We observe that there are p² polynomials of the form x² + ax + b in Zp.
Since there are p choices for each of a and b.
Now a polynomial which is reducible over Zp may be rewritten in the form
(x - c)(x - d)
where c and d are roots.
So there are p choices if c = d
and if c ≠ d then there are [tex]\frac{p(p-1)}{2}[/tex] choices, the division of 2 eliminates repeated pairs.
Therefore there are p² - ( p + [tex]\frac{p(p-1)}{2}[/tex]) polynomials irreducible over Zp.
A polynomial is said to be irreducible if it cannot be factored into nontrivial polynomials over the same field. The property of irreducibly depends on the field or ring to which the coefficients are considered to belong. Irreducible polynomials appear naturally in polynomial factorization and algebraic field extension.
A polynomial expressible as the product of two or more polynomials of lower degree is known as Reducible polynomial.
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estimate the area under the curve given the following fuction, interval, and number of subintervals using the right endpoint method.
The area under the given curve is 77/60. SO the option B is correct.
In the given question we have to estimate the area under the curve given the following fuction, interval, and number of subintervals using the right endpoint method.
The given function is
F(x) = 1/x; [1,5]; n=4
The given options are:
A≈77/240
A≈77/60
A≈77/15
A≈25/3
A≈25/12
Since, f(x) =1/x
∆x = (b-a)/n
∆x = (5-1)/4
∆x =4/4
∆x = 1
Now the table is
x 1 2 3 4 5
f(x) 1 1/2 1/3 1/4 1/5
R(4) = [f(2)+f(3)+f(4)+f(5)]∆x
R(4) = [1/2+1/3+1/4+1/5]1
R(4) = (30+20+15+12)/60
R(4) = 77/60
Hence, the area under the given curve is 77/60. SO the option B is correct.
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The right question is given below:
Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42
Answer:
x = 13
x = 1
Step-by-step explanation:
The (x – 7)2 = 36 gives the value of x as 25.
What is 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. LHS = RHS is a common mathematical formula.
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:
(x – 7)2 = 36
Now, dividing both side by 2
(x – 7)2/2 = 36 /2
(x – 7) = 18
Now, add 7 both side
x- 7+ 7= 18 + 7
x = 25
Hence, the value of x is 25.
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A scatter plot containing the point (4,9) has the regression equation y=5x+2 what is the residual e when x=4?
Answer:
the observed value of 9 is 13 units lower than the predicted value of 22.
Step-by-step explanation:
A residual is the difference between the observed value of a data point and the predicted value of that data point based on a given model. In a regression analysis, the residual is calculated using the formula e = y - y', where y is the observed value, y' is the predicted value, and e is the residual.
In this case, we are given the point (4,9) and the regression equation y = 5x + 2. Plugging in the value x = 4 into the regression equation, we get:
y' = 5(4) + 2 = 22
Since we are also given that the observed value of the point (4,9) is 9, we can plug these values into the formula for the residual to calculate the residual:
e = 9 - 22 = -13
Therefore, the residual e when x = 4 is -13. This means that the observed value of 9 is 13 units lower than the predicted value of 22.
John spends $2.75 on donuts for his office employees every weekday. On Sunday mornings he takes his wife and kids to the donut shop and spends $12.99. How much money does John spend on donuts throughout the week?
Answer:
26.74
Step-by-step explanation:
add the money John spends on the week days(13.75) to 12.99 and you get your answer
Write a take from word problem that fits naturally with the equation 25- ?= 13
The word form of equation 25 - x = 13 will be the difference between 25 and the number 'x' is 13. And its solution is 12.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Let the missing number be 'x'. Then the equation is given as,
25 - x = 13
Simplify the equation, then the value of the variable 'x' will be given as,
25 - x = 13
x = 25 - 13
x = 13
The word form of equation 25 - x = 13 will be the difference between 25 and the number 'x' is 13. And its solution is 12.
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what is 7.04 as a mixed number
Answer:
you answer is 7 1/25
Step-by-step explanation:
0.04 ---> 1/25
7 ---> 7
7 + 1/25 = 7 1/25
Which of these quantities is a vector?
