The polynomial with zeros 2, -3, and 5 and degree 3 is P(x) = x^3 - 4x^2 - 11x + 30.
To form a polynomial with given zeros and degree, you can use the following steps:
Start with the given zeros: Let's say you have the zeros a, b, c, ..., up to the degree of the polynomial.
Use the zero-factor property: The zero-factor property states that if a polynomial has a zero at a certain value, then the corresponding factor of the polynomial is (x - zero).
Write down the factors: Write down the factors based on the zeros you have. For example, if you have zeros a, b, and c, the corresponding factors would be (x - a), (x - b), and (x - c).
Multiply the factors: Multiply all the factors together to obtain the polynomial expression.
Simplify the polynomial: Simplify the polynomial by expanding and combining like terms.
Here's an example to illustrate the process:
Let's say you want to form a polynomial with the zeros 2, -3, and 5, and the degree is 3.
The corresponding factors would be (x - 2), (x + 3), and (x - 5).
Multiplying these factors together, we get:
P(x) = (x - 2)(x + 3)(x - 5)
Expanding and simplifying:
P(x) = (x^2 + 3x - 2x - 6)(x - 5)
= (x^2 + x - 6)(x - 5)
= x^3 - 5x^2 + x^2 - 5x - 6x + 30
= x^3 - 4x^2 - 11x + 30
So, the polynomial with zeros 2, -3, and 5 and degree 3 is P(x) = x^3 - 4x^2 - 11x + 30.
By following these steps, you can form a polynomial with given zeros and degree.
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what is the purpose of statistically analyzing study data?
The purpose of statistically analyzing study data is to summarize and make sense of the data in order to draw conclusions and make informed decisions.
Statistical analysis allows researchers to identify patterns and relationships within the data, test hypotheses, and make predictions. By using statistical methods, researchers can more accurately interpret the results of a study and make more reliable conclusions.
Additionally, statistical analysis can help researchers determine the significance of their findings and assess the generalizability of their results to the larger population. Overall, statistical analysis is a crucial step in the research process and is essential for making informed and accurate conclusions about study data.
It is a method for removing bias from evaluating data by employing numerical analysis. This technique is useful for collecting the interpretations of research, developing statistical models, and planning surveys and studies.
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please help I will give you any award
Answer:
218.57
Step-by-step explanation:
Since it is an isoceles triangle, the sides are 32, 32, and 14.
Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2, we can calculate the area.
(A+B+C)/2 = (32+32+14)/2=39.
A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.
Hope this helps have a great day :)
Check the picture below.
so let's find the height "h" of the triangle with base of 14.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)
which domain would be the most appropriate set to use for a function that predicts the total weight of pounds
Accurate Whole numbers .
What is accurate whole number?
Accuracy is defined by the number of significant digits while precision is identified by the location of the last significant digit. For instance the number 1234 is more accurate than 0.123 because 1234 had more significant digits.
What does function mean?
Each element of x is given exactly one element of y via a function from a set x to a set y. The sets x and y are collectively referred to as the function's domain and codomain, respectively.
The following details must to be taken into account:
The term "whole number" refers to a number that is free of fractions and decimals.
It calculated the number of household online devices in relation to the number of occupants.
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What is 254, 920 rounded to the nearest ten thousand?
250,000
O 254,000
O 255,000
260,000
Answer: the 3rd one
Step-by-step explanation:
Answer:
255,000
Step-by-step explanation:
if we look there is already 254,000 so now we look at the hundreds place.
In the hundreds place there is 920 witch is closer to 1,000
so 254,000 plus 1,000 is 255,000
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PLEASE HELP ASAP 10 POINTS AND ITS MULTIPLE CHOICE
Which equation represents the line that is parallel to the following?
Y=-3x-4
A. Y=3x+4
B. Y=3x+1
C. Y=-1/3x-4/3
D. Y=1/3x-4
Answer:
A. Y=3x+4
Step-by-step explanation:
(3n+2)(2n–3) find the product simplified
Answer:
6n2−5n−6
Step-by-step explanation:
Answer:
6n^2-5n-6 (btw "6n^2" means its 6n squared )
Step-by-step explanation:
Use the box Method. (Picture shows the box method)
once your done the simplified answer should be 6n^2-5n-6
What are the coordinates of the circumcenter of this triangle?
Enter your answer in the boxes.
(
,
)
Answer:
(0.5, 0.5)
Step-by-step explanation:
draw lines in the middle of each side and the points line up in one spot
Evaluate the expression 5 - -4 + 3
Answer:
Step-by-step explanation:
5- -4=1 +3=4
Simone wrote that 2 + 5.8 = 6.
Use the drop-down menus to explain why 6 is incorrect.
Answer:
7.8
0.2
Step-by-step explanation:
2 is in the ones place, to get to six you need the value of 2 in the tenths place (0.2)
2+5.8 is 7.8 (add the ones places together to get 7)
0.2+5.8=6 (add in the tenths place)
I go out star gazing again, but this time the chances of seeing a shooting star are 80% in any given hour. Assuming that the probability of seeing a shooting star is uniform for the entire hour, what is the probability that I will see one during the first 15 minutes of the hour I am out
The probability of seeing a shooting star during the first 15 minutes of the hour is approximately 19.95%
To solve this problem, we need to use conditional probability. We want to find the probability of seeing a shooting star during the first 15 minutes of the hour given that the chances of seeing a shooting star in any given hour are 80%.
First, we need to determine the probability of seeing a shooting star in the first 15 minutes of the hour. Since the probability is uniform for the entire hour, we can assume that the probability of seeing a shooting star in any given minute is 80% divided by 60 (the number of minutes in an hour), which is approximately 1.33%.
To find the probability of seeing a shooting star during the first 15 minutes of the hour, we need to add up the probabilities of seeing a shooting star in each of the 15 minutes. This can be calculated as follows:
P(seeing a shooting star in the first 15 minutes) = P(seeing a shooting star in minute 1) + P(seeing a shooting star in minute 2) + ... + P(seeing a shooting star in minute 15)
= 15 x 1.33%
= 19.95%
Therefore, the probability of seeing a shooting star during the first 15 minutes of the hour is approximately 19.95%. This means that if you go out star gazing again and the chances of seeing a shooting star are 80%, there is a 19.95% chance that you will see one during the first 15 minutes of the hour you are out.
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`
Write an equation of the line that passes through each point with the given slope.
(9,-8), m=
4
book
y = -43 - 44.
y = 4x - 44
y = 40 - 27
y = 4.1 +44
Question 6
1 pts
Answer:
Step-by-step explanation:
1/9x=5
solve for x
please show step by step
Answer:
x=1/45
Step-by-step explanation:
do the inverse
please mark it as brainliest!!<3
9c + 1 > 10 .
i don’t get this
Answer:
c>1
Step-by-step explanation:
9c>10-1
9c>9
9c/9>9/9
c>9/9
so,
c>1
Hope that helps!
Plz mark brainliest
Given that
X2: (20 – 3x) = 1 : 2
find the possible values of x.
Answer:
Step-by-step explanation: x^2 : (20 - 3x) = 1 : 2
2x^2 + 3x - 20 = 0
(x + 4)(2x - 5) = 0
Solution:
x = -4
x = 5/2
Answer:
x= 2.5
x= 2.5x = - 4
Step-by-step explanation:
1:2
x² : (20 - 3x)
x2 : x 1
2x² : 1(20-3x)
2x² : 20 - 3x
+3x , then - 20
2x² + 3x - 20 = 0
2 x - 20 = - 40
x to get - 40
+ to get 3
(8 x - 5 = -40 & 8 + - 5 = 3)
Split 3x into 8x & - 5x, then factorise:
2x^2 + 3x - 20 = 0
2x^2 + 8x - 5x - 20 = 0
2x(x+4) - 5(x + 4)
(2x-5) (x+4) =0
2x - 5 = 0
+5
2x = 5
÷2
x = 2.5
x+4=0
-4
x = - 4
x=2.5,-4
Hope this helps!
My classroom has 11 rows of chairs, with 11 chairs in each row. The chairs in each row are numbered from 1 to 11. How many chairs have odd numbers?
Answer: We can find this by finding how many odd numbers are in one row since each row is numbered 1 to 11 so by counting we find:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ...
That there are exactly 6 odd numbers in one row, So 6 time's how many rows there are will equal our product, which equals our answer.
Which point lies to the right of y-axis?
(a) (0, 3) (b) (-2,-1) (c) (3, 5) (d) (-3,-2)
Answer: C
Step-by-step explanation:
A square pyramid has 1 square base and 4 triangular faces. Find its surface area. A. The area of the base is ________ square centimeters. B. The area of the four faces is ______ square centimeters. C. The surface area is ___________ square centimeters.
Answer:
See Explanation
Step-by-step explanation:
I will answer this question with the attached square pyramid
From the attached pyramid, we have:
\(Base\ Length = 20m\)
So, the base area is:
\(Area = Length * Length\)
\(A_1= 20m*20m\)
\(A_1= 400m^2\)
The dimension of each of the 4 triangles is:
\(Height = 16.4m\)
\(Base = 20m\)
So, the area of 4 triangles is:
\(Area = 4 * 0.5 * Base * Height\)
\(A_2 = 4 * 0.5 * 20m * 16.4m\)
\(A_2 = 656m^2\)
So, the surface area is:
\(Area = A_1 + A_2\)
\(Area = 400m^2 + 656m^2\)
\(Area = 1056m^2\)
Answer detailed please
Answer:
container A
Step-by-step explanation:
In Container A, we can plot the points (0,60) adn (2, 35)
The slope is :
\(m_A = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{35-60}{2-0} \\\\= \frac{-25}{2}\\ \\m_A = -12.5\\\)
For container B, the slope is:
\(m_B = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{32-54}{3-1} \\\\= \frac{-22}{2}\\ \\m_B = -11\\\)
The negative sign of the slope indicates the direction of the slope
\(|m_A| = 12.5\\\\|m_B| = 11\)
12.5 > 11
The slope of container A is steeper than container B
Therefore, the water is draining out of container A at a faster rate than container B
hey can someone help me pls *ANSWER ASAP*
This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,
Which is the translation applied?Remember that a vertical translation of N units is:
g(x) = f(x) + N
if N < 0 the translation is down.
if N > 0 the translation is up.
And a horizontal translation of N units is:
g(x) = f(x + N)
If N > 0 the translation is to the right.
if N < 0 the translation is to the left.
Here we have the transformation:
f(x) = x²
g(x) = (x + 2)² + 5
So this is a translation of 2 units to the left and 5 units up.
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what is the square root of 1/64
The square root of 1/64 is 1/8.
To find the square root of 1/64, we can simplify the fraction first by taking the square root of both the numerator and the denominator separately.
The square root of 1 is 1,
and the square root of 64 is 8:
So, √(1/64)
= √1 / √64
= 1/8
Therefore, the square root of 1/64 is 1/8.
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the t test for the difference between the means of 2 independent populations when standard deviations are unknown assumes that the samples are randomly and independently drawn population variances are equal populations are approximately normal or sample sizes are greater than 30 all of the above
The correct option for the t test for the difference between the means of 2 independent populations is sample variances are equal.
What is the t-test for two independent samples?The Autonomous samples t Test analyzes the method for two free gatherings to decide if there is factual proof that the related populace implies are essentially unique. The Free samples t Test is a parametric test. This test is otherwise called: Free t Test.
According to given data:The t test for the difference between the means of 2 independent populations when standard deviations are unknown, we must assume that sample variances are equal.
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Work out x^2- 2x
when x =4
Answer:
8
Step-by-step explanation:
\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)
Write the following as a mathematical expression with one variable.
Twice the length (l) less three times the width (w).
Answer:
Step-by-step explanation:
2l-3w
The expression is 2l- 3w
What is expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
Given:
Twice the length (l) less three times the width (w).
So,
Twice the length (l) = 2l
three times the width (w). = 3w
So, Twice the length (l) less three times the width (w).
=2 l - 3w
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What is the value of 1/4m +n 8 - 6 = 12 *
Answer:
i dont know if you want me to solve for m
Step-by-step explanation:
Let's solve for m.
the amplitude of the graph is the midline is y =
Answer:
Amplitude of 2, midline is y=4
Answer:
y=4.
Step-by-step explanation:
I hope this helps!
One of your clients owns a large block of XYZ Corporation common stock. The investor calls and wants to buy a call option for XYZ Corporation common stock. Why would this investor choose to buy a call on XYZ common stock?
Answer:
The correct option is D The investor wants to ensure a set price on XYZ Corporation common stock in the event that they want to buy more shares.
Step-by-step explanation:
Based on the information given the reason why
this investor would choose to buy a call on XYZ common stock is that the investor want to know the actual or fixed price of XYZ Corporation common stock just in case they want to buy more shares .
Secondly in a situation where the investor buy a call option on stock it will enables the investor to buy at the fixed price for a particular period of time.
Select the correct answer.
Solve the following inequality for x.
A.
x < 2
B.
x ≥ -1
C.
x > 1
D.
x < -2
Answer:
x > 1
Step-by-step explanation:
Subtract 2 from both sides
-26 + 13x > -13x
Add 26 to both sides
13x > -13x + 26
Add 13x to both sides
13x + 13x > -13x + 26 + 13x
Simplify
26x > 26
So x > 1
Answer:
x > 1
Step-by-step explanation:
Subtract 2 from both sides
-26 + 13x > -13x
Add 26 to both sides
13x > -13x + 26
Add 13x to both sides
13x + 13x > -13x + 26 + 13x
Simplify
26x > 26
So x > 1
Step-by-step explanation:
Budding and sporulation are forms of ________ reproduction.
Answer: Asexual
Step-by-step explanation:
Can you solve 17+4x<9
Answer:
x<-2
Step-by-step explanation:
17+4x<9
4x<-8
x<-2
The solution is:
↬ x < -2Work/explanation:
Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).
Make sure that all constants are on the right:
\(\bf{4x < 9-17}\)
\(\bf{4x < -8}\)
Divide each side by 4:
\(\bf{x < -2}\)
Hence, x < -25. Solve: -65 + -29 = x. X = ?
A. -94
B.36
C.94
Answer:-94 i took the quiz/test
Step-by-step explanation: