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
About 20 raindrops will make one milliliter. How many raindrops would you need to fill a 3.5 liter bottle?
Answers
Answer:
Step-by-step explanation:
70
Select all the situations that describe a probability of 1/6 of drawing a red marble out the bag.
(A) 1 red, 6 yellow, 6 green, 6 blue, 6 white
(B) 3 red, 4 yellow, 4 green, 4 blue, 3 white
(C) 4 red, 5 yellow, 5 green, 4 blue, 6 white
(D) 6 red, 6 yellow, 6 green, 6 blue, 6 white
6 red, 4 yellow, 8 green, 6 blue, 12 white
Answers
E) 6 + 4 + 8 + 6 + 12 = 36 (total marble count)
6 red/36 total marbles
simplify to find the probability ⬇️
(6/6=1; 36/6=6) = 1/6 chance of picking red
A video gets 280 views every 7 hours, how long will it take for the video to reach 1000 views.
Answers
Answer:25 hours
Step-by-step explanation:
A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 4096 in3. How big a piece of cardboard is needed?
Your answer is:
in. by
in.
Answers
Answer:
oh wait I'm bad - ignore this first answer lol - I didn't read the part that says cutting 4 in. squares off the corners
Here's my previous one if you wanna see it though:
Answer:
A = 1280 in²
Step-by-step explanation:
We know that the volume of a cube is A = a³, where a is the length of one of the edges.
So, to find a:
a³ = 4096
a = ∛4096
a = 16 in
Now, we need to find the surface area of the square on the cube, where:
A = 6a², because we are making a box (that is empty inside).
However, we need to change the formula to:
A = 5a², because the problem says that there is no top (so there are only 5 squares)
A = 5(16)²
A = 1280 in²
10. The radius of a small wading pool is 3 feet. What is the circumference of this pool?
Answers
Answer:
18.85
Step-by-step explanation:
C=2πr=2·π·3≈18.84956
The circumference of this pool is 6π feet.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
Given:
The radius of a small wading pool is 3 feet.
r = 3 feet
And the pool is circular.
So,
circumference of circle = 2πr
Circumference of circle = 2π(3)
Circumference of circle = 6π feet
Therefore, 6π feet is the circumference of the pool.
To learn more about the circle;
https://brainly.com/question/29142813
#SPJ6
For 50 consecutive days, a process engineer has measured the weight of a component after it has been coated with special paint. Each day, she takes a sample of 10 components. The average across all 500 components is 45.343019 grams. The average range across all parts is 0.0076382 grams. When constructing an X-bar chart, what would be the centerline, and what would be the upper and lower control limits
Answers
Answer:
UCL (X-bar) = X mean+ (A2 x R-bar)
LCL (X-bar) = X mean -(A2 x R-bar)
Center line = Mean
A2 for sample size of 10 = 0.308
X mean = 45.343019
R bar = Average of range = 0.0076382
UCL (X-bar) =45.343019+(0.308*0.0076382) = 45.3453715656 grams
LCL (X-bar) = 45.343019-(0.308*0.0076382) = 45.3406664344 grams
Center line = Mean = 45.343019
Diana spent $5 on lunch. She purchased a sandwich and a drink. The drink cost $2. The
equation s + 2 = 5 can be used to find the cost s of the sandwich. Which model shows the
equation?
Answers
subtract 2 from 5 and you get 3
Need help on this please any one
Answers
d=√(-8-[-2])^2+(-2-[-10])^2
d=√(-6)^2+(8)^2
d=√36+64
d=√100
d=10
PLEEEASSEEEEE HELP ME...THIS HAS TO BE TURNED IN 10 MINUTES...WILL GIVE BRAINLIEST..there are two pics plllease help me..THAKYOU!!!
Answers
Answer: I cant see the picture
Step-by-step explanation:
Answer:
lol
no
ask
it teacher of it school
Which of the following expressions is equivalent to: 4x-12 *
16x
O
-8x
4(x-3)
O
4 + X-12
O
4(x-12)
Answers
Answer:
4(x - 3)
Step-by-step explanation:
4x = 4 * x
12 = 4 * 3
GCF = 4
4x - 12 = 4*x - 4*3
= 4(x - 3)
the second one.
