is (y+3) a factor of the polynomial: y^3-6y+9
Answers
(y + 3) is not a factor of the polynomial y^3-6y+9.
Define polynomial.A polynomial is an equation made up of terms, exponents, constants, variables (or indeterminate values), and variables. The polynomial 3x2 -2x-10 is an illustration. Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video. An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Given,
Polynomial
y³ - 6y + 9
(y+3) as a factor
(y + 3) (y+3)
y² + 3y + 3y + 9
y² + 6y + 9
(y + 3) is not a factor of the polynomial: y^3-6y+9.
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Related Questions
NEED HELP IN LESS THAN 5 MINUTES!!!
Sara has taken four math tests so far this year. She has scored a 93, 96, 85, and 87. What score does she have to get on her fifth math test for her mean test score to be AT LEAST a 91.
Answers
Answer:
At least a 94
Step-by-step explanation:
(b) If you put $7750 in the ATM each day, what percent of the days in a month should you expect to run out of cash?
Answers
The percent of the days in month that the cash will run out is given as: 23.33%. See the computation below.
What is the explanation that justified the above answer?Money put in ATM per day=$7750
We have to find the percent of days in a month you should expect to run out of cash.
From the given information
There are 7 days in which you run out cash more than $7750
Assuming that the total number of days in a month = 30
Hence, we can arrive at the above value by saying:
(Corresponding days/Total number of Days) * 100
From we above we state:
(7/30) * 100
= 23.33%
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The profit of a company , in dollars, is the difference between the company's revenue and cost. The cost C(x) and revenue, R(x) are functions for a particular company The x represents the number of items produced and sold to distributors
Answers
The maximum profit that the considered company can get is 142,400 bucks. That profit is earned when input x (the number of items produced) is 380
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.
The missing part of question is:
" \(C(x)=2000+70x\), \(R(x)=830x-x^2\)
A. Determine the maximum profit of the company.
B. Determine the number of items that must be produced and sold to obtain the maximum profit"
The profit is the difference between the revenue and the cost, so we get:
\(P(x) = R(x) - C(x) = 760x - x^2 - 2000\)
Finding its first and second rate with respect to x:
\(P'(x) = 760 -2x\\P''(x) = -2\)
Equating first rate to 0 to get the critical values:
\(P'(x) = 0 \implies 760 = 2x \implies x = 380\)
The second rate is < 0 for any x, x = 380 is minima, and x = 380 being only critical value, it is global maximum.
At x = 380, the profit evaluates to:
\(P(x) = 760x - x^2 - 2000\\P(380) = 760(380) - (380)^2 - 2000 = (380)^2 - 2000\\P(380) = 142400\)
Thus, the maximum profit that the considered company can get is 142,400 bucks. That profit is earned when input x (the number of items produced) is 380
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The botanist would like to estimate the average weight of mustard seeds grown in a certain type of soil; weight of the seeds is known to follow a normal distribution. The botanist collects a random sample of 10 mustard seeds and finds that the sample average and sample standard deviation are 528 mg and 49 mg respectively. Select from the following the correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data.
a. (480.1, 539.9)
b. (525.2, 534.8)
c. (479.4, 540.6)
d. (473.6, 546.4)
e. The necessary assumptions have not been satisfied and the calculation cannot be performed.
f. (469.4, 550.6)
Answers
Answer:
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.9}{2} = 0.95\). So we have T = 1.833
The margin of error is:
\(M = T\frac{s}{\sqrt{n}} = 1.833\frac{49}{\sqrt{10}} = 28.4\)
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 528 - 28.4 = 499.6 mg
The upper end of the interval is the sample mean added to M. So it is 528 + 28.4 = 556.4 mg
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
10 POINTS!!!!Which polynomial represents the sum below?
Answers
Answer:
B
Step-by-step explanation:
if you combine like terms, you'll get B
HELP PLZ what's the distance for this question
Answers
Answer:
\(Distance = 770ft\)
Step-by-step explanation:
Given
\(Height =986\)
\(\theta = 52\)
Required
The distance between the tower and Eiffel
The distance is calculated using:
\(tan\alpha = \frac{Distance}{Height}\)
Where
\(\alpha = 90 - \theta\) --- the angle between the diagonal line and the vertical line
\(\alpha = 90 - 52\)
\(\alpha = 38\)
So, we have:
\(tan(38) = \frac{Distance}{986}\)
\(Distance = 986 * tan(38)\)
\(Distance = 986 * 0.7812\)
\(Distance = 770ft\) --- approximated
An angle measure is 4 more than twice it’s complement. What would it’s supplement measure?
Answers
The measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.
What is an angle?An angle is a figure in plane geοmetry that is created by twο rays οr lines that have a shared endpοint. The twο rays are termed the sides οf an angle, and the cοmmοn terminatiοn is called the vertex. Angles are typically expressed as degrees. A "prοtractοr" is a crucial geοmetrical instrument that aids in measuring angles in degrees. Twο sets οf numbers οn a prοtractοr are οriented in οppοsitiοn tο οne anοther. On the οutside rim, οne set gοes frοm 0 tο 180 degrees, while οn the inner rim, the οther set gοes frοm 180 tο 0 degrees.
Let the angle be x.
Twο angles are cοmplementary when their sum is 90°.
Tοw angles are supplementary when their sum is 180°
If x is οne angle, then its cοmplementary angle is (90-x)°
Given x is 4 mοre than twice its cοmplement.
We can write the equatiοn as:
x = 4 + 2*(90-x)
Sοlving,
x = 4 + 180 - 2x
3x = 184
x = 61.33°
Nοw we are asked tο find the supplementary angle οf x.
Supplementary angle = 180 - x = 180 - 61.33 = 118.67°
Therefοre the measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.
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Your taxable wages for Social Security purposes are $1100. How much is your Social Security tax if you have previous taxable wages of $102,000?
Answers
If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.
Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.
First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:
Social Security tax = $102,000 x 0.062 = $6,324
Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:
Social Security tax = $1,100 x 0.062 = $68.20
Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
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Rob has downloaded some songs. He then downloads 32 more songs. He now has a total of 187 songs.
Create an equation to represent the total number of songs Rob has downloaded.
Let s represent the number of
songs Rob had before he downloaded 32 more songs. Enter your equation in the first response box.
Enter the number of songs represented by s in this situation. Enter your answer in the second response box.
Answers
Answer:
s+32 =187 is the equation for the total number of songs downloaded
s=155 is the number of songs initially downloaded in this situation,
Step-by-step explanation:
s+32 =187
s=187-32 solve for s
s=155
Which classification describes AMNO with vertices M(2, -3), N(3, 1), and
0(-3, 1)?
Answers
Answer:
Option D
Step-by-step explanation:
32). Given vertices of the triangle are M(2, -3), N(3, 1) and O(-3. 1).
Distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by the expression,
Distance = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Distance between M(2, -3) and N(3, 1) will be,
MN = \(\sqrt{(3-2)^2+(1+3)^2}\)
= \(\sqrt{1+16}\)
= \(\sqrt{17}\)
Distance between M(2, -3) and O(-3, 1),
MO = \(\sqrt{(2+3)^2+(-3-1)^2}\)
= \(\sqrt{25+16}\)
= \(\sqrt{41}\)
Distance between N(3, 1) and O(-3, 1),
NO = \(\sqrt{(3+3)^2+(1-1)^2}\)
= 6
Condition for right triangle,
c² = a² + b² [Here c is the longest side of the triangle]
By this property,
MO² = MN² + NO²
\((\sqrt{41})^2=(\sqrt{17})^2+6^2\)
41 = 17 + 36
41 = 51
False.
Therefore, given triangle is not a right triangle.
Since, length of all sides are not equal, given triangle will be a scalene triangle.
Option D is the correct option.
Suppose that F(x) = x2 and G(X) = 3x2 + 8. Which statement best compares
the graph of G(x) with the graph of Fx)?
Answers
Answer:
the answer is B
Step-by-step explanation:
see the image!
Give Brillianst please!!!!!
Answer:
It’s actually d
Step-by-step explanation:
Select the expressions that are equivalent to 7a+4a.
Answers
23 inches is what fraction of a yard
Answers
Answer:
0.6
Step-by-step explanation:
1 inch = 0.0278
so 23 inches = 0.6 yard
Help Me what is 2,267,742,732,288 in scientific notation for 20 pts
Answers
Answer:
2.267742732288 × 1012
Step-by-step explanation:
X+3(3)=7 what is the answer
Answers
Answer:
x= -2
Step-by-step explanation:
x+3(3) =7
1. 3 x 3 =9: Multiply three by three
2. x+9 =7: Subtract 9 on both sides
-9 -9
3. x= -2
Answer:
x=-2
Step-by-step explanation:
Re-write the questionX+3(3)=7
Can also be known as:
X+3*3=7
2. Remove the parentheses: (a)=a
X+3*3=7
3. Multiply the numbers: 3*3=9
X+9=7
4. Subtract 9 from both sides
X+9-9=7-9
5. Simplify
X=-2
Hope this helped :)
2. A bag contains one red, one blue and one white marble. One marble is chosen at random
from the bag, and then replaced into the bag. A second marble is chosen.
a) Draw a probability tree and find the sample space.
(3 marks)
Answers
Answer:
Step-by-step explanation:
Find two whole numbers that the 407 falls in between. Justify your answer.
Answers
Answer:
407 falls between whole numbers 406 and 408.
Step-by-step explanation:
whole numbers set of numbers which begins with 0 add has sequence of number differing by one unit.
set of whole numbers will be 0,1,2,3,4,5...........................till infinity.
Given whole number = 407
No. before 407 will be one less than 407 i.e 407 -1 = 406
No. after 407 will be one more than 407 i.e 407 + 1 = 408
Thus, 407 falls between 406 and 408 which are part of whole numbers.
a divided by 4 is equal to For a= 7
Answers
Answer:
no no lose me das las respuestas
10, 12, 11, 13, 14, 12, 13, 14, 13, and 12 find the mean.
Answers
The mean of the given data is 12.4
What is mean?The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of values.
Given that, a data, 10, 12, 11, 13, 14, 12, 13, 14, 13, and 12
Arranging the data in ascending order, 10, 11, 12, 12, 12, 13, 13, 13 14, 14
The sum is = 10+12+11+13+14+12+13+14+13+12 = 124
Total number of data = 10
Mean = sum of the numbers/ total numbers of data
Mean = 124/10
Mean = 12.4
Hence, the required mean is 12.4
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(Score for Question 3: _ of 5 points)
3. A basketball team raised $200 to purchase new jerseys. There are 8 people on the team and jerseys cost $22
each. With the extra money, the team would like to purchase socks at $5 per pair. What is the greatest
number of pairs of socks the team can purchase?
(a) Write an inequality that describes the situation. Explain what the variable in your inequality
represents
(b) Solve the inequality.
(c) What is the greatest number of pairs of socks the team can purchase? Explain why your answer for
Part (c) will not match your answer in Part (b).
Answer.
Answers
With the money left over, the team will be able to buy 4 pairs of socks, and there will be $ 4 left over.
Since a basketball team raised $ 200 to purchase new jerseys, and there are 8 people on the team and jerseys cost $ 22 each, and with the extra money, the team would like to purchase socks at $ 5 per pair, to determine what is the greatest number of pairs of socks the team can purchase, the following inequality must be raised:
(22 x 8) + (X x 5) = 200 176 + (X x 5) = 200 X x 5 = 200 - 176 X = 24/5 X = 4. 8
Therefore, with the money left over, the team will be able to buy 4 pairs of socks, and there will be $ 4 left over.
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Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1.
Need this quick please!
Answers
Answer:
9x^2+9xh+3h^2
Step-by-step explanation:
The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f ( x ) = x 2 , [ 2 , 3 ]
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below.
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36 = 3 (22 + 12)
What statement best describes Gary’s error?
Gary did not use correct factors for 66 in the equation.
Gary did not use correct factors for 36 in the equation.
Gary did not use two equivalent expressions in the equation.
Gary did not use the greatest common factor in the equation.
answer this question in 5 minutes and ill give you the brainlyest and 50 points also please still answer even after the 5 minutes
Answers
The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.
Greatest common factorThis is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.
Gary's work:
66 + 36
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36
= 3 (22 + 12)
Gary did not use the greatest common factor in the equation.
The correct answer:
The greatest common factor of 66 and 36 is 666 + 36
= 6(11 + 6)
Therefore, Gary did not use the greatest common factor in the equation.
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PLEASE ANSWER - PLEASE ANSWER
The diagram shows triangle ABC. ABC and BED are straight lines. AB = 12.2cm, CD = 5.8cm, BE:ED = 3:1, Angle ADB = 90°, Angle ABD = 38°.
Work out the size of angle DCE, correct to 1 decimal place. SHOW ALL WORKING IN TEXT FORM, NO IMAGES.
Answers
The measure of angle DCE in this problem is given as follows:
m < DCE = 22.5º.
How to obtain the measure of angle DCE?The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.
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.The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:
cos(38º) = DB/12.2
DB = 12.2 x cosine of 38 degrees
DB = 9.6 cm.
BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:
DE = 1/4 x 9.6
DE = 2.4 cm.
Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:
tan(x) = 2.4/5.8
x = arctan(2.4/5.8)
x = 22.5º
m < DCE = 22.5º.
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Answer:
x = 22.5°
Step-by-step explanation:
BD = cos(38)*12.2 = 9.61DE = 9.61*¼ = 2.4∠DCE = tan(2.4/5.8) = 22.5°y=9/4×2
sketch the graph of f and f on the same set of axes
Answers
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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An objects _________
Answers
A dilation is a transformation in which the _____, but not the shape, of a geometric figure is changed.
Answers
no explanation really
like dilation 2x, 2y makes the size bigger but the shapes rhe same
What is the probability of picking a prime number and then picking a divisor of 32 Write your answer as a percentage .
Answers
The total number = 4 (1,2,3,4)
number of prime numbers= 2 (2,3)
number divisible by 32 = 3, (1,2,4)
\(\text{Prb(prime numbes)}=\frac{2}{4}=\frac{1}{2}\)\(\text{prb(number divisible by 32)=}\frac{3}{4}\)Hence the probability of picking a prime number and then a number divisible by 32 is
\(\frac{1}{2}\times\frac{3}{4}=\frac{3}{8}\)In percentage we have,
\(\frac{3}{8}\times100=\frac{75}{2}\)37.5%
Hence the probability in percentage is 37.5
exponential function passes through (1,10) and (4,80)
Answers
Answer: f(x)=2^x+5
Step-by-step explanation:
math
You and your family go camping.
Your campsite is square. The area
of your campsite is 900 square
feet. What is the perimeter of the
campsite?
Answers
Answer:
The campsite would be 65 m by 65 m. 65 x 65 = 4,225. Another way to put it (and the way to figure it out) is that the square root of 4,225 is 65.
Step-by-step explanation:
Please help with question 1 im confused
Answers
Answer:
Subtract 9m from both sides of the equation.
Step-by-step explanation: