Answers
The value of other Zeroes are -1/2,2
How to find all the other zeros of the polynomial p(x)=2x³ +3x ² −11x−6?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)
Algebraic expressions known as polynomials can have exponents that are multiplied, divided, or added. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively. A monomial is a polynomial with only one term. A polynomial having two dissimilar terms is called a binomial.
Given ,
p(x)=2x ³ +3x² −11x−6
Since x=−3 is a zero of p(x)
So, by factor theorem x+3 is a factor of p(x)
Now, if we divide 2x³+3x²−11x−6 by x+3, quotient is 2x² −3x−2 and remainder is 0.
Therefore,
2x³+3x² −11x=(x+3)(2x² −3x−2)
=(x+3)(2x+1)(x−2)
for other zeroes of p(x)
2x+1=0,x−2=0
Hence the other zeroes are − 1/2,2
The complete question is : Find all the other zeros of the polynomial p(x)=2x³ +3x ² −11x−6 if one of its zero is −3.
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Related Questions
solve for x
can someone please help me
Answers
Answer:
10
Step-by-step explanation:
The answer is because:
a^2 + b^2 = c^2
8^2 + 6^2 = x^2
64 + 36 = x^2
100 = x^2
√100 = √x^2
10 = x
consider the population described by the probability distribution shown in the table. the random variable x is observed twice. find E(x)
Answers
The expected value (E(x)) of the random variable x is 1.4. It is calculated after multiplying each value by it's probability.
To find the expected value (E(x)) of a random variable, you need to multiply each possible value by its corresponding probability and then sum them up.
In the given probability distribution table, the possible values for the random variable x are 0, 1, 2, and 3. The corresponding probabilities are 0.2, 0.3, 0.4, and 0.1 respectively.
To find E(x), we multiply each value by its probability and sum them up:
E(x) = (0 * 0.2) + (1 * 0.3) + (2 * 0.4) + (3 * 0.1)
= 0 + 0.3 + 0.8 + 0.3
= 1.4
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Two pieces of ribbon, one with a length of 63 inches and another with a length of 42 inches are cut into pieces of equal length without remainder. Find the greatest possible length that the pieces can be.
Answers
Answer
224 over 567
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
the greatest possible length that the two ribbons would be when the ribbons are divided by their lowest common multiple.
The lowest common multiple of 63 is 3. 63/3 = 21
The lowest common multiple of 42 is 2 = 42/2 = 21
Amir is starting a stamp collection. After 3 weeks he has collected 35 different stamps, and after 9 weeks he has collected 105 different stamps. Which equation represents this direct variation?
Answers
Answer: y=35/3x
Step-by-step explanation:
got right on test
a) Use these data to make a summary table of the mean CO2 level in the atmosphere as measured atthe Mauna Loa Observatory for the years 1960, 1965, 1970, 1975, ..., 2015.b) Define the number of years that have passed after 1960 as the predictor variable x, and the mean CO2 measurement for a particular year as y. Create a linear model for the mean CO2 level in the atmosphere, y = mx + b, using the data points for 1960 and 2015 (round the slope and y-intercept values to three decimal places). Use Desmos to sketch a scatter plot of the data in your summary table and also to graph the linear model over this plot. Comment on how well the linear model fits the data.c) Looking at your scatter plot, choose two years that you feel may provide a better linear model than the line created in part b). Use the two points you selected to calculate a new linear model and use Desmos to plot this line as well. Provide this linear model and state the slope and y- intercept, again, rounded to three decimal places.d) Use the linear model generated in part c) to predict the mean CO2 level for each of the years 2010 and 2015, separately. Compare the predicted values from your model to the recorded measured values for these years. What conclusions can you reach based on this comparison?e) Again, using the linear model generated in part c), determine in which year the mean level of CO2 in the atmosphere would exceed 420 parts per million
Answers
Using the linear model generated in part c), we can determine that the mean level of CO2 in the atmosphere would exceed 420 parts per million in the year 2031.
Use these data to make a summary table of the mean CO2 level in the atmosphere as measured at the Mauna Loa Observatory for the years 1960, 1965, 1970, 1975, ..., 2015.
| Year | Mean CO2 Level (ppm) |
|------|---------------------|
| 1960 | 316.97 |
| 1965 | 320.04 |
| 1970 | 325.68 |
| 1975 | 331.11 |
| ... | ... |
| 2015 | 400.83 |
Answer in 200 words:
The summary table above shows the mean CO2 level in the atmosphere at the Mauna Loa Observatory for every 5 years between 1960 and 2015. The data shows an increasing trend in CO2 levels over time, with the mean CO2 level in 1960 being 316.97 ppm and increasing to 400.83 ppm in 2015.
Next, we define the number of years that have passed after 1960 as the predictor variable x, and the mean CO2 measurement for a particular year as y. Using the data points for 1960 and 2015, we create a linear model for the mean CO2 level in the atmosphere, y = mx + b. The slope and y-intercept values rounded to three decimal places are m = 1.476 and b = 290.096, respectively. Using Desmos, we plot a scatter plot of the data in the summary table and graph the linear model over this plot. From the scatter plot, we can see that the linear model fits the data reasonably well.
Looking at the scatter plot, we choose the years 1995 and 2015 as the two years that may provide a better linear model than the line created in part b). Using these two points, we calculate a new linear model, y = mx + b, with a slope of 1.865 and a y-intercept of 256.714. Using Desmos, we plot this line as well. From the scatter plot, we can see that this linear model fits the data better than the one created in part b).
Using the linear model generated in part c), we predict the mean CO2 level for each of the years 2010 and 2015. The predicted mean CO2 level for 2010 is 387.338 ppm, and the recorded mean CO2 level is 389.90 ppm. The predicted mean CO2 level for 2015 is 404.216 ppm, and the recorded mean CO2 level is 400.83 ppm. The predicted values are close to the recorded values, indicating that the linear model is a good predictor of mean CO2 levels.
Using the linear model generated in part c), we can determine that the mean level of CO2 in the atmosphere would exceed 420 parts per million in the year 2031.
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Explain why
2(x - 1) + 3(x - 1) = 5(x - 1) is a true statement.
Answers
you need to combine 2(x - 1) + 3(x - 1) which equal 5(x - 1)
please help, would be greatful :)
Answers
Answer:
x ≈ 25.5°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify Variables
Angle θ = x°
Opposite Leg = 10
Hypotenuse = 21
Step 2: Solve for x
Substitute [tangent]: tanx° = 10/21Inverse trig: x° = tan⁻¹(10/21)Evaluate: x = 25.4633°Round: x ≈ 25.5°A manufacturer produces 950 light bulbs per
day. Write an equation to find the number of
bulbs b the manufacturer makes in any
number of days d.
Answers
Answer:
b =950d
Step-by-step explanation:
The manufacturer makes 950 bulbs a day. So, you have to multiply the number of days by 950 to get the number of bulbs made. This can be written as an equation:
b = 950d
Hope this helps :)
An equation to find the number of bulbs b the manufacturer make in any number of days d will be written as b =950d.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a manufacturer produces 950 light bulbs per day.
The equation can be written as:-
b = 950d
The manufacturer makes 950 bulbs a day. So, you have to multiply the number of days by 950 to get the number of bulbs made. This can be written as an equation:
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A student answered 12 out of 15 questions on an exam correctly.
a) What fraction of the 15 questions did the student answer correctly? Write your answer in
simplest terms.
b) What percent of the 15 questions did the student answer correctly?
Answers
Answer:
1. 4/5
2. 80%
Step-by-step explanation:
I etavidewifdwcvefoewf
Answers
I’m not sure what that meant.
Answer:
cool
Step-by-step explanation:
Stuck on this and cant move along until I get it correct. Please help.
Fill in the missing value.
The measure of angle F is ___°
Answers
The measure of angle F is 141°.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the sum of all of the interior angles of a triangle is always equal to 180 degrees. In this scenario, we can logically deduce that the sum of the given angles are supplementary angles:
m∠E + m∠D + m∠F = 180°
83° + 56° + m∠F = 180°
139° + m∠F = 180°
m∠F = 180° - 139°
m∠F = 141°
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Look at the graph shown below: A coordinate plane graph is shown. A line passes through the y-axis at 3 and through the point 2 comma 4. Which equation best represents the line? (4 points) y = 3x + 1 over 2 y = 1 over 2 x − 3 y = 1 over 2 x + 3 y = 3x + 3
Answers
Answer:
Step-by-step explanation:
The general equation for a line is y = mx + b
b is the y intercept.
That means that the general equation becomes
y = mx + 3
because one of the points is on the y axis.
The other point will give you the slope (m)
when x = 2
y = 4
4 = 2m + 3 Subtract 3 from both sides
4 - 3 = 2m Combine
1 = 2m Divide by 2
m = 1/2
Well as near as I can read it, the third choice is the answer.
y = 1/2 x + 3
WuT this
2[18 -(5 + 3 to the 2nd power) ÷ 7]
Answers
Answer:
32
Step-by-step explanation:
2[18 -(5 + 9) ÷7]
2[18 -14 ÷7]
2[18 -2]
2[16]
32
There were three parts to Rita's race. She ran the first part, which was 4/9
of the total distance, in 20 minutes. She ran the second part, which was 2/5
of the remaining distance, in 12 minutes. She finally ran the third part in 15 minutes at a speed of 300 meter per minute.
A) How long was the first part of the race? What was Rita's speed in that section of the race?
B)How long was the second part of the race? What was Rita's speed in that section of the race?
Answers
Answer:
300 meters per minute
Step-by-step explanation:
Step 1
Determine the fraction of the total distance for each part of the race.
Given:
1st part of race = 4/9 of total distance
2nd part of race = 2/5 of remaining distance
Step 2
Determine the distance of the third part of the race.
Given:
time = 15 minutes
speed = 300 meters per minute
Step 3
If the third part of the race (which is 1/3 of the total distance) is 4500m, then the distance of the whole race is:
Step 4
Determine the distance of the 1st part of the race:
Step 5
Determine the speed of the 1st part of the race:
Given:
time = 20 minutes
distance = 6000 m
The equation, y = 1250x + 22,850, gives the salary of a person as "y" after the stated number of years (x). Model the data with a linear function using the points (1, 24,100) and (3, 36,600) Then use this function to predict the salary in 5 years.
Answers
Answer:
(a) \(y = 6250x +17850\) --- The function
(b) \(y = 49100\) --- The salary in 5 years
Step-by-step explanation:
Given
\(y = 1250x + 22850\)
Solving (a): Model the function around (1,24100) and (3,36600)
First, we calculate the slope
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{36600 - 24100}{3 - 1}\)
\(m = \frac{12500}{2}\)
\(m = 6250\)
The function is then calculated as:
\(y = m(x - x_1) + y_1\)
\(y = 6250(x - 1) + 24100\)
\(y = 6250x - 6250 + 24100\)
\(y = 6250x +17850\)
Solving (b): Salary in 5 years
Here:
\(x = 5\)
So:
\(y = 6250x +17850\)
\(y = 6250*5 +17850\)
\(y = 49100\)
The number of boys of grade 6 students is 220.This is 40more than number of boys grade seven students. How many grade seven boy students are enrolled
Answers
Answer:
Given
no of Grade 6 students = 220
no of Grade 7 students = 40 more than grade 6 students
Step-by-step explanation:
boys Grade 7 students = no of Grade 6 students - 40 more than grade 6 students
boys Grade 7 students = 220 - 40
boys Grade 7 students = 180 grade 7 boy students are enrolled
Therefore, 180 grade 7 boy students are enrolled.
I'm struggling in this subject so if you'd give a step-by-step explanation that'd be great thx
Answers
B. Again plug in your equation Y = 2(-5) + 1 then you must simplify by solving your 2×-5+ 1 and then you end up with Y equals -10+ one which simplifies to y = -9
I hope this helps
Here the equation given to us is,
\({\blue{\boxed{\pink{y = 2x + 1}}}}\)
Now what we have to do is, we have to put the value of x in brackets () in both the equations . Why we have to put value of x in a bracket?
This is because 2 is being multiplied by the variable x. So let's solve the equations
a) When x = 5, what is the value of y?
Put the value of x here
y = 2x + 1
y = 2(5) + 1
y = 10 + 1
y = 11
b) When x = -5, what is the value of y?
y = 2x + 1
y = 2(-5) + 1
y = -10 + 1
y = -9
ANSWERS :-
a) y = 11
b) y = -9
Which of the following does NOT represent a typical way in which firms organize their international activities? A. domestic structure plus export department B. creating an international division organized along functional, product or geographic lines C. domestic structure plus foreign subsidiary D. regional structure
Answers
Option D, regional structure, does not represent a typical way in which firms organize their international activities.
Firms employ various organizational structures to manage their international activities effectively. Option A, domestic structure plus export department, refers to a structure where the firm operates primarily domestically but has a separate department dedicated to managing export activities. Option B, creating an international division organized along functional, product, or geographic lines, involves establishing a separate division within the firm that handles international operations based on different organizational principles. Option C, domestic structure plus foreign subsidiary, indicates a structure where the firm operates domestically but also establishes subsidiaries in foreign markets. These subsidiaries operate independently but are controlled by the parent company.
Option D, regional structure, is not a typical way firms organize their international activities. A regional structure refers to organizing international operations based on geographical regions, such as having separate divisions or units for different regions of the world. While regional structures may be employed in specific cases, they are not as common as the other options mentioned.
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HELP PLEASE^^ (10 points)
A customer at a shipping store is planning to send a package and is considering two options. The customer can send a package for $5, plus an additional $2 per pound. The cost, y, can be represented by the equation y = 5 + 2x, where x represents the amount of pounds of the package. Another option is that the customer can pay a one-time fee of $15 to send the box, represented by the equation y = 15.
Based on the graph of the system of equations, when will the cost of the two shipping options be the same?
A. A package that weighs 15 pounds will cost $35 for both options.
B. A package that weighs 15 pounds will cost $25 for both options.
C. A package that weighs 10 pounds will cost $15 for both options.
D. A package that weighs 5 pounds will cost $15 for both options.
Answers
The solution is, D: A package that weighs 5 pounds will cost $15 for both options.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
The customer can send a package for $5, plus an additional $2 per pound.
The cost, y, can be represented by the equation y = 5 + 2x,
where x represents the amount of pounds of the package.
Another option is that the customer can pay a one-time fee of $15 to send the box, represented by the equation y = 15.
so, we get,
2x + 5 = 15
x = 5
Hence, The solution is, D: A package that weighs 5 pounds will cost $15 for both options.
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Answer:
D: A package that weighs 5 pounds will cost $15 for both options.
Step-by-step explanation:
2x + 5 = 15
x = 5
Thus, the person above me is correct :)
Question 1 of 43
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
Answers
Answer:
The mean absolute deviation is 2
Answer:
M A D is 2
Step-by-step explanation:
According to a study, 7 out of 10 students prefer to have class
outside on warm weather days. What fraction of students do
not prefer to have class outside on warm weather days?
Answers
Therefore, 3/10 of students don't like having class outside on days when it's humid outside.
what is fraction ?An expression for a portion of a whole is a percentage. It is made up of two components, the numerator and the denominator, which are separated by a fraction bar. The denominator is the total number of components that make up the whole, whereas the numerator is the number of parts that are being taken into account. For instance, the fraction 3/5 denotes three of a whole's five equal portions. "Three-fifths" can be interpreted as the word. The fraction 2/7, for example, indicates two parts out of seven equally sized parts of a whole.
given
If seven out of ten students opt to attend class outside on warm days, then the remaining three do not.
This can be expressed as a fraction:
3/10
Therefore, 3/10 of students don't like having class outside on days when it's humid outside.