A. Time
B. Momentum
C. Distance
D. Speed
On solving the provided question, by the given information we can say that Momentum is a vector quantity.
What is vector quantity?A physical quantity that only has magnitude is known as a scalar quantity. such as distance, speed, mass, density, etc. However, vector quantities—which include displacement, velocity, acceleration, force, and mass—are physical quantities that have both magnitude and direction.
Momentum is a vector quantity.
It is directed and has a magnitude. According to Isaac Newton's second law of motion, the force pushing a particle has an equal and opposite effect on the time rate at which its momentum changes. Consider Newton's laws of motion.
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Find the measure of all three angles of the triangle with vertices at the pointsP(1,2,3); Q(3,4,2); and R(4,0,2).
The inverse cosine function to find the measures of the = arccos(-sqrt)
What is measure of angles?
Angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex.
To find the measures of the angles of a triangle, you can use the Law of Cosines, which states that the square of the length of a side of a triangle is equal to the sum of the squares of the lengths of the other two sides minus twice the product of the lengths of the other two sides and the cosine of the angle opposite the side in question.
In this case, we are given the coordinates of the vertices of the triangle and we want to find the measures of the angles. To do this, we can use the distance formula to find the lengths of the sides of the triangle and then use the Law of Cosines to find the cosines of the angles.
The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
where d is the distance between the two points with coordinates (x1, y1, z1) and (x2, y2, z2).
Using this formula, we can find the lengths of the sides of the triangle as follows:
PR = sqrt((4 - 1)^2 + (0 - 2)^2 + (2 - 3)^2) = sqrt(9 + 4 + 1) = sqrt(14)
PQ = sqrt((3 - 1)^2 + (4 - 2)^2 + (2 - 3)^2) = sqrt(4 + 4 + 1) = sqrt(9)
QR = sqrt((4 - 3)^2 + (0 - 4)^2 + (2 - 2)^2) = sqrt(1 + 16 + 0) = sqrt(17)
Now we can use the Law of Cosines to find the cosines of the angles:
cos A = (PR^2 + PQ^2 - QR^2) / (2 * PR * PQ)
= (14 + 9 - 17) / (2 * sqrt(14) * sqrt(9))
= (-4) / (2 * sqrt(14) * sqrt(9))
= -2 / (sqrt(14) * sqrt(9))
cos B = (QR^2 + PQ^2 - PR^2) / (2 * QR * PQ)
= (17 + 9 - 14) / (2 * sqrt(17) * sqrt(9))
= (2) / (2 * sqrt(17) * sqrt(9))
= 1 / (sqrt(17) * sqrt(9))
cos C = (QR^2 + PR^2 - PQ^2) / (2 * QR * PR)
= (17 + 14 - 9) / (2 * sqrt(17) * sqrt(14))
= (12) / (2 * sqrt(17) * sqrt(14))
= 6 / (sqrt(17) * sqrt(14))
Finally, we can use the inverse cosine function to find the measures of the angles:
A = arccos(-2 / (sqrt(14) * sqrt(9)))
= arccos(-2 / (2 * sqrt(7) * sqrt(3)))
= arccos(-1 / sqrt(7) * sqrt(3))
= arccos(-sqrt)
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which expotential function has a y-intercept of (0, -4)?
HELP WILL MARK BRAINLIEST
Answer:
[tex]y=2^x-5[/tex]
Step-by-step explanation:
The y-intercept occurs when x = 0.
Therefore, substitute x = 0 into each equation to find its y-intercept.
[tex]\begin{aligned}\implies y&=(-4)^0\\&=1\end{aligned}[/tex]
[tex]\begin{aligned}\implies y&=2^0-5\\&=1-5\\&=-4\end{aligned}[/tex]
[tex]\begin{aligned}\implies y&=3^0+4\\&=1+4\\&=5\end{aligned}[/tex]
[tex]\begin{aligned}\implies y&=(0)^{-4}\\&=0\end{aligned}[/tex]
Therefore, the exponential function that has a y-intercept of (0, -4) is:
[tex]\large\boxed{y=2^x-5}[/tex]
>) Solve:
1) 7 millions
thousands
hundred
Answer:
70
Step-by-step explanation:
1 million = 10 hundred thousands because 100,000 x 10 = 1,000,000
Suppose the life time (in hours) of a battery brand is normally distributed. A random sample of 16 batteries results in a sample variance of
3.25
hours
2
. We want to test if there is significant/sufficient evidence in the sample data to claim that the variance of the battery life population is different than 4 hours
2
at significance level of
0.05
. Which of the following is INCORRECT? A.
H 0
:σ 2
=4 vs H 1
:σ 2
=4
B. The test statistic is found to be
12.1875
C. We should reject the null hypothesis and there is sufficient evidence to claim that the variance of battery life is different than 4 hours
2
at significance level of
0.05
. D. None of the above.
there is not sufficient evidence to claim that the variance of the battery life population is different than 4 hours2 at a significance level of 0.05.
answer is D. None of the above.
To test if there is significant evidence to claim that the variance of the battery life population is different than 4 hours2, we can use a chi-square test.This is how the test statistic is computed:
X2 = (n-1)*(s2/σ2)
where n is the sample size, s2 is the sample variance and σ2 is the population variance.
In this case, n = 16, s2 = 3.25 and σ2 = 4
X2 = (16-1)*(3.25/4) = 12.1875
The critical value of X2 with 15 degrees of freedom and α = 0.05 is 24.996. Therefore, since 12.1875 < 24.996, we fail to reject the null hypothesis, and there is not sufficient evidence to claim that the variance of the battery life population is different than 4 hours2 at a significance level of 0.05.
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jennie charges $200 per passenger for a sunset sailing tour on her catamaran, while paul charges $250 per passenger. we can define the amount of money each person earns per cruise as a random variable. let a
According to the given charges, the mean of the sum would be as follows $1,692.5 and the difference of the amount of money earned by Jennie and Paul would be $-232.5
Mean:
In statistics, mean refers the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers
Given,
As Jennie charges $200 per passenger for a sunset sailing tour on her catamaran, while Paul charges $250 per passenger. we can define the amount of money each person earns per cruise as a random variable.
Here we need to find the mean and the difference of the amount of money earned by Jennie and Paul.
Let us consider x be the amount earned by Jennie and y be the amount earned by Paul.
While we looking into the given question , we have identified the value of the following,
=> Money earned by Jennie(A) = 200x
=> Money earned by Paul(B) = 250 X
Here the value of μ = $730 and σ = $ 192.62 for Jennie
And the value of Paul is μ = $962.5 and σ = $253.425
Then the mean of the sum is calculated as,
=> 730 + 962.5 = 1292.5
Similarly, the difference of the amount of money is calculated as,
=> -232.5
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Answer:
D) On average, Jennie makes $232.50 less than Paul in a typical cruise.
Step-by-step explantion
A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 114 inches (see figure). Find the dimensions of the package of maximum volume that can be sent. (Assume the cross section is square.)
X= ??????
Y= ???????
The dimensions of the rectangular package with the condition of maximum volume is equal to x = 19inches and y = 38inches.
As given in the question,
Let us consider length of the cross section which is square be x
Perimeter of the cross section is 4x
And y be the length of the rectangular package
Maximum combined ( length + perimeter of the cross section ) = 114
y + 4x = 114
⇒ y = 114 -4x
Volume of the package 'V' = x²y
⇒V = x²(114 -4x)
⇒V = 114x² -4x³
Differentiate both the side of the equation with respect to x,
dV/dx = 228x - 12x²
For maximum Volume
dV/dx =0
228x -12x² = 0
⇒12x( 19 -x ) =0
⇒12x = 0 or 19 - x =0
⇒x =0 or x =19
x =0 is not possible
⇒x =19inches
y = 114 - 4(19)
= 38inches
Therefore, the dimensions of the rectangular package with the given condition of volume is equal to x = 19inches and y = 38inches.
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Show the solution and answer
(3x + 5)(x - 9)
Tamia's curtain company is making curtains for a local hotel. She wants each curtain to be 24 inches long. At the fabric store, fabric is sold by the foot. If Tamia's curtain company wants to make 83 curtains, how many feet of fabric will she need?
1 inch =
1
12
foot
Tamia will need 166 feet of fabric
How to determine how many feet of fabric she will need?
Given that:
Tamia wants each curtain to be 24 inches long
At the fabric store, fabric is sold by the foot
Tamia's curtain company wants to make 83 curtains
1 curtain = 24 inches
83 curtains = 24×83 = 1992 inches
To convert inches to feet multiply by 1/12:
1992 inches = 1992 × 1/12 feet = 166 feet
Thus, she will need 166 feet
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Roberta took two tests. She scored 10 points more on the second test. Her average score for the two tests was 75 points. If x= her score on the first test, and y= her score on the second test, then the average is given by the formula x+y2. What did she score on the second test? She scored points on the second test. The solution is
If Roberta took two tests. She scored 10 points more on the second test. she score 70 on the second test.
How to find the number of score?Average score = (x+y)/2
he scored 10 points less on the second test than he did on the first.
y = x - 10
Replace y with x-10
(x + x - 10) / 2
(2x-10)/2
Average score on both tests is 75
(2x-10)/2 = 75
Multiply both sides of this equation by 2
2x-10 = 150
Add 10 to both sides
2x = 160
Divide both sides by 2x
x = 160/2
x = 80 (She got 80 on the first test)
He got 80 - 10 = 70 (She got 70 on the second test)
(80+ 70) / 2 = 150/2 = 75 (She got average of 75 on both tests)
Therefore she scored 70 on the second test is your solution.
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A 32-foot ladder leans against the building. Find the ground distance from the foot of the ladder to the building, if the angle of elevation is 45 °.
Answer:
Below
Step-by-step explanation:
This is a right triangle
the two legs are equal and the hypotenuse is 32 ft
Here is a way to calculate the answer with Pythagorean theorem
32 ^2 = L^2 + L^2
512 = L^2
L = sqrt (512) = 22.6 ft
Select the correct answer. What are the solutions to this equation? 16x2 + 9 = 25 A. x = -4 and x = 4 B. x = 0 and x = 4 C. x = 0 and x = 1 D. x = -1 and x = 1
Answer:
Step-by-step explanation:16x^2+9=25
16x^2=16
x^2=1
x=1 or -1
D
a nonprofit organization sells chances for a $50,000 classic mustang at $100 per ticket. it sells 1500 tickets and offers four prizes, summarized in the table. what are the expected winnings (or loss) for each ticket? (round your answer to the nearest cent.)
The nonprofit company charges $100 each ticket for the opportunity to win a $50,000 vintage Mustang. With four prizes and 1500 tickets sold, he expects to lose $54.53 on each one.
The chance of winning is multiplied by the bet multiplier to determine the mathematical anticipated value. Typically, expected value is estimated for a bet of one unit. To determine the predicted profit, multiply the win chance by the stake amount.
Chances of getting first prize = 1/1500
Chances of getting second prize = 1/1500
Chances of getting third prize = 1/1500
Chances of getting Fourth prize = 1/1500
Cost of one ticket = $100
Expected winning = -100 +1/1500 (56000 + 6600 + 4300 + 1300)
= -100 + 68200/1500
= - 54.53 dollars
There is an expected loss of $54.53.
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Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+6y= -18
Answer: [tex]y=-\frac{1}{2} x-3[/tex]
Step-by-step explanation:
[tex]3x+6y=-18[/tex]
[tex]-3x[/tex] [tex]-3x[/tex]
[tex]6y=-3x-18[/tex]
[tex]\frac{6y}{6} =\frac{-3x}{6} -\frac{18}{6}[/tex]
[tex]y=-\frac{1}{2 } x-3[/tex]
which of the following numbers does not have 8 as a factor? A. 25424, B. 15000, C. 36502, D. 10008
By dividing, we find The number that does not have 8 as a factor is C. 36502.
what is factor?A factor of a number is a positive integer that divides evenly into the number. For example, the factors of 6 are 1, 2, 3, and 6.
what is division?Division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to determine the quotient, which is the result of the division.
to check whether 8 is a factor of 25424, you can divide 25424 by 8:
25424 / 8 = 3178
Since the result is an integer, 8 is a factor of 25424.
To check whether 8 is a factor of 15000, you can divide 15000 by 8:
15000 / 8 = 1875
Since the result is an integer, 8 is a factor of 15000.
To check whether 8 is a factor of 36502, you can divide 36502 by 8:
36502 / 8 = 4562.75
Since the result is not an integer, 8 is not a factor of 36502.
To check whether 8 is a factor of 10008, you can divide 10008 by 8:
10008 / 8 = 1251
Since the result is an integer, 8 is a factor of 10008.
Therefore, the number that does not have 8 as a factor is C. 36502.
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Writing equations of lines
Write the equation of each line with the given information
through: (-5, -3), perp. to y = -5/7x -5
Answer:
y = [tex]\frac{7}{5}[/tex] x + 4
Step-by-step explanation:
Perpendicular slopes are opposite reciprocals.
So the slope is 7/5
Us the slope and the point to find the y intercept
m = 7/5
x = -5
y = -3
y= mx + b
-3 = (7/5)(-5) + b
-3 = -7 + b Add 7 to both sides
4 = b
y = mx + b
y = 7/5 x + 4
If other factors are held constant, which of the following sets of data would produce the largest value for an independent-measures t statistic? The two samples both have n 15, with sample variances of 20 and 25. The two samples both have n 15, with variances of 120 and 125. The two samples both have n 30, with sample variances of 20 and 25. The two samples both have n 30. with variances of 120 and 125 Save Question 15 (1 point) For the repeated measures t statistic. df n1 + n2 2 n1 -1)+ (n2 1) Save Question 16 (1 point
If other factors are held constant, sets of data that would produce the largest value for an independent-measures t statistic is the two samples both have n =30, with sample variances of 20 and 25
In a T test, the T statistic is used to help you decide whether to accept or reject the null hypothesis.
You utilize it in a manner that is quite similar to using a Z-score. When you don't know the population standard deviation or have a limited sample size, you use the t statistic.
You employ the T statistic with a p value while performing a hypothesis test. Your results' likelihood of being the result of chance is indicated by the p-value. Typically, in statistics, you use a T Test with a T Statistic rather than a Z score because you don't know much about the population.
To have larger t value , Combined standard deviation should be less
Therefore, n should be large and standard deviation should be less
Hence , The two samples both have n=30, with sample variances of 20 and 25 will provide us larger t-statistics
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The amount of goods and services that costs $200 on January 1, 1997 costs $230.16 on January 1, 2006. Estimate the cost of the same goods and services on January 1, 2013. Assume the cost is growing exponentially. Round your answer to the nearest cent. Table
As per the exponential growth function, the cost of the same goods and services in January 1, 2013 is $291.54
Exponential growth function:
In statistics, exponential growth function mean a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.
Given,
The amount of goods and services that costs $200 on January 1, 1997 costs $230.16 on January 1, 2006.
Here we need to estimate the cost of the same goods and services on January 1, 2013 and also assume the cost is growing exponentially. Round your answer to the nearest cent.
Here we know that the value of
Cost on 1997 = $200
Cost on 2006 = $230.16
So, the time difference is
=> 2006 - 1997 = 6
And the amount difference is
=> $30.16
So, based on the exponential growth function, the cost of goods and services at the time of 2013 is
=> 200 + ( 1 + 30.16)⁶
=> 200 + 91.54
=> 291.54
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The display shows musicians' ages in a community orchestra.
1 7 9
2 0 4 4 6
3 2 3 5 5 7
4 2 4 8 9
5 1 2
6 5
Key 1 7 = 17
Which of the following describes this data set?
Answer:
I think Numerical and univariate
Step-by-step explanation:
Answer:
Step-by-step explanation:
This would be numerical and univariate because the information shown represents a stem and leaf plot.
Hope this helps! :)
multiply the polynomial (x 2y)(x2 - 2xy 4y2). write your answer in descending order. please use the palette below to enter your answer.
