Rewrite the expression as a polynomial in standard form.
The expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) can be rewritten in standard form as -2x³ + 5x² - 16x
How did we get the value?To rewrite the expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) as a polynomial in standard form, we can combine like terms.
First, let's distribute the negative sign in front of the parentheses:
(2x² - x³ - 9x + 1) - x³ - 7x + 3x² - 1
Next, let's group the like terms together:
2x² + 3x² - x³ - x³ - 9x - 7x + 1 - 1
Now, let's combine the terms:
(2x² + 3x²) + (-x³ - x³) + (-9x - 7x) + (1 - 1)
5x² - 2x³ - 16x + 0
Finally, the expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) can be rewritten in standard form as:
-2x³ + 5x² - 16x
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Each of my daughters has as many brothers as sisters, but each of my sons has three times as many sisters as brothers. How many children do I have?
The family has 3 sons and 3 daughters, for a total of 6 children.
Explanation:
The question is a problem in basic algebra which can be solved using simple logical reasoning. We are given that each daughter in the family has as many brothers as sisters, and each son has three times as many sisters as brothers.
Let's start by saying that the number of daughters is D and the number of sons is S.
If each daughter has the same number of brothers as sisters, that means D = S. But, each son has three times as many sisters as brothers, which we can express as S = 3*(D - 1), because the number of sisters for each son is the number of daughters minus one (each son doesn't count himself as a sister).
By substituting D from the first equation into the second, we get S = 3 * (S - 1), which simplifies to S = 3, and thus D = 3 as well.
So, the family has 3 sons and 3 daughters, for a total of 6 children.
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Find the slope of the line through the points (x1, y1) and (x2,y2)
Answer:
y2-y1/x2-x1
Step-by-step explanation:
if b is between a and c then ab+bc=ac
Using the speaking outline, how many times should you practice? five or more three two one
According to the speaking outline, it is recommended to practice your speech at least five times or more.
According to the speaking outline, you should practice your speech "five or more" times. Practicing your speech multiple times helps you become more familiar with the content, improve your delivery, and gain confidence in your presentation. The more you practice, the better prepared you'll be to deliver a successful speech.
Therefore, it is recommended to practice your speech at least five times or more.
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According to the speaking outline, it is recommended to practice your speech at least five times or more.
According to the speaking outline, you should practice your speech "five or more" times.
Practicing your speech multiple times helps you become more familiar with the content, improve your delivery, and gain confidence in your presentation.
The more you practice, the better prepared you'll be to deliver a successful speech.
Therefore, it is recommended to practice your speech at least five times or more.
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The sum of the angle measures of a polygon with n sides is 1260. find n.
The sum of the angle measures of a polygon with 9 sides is 1260.
What is Angle Sum property?To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.
As, the sum of the interior angles
(x - 2) x 180 where x is number of sides.
Here, the angle sum for n side is 1260.
So, (n -2) 180 = 1260
n -2 = 1260 / 180
n - 2 = 7
n= 7+2
n= 9 sides
Thus, the polygon have 9 sides.
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How to find the length of a line in a right triangle with 1 angle and the hypotenuse?
PLEASE HELP!!!
1. The coordinates of the vertices of triangle ABC are A(-1,3), B(1,2) and C(-3,-1).
Determine the slope of each side of the triangle and use that information to determine if the triangle is a right triangle or not.
2.The coordinates of the vertices of quadrilateral JKLM are J(-3,2), K(4,-1), L(2,-5) and M(-5,-2).
Find the slope of each side of the quadrilateral and determine if the quadrilateral is a parallelogram
13) Ms. Dowd gave each student 6 liters of water to perform an experiment. Before starting the experiment, students had to verify the volume of water they received by taking three different measurements. Which of the following was the most precise measurement Ms. Dowd received? *
A) 5.9
B) 6.045
C) 6.0014
D) 6.12
which fraction is less than 7/15
A: 5/9
B: 6/11
C: 1/2
D: 4/9
Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C
You are paid $82.50 for 7 1/2 hours of work. What is your rate of pay?
Solve for q.
s = 4p + 4q
I'm thinking q= s - 4p
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4
What is the product (6r-1)(-8r-3)
What is the number in scientific notation? 409,200,000,000
Problem page the sum of two numbers is 56 . the smaller number is 16 less than the larger number. what are the numbers?
What is the inverse of the conditional statement “If a number is divisible by 6, then it is divisible by 3”?
An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side? Explain how you would define a variable for this problem.
To find the length of the third side, we can set up an equation using variables. Solving the equation will give us the length of the third side.
Explanation:To solve this problem, we can define variables to represent the lengths of the two equal sides of the isosceles triangle. Let's say the length of each equal side is x. The third side can then be represented as 2x - 5. Since the perimeter of the triangle is 23 cm, we can set up an equation:
x + x + (2x - 5) = 23
Now we can solve for x:
4x - 5 = 23
4x = 28
x = 7
Therefore, the length of the third side is 2(7) - 5 = 9 cm.
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A storage tank at a 24-hour gas station contains 25,000 gallons of gasoline at 8:00 a.m. on Monday. At 8:00 a.m. on Friday of the following week, the amount of gasoline in the tank has decreased to 7000 gallons. What is the average hourly rate of change of gasoline in the tank?
what is the answer to this 5+5x=-2x+5=?
5+5x=-2x+5
Isolate the x. Add 2x to both sides, and subtract 5 from both sides
5 (-5) + 5x (+2x) = -2x (+2x) + 5 (-5)
5x + 2x = 5 - 5
8x = 0
Isolate the x. Divide 8 from both sides
8x/8 = 0/8
x = 0
0 is your answer
hope this helps
true or false circumference is the distance around the outside of a circle.
If one candy bar weighs 3 ounces what is the weight of 11 candy bars
Final answer:
The weight of 11 candy bars is calculated by multiplying the weight of one candy bar, which is 3 ounces, by 11. The total weight for 11 candies is equal to 33 ounces.
Explanation:
If one candy bar weighs 3 ounces, the weight of 11 candy bars can be found by multiplying the weight of one candy bar by the number of candy bars. The calculation would be as follows:
Multiply the weight of one candy bar by the number of candy bars: 3 ounces × 11 = 33 ounces.
Therefore, the weight of 11 candy bars is equal to 33 ounces.
Could someone help with 14 I know it’s not a Consecutive interior but it could be A) alternate interior B) alternate exterior C) corresponding D) exterior
Help me with this please
If you study hard, then you can pass the tests.
If you pass the tests, then you can pass the class.
What conclusion can be draw from the statements above?
A) Studying hard will allow you to pass the class.
B) Only students who pass tests study hard.
C) If you have passed the class, you must not have studied very hard.
D) Not passing tests means that you did not study.
Answer:
A) Studying hard will allow you to pass the class.
What are 6 centimeters equal to?
A. 600 meters
B.
1/6 of a millimeter
C. 60 millimeters
D. 600 millimeters
Which of the following are valid names of triangles below click all that apply
Answer
pic?
Step-by-step explanation:
SOMEONE PLZZ HELP WITH THESE 2 PROBLEMS ASAP PLSSSSS!!! HELP NEEDED!! WILL MARK BRAINLYIST!!
Cindy has 26 nickels. She is getting rolls of nickels from the bank. She has enough money to get up to 10 rolls of nickels and each roll contains 40 nickels. The bank will not give partial rolls. The function that models the number of nickels Cindy will have after leaving the bank is f(r)=40r+26, where r is the number of rolls of nickels she gets.
What is the practical range?
The graph shows the amount of dirt left to remove, y, with respect to number of loads of dirt, x.
What is the y-intercept?
What does the y-intercept represent?
(Graph is attached...) Thank you in advanced!
Good morning Sir/Ma'am!
Answer:
f(r) = 40r + 26
If she can only afford 10 rolls, then the maximum number of nickels Cindy will have is:
f(10) = 40(10) + 26 = 426 nickels
Step-by-step explanation:
Given function f(r)=40r+26, where r is the number of rolls of nickels she gets.
as it is already mentioned that she can get up to 10 rolls of nickels.
Therefore domain of function contains r ≤10,such that r is a natural number.
i.e.Domain of f(r)=all integers from 1 to 10, inclusive.
Domain of a f(x) is a set of values of x which make function f(x) well defined.
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1. Write the equation of the line that passes through the points (3, 6) and (4, 10) using function notation.
f(x) = 4x − 6
f(x) = x + 4
y = x + 4
y = 4x − 6
Answer:
1. f(x) = 4x -6
2. see the attachment
Step-by-step explanation:
1. The only two answer choices using "function notation" are the first two, which are of the form ...
f(x) = <some expression involving x>
The only one of these that can describe both points is the first one:
f(x) = 4x -6
f(3) = 4·3 -6 = 6
f(4) = 4·4 -6 = 10
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2. Slope is the ratio of rise to run. When it is zero, there is no rise for any amount of run: the line is horizontal. The appropriate choice is the graph that shows a horizontal line.
The data value x exists in two data sets: A and B. The mean is equal for both data sets. If the standard deviation for set A is greater than the standard deviation for set B, which is true for zx for set A?
Answer:
answer is B
it is less than Zx for set B
Step-by-step explanation:
Answer:
the second one
Step-by-step explanation: