Answers
Answer:
The degree of the equation is 5.
Step-by-step explanation:
At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.
What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:
(2x + 3) * (x² - 1)
In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:
(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)
= 2x³ - 2x + 3x² - 3
Now, we apply the same thing with the other two expressions:
(x + 1) * (x - 2)
= (x * x) + (x * -2) + (1 * x) + (1 * -2)
= x² - 2x + x -2
= x² - x - 2
For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:
(2x³ - 2x + 3x² - 3) * (x² - x - 2)
= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)
+ (-2x * x²) + (-2x * -x) + (-2x * -2)
+ (3x² * x²) + (3x² * -x) + (3x² * -2)
+ (-3 * x²) + (-3 * -x) + (-3 * -2)
= (2x⁵ - 2x⁴ - 4x³)
+ (-2x³ + 2x² + 4x)
+ (-3x⁴ - 3x³ - 6x²)
+ (-3x² + 3x + 6)
Simplifying:
= 2x⁵ - 5x⁴ - 9x³ - 7x² + 7x + 6The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.
Hope this helps
Related Questions
How many terms are in the expression
3x + 2y + Z
4
2
3
5
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Terms are chunks of number separated by signs, so basically how many numbers are separated by sign? The answer is 3
1. 3x
2. 2y
3. Z
you can perform 10 push ups in 25 seconds. write an equation that represents the relationship between time x and the number of pushups y.
Answers
The number of push-ups will be zero for zero seconds. Then the equation will be y = 0.4x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
You can perform 10 push-ups in 25 seconds.
Then the equation represents the relationship between time x and the number of pushups y will be
The number of push-ups will be zero for zero seconds.
Then we have
y - 0 = [10/25] (x - 0)
y = 0.4x
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
4. A regular hexagon is shown below. Find the value of x. (11x + 21)
Answers
Answer:
We need the picture
Step-by-step explanation:
Find the slope.
Bonus: Write the equation of the line.
Answers
Answer:
1 so y=1+b
Step-by-step explanation:
9514 1404 393
Answer:
slope: -1equation: y = -x +3Step-by-step explanation:
The slope is the ratio of "rise" to "run". The "rise" is the vertical distance between two points; the "run" is the corresponding horizontal distance.
Here, we see point A is (0, 3) and point B is (1, 2). Then the "rise" is 2 -3 = -1, while the "run" is 1 - 0 = 1. The slope is the ratio ...
m = rise/run = -1/1 = -1
The slope of the line is -1.
__
The point A is the y-intercept, where the line crosses the y-axis. It tells us the value of y is 3 when x=0. So, we can write the equation in slope-intercept form as ...
y = mx + b . . . . . where m is the slope (-1) and b is the y-intercept (+3)
y = -x +3
Tony has a bucket filled with 10 green, 3 blue, 1 red, and 7 yellow tennis balls. He removes 4 tennis balls from the bucket without replacing them.
Which of the following outcomes could represent the tennis balls Tony selected?
(A) All of the tennis balls are blue.
(B) There is 1 tennis ball of each color.
(C) There are exactly 3 green tennis balls.
(D) There are more red tennis balls removed than other colors.
(E) The number of red tennis balls is the same as the number of blue tennis balls.
Answers
Answer:
b
Step-by-step explanation:
The weekly production cost C of manufacturing x watches is given by the formula C = 6000 + 3x, where the variable C is in dollars.
" (a) What is the cost of producing 1000 watches?
Answers
Answer:
therefore, to produce 1000 watches , it would cost 9000 dollars.
Price : 9 dollars a watch
Step-by-step explanation:
C=6000 + 3x
what is the cost of producing 1000 watches?
first do this
C= (1000)= 6000 + 3(1000)
C= (1000)= 6000 +3000
C= 9000
SOLVEEEEEE XXXXXXXxx
Answers
Answer:
25 degrees
Step-by-step explanation:
The total angle sum of a triangle is 180 degrees
since the two sides are equal...
(x) + (x) + (4x + 30) = 6x + 30 = 180
==> x = 25 degrees
Please help ASAP. Thanks so much.
Answers
Answer:
D. 1/9
Step-by-step explanation:
The x-coordinate is -1/3
Write the equation in standard form using integers.
Answers
Answer:
it would be:
3x-4y=-8
Step-by-step explanation:
what are the equal factors to 10 to the second power
Answers
Answer:
100 i think
Step-by-step explanation:
Answer:
inequality 1 has a solution of 5
Step-by-step explanation:
2/5× = ?
I don't understand how to answer this
Answers
Answer:
10
Step-by-step explanation:
2x5 is basically 1x5= 5x2=10
7
Jackson is creating a rectangular board game that includes a diagonal line from two of the corners of the game. How long is the diagonal if the board game is 10 inches
long by 8 inches wide? Explain your reasoning. Round your answer to the nearest tenth of an inch.
Helppp
Answers
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.
A rectangular prism has a base that is 1.5 meters by 2 meters, and the prism is 4 meters
high. What is the surface area of the prism?
A 28 m
C 12 m2
B 34 m2
D 31 m²
Answers
Answer:
The answer is C. 12 m2
Step-by-step explanation:
Hope this helps!! :) :) Please mark brainlliest.
if x+y=5, then what does y-5 equal?
Answers
Answer:
-x
Step-by-step explanation:
rearrange the terms by adding or subtracting the same thing from both sides:
[tex]x+y=5\\y = 5 - x\\y - 5 = -x[/tex]
which set of number are right for this inequality x<14 plz help me i need help due in 20 min
A. 3,7,9,10,12
B. 15, 18 ,20, 21, 23
C. 17, 21, 24, 25, 31
D. 23, 27, 29, 30, 36
Answers
Answer:
it's A because all of those numbers are less than 14
Step-by-step explanation:
2ײ+5y-18 if x is 5 and y is 2
Answers
the answer is 659 because if x = 5 that means 25x25 = 625
and if y = 2 then 625 + 52 = 677
and then 677-18 = 659
Problem solved
Cam walked 4 units down and 8 units left to reach the origin. What is the ordered pair of his starting point?
Answers
- Peter's bike bill is automatically
deducting $78 from his bank
account every month. If his bank
account balance is at $234, how
many months will it take for Pete to
run out of money?
PLEASE
Answers
Sam says: 9.05kg is equal to 9500g. Is he right or wrong? Explain your answer.
Answers
Answer:
Step-by-step explanation:
Sam is wrong because 9,05 kg =9050g which is different to 9500g
Answer:
wrong 1 kilo in a gram is 1000 so u just going to add 1 zero on the back so 905+0= 9050 grams
(3.5 x 10^5) : (7x10^8)
What is the answer to this question?
: is divide
Answers
Answer:
5 • 10^-4 I evaluate this by using scientific notation.
The value of the ratio (3.5 x 10⁵) : (7x10⁸) is 0.0005.
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
To solve (3.5 x 10⁵) : (7x10⁸), we can simplify the expression by dividing the numerical coefficients and dividing the exponents separately.
Dividing the numerical coefficients 3.5 and 7, we get:
3.5 ÷ 7 = 0.5
Dividing the exponents 5 and 8, we get:
10⁵ ÷ 10⁸ = 10⁵⁻⁸
= 10⁻³
Therefore, the simplified expression is:
0.5 x 10⁻³
We can further simplify this expression by converting 10⁻³ to a decimal:
10⁻³ = 1/1000 = 0.001
So, the final answer is:
(3.5 x 10⁵) : (7x10⁸) = 0.5 x 10⁻³
= 0.5 x 0.001
= 0.0005
To know more about Expressions check:
brainly.com/question/16804733
#SPJ2
Solve the inequality.
-3.25y <-61.75
Answers
Step-by-step explanation:
-3.25y < -61.75
-3.25y < -61.75
-3.25. -3.25
whenever an inequality is divided by a negative number the sign changes, so if the sign of the inequality is greater than( > ) it becomes less than( < ) or the other way around. In this case the less than will be greater than.
y > 19 , S.S= [ 20,21,22,23.....]
A hot air balloon is at an altitude of
100 1/5 yards. The balloon's altitude decreases
by 10 4/5 yards every minute. Determine the
number of minutes it will take the balloon to reach an altitude of 57 yards.
Answers
Answer:
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
Step-by-step explanation:
Initial altitude:
100 1/5 yards = 100 + 0.2 = 100.2 yards.
Decrease per minute:
10 4/5 yards = 10 + 0.8 = 10.8 yards.
So, after t minutes, the height of the ballon is given by:
[tex]h(t) = 100.2 - 10.8t[/tex]
Number of minutes it will take the balloon to reach an altitude of 57 yards.
This is t for which [tex]h(t) = 57[/tex]. So
[tex]h(t) = 100.2 - 10.8t[/tex]
[tex]57 = 100.2 - 10.8t[/tex]
[tex]10.8t = 43.2[/tex]
[tex]t = \frac{43.2}{10.8}[/tex]
[tex]t = 4[/tex]
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice. How many cups of carrot juice are used for each cup of apple juice?
Answers
Answer:
1/2 cup carrot juice for every cup of apple juice
Step-by-step explanation:
Answer:
1/2 cup carrot juice for every cup of apple juice
Step-by-step explanation:
6:3 6 dived by 6 is 1 and 3 dived by 6 is 0.5 also known as 1/2
Which sets of side lengths could form a triangle?
A. 3 centimeters, 4 centimeters, 9 centimeters
B. 3 centimeters, 6 centimeters, 9 centimeters
C. 4 centimeters, 5 centimeters, 9 centimeters
D. 4 centimeters, 6 centimeters, 9 centimeters
Answers
Answer:
D. 4 centimeters, 6 centimeters, 9 centimeters
Step-by-step explanation:
Considering side length for forming a triangle, most of the time it is about Triangle Inequality Theorem, which for 3 sides length a,b,c, it must satisfy the following set of inequalities:
[tex]a+b>c\\a+c>b\\b+c>a[/tex]
By checking each of them only D satisfy:
[tex]4+6=10>9\\6+9=15>4\\9+4=13>6[/tex]
For simplicity you only have to check if the two shortest sides add up to be larger than the longest side:
[tex]4+6>9[/tex]
hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute what is the initial value of the linear function that represents the situation ?
Answers
Answer:
45.
Step-by-step explanation:
Since Hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute, to determine what is the initial value of the linear function that represents the situation, the following calculation must be performed:
45 (starting number) - 15(number of gallons per minute) X(minutes) = Y
Therefore, the equation would be 45 - 15X = Y, with which the initial value of the linear function that represents the situation is 45.
Shen started cleaning at 11:51 AM.
He finished at 1:29 PM.
How long did he clean?
hour(s) and minute(s)
Answers
Answer: 1 hour 38 minutes
Step-by-step explanation:
From 11:51 AM to 12:00 PM (noon)
9 minutes
from 12:00 PM to 1:00 PM
1 hour
1:00 PM to 1:29 PM
29 minutes
______________________________
9 minutes + 1 hour + 29 minutes
1 hour 38 minutes
Put the equation into this form
Answers
Answer:
y=x(x-2)-8
Step-by-step explanation:
hope this helps :)
A runner ran of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
How long did it take to run the entire race?
Answers
Answer:
4.2
Step-by-step explanation:
the kilometro is 5 and race is 21. 5÷21=4.2
Using the pattern rule, find the missing
value in the table.
y = x + 8
input X 1
output y 9
2 3 4
10 | 11 | [?]
Enter the number that belongs in the green box.
Enter
Answers
Answer:
y=12
Step-by-step explanation:
y=x+8
9=1+8
10=2+8
and so in...
y=?
4+8=12
Three uniform shirts sell for $34.50. How much will 5 uniform shirts cost?
Answers
Answer:
57.5
Step-by-step explanation:
Recognize our numbers
3,5,34.50
Three uniform shirts sell for 34.50
34.50/3
=11.5
How much will five cost?
5x11.5
=57.5
Hope this helps!
Answer:
55.25
Step-by-step explanation:
1. First we need to work out the price of ONE shirt. To do that we divide the total price of 3 shirts by 3.
34.50 / 3 = 11.05
2. Now we know that the price of one shirt is $11.05p we can multiply that by 5 to get the price of 5 shirts.
11.05 * 5 = 55.25
= $55.25p