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).
What are some examples of polynomials?
picture of a polynomial,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. The number 10 is not a polynomial by this definition.However, the polynomial is frequently represented by the number 10 (10,0,0,...).This is an illustration of a symbol that is "overloaded," which can occur in math on sometimes.Ideally, the context will always make the meaning evident. Because whole numbers are singular terms without a variable, they would not be considered polynomials by themselves. However, a whole number could be a part of a polynomial as that polynomial's constant term.The leading coefficient is the first term of a polynomial.4x5+2x2−14x+12.A polynomial is simply a sum of several monomials.A polynomial with only two terms can be referred to as a binomial, and a polynomial with three terms is referred to as a trinomial.(3x-4)9x³+6x²+13x-5
derivative of polynomial
axn-1
3x1-1
3x°
3×1
t=3
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Write an equation of the line in point-slope form passing through the point and parallel to the given line.3-X + 52(1,-1) y = 2
Answer:
Explanation:
The slope of the given line is 3/2
A line parallel to this has the same line but different y-intercept.
IIn point-slope form, it is:
[tex]y-y_1=m(x-x_1)_{}[/tex]Where
[tex]\begin{gathered} x_1=1 \\ y_1=-1 \\ m=\frac{3}{2} \end{gathered}[/tex]Using these, we have:
[tex]\begin{gathered} y-(-1)=\frac{3}{2}(x-1) \\ \\ y+1=\frac{3}{2}(x-1) \end{gathered}[/tex]I WILL GIVE BRAINLIEST!! In 1988, each person in the United States threw out, on average, 1.92 pounds of paper and plastic every day. By weight, the amount of paper thrown away was 5 times greater than the amount of plastic. How many pounds of paper was this?
PLEASE SHOW WORK
Answer:
1.92x5=9.6 pounds everyday.
Step-by-step explanation:
three friends ate at a restaurant. they ordered nachos for $19.95 and jalapeno poppers. each friend paid $9.73, not including sales tax or tip, which was one third of the total. determine the cost of the jalapeno poppers. $6.65 $9.24 $18.48 $29.19
The cost of the jalapeno poppers was $9.24 if each friend paid $9.73.
The cost of the jalapeno poppers can be determined by using multiplication followed by subtraction.
First, we determine the total amount paid by the three friends;
If each friend paid $9.73, then;
Total amount = 9.73 × 3
Total amount = $29.19
Now to find the cost of jalapeno poppers, we subtract the cost of nachos from the total amount paid by the three friends;
cost of jalapeno poppers = total amount - cost of nachos
cost of jalapeno poppers = 29.19 - 19.95
cost of jalapeno poppers = $9.24
Therefore, the cost of jalapeno poppers is calculated to be $9.24.
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PLease help it’s due tomorrow morning
Explain the step that is used to solve the equation
11 = x - 5
Answer:
x=16
Step-by-step explanation:
11=x-5
first you need to get x alone on one side so you add 5 on both sides
11=x-5
+5. +5
11 + 5 is 16, so
16=x
Complete the following statement. Use the integers that are closest to the number in the middle.
? < 90 < ?
The integers that are closest to the number in the middle will be 89 < 90 < 91.
What is an integer?It should be noted that an integer simply means a whole number that can be positive, negative, or zero.
It should be noted that on this case, we have to look for the numbers that are closest to 90 one has to be less than 90 and the other one should be greater than it.
Therefore, the numbers that fits the information will be 89 and 91.
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How are the solutions to the inequality -2x≥10 different from the solutions to −2x>10? Explain your reasoning.
Answer:
The difference is that the first equation, -2x≥10 -2x can be greater than or equal to 10 but the second equestion is only greater than ten.
Step-by-step explanation:
He number of nano-related patents that are granted in the us increases by a factor of 1.21.21, point, 2 every year. in 199119911991, there were 606060 nano-related patents. which expression gives the number of patents in 199819981998?
The exponential function y = 60(1.2)7 yields the number of patents in 1998.
The formula for an exponential function is f (x) = ax, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis. Let y be the number of nanotechnology-related patents issued in the US in year x following 1991.
There were 60 patents on nanotechnology in 1991, and since then there has been a factor of 1.2 increase.
y = 60(1.2)ˣ
y = 60 in 1998 (7 years ago) (1.2)⁷
The exponential function is used to calculate the number of patents in 1998.
y=60(1.2)⁷
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in 201520152015 the populations of city x and city y were equal. from 201020102010 to 201520152015, the population of city x increased by 20\ , percent and the population of city y decreased by 10\, percent. if the population of city x was 120{,}000120,000120, comma, 000 in 201020102010, what was the population of city y in 201020102010?
Answer:
Step-by-step explanation:
Answer:
The exact Population of the city Y in 2010 was 160,000.
Step-by-step explanation:
Given that,
1. In the year 2015, the populations of City X and City Y were equal.
2. City X population is increased by 20% and City Y population is decreased by 10% from 2010 to 2015.
3. Also, the population of City X was 120,000 in 2010
With the given data, calculation goes like this,
The population of City X in 2010 is 120000
Population Increased by 20% till 2015,
= 120000×120/100
= 144000
As Population of city Xand Y are same,
Population of city Y in 2015 would be 144000.
Population of Y in 2010 was decreased by 10%,
= 144000×100/90
=160000
Therefore, the Population of city Y in 2010 was 160,000.
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Help please:):)
Create a table of data for two different linear functions. The table should use that same values of x for both functions. Based on your table, will the graph of these two functions intersect? Explain your answer
Graph of two linear functions y=2x+7 and y=-x+4 will intersect at (1,5)
What do you means by linear function?
A linear function produces a straight line in the algebraic coordinate plane. It often takes the form of a polynomial function with a maximum degree of 1 or 0.
Calculus and linear algebra are also used to express the linear functions.
The primary distinction can be found in the function notation.
An ordered pair stated in function notation must be understood.
Below is a data table for two distinct linear functions with the identical x values for both functions.
x | y=2x+7 y=-x+4 -3 | 2(-3)+7=-6+7=1| -(-3)+4=3+4=7 -2 | 2(-2)+7=-4+7=3|-(-2)+4=2+4=6 -1 | 2(-1)+7=-2+7=5|-(-1)+4=1+4=5 0 | 2(0)+7=0+7=7 |-(0)+4=0+4=4 1 | 2(1)+7=2+7+9 |-(1)+4=-1+4=3 2 | 2(2)+7=4+7=11|-(2)+4=-2+4=2 3 | 2(3)+7=6+7=13|-(3)+4=-3+4=1
The table demonstrates that the function y = 2x + 7 and the function y = -x + 4 both have values of 5 for x = -1.
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In the New York State Numbers Lottery, you pay $1 and pick a number from 000 to 999. If your number comes up, you win $750, which is a profit of $749. If you lose, you lose $1. Your probability of winning is 000.1.
-3(y + 4) + 4 (2y - 2) simplify
Answer:
7y-20
Step-by-step explanation:
-3y-12+8y-8
7y-20
Answer:
5y - 20
Step-by-step explanation:
Simplify the expression.Remove the parenthesis by multiplying each term of (y+ 4) by (-3) and multiplying each term of (2y - 2) by 4
-3(y + 4) + 4(2y - 2) = (-3)*y + (-3)*4 + 4*2y - 2*4
= -3y - 12 + 8y - 8
= -3y + 8y -12 - 8
Combine like terms (-3y & 8y) and constants (-12 & -8).
= 5y - 20
Read the question below:
The rule for the function g(x) is g(x) = x - 5 when f(x) = 5 and vertical down to 5 units.
Functions:
Function refers the relationship from a set X to a set Y assigns to each element of X exactly one element of Y
Given,
Let g(x) indicated the transformation of f(x)
Here we need to write the rule for g(x) when f(x) = x, and vertical translation down 5 units.
Here we have the function f(x) = x.
Considering the normal graph, we know that, the graph has four parts.
And each part refers difference sign. That is,
Horizontal left indicates the positive where as the horizontal right refers the negative for x axis.
Similarly, vertical up refers the positive and the vertical down represents the negative.
Here we have the vertical down translation of 5 units which refers the negative 5.
So, the rule of g(x) = x - 5.
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What type of pay is modeled below?
A. Hourly pay with a bonus. B. Hourly pay without a bonus. C. Commission pay D. Piece rate
The type of pay which is modeled in the image attached below is: D) piece rate.
What is a pay?Money or something paid for a purpose and especially as a salary or wage
The types of pay.
In Mathematics, there are four 5) different types of pay and these include:
The different types of compensation include:
Salary.
Hourly Wages.
Sales Commission.
Tips.
Stock Options.
Bonuses.
Incentive Pay.
Other Variable Pay.
Salary
Commission
Bonuses
Piece rate
Method of wage payment that remunerates the employees on the basis of quantity they produced is known as piece rate.
Plucking tea
The number of tee-shirts produced.
Pruning fruit trees
Sorting second-hand clothes (garments)
Hence the graph of a piece rate model is characterized by a straight line with the slope upwards as represented in the image attached.
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Jim and Maureen are training for a marathon. Jim runs 6 kilometers at a time while Maureen prefers to run in blocks of 3 kilometers. At the end of the month, they realize that they have run the same total number of kilometers. What is the smallest number of kilometers that each must run?
The smallest number of kilometers that each must run is 6 kilometers.
What will be the least common multiple?From the information, Jim runs 6 kilometers at a time while Maureen prefers to run in blocks of 3 kilometers and at the end of the month, they realize that they have run the same total number of kilometers.
It should be noted that the question simony had to do with finding the least common multiple. This will be:
Multiple of 3 = 3, 6, 9, 12
Multiple of 6 = 6, 12
The least common multiple is 6.
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Can you please help me?
Thank you
Answer:
-2/5
Step-by-step explanation:
m = (10 - 8)/(31 - 36) = 2/(-5) = -2/5
While exercising George walked 1/2 of a mile in 1/3 of an hour. At this rate, how far will he have travelled after an hour?
Answer: 1 1/2 in a hour
Step-by-step explanation:
1/2 every 1/3 so if we add one more half it is 1 and 2/3 the last one is 1 1/2 is 1 full hour.
(−20/35)÷12/20 What is the quotient
Answer:
-1/420
Step-by-step explanation:
-4/7/12/20
= -1/21/20
= -1/420
1 In a recipe, for every cup sugar, 3 cup flour is needed. How many cups of sugar 4 are needed for 1 cup of flour? Write your answers in the blanks. 13334 || = 1/ 3 IL *
I need first 2 blanks then 2 more blanks flilled in.
In the given recipe, 1/3 cup of sugar is needed for 1 cup of flour.
What do you mean by recipe?
A recipe is a set of instructions for preparing a dish or dessert, such as your mother's chocolate chip cookie recipe, which has won numerous awards.
The phrase "recipe" is most frequently used while discussing cookery. It covers both the steps to prepare it as well as a list of the ingredients you'll need. Recipes can be found in cookbooks, newspapers, periodicals, websites, publications, and even passed down via families. A recipe isn't just for cooking; it may also be a formula: the formula for success is a combination of diligence, timing, and a little luck.
As given in the question, In the recipe
For every cup of sugar, 3 cups of flour is needed. we can write it as:
1 cup of sugar = 3 cups of flour
we need to find how many cups of sugar needed for 1 cup of flour.
So, dividing the above equation with 3.
1/3 cups of sugar = 1 cups of flour.
Therefore, In the given recipe, 1/3 cups of sugar is required for 1 cup of flour.
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candy and tim share a paper route. it takes candy 50 min to deliver all the papers, and it takes tim 100 min. how long does it take the two when they work together?
It takes a time of 33 mi 33 sec for the two when they work together
Let x be the overall quantity of papers that must be delivered.
Candy can deliver x/50 papers in a minute.
Tim can deliver x/100 papers in a minute.
Tim and Candy took their time gathering all the papers together =x/ (x/50 +x/100)
= x/ (3x/ 100)
=100/ 3 minutes
=33 minutes 33 seconds
When Tim and Candy collaborate, it takes them 33 minutes and 33 seconds to distribute all the papers.
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Answer:
Step-by-step explanation:
It takes a time of 33 min 33 sec.
Let x be the overall quantity of papers that must be delivered.
Candy can deliver x/50 papers in a minute. Tim can deliver x/100 papers in a minute. Tim and Candy took their time gathering all the papers together =x/ (x/50+x/100) = x/(3x/ 100) =100/ 3 minutes =33 minutes 33 seconds
That is When Tim and Candy collaborate, it takes them 33 minutes and 33 seconds to distribute all the papers.
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Please help me. I tried every answer possible. Due today. I’ll give brainliest too
Which comparison symbol makes each inequality statement true?
Enter <, >, or = to make each statement true.
Enter your answers in the boxes.
−6.809
−6.812
|−6.809|
|−6.812|
Comparison symbol makes each inequality statement true is −6.809< −6.812.
The given numbers are −6.809 and −6.812.
What is a inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.
−6.809< −6.812
|−6.809|>|−6.812|
Therefore, comparison symbol makes each inequality statement true is −6.809< −6.812.
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please help meee
xddd
Answer:
I'm thinking it's 22, but I could be wrong.
Step-by-step explanation:
Write an equation that represents the line.
Use exact numbers.
Answer: y=3/4x-4.5
Step-by-step explanation: Looking at the two points on the line, it goes up 3 times and right 4 times, making it 3/4x. To find the y-intercept, you look where the line intersects the y-axis, and it intersects at y=-4.5.
SAT QUESTION HELLP ME
Answer:
22.5
Step-by-step explanation:
we can use the ratios to turn x+y+z=180 to x+4x+3x= 180
then solve for 180
x = 22.5
Answer: D.) 22.5°
Have a nice day!
A painting in the shape of a rectangle has side lengths of 30 inches and
21 inches. You buy a print of the painting with side lengths of 10 inches and
7 inches. Is the print similar to the original painting? Explain your reasoning
Answer:
Yes! The painting is similar.
Step-by-step explanation:
The sides of the original painting are 30 and 21. If you divide this by 3, it equals 10 and 7 which are the sides of the print. This means that the ratio is right so the paintings are similar.
An art teacher found that in a bin of markers, of the caps had been left off the markers. of these markers, of them were dried up. use the model to find what fraction of the markers had the lids left off and were dried up.
Answer:
there is no model linked
Step-by-step explanation:
(1) PQRS is a rhombus. Prove that APQT = APST by using all four conditions of congruency.
Four conditions of congruency are: SSS, ASA, SAS, RHS
Using SSS congruency,
Side: PS = PQ (by the rule, all sides of rhombus are equal)
Side: ST = TQ (by the rule, diagonals bisect each other)
Side: PT = PT (common)
Therefore, Area(PQT) = Area(PST) by SSS congruency
Using ASA congruency,
Angle: ∠TPS = ∠TPQ (diagonals bisect the angles)
Side: PS = PQ (by the rule, all sides of rhombus are equal)
Angle: ∠PST = ∠PQT (opposite angles are equal, and diagonals bisect the angles)
Therefore, Area(PQT) = Area(PST) by ASA congruency
Using SAS congruency,
Side: ST = TQ (by the rule, diagonals bisect each other)
Angle: ∠PTS = ∠PTQ (by the rule, diagonals bisect each other at 90°)
Side: PT = PT (common)
Therefore, Area(PQT) = Area(PST) by SAS congruency.
Using RHS congruency,
Right angle: ∠PTS = ∠PTQ (diagonals bisect each other at 90°)
Hypotenuse: PS = PQ (all sides of rhombus are equal)
Corresponding Side: ST = TQ (by the rule, diagonals bisect each other)
Therefore, Area(PQT) = Area(PST) by RHS congruency
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Evaluate. Write your answer as a whole number or as a simplified fraction.
Find the derivative, if it exists, of the function at the specified point.() = ^2 − 4 + 3 at = 1
Find the derivate of the expression using the general procedure to find the derivative of a polynomial function. To do it, multiply the term times the exponent of the variable and raise the variable to the original exponent minus 1:
[tex]\begin{gathered} f(x)=x^2-4x+3 \\ f^{\prime}(x)=2x^{2-1}-4x^{1-1}-0\cdot3 \\ f^{\prime}(x)=2x-4 \end{gathered}[/tex]Now that we have the expression for the derivative of the function, evaluate it at the value of x that is in the question statement, which is 1:
[tex]f^{\prime}(1)=2(1)-4=2-4=-2[/tex]The derivative of the function is -2 at x=1.
[(4•(-2)+(-3)]•(4-2-(-3)
Step-by-step explanation:
hope it helps you
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