The complete statement about the product of the polynomials is that:
The product of f(x) and g(x) is always a polynomial because the coefficients are real numbers and the exponents are whole numbers. Real numbers and whole numbers are closed under addition
How to complete the statementsFrom the question, we have the following parameters that can be used in our computation:
Polynomials f(x) and g(x)
When these polynomials are multiplied;
We get another polynomial
This is because, when you multiply two polynomials you get a sum of monomials.
A sum of monomials is always a polynomial
The sum of monomials stated above implies that the whole exponents and the real coefficients are closed under addition
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If m and n are positive integers, show that: 3 (m + n)! ≥ m! + n!
We can conclude the proof of inequality : 3 (m + n)! ≥ m! + n! below.
What is factorial?In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. Mathematically, we can write -
[tex]$n! = n \times (n-1) \times \dots \times 1[/tex]
Given is the inequality -
3 (m + n)! ≥ m! + n!
We have -
3 (m + n)!
3 {(m + n)(m + n - 1)(m + n - 2) ....... (3)(2)(1)}
3 {m² + mn - m + nm + n² - n}(m + n + 2) ...... (3)(2)(1)
3 {m² + n² - m - n + 2mn}(m + n + 2) ........ (3)(2)(1)
3 {m(m - 1) + n(n - 1) + 2mn}(m + n + 2) ....... (3)(2)(1)
Now, for (m! + n!) --
(m! + n!) = m(m - 1) .... (3)(2)(1) + n(n - 1) ..... (3)(2)(1)
It can be seen that -
3 {m(m - 1) + n(n - 1) + 2mn}(m + n + 2) ....... (3)(2)(1) ≥
m(m - 1) .... (3)(2)(1) + n(n - 1) ..... (3)(2)(1)
Hence, it can be seen that -
3 (m + n)! ≥ m! + n!
Therefore, we can conclude that 3 (m + n)! ≥ m! + n!.
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Ms. Wong ordered a box of 50 shirts to sell in her clothing store. She quickly sold 30 of the shirts. Which equations can be used to find how many shirts, s , Ms. Wong has left to sell?
Answer:
answer = 20
Step-by-step explanation:
Answer:
s = 20
Step-by-step explanation:
50 - 30 = s
s + 30 = 50
so 50 - 30 = 20
Denise and Gabe met for dinner in downtown Belmont. Denise did flat-rate valet parking for $20. Gabe went to another valet and paid $4 up front and $4 for every hour, including the first hour. Ultimately, the friends ended up paying the same amount. How long did they stay? How much did each one pay?
If cos(2/3x+20)°=sin(2x−10)°, find the acute angles of the corresponding right triangle.
A =
B =
Answer:
A = 40°
B = 50°
Step-by-step explanation:
If cos A = sin B, then A + B = 90
So, 2x/3 + 20 + 2x - 10 = 90
2x + 60 + 6x - 30 = 270
8x + 30 = 270
8x = 240
x = 30
2x/3 + 20 = 60/3 + 20 = 20 + 20 = 40
2x - 10 = 2(30) - 10 = 60 - 10 = 50 or 90 - 40 = 50
Megan made a 4 lb batch of spaghetti sauce she put them in jars that can each hold 2/3 pound of sauce how many jars was she be able to feel
lz helpp me i beg il give brainliest
Answer:
25% × ? = 9
? =
9 ÷ 25% =
9 ÷ (25 ÷ 100) =
(100 × 9) ÷ 25 =
900 ÷ 25 =
36
Answer:
The answer is 36
When finding a percentage you would typically multiply the decimal. Example 20% of 100. Multiply 100 x 0.20 = 20
When trying to do the opposite you would do the inverse (opposite) operation. So the inverse (opposite) operation of mulitplication is division.
Example: 20% of what number w is 20? Divide 20/0.20 = 100
Okay now lets solve your problem!
25% of what number w is 9? Divide 9/0.25 = 36
Step-by-step explanation:
25% in decimal is 0.25
9 / 0.24 = 36
Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?
Answer:
19
Step-by-step explanation:
Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?
25&25
If Karen Has 6 Less Then Kate, Karen Would Have 19 CDS
Hope This Helps
Mr. Levy buys .25 lbs of turkey at the store. The turkey costs $2.55. How much does Mr. Levy spend?
Answer:
about 64 cents
Step-by-step explanation:
Which is closest to the height of a pine tree?
Which figures show shaded
amounts that are equivalent to 1/4
The image that shows the graph equivalent to the fraction 1/4 is option A, because only one part of the 4 available is shaded.
How to identify the correct graph?To identify the correct graph, we must first identify which fraction we must represent. In this case, the fraction is 1 / 4. To understand this fraction, we must take into account that the top number (1) refers to the number of parts that are shaded and the bottom number (4) refers to the number of total parts. into which the figure is divided.
According to the above, we can infer that it is a figure that is divided into 4 parts, and one of them is shaded. So the correct choice would be option A.
Note: This question is incomplete because there is some information missing. Here is the complete information:
image attached
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Find the volume of a sphere with a diameter of 4 inches. Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
V≈33.51in³
Step-by-step explanation:
have a great day!
4 is greater than x, and x is greater than -7. Write the following as an inequality.
Answer:
4 > x > -7
Step-by-step explanation:
4 > x > -7
Because we usually put lower numbers to the left on a number line
the convention is to present this as
-7 < x < 4
Answer:
4 < x > - 7
Step-by-step explanation:
4 < x
x < - 7
4 < x > - 7
What if I only know the length of the shorter side consider the triangle equilateral triangle than determine the values of n and m without using a calculator
Answer: An equilateral triangle is a three-sided polygon with three equal sides and three equal angles of 60 degrees each. If you know the length of one of the sides of an equilateral triangle, you can use the formula for the area of an equilateral triangle to determine the values of n and m. The formula for the area of an equilateral triangle is:
Area = (sqrt(3)/4) * s^2
where s is the length of one of the sides of the triangle.
To determine the values of n and m, you can rearrange the formula to solve for s. For example, if you know that the area of the triangle is n and the value of m is the length of one of the sides of the triangle, you can rearrange the formula to solve for s:
s = sqrt(4n/sqrt(3))
Then, you can use the value of s to determine the value of m.
Step-by-step explanation:
Need help on this question
Answer:
b
Step-by-step explanation:
Answer:
option b
i.e-
(-1,3) and (2,6)
Step-by-step explanation:
The solution of two graphs are the point where they intersect each other.
Above, they intersect each other at two points
Help me out with this question for my test, thank you and please give a full explanation.
Answer:
210 degreses
Step-by-step explanation:
because I said so.
The list of numbers shows the ages of six people on a bowling league. 50, 55, 57, 49, 44, 51. Find the mean absolute deviation of the values.
Answer:
3.333333333
Step-by-step explanation:
15. Malik used the method of elimination to solve the system below.
4x+3y=12
2x+y=5
(a) Malik first rewrote the second equation as:
-6x-3y=-15
What property justifies writing this equation?
(b) Malik correctly solves this system usi
elimination. Was the value he found for
larger or smaller than 1? Justify.
On solving the provided question, we can say that - the perimeter chest won't fit next to her bed, thus the answer is no.
What is a perimeter?The perimeter of a form is determined by the length of its contour. A rectangle or square's perimeter is determined by adding the widths of its four sides. In this instance, the rectangle's length and breadth are represented by x and y, respectively. The surface of a form is used to compute its area.
Given here is: In her room, it is 86 inches wide. The width of the bed is 76 inches.
She also wants to accommodate a chest of drawers that is 72 centimeters broad, which equals inches.
=> 90 cm = 24.6546536565 inches
and the space left in her room = 86-76=10 inches
thus, the chest will not fit next to her bed
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2.
A cashier at the grocery store helped 2 customers in 10
minutes. At this rate, how many customers can he help in 30 minutes? Write a proportions & solve.
a) 160 customers
b) 0.6 customers
C) 6 customers
d) 5 customers
hope this helps you....have a nice day..
A box has three cards numbered 1, 2, and 3 A bag has three balls labeled a, b, and c Martina will randomly pick a card from the box and record the number chosen. Then she will randomly pick a ball from the bag and record the letter chosen. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the number chosen is 3. Use the format 1A to mean that the number chosen is 1 and the letter chosen is A. If there is more than one element in the set, separate them with commas.
Last Saturday an accident caused a traffic jam 13 miles long on a stretch of the
interstate.
a. How many vehicles do you think were in the traffic jam if the average car's
length measures approximately 15 feet? Explain your thinking and show all
calculations.
b. Would there be more or less vehicles if you were told there were a large
number of SUVs and trucks present in this traffic jam? Explain your thinking and
show all calculations.
There would have been 4576 cars in the traffic. If SUVs and Trucks are involved in jam, there would be fewer vehicles.
What is logical reasoning?Logical or deductive reasoning involves using a given set of facts or data to deduce other facts by reasoning logically.
Given that, Last Saturday, an accident caused a traffic jam 13 miles long on a stretch of the interstate.
13 miles = 68,640 feet
One car is of 15 ft
Let there be x cars,
15x = 68,640
x = 4576
Therefore, there are 4576 cars in traffic.
If there are more SUVs and trucks, their length will be more than a car and which will make less number of vehicles involved in the traffic.
Hence, There would have been 4576 cars in the traffic. If SUVs and Trucks are involved in jam, there would be fewer vehicles.
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help pls fractionsss tyy
The amount of syrup she needs is 3/4 cups of syrup. Option A
What is a fraction?A fraction can be described as the part of a whole variable, element or number.
The several types of fractions are;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsAlso, proportion can be defined as a mathematical comparison between two numbers
From the information given, we have that;
6 cups of soap = 1 /4 cup of syrup
Then 18 cups of soap = x cups of syrup
cross multiply, we get;
6x = 18(1/4)
multiply the values
6x = 18/ 4
Divide both sides by the coefficient of x , we get;
x = 18/ 4 × 1/6
x = 3/ 4 cup of syrup
Hence, the value is 3/4
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An exponential function has a starting value of 13 and a growth rate of 0.78%. Write an equation to model the situation.
Answer:
The equation that models the situation is [tex]A(t) = 13(1.0078)^t[/tex]
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the starting value and r is the growth rate, as a decimal.
Starting value of 13 and a growth rate of 0.78%.
This means that [tex]A(0) = 13, r = 0.0078[/tex]
Write an equation to model the situation.
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 13(1+0.0078)^t[/tex]
[tex]A(t) = 13(1.0078)^t[/tex]
The equation that models the situation is [tex]A(t) = 13(1.0078)^t[/tex]
The weights of a breed of dog are normally distributed with mean 22 lbs and standard deviation 1.6 lbs. Out of randomly selected sample to 200 dogs. How many might you expect to weigh more than 23 lbs? Round your answer to the nearest whole dog.
Answer: C or
41*67/2=1373.5
Step-by-step explanation:
Hi
HELP !!!!
Circle A has center of (4, 5), and a radius of 3 and circle B has a center of (1, 7), and a radius of 9. What steps will help show that circle A is similar to circle B? (6 points)
Group of answer choices
Translate circle A using the rule (x + 3, y − 2).
Dilate circle A by a scale factor of 3.
Rotate circle A 90° about the center.
Reflect circle A over the x-axis.
Answer:
Dilation if not then translation
Step-by-step explanation:
What is the value of f[g(3)] for the functions f(x) =x+2 and g(x) = 5x - 1
Answer:
Step-by-step explanation:
In this case we know the composition of f and g is
[tex]f(g(x))=f(5x-1)=5x-1+2=5x+1[/tex]
Thus if we change x by 3 we get
[tex]f(g(3))=5(3)+1=16[/tex]
58 is the difference of Janelle's height and 24.
Use the variable j to represent Janelle's height.
Answer:
Janelle's height is 82 units.
Step-by-step explanation:
Let j represent Janelle's height.
It is mentioned that, 58 is the difference between Janelle's height and 24.
Mathematically, we can write it as :
j-24 = 58
We can solve it as follows :
Adding 24 both sides,
j-24+24 = 58+24
j = 82
Hence, Janelle's height is 82 units.
how long will it take me to finish 25 episodes anime with over 24 minutes each episode?
Answer:
9.583 hours
Step-by-step explanation:
multiply both of them and divide by 60 youll get. how long it will take for u to complete an anime
Which sets of three numbers could represent the lengths of the sides of a right triangle?
Choose the two correct answers.
Responses
12, 15, 21
40, 42, 58
9, 40, 41
31, 40, 41
Answer: why do we even need math
Step-by-step explanation:
Mark and Connie are insure for 80% of the replacement value of their home, which is valued at $245,000. How much is the policy amount on their house?
Answer:
$196000Step-by-step explanation:
Value of the home = $245000Insurance = 80%Policy amount:
$245000*80/100 = $196000Answer:
$196,000
Step-by-step explanation:
Given information:
Value of home = $245,000Insurance replacement percentage = 80%To find the policy amount on their house, find 80% of the value of the home:
[tex]\begin{aligned}\sf Policy\:amount & = \sf 80\%\:of\:245000\\\\& = \sf \dfrac{80}{100} \times 245000\\\\& = \sf \dfrac{80 \times 245000}{100}\\\\& = \sf \dfrac{19600000}{100}\\\\& = \sf 196000\end{aligned}[/tex]
Therefore, the policy amount on Mark and Connie's house is $196,000.
plzzz a n s w e r thiss
Answer:
oki! Mizuki is here to help!
The answer is 61 cars!
Step-by-step explanation:
First, let's find how much money she needs to earn!
105 + 500 = 605
Then, we will divide the amount she needs to earn by the amount per each car!
605 ÷ 10 = 60.5
We get 60.5 As an answer but... since we must wash a whole car, we will round it up and get 61 cars as the answer!