Factorise X squared +2px+ p squared
Answers
The factorization, according to the provided assertion, is (X + p)(X + p) = (X + p)².
What exactly does factorization mean?The splitting or deconstruction of an entity (such as a quantity, a matrix, as well as a polynomial) through a product from a different entity, as well as factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.
To factorize the expression X² + 2px + p², we need to find two binomials that multiply to this expression.
First, we can observe that the first and last terms of the expression are perfect squares: X² is the square of X and p² is the square of p.
Second, the middle term 2px is twice the product of X and p.
Therefore, we can rewrite the expression as the square of the sum of X and p, i.e., (X + p)²:
(X + p)² = (X + p)(X + p) = X² + 2pX + p²
So the factorization of X² + 2px + p² is:
(X + p)(X + p) = (X + p)²
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Related Questions
leslie has 3 boxes of tea in her cupboard. each box contains 11 tea bags. each tea bag makes 3 cups of hot tea. how many cups of tea will leslie make if she uses all the tea bags
Answers
Answer:
99
Step-by-step explanation:
3x11=33x3cups=99
a motorist left home at 10 a.m. to travel to a cityof a distance of 260 km he reckoned hecould average 80km/ h at what time would he arrive at the city
Answers
Answer:
He would get there at 1:15 (I did this in my head, may be wrong)
Step by step solution:
We know the motorist left home at 10. We can divide the 260/80 and we get 3 hrs, we still have 20 km left over, keep on dividing and you get 1:15 p.m.
I put D since I believe HL applies here but am not sure. Could anybody please help?
Answers
====================================================
Explanation:
Check out the diagram below.
On the left side shows ASA can be used to prove the triangles congruent. Note the color coding to see how the angles match up. Also note that the segment TR is between angles STR and SRT. The order is important because ASA is different from AAS.
Angle STR = Angle VTU because they are vertical angles
Angle SRT = Angle VUT since they are alternate interior angles. Note how SR is parallel to UV. If the lines weren't parallel, then the alternate interior angles would not be congruent.
We can use AAS because if we know two angles of a triangle, we can find the third angle. Despite the fact that something like RST looks like a right angle, we don't have enough info to say it is or not. The square angle marker is missing. So it could be 90 degrees, or it might be something like 89 degrees instead. We don't have enough info. So we cannot use HL.
AAA or AA is not a congruence theorem. It's a similarity theorem. So we cross this off the list.
What is the equation of the line that is perpendicular to y = 3x + 3 and passes through the point (-6, 9)?
y=-1/3x+3
y=-1/3x+7
y=3x-33
y = 3x + 27
Answers
Answer:
y = - \(\frac{1}{3}\) x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 3 ← is in slope- intercept form
with slope m = 3
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\) , then
y = - \(\frac{1}{3}\) x + c ← is the partial equation
to find c substitute (- 6, 9 ) into the partial equation
9 = - \(\frac{1}{3}\) (-6) + c = 2 + c ( subtract 2 from both sides )
7 = c
y = - \(\frac{1}{3}\) x + 7 ← equation of perpendicular line
A large drink dispenser used at a school field day holds 640 ounces of lemonade. How many glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces?
Answers
Answer:
80 glasses
Step-by-step explanation:
640/8 = 80
Answer: 80 glasses
There are 80 glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A large drink dispenser used at a school field day holds 640 ounces of lemonade.
Now,
Find the number of glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces as;
= 640 ÷ 8
= 80
Thus, There are 80 glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces.
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Using complete sentences, explain which function has the greatest y-intercept.
Answers
Answer:
Step-by-step explanation:
this is correct trust me im learning this and passing the concept h(x)=2+3
and f(x)=3x-2
Here is a tip use desmos it is a graphing calculater and will tell you the answer
PLEASE HELP
Driving 75 mph, it takes Alicia 3 hours to reach the airport to go on a vacation. It then takes her 3 hours to get to her destination with
the jet traveling at a speed of 350 mph. How many miles does Alicia travel to get to her destination?
OA. 1,275 miles
OB. 1,375 miles
OC. 1,125 miles
OD.
425 miles
Answers
Sorry I was wrong I searched up the wrong one but I would go with option C
Let be independent random variables with the common distribution function F and suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N (b) Find P(M1} (d) Use (b) and (c) to rederive the probability you found in (a).
Answers
suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is nλe^(-nλx)
Given fx (x) = λe^λx
Fx (x) = 1 – e^-λx x…0
To find distribution of Min (X1,….Xn)
By applying the equation
fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)
For minimum j = 1
[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx
= ne^[(n-1) λx] λe^(λx)
= nλe^(-λx[1+n-1])
= nλe^(-nλx)
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1) Select the permutation that is the next one in lexicographic order after (4, 6, 2, 7, 3, 1, 5).
a. (4, 6, 2, 7, 3, 5, 1)
b. (4, 6, 2, 7, 5, 1, 3)
c. (4, 6, 2, 7, 1, 3, 5)
d. (4, 6, 3, 1, 2, 5, 7)
2) Select the 5-subset from {1, 2, 3, 4, 5, 6, 7, 8, 9} that is the next one in lexicographic order after {2, 3, 7, 8, 9}.
a. {2, 3, 7, 9, 8}
b. {2, 4, 5, 6, 7}
c. {2, 4, 5, 8, 9}
d. {2, 4, 7, 8, 9}
Answers
1) The permutation that is the next one in lexicographic order after (4, 6, 2, 7, 3, 1, 5) is (4, 6, 2, 7, 3, 5, 1). Therefore answer is a. (4, 6, 2, 7, 3, 5, 1).
2) The 5-subset from {1, 2, 3, 4, 5, 6, 7, 8, 9} that is the next one in lexicographic order after {2, 3, 7, 8, 9} is {2, 4, 7, 8, 9}. Therefore the answer is d. {2, 4, 7, 8, 9}.
The next permutation in lexicographic order is the one that comes immediately after the given permutation when the permutations are listed in numerical order. To find the next permutation, we need to find the rightmost pair of elements that are in decreasing order. In this case, that pair is (5, 1). We then need to find the smallest element to the right of 1 that is larger than 1, which is 3. We swap 1 and 3 to get (4, 6, 2, 7, 3, 5, 1).
To find the next 5-subset in lexicographic order, we need to find the rightmost element that can be increased. In this case, that element is 9. We then replace 9 with the smallest element to its right that is larger than 9, which is 4. We then need to rearrange the remaining elements in increasing order to get {2, 4, 7, 8, 9}.
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Please help I’ll mark u <3
Answers
Answer:
x>-4
Step-by-step explanation:
reduce reduce 36% to its lowest term
Answers
Answer:
9/25
Step-by-step explanation:
36% = 36/100 = 18/50 = 9/25
Answer:
0.36 is the lowest term and what 36% becomes, simplified.
Step-by-step explanation:
Q1_Write an equation of the line satisfying the given conditions. Write the answer in slop-intercept form.
The line passes through the point (2,13) and has a slope of 4.
Q2_ For over 20 years, the population of Tressel, Ohio has been increasing linearly according to the function
p(t) = 225t+7,000
where P is the number of residents, and t is years after 1980 . Compute p(0) and interpret its meaning in the context of this problem.
Q3_Use the point-slope formula to write an equation of the line through the points (0,-3) and (11,4).
Q4_Match the description with the correct symbolic expression.
a line with a negative slope
f(x) = 2x -4
2x + 9y = -5
x = -4
y = -5
Thank you for the help --from 50 points
Answers
Answer:
7225 LOL
Step-by-step explanation:
Safeco growth rate for the future is 8% recent dividends 1.76
What is the value of the stock when the required return is 10%
Answers
The value of the stock at 10 percent is given as 88 dollars
How to solve for the value of the stock
The value of a stock can be estimated using the Gordon Growth Model, which takes into account the company's future growth rate, recent dividends, and the required return of the investor. The formula for the Gordon Growth Model is:
Stock Price = Dividend / (Required Return - Growth Rate)
Plugging in the given values, we have:
Stock Price = 1.76 / (0.10 - 0.08)
Stock Price = 1.76 / 0.02
Stock Price = 88
Therefore, the estimated value of the Safeco stock is $88 when the required return is 10%. This estimate assumes that the company's future growth rate and dividends will remain constant at 8% and 1.76, respectively.
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The coordinate 3 has a weight of 1 , and the coordinate 6 has a weight of 2 .
Answers
For the coordinates and their weights, the weight average is 5
How to determine the weight average?The given parameters are:
Coordinate 3 has a weight of 1
Coordinate 6 has a weight of 2
The weight average is then calculated as:
Weight average = Sum of (Weight * Coordinate)/Sum of Weights
Substitute the known values in the above equation
So, we have the following equation
Weight average = (3 * 1 + 6 * 2)/(1 + 2)
Evaluate the product in the above equation
So, we have the following equation
Weight average = (3 + 12)/(1 + 2)
Evaluate the sum in the above equation
So, we have the following equation
Weight average = (15)/(3)
Evaluate the quotient in the above equation
So, we have the following equation
Weight average = 5
Hence, the weight average of the coordinates is 5
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Complete question
The coordinate 3 has a weight of 1 , and the coordinate 6 has a weight of 2 .
Find the weighted average.
A fair coin is spun four times. Circle the probability of getting four Heads.
A 1/2 B 2 C 1/8 D 1/6
Answers
Answer:the answer is 1/16
so none of the above
Step-by-step explanation:
1/8 I think as the chance of getting a heads on a fair coin is 1/2 and you do this 4 times so it is 1/8
A rectangle is 8 meters long and 5 meters wide. The area of the rectangle is square meters. The solution is
Answers
Answer:
40 square meters
Step-by-step explanation:
Length of rectangle = 8 m
Width of rectangle = 5 m
A(rectangle) = Length * Width
-> A(rectangle) = 8*5
-> A(rectangle) = 40 square meters
I NEED HELP ASAP PLS!!!
Answers
Answer:
C looks most correct
Step-by-step explanation:
A chi-square test for homogeneity is conducted on three populations and one categorical variable that has three values. Computation of the chi-square statistic yields χ2 = 2.05. What is the p-value? (please provide a written explanation)
p > 0.25
0.05 < p < 0.1
0.02 < p < 0.025
0.01 < p < 0.02
0.005 < p < 0.01
Answers
the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.the answer is 0.05 < p < 0.1.
To find the p-value for a chi-square test for homogeneity, we need to use the chi-square distribution table with the appropriate degrees of freedom and compare the computed chi-square statistic to the critical value at the desired level of significance.
The degrees of freedom for a chi-square test for homogeneity is given by the formula df = (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the contingency table. In this case, we have three populations and one categorical variable with three values, so the contingency table has 3 rows and 3 columns. Therefore, the degrees of freedom is df = (3 - 1) * (3 - 1) = 4.
Using the chi-square distribution table with 4 degrees of freedom and looking up the value of chi-square at 2.05, we can see that the corresponding p-value is between 0.1 and 0.05. Specifically, the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.
Therefore, the answer is 0.05 < p < 0.1.
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ellie needs new grass in the circular pennfor her chickens what js the radios of the pen if it gad a circumference lf 176 feet
Answers
The radius of the pen is given as follows:
28.03 feet.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the multiplication of 2 by the number pi = 3.14 and the radius r, as follows, hence the equation is given as follows:
C = 6.28r.
For this problem, the circumference of the pen is given as follows:
C = 176 feet.
Hence the radius of the pen is obtained as follows:
176 = 6.28r
r = 176/6.28
r = 28.03 feet.
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Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown.
Answers
Answer:
We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.
Sam and Bruno were computing how many kilometers.
Also one kilometer equals 0.621 miles.
From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.
In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.
We always divide a larger value by a smaller value to get the smaller unit.
Therefore,
Bruno is correct. When going from a larger unit to a smaller unit you need to divide.
Step-by-step explanation:
Hopefully this helped, if not HMU and I will get u a better answer.
-Have a great day! :)
At the end of a year, the gross debt of a country stood at about $17 trillion. Express this amount
dollars per person, assuming that the population of the country is about 303 million
The gross debt is about $ per person
(Type a whole number. Round to the nearest hundred as needed.
Answers
Answer:
Your answer
56100 per person
Mark it as Brainlist answer. Follow me to get more answer
Step-by-step explanation:
NEED HELP DUE IN 3 MINUTES!!!!
Answers
Answer:
y = -1/3 x+9
Step-by-step explanation:
First find the slope between the two points
m = ( -1 -8)/(2 - 5)
-9/-3
=3
We want a line that is perpendicular so it is the negative reciprocal
-1 /(3)
The slope of the perpendicular line is -1/3
y= mx+b where m is the slope and b is the y intercept
y = -1/3x+b
We have a point of (6,7)
7 = -1/3 (6) +b
7 = -2 +b
Add 2 to each side
7 +2 = -2+b+2
9 = b
The equation of the line is y = -1/3 x+9
Bc I need help
Which expression is equivalent to the expression below?
g + g+g+g+g+g
Answers
Answer:
6 x g
Step-by-step explanation:
Answer:
\(g^{6}\)
Step-by-step explanation:
Can someone pls explain
Answers
163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units
164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.
165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.
166. Missing side = 29 ft.
What is the Pythagorean Theorem?The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.
163. The distance between A(-5, 6) and B(5, -5):
AB = √[(5−(−5))² + (−5−6)²]
AB = √221
AB ≈ 14.9 units
164. Apply the Pythagorean theorem to find the diagonal:
Diagonal = √(15² + 15²) ≈ 21.2 ft.
165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:
c = √676 = 26 units.
166. Missing side = √(20² + 21²) = 29 ft.
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(6.2 x 10²) x (3.5 x 10³)
Answers
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Nothing else to it, just find the value of the expressions.
Answers
Answer:
k-k-k-kabbajje!
Step-by-step explanation:
Factor.
f(x) = 6x^2 - 7x+2
Answers
Answer: f(x)=(2x−1)(3x−2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
(2x−1)(3x−2)
What is the solution for the system of equations 6x + 3y = 15 ? 8x + 4y = 20
Answers
Answer:
point form: (5/2, 0)
equation form: 5/2, y=0
Step-by-step explanation:
What is the mean of these
numbers?
8, 12, 24, 13,4
Answers
Answer:
12.2
Step-by-step explanation:
Mean = average
8 + 12 + 24 + 13 + 4 =
61
61 / 5 =
12.2
Answer:
12.2
Step-by-step explanation:
Mean is the average number in a data set.
To find the mean:
Add up every data value in the data set.Divide by the total amount of data values.Add every data value:
8 + 12 + 24 + 13 + 4 = 61
Divide 61 by 5:
61 / 5 = 12.2
12.2 represents the mean of this data set.
True or false
the sum of a number ans zero is zero
Answers
Answer:
True
the sum of any whole number and zero is the number itself. That is, zero is the only whole number that does not change the value (identity) of the number it is added to. The whole number 0 (zero) is called the additive identity or the identity element for addition of whole numbers
Answer:
false
Step-by-step explanation:
when we multiply a number with zero it will be zero
but when we add the answer will be the number itself