The descending order of the polynomial is (x³ + 8y³)
The term polynomial in algebra is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division
Here we have given that (x+2y)(x²−2xy+4y²)
And we have to multiply the polynomial and write your answer in descending order.
Here we have the polynomial (x+2y)(x²−2xy+4y²).
Now, we have to use the identity
=> a³ + b³ = ( a² − ab + b² ) ( a + b ) ,
Now, we have to apply these identity one the given polynomial, then we get,
=> ( x + 2y ) ( x² − 2xy + 4y² )
=> (x³ + ( 2 y )³) = (x³ + 8 y³) .
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Which ordered pair is a solution to the system of linear equations 2x 3y equals 6?; What does 0 0 indicate about the solutions of the system Brainly?; What does 0 0 mean regarding the solution to the system?
The ordered pair which is a solution to the system of linear equations (0,2).
In mathematics, a system of linear equations refers to a collection of one or more linear equations which involve the same variables. In order to solve the system of linear equations, multiply each equation by a constant such as the coefficient of one variable becomes the same.
Hence, multiply 2x + 3y= 6 by 3 and –3x + 5y = 10 by 2.
3 (2x + 3y= 6)
6x + 9y = 18
2(–3x + 5y = 10)
-6x + 10 y = 20
Adding the two equations
6x + 9y = 18
-6x + 10 y = 20
19y = 38
y = 2
Substitute y in either of the equations:
2x + 3(2)= 6
2x = 6 – 6 = 0
x = 0
Hence, the solution is (0, 2)
The ordered pair (0,0) is not a solution as it will invalid the given linear equation.
Note: The question is incomplete. The complete question probably is Which ordered pair is a solution to the system of linear equations? 2x + 3y= 6 and –3x + 5y = 10. (0,2) (2,0) (3,2) (2,3)
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The graph of the function f(x) = (x + 2)(x + 6) is shown below.
On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes through (negative 2, 0).
Which statement about the function is true?
The function is positive for all real values of x where
x > –4.
The function is negative for all real values of x where
–6 < x < –2.
The function is positive for all real values of x where
x < –6 or x > –3.
The function is negative for all real values of x where
x < –2.
the interval, the function returns zero (-6,-2) –6 < x < –2
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
The given f(x) = (x + 2)(x + 6)
In this function, a quadratic equation is represented (vertical parabola open upward)
The vertex stands for a minimum.
the use of a graphing tool
view the attached image
x=-6 and x=-2 are the x-intercepts.
Point: the y-intercept
The point is called the vertex.
The range ——-> is the domain. (-∞,∞) (All real numbers) (All real numbers)
The range is in the range [-4,].
x -6 or x > -2 make the function positive.
For the interval, the function returns zero (-6,-2) –6 < x < –2
Hence, the interval, the function returns zero (-6,-2) –6 < x < –2
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Use the number line to plot –3, 1, and 3. Which statements are true? Select all that apply. –3 > 1 –3 = 3 1 < 3 –3 < 1
Both the inequalities (- 3 > 1 - 3 = 3) and (1 < 3 - 3 < 1) are false.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have the following integers -
- 3, 1 and 3.
The given inequality are -
- 3 > 1 - 3 = 3
1 < 3 - 3 < 1
- 3 > 1 - 3 = 3
- 3 > - 2 = 3
Which is false.
1 < 3 - 3 < 1
1 < 0 < 1
Which is false.
Therefore, both the inequalities (- 3 > 1 - 3 = 3) and (1 < 3 - 3 < 1) are false.
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a 60-hz induction motor is needed to drive a load at approximately 895rpm. part a determine the maximum number of poles required to drive the load at 895 rpm . express your answer as an integer. p
The maximum number of poles required to drive the load is 8.
full load speed = 120*f/p
850 = 120*60/p
p = 120*60/850
p = 8.47
since no. of poles are even so
p = 8
if number pole p = 8
synchronous speed Ns = 120*f/p = 120*60/8 = 900RPM
SLIP = (Ns - N)/Ns
s = (900-850)/900
s = 0.056
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