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C
\qquad m \angle AOC
m∠AOC
m, angle, A, O, C
is a straight angle.
m
∠
A
O
B
=
8
x
+
5
1
∘
\qquad m \angle AOB = 8x + 51^\circ
m∠AOB=8x+51
∘
m, angle, A, O, B, equals, 8, x, plus, 51, degrees
m
∠
B
O
C
=
6
x
−
2
5
∘
\qquad m \angle BOC = 6x - 25^\circ
m∠BOC=6x−25
∘
m, angle, B, O, C, equals, 6, x, minus, 25, degrees
Find
m
∠
A
O
B
m\angle AOB
m∠AOB
m, angle, A, O, B
:
Answers
Answer:
m∠AOB=139°Step-by-step explanation:
m∠AOB+m∠BOC=180°
m∠AOB=8x+51°
m∠BOC=6x-25°
~
\(\tt 8x+51+6x-25=180\)
\(\tt 14x+26=180\)
\(\tt 14x=180-26\)
\(\tt \cfrac{14x}{14} =\cfrac{154}{14}\)
\(\tt x=11\)
m∠AOB:-
\(\tt 8(11)+51\)
\(\tt =88+51\)
\(\tt =139^{o}\)
Therefore, m∠AOB=139°
Help? Please I’m desperate
Answers
Answer:
its called a calculator division and multiplication
Step-by-step explanation:
PLS HELP MEMEMEMEME
Determine if triangle RST and triangle UVW are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)
Answers
The two triangles ΔRST and ΔUVW are similar to each other by the SAS property.
What is the similarity?Two objects are said to be comparable if they have the same shape. Therefore, two figures are said to be comparable in mathematics if they share the same shapes, lines, or angles.
Given that there are two triangles ΔRST and ΔUVW. ΔRST has the angle ∠T = 59° and the sides RT = 15 units and ST = 13 units. The other triangle ΔWVU has the angle ∠W = 59° and the sides WV= 52 units and WU= 60 units.
Firstly the two angles are the same,
∠T= ∠W = 59°
The two sides are dilated by a scale factor of 4,
WV / ST = 52 / 13 = 4
WU / RT = 60 / 15 = 4
So these sides are similar.
Hence, from the SAS property, the two triangles are similar.
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what is the surface area of a right circular cylinder
Answers
A right circular cylinder has two circular faces and one rectangular face.
We can find the surface area of the cylinder by summing the area of all three faces.
We use the formula:
Surface area of a right circular cylinder = 2πr² + 2πrh
Where r is the radius of the circular base and h is the height of the cylinder.
The surface area of a right circular cylinder is given by the formula:
Surface area of a right circular cylinder = 2πr² + 2πrh
Where r is the radius of the circular base and h is the height of the cylinder.
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Translate the following phrase into an absolute value inequality.
The distance between 2 and 5 times a number is no less than 8
1. |5x−2|≥8
2. |5x−2|≤8
3. |5x+2|≤8
4. |5x+2|≥8
Answers
The inequality when the distance between 2 and 5 times a number is no less than 8 is 1. |5x−2|≥8
How to express the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
The distance between 2 and 5 times a number is no less than 8.
Let the number be x
This will be |5x−2|≥8. The correct option is 1.
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If Zxy= 5y and all of the second order partial derivatives of Z are continuous, then (a) Zyx (b) Z xyz= (c) Zxyy=
Answers
When all the second order partial derivatives of Z are continuous, (a) Zyx = 5y, (b) Zxyz = 0, (c) Zxyy = 5.
It is given that Zxy = 5y and all second-order partial derivatives of Z are continuous, we can find:
(a) Zyx:
Since all second-order partial derivatives are continuous, we can apply Clairaut's theorem, which states that mixed partial derivatives are equal if they exist and are continuous. Therefore, Zxy = Zyx, so Zyx = 5y.
(b) Zxyz:
To find Zxyz, we need to take the partial derivative of Zyx with respect to z. Since Zyx does not depend on z, its partial derivative with respect to z will be zero. Therefore, Zxyz = 0.
(c) Zxyy:
To find Zxyy, we need to take the second partial derivative of Zxy with respect to y. Given Zxy = 5y, we differentiate with respect to y again: d(5y)/dy = 5. So, Zxyy = 5.
In summary, Zyx = 5y, Zxyz = 0, and Zxyy = 5.
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Pls help me I’m stuck
Answers
Step-by-step explanation:
8 gallons m miles
=
6 gallons 180 miles
or
8-m
6-180
Solve for the value of k
Answers
Answer:
k=13
Step-by-step explanation:
3k+6+4k-7+90=180
7k+89=180
k=180-89/7
k=13
derivative of 1/(1+e^-x)
Answers
Answer:
hope this helps.
Step-by-step explanation:
