Subtract the following polynomials, then place the answer in the proper location on the grid.
To subtract polynomials, align the terms and subtract their corresponding coefficients.
Explanation:Subtracting polynomials involves subtracting the corresponding terms from each other. Start by aligning the like terms and then subtract their coefficients. If there are any terms that cannot be simplified further, leave them as they are in the final answer. For example, if we have (3x^2 + 2x - 5) - (2x^2 - 3x + 4), we align the terms and subtract them to get (3x^2 - 2x^2) + (2x + 3x) + (-5 - 4) = x^2 + 5x - 9.
Solve the equation, justify each step with an algebraic property:
3(2-x)=24
A class of 12 girls and 14 boys is going to choose 3 students to represent them in student government. Allie suggested that the first 3 students to arrive in class the next day should be the representatives. Bobby suggested that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives. Whose method would result in a fair sample that represents the class population, and why?
Miguel has 3 times as many rabbits as Sarah. Miguel has 6 rabbits. How many rabbits does Sarah have?
A flat-screen television has a length that is 1 more inch than its width. The area of the television's screen is 1500 in cubed. To the nearest whole inch, what are the dimensions of the television
Final answer:
The dimensions of the flat-screen television with an area of 1500 square inches are approximately 38 inches in width and 39 inches in length.
Explanation:
To find the dimensions of a flat-screen television with an area of 1500 square inches and a length that is 1 inch more than its width, we can set up a quadratic equation. Let the width be w inches, then the length would be w + 1 inches. The area of the television's screen is given by the formula:
Area = width × length
Substituting the given values, we get:
1500 = w × (w + 1)
This simplifies to:
w² + w - 1500 = 0
Solving this quadratic equation, we find two potential solutions for w, but only the positive value makes sense in this context. Once we find the value of w, the width, we can then add 1 to get the length.
After calculating, we find that the width w is approximately 38 inches, and the length is approximately 39 inches. Therefore, the dimensions of the television are 38 inches by 39 inches to the nearest whole inch.
4x27+5x34-94=n what is the value of n
divide use partial quotients. 2950÷67
Anna is making macaroni for cousin's birthday party for every 3 cups of macaroni she needs to use 9 cups of water based on this information how many cups of water are needed if she uses 11 cups of macaroni?
She needs 33 cups of water for 11 cups of macaroni.
What is unitary method ?Unitary method is a technique for first determining the value of a single unit and then deriving the values of any given unit from it.
According to the given question Anna is making macaroni for cousin's birthday party for every 3 cups of macaroni she needs to use 9 cups of water.
∴ For 1 cup of macaroni she needs 9/3 cups of water which is equal to 3 cups.
So, For 11 cups of macaroni she needs (11×3) = 33 cups of water.
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Your friend has 5 more then twice as many game tokens as your sister. Let T be the number of game tokens your sister has. Write and expression for the number of game tokens your friend has
The number of game tokens that the friend has can be represented as the algebraic expression '2T + 5', where 'T' represents the number of game tokens the sister has.
Explanation:The question asks to express the number of game tokens your friend has in terms of 'T', the number of game tokens your sister has. As the information provided states, your friend has '5 more than twice' the amount which your sister has.
The mathematical expression for this will be '2T + 5', where 2T is twice the number of tokens your sister has and 5 is the extra tokens your friend has over twice your sister's total.
So, if your sister has 'T' number of game tokens, your friend will have '2T + 5' number of game tokens.
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HELP PLEASE!
Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
Please help me with math please, they are number lines.
Jin’s pays 3.48 for a bag of 12 tangerines find the unit price in dollars per tangerine if necessary round your answer to the nearest cent
Answer:
0.29
Step-by-step explanation:
Final answer:
To find the unit price of tangerines Jin bought, divide the total cost of $3.48 by 12. This gives a unit price of $0.29 per tangerine.
Explanation:
To find the unit price of the tangerines that Jin purchased, you need to divide the total cost by the number of tangerines.
Jin paid $3.48 for a bag of 12 tangerines. Therefore, to calculate the price per tangerine, use the following equation:
Unit Price = Total Cost / Number of Units
Unit Price = $3.48 / 12 tangerines
Unit Price = $0.29 per tangerine
If necessary to round to the nearest cent, the unit price remains $0.29 since it is already at the cent level.
Can somebody help me find the missing one
find the coordinates of the midpoint of HK if H(-1,2) and K(-7,-4)
Answer:
The midpoint of HK is (-4, 1)
Step-by-step explanation:
We are given two coordinates H(-1, 2) and K(-7, -4)
We need to find the midpoint of HK.
We have formula to find the midpoint.
[tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} }[/tex]
Here [tex]x_1 = -1, y_1 = 2, x_2 = -7 and y_2 = -4[/tex]
Now plug in these values in the above formula, we get
[tex](\frac{-1 + (-7)}{2} , \frac{2 +(-4)}{2} )[/tex]
[tex](\frac{-8}{2}, \frac{-2}{2} ) = (-4, -1)[/tex]
So, the midpoint of HK is (-4, 1)
142.5 devided by 9.5 find the quotient
x – 14 = 13
Does this equal 27 or -27
Cole had 3/4 of an hour of free time before dinner he spent 2/3 of that time playing the guitar how long did he play the guitar
Which expression is equivalent to (^4√5^3)^(1/2)
5^6
5^3/8
5^16/3
5^2/3
The function graphed is f(x). What is the function rule? Write the rule in function notation, using the slope-intercept form of a line. Enter your answer in the box.
Answer: i did it
Step-by-step explanation:
Alice needs twice as many yards and ribbon as Quincy how many rolls and ribbon does alice need
Whole number between 9 4/9 and square root of 144
Answer:
Whole number between [tex]9\frac{4}{9}[/tex] and [tex]\sqrt{144}[/tex] are 10 and 11.
Step-by-step explanation:
To find : Whole number between [tex]9\frac{4}{9}[/tex] and [tex]\sqrt{144}[/tex]?
Solution :
Writing numbers into simpler forms,
[tex]9\frac{4}{9}=\frac{85}{9}\approx 9.44..[/tex]
[tex]\sqrt{144}=12[/tex]
So, The number between 9.44.. and 12.
i.e. [tex]9.44..<x<12[/tex]
Whole number is defined as a number without fractions or decimal.
Between 9 and 12 the whole numbers are 10 and 11.
Therefore, Whole number between [tex]9\frac{4}{9}[/tex] and [tex]\sqrt{144}[/tex] are 10 and 11.
Is this question impossible? If not help with a solution
how do I write A quadratic Equation From a Parabola and A Chart
To write a quadratic equation from a parabola and a chart, you can use the vertex form of a quadratic equation which is y = a(x - h)^2 + k. Substitute the coordinates of two points on the parabola into the equation and solve for the unknown variables. Once you have the values, substitute them back into the equation to obtain the final quadratic equation.
Explanation:To write a quadratic equation from a parabola and a chart, you will need to use the vertex form of a quadratic equation which is y = a(x - h)^2 + k. In this form, (h,k) represents the coordinates of the vertex of the parabola.
The equation can be determined from the chart by finding two points on the parabola and substituting their coordinates into the equation.
Here are the step-by-step instructions:
Select two data points from the chart that lie on the parabola.Substitute the x and y coordinates of the first point into the equation y = a(x - h)^2 + k.Substitute the x and y coordinates of the second point into the equation.Now you have two equations with two unknowns (a and h), solve the system of equations to find the values of a and h.Once you have obtained the values of a and h, you can substitute them back into the equation y = a(x - h)^2 + k to get the final quadratic equation.which statements are true about the race
The number of people who purchased a new car from Force Motor Company is 170% of the number of people who purchased a new car from Ampere Motors. If 60 people purchased a car from Ampere Motors, how many people purchased a car from Force Motor Company? A. 60 B. 70 C. 102 D. 170
Answer:
c
Step-by-step explanation:
102 people purchased a car from Force Motor Company
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The number of people who purchased a new car from Force Motor Company is 170% of the number of people who purchased a new car from Ampere Motors.
If 60 people purchased a car from Ampere Motors, then we need to find number of people who purchased a car from Force Motor Company.
We will find it by
170%×60
170/100×60
1.7×60
102
Hence 102 people purchased a car from Force Motor Company
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On a grid Joe’s house is marked at ( -5, -3 ) and Andy’s house is marked at ( 3, -1 ). What is the distance, on the grid, between Joe’s house and Andy’s house?
Answer:
The distance is [tex]\sqrt{68} =2\sqrt{17}[/tex]
Step-by-step explanation:
Locating the points on the plane we can form a right triangle between them and solve the problem using the Pythagorean theorem.
*see attached image*
The sides of the triangle formed measure 8 and 2, so by pythagoras, the unknow side [tex]x[/tex] wich is the distance between the houses is:
[tex]x^2=8^2+2^2\\x^2=64+4\\x^2=68\\x=\sqrt{68}=\sqrt{4*17}=2\sqrt{17}[/tex]
So the distance, on the grid, between Joe’s house and Andy’s house is [tex]2\sqrt{17}[/tex]
Tell wether the relationship is a proportional relationship or not.
Simplify the expression. 9 3 × 2 a. 15 b. 21 c. 24 d. 48
evaluate the expression
Elio Makes candles that are 14 cm tall. Each candle burns eight hours before going out. He is wondering how many hours a 21 cm tall candle can burn for.
Final answer:
A 21 cm tall candle should burn for 12 hours, as it is 1.5 times taller than a 14 cm candle which burns for 8 hours.
Explanation:
The problem is one of direct proportion where the height of the candles is directly proportional to the burning time. If a 14 cm tall candle burns for 8 hours, then a 21 cm tall candle, which is 1.5 times taller, should burn for 1.5 times longer. Hence, to calculate the burning time for the 21 cm candle, we multiply 8 hours by 1.5.
Calculation:
21 cm / 14 cm = 1.5
8 hours × 1.5 = 12 hours
Therefore, a 21 cm tall candle should burn for 12 hours.