:
01110101010011101101000111011101010101010101010110
consider the grid of points shown here. suppose that, starting at the point labeled a, you can go one step up or one step to the right at each move. this procedure is continued until the point labeled b is reached. how many different paths from a to b are possible?
The following is an excerpt from A First Training in Probability by Sheldon Ross. (74) = 35 is the right response.
Total moves required are 7, as follows:
Three steps up as well as four steps right.
Remember that perhaps the number of paths equals the number of arranged 7-tuples with 3 U's and 4 R's. As instance, the word URRURRU indicates to travel up, right, up, right, right, up.
There are 7 ways to arrange these letters, 7 ways to arrange the corresponding Us, and 7 ways to arrange the comparable Rs, for a total of 7!3!4! (74).
For each NxN grid, we may write the following as a generalization of our formula: It should be noted that there's a simpler method of writing this: D = N! / (K! * (N-K))! additionally known as the binomial coefficient.
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For the students in your school, the mean score on a state-wide standardized test was 116. Is the mean score a parameter or a statistic? Explain your reasoning
What is the vertex of the absolute value function below?
Answer:
add file/link/pdf
i need help please !!!!!
Answer:
i just need the money'
Step-by-step explanation:
Answer:
Vertical Angles are Congruent
Step-by-step explanation:
Angle BCA and angle DCE are congruent since they are vertical angles. Lines BE and AD cross each other to make vertical angles. You can't really know if BC equals EC for sure, as well as how Alternate Interior Angles are Congruent. I don't know how else I can explain this, but I hoped it helped you understand why it is A = Vertical Angles are Congruent.
Calculate the unit rate: $19.20 for 6 feet of ribbon
Answer:
=$3.02
Step-by-step explanation:
$19.20 ÷ 6= $3.02
Hope I helped :))
Answer:
The unit rate is $3.20
Step-by-step explanation:
Unit rate is how much 1 unit of the material costs. So in our case the material is the ribbon. In order to find the unit rate we need to find how much does 1 foot of ribbon cost, we do that by dividing the total cost by the total number of feet, so we do...
19.20 / 6 = 3.20
Therefore the unit rate is $3.20
SOS
write the equation of a line that is parallel to the x-axis and passes through the point (3, 5).
The original price of a DVD is $12. The sale price is 75% off the original price. Find the sale price of the DVD.
Answer:
9 lol
Step-by-step explanation:
comming from a highscholer its 12% of 12 =9
hope this helps
morgan is analyzing her data and notices that the value of her mean is quite a bit smaller than the value of her median. she asks for your help in interpreting these results. what would you tell her?
We can interpret from the results that the distribution of data might be negatively skewed.
In the given question it is mentioned that while Morgan was analyzing her data, she notices that the value of her mean is quite a bit smaller than the value of her median.
As we know that, in statistics, when the mean is smaller than the median and mode, it indicates a negatively skewed distribution.
A negatively skewed distribution or left skewed distribution is a type of distribution in which more values are concentrated on the right side of the distribution graph while the left side of the graph is longer.
Hence, we can interpret from these information that the distribution of data of Morgan are negatively skewed.
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