............................
please helppp with my geometry
Answers
Answer:
a (-3,6)
b (6,9)
c (9,3)
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
someone please help me solve this. i'll give brainliest!
Answers
Answer:
1) 7x+5y
2) -19m +14r
3) 2 •(11b+20c)
4) 5•(2x-5)
5) 7•(m+1)
Step-by-step explanation:
You're welcome
The vertical line graph shows how often each number on a standard dice comes up. What percentage of rolls were a 6?
Answers
Answer:
21%
Step-by-step explanation:
Out of the 25 + 9 + 12 + 21 + 12 + 21 = 100 total rolls, 6 came up 21 times so the percentage is 21/100 = 21%.
I hope this helps.
Please give me brianliest!
-5 + 8 • -7
help lols
Answers
Answer:
Step-by-step explanation:
-5 + (8 x -7)
using PEMDAS, (8 x -7) = -56
so -5 + -56 = -61
200 centimeters to 5 meters write ratio in simplest form
Answers
Answer:
5.2
have a nice day
negative 5x plus 4y equals 3 i need x and y thank youu
Answers
Answer:
put value of y in equation i
tres carpinteros juan alberto y luis se encargaron de hacer 6 mesas iguales por lo que recibieron $600 pesos juan hizo una mesa alberro hizo 2 mesas y luis 3 mesas cuanto dinero corresponde a cada uno
Answers
Answer:
primero divides 600 entre 6 te da 100
entonces cada mesa vale 100 pesos así que
100x1:100 así que a juan le tocan 100 pesos
100x2:200 así que Alberto le tocan 200 pesos
100x3:300 así que a Luis le tocan 300 pesos
Me das coronita plisBRAINLIEST! What is the slope of the line ?
Answers
Answer:
[tex]\displaystyle m=\frac{-4}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-3, 1)
Point (2, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-1}{2+3}[/tex][Slope] Subtract/Add: [tex]\displaystyle m=\frac{-4}{5}[/tex]PLEASE HELP 11 POINTS!!
find the composition of transformations that map ∆PQR to ∆P'Q'R. Rotate 90 counterclockwise about the origin and then reflect over the ___?
Answers
Answer:
x-axis
Step-by-step explanation:
Find angle picture below!
Answers
Answer:
Angle T = 62°; Angle U = 43°; Angle V = 75°
Step-by-step explanation:
First, find x. We know that the interior angles of a triangle will always add up to 180°.
180° = (5x +2)° + (6x + 3)° + (2x + 19)° –––Combine like terms
180° = 13x + 24 –––Subtract 24 from both sides
156° = 13x ––– Divide both sides by 13 to get x alone
12° = x
Now that we know what x is, we can substitute it in the expressions for the angles.
Angle T:
5x +2
5(12) + 2
60 +2
62°
Angle U:
2x + 19
2(12) + 19
24 + 19
43°
Angle V:
6x + 3
6(12) + 3
72 + 3
75°
Check:
They must equal 180° when added together:
75° + 62° + 43° = 180°
75° + 105° = 180°
180° = 180°
HELP
WRITE AS EQUATION IR EXPRESSION
500 decreased by sum of a number and 2 is 300
Answers
[tex]500 - (2 + n) = 300[/tex]
Hope this helps.
Cab A charges $20 at the start and $5 every mile after . Cab B charges $30 no matter how far you go. What are their initial values and their rates of change? When will their fares be equal?
Answers
Answer:
Car A: Initial Charge = 20
Car B: Initial Charge = 30
Car A: Rate = 5
Car B: Rate = 0
At 2 miles, their charges will be the same
Step-by-step explanation:
Given
Car A
[tex]Base\ Charge = \$20[/tex]
[tex]Rate = \$5[/tex] per mile
Car B
[tex]Base\ Charge = \$30[/tex]
Solving (a): The initial charge
First, we get the linear equation that represents both car's charges.
Represent number of miles with m.
So, the charges is:
Car A
[tex]A = Base\ Charge + Rate * m[/tex]
[tex]A = 20 + 5 * m[/tex]
[tex]A = 20 + 5m[/tex]
Set m to 0 to get the initial charge:
[tex]A = 20 + 5*0[/tex]
[tex]A=20[/tex]
and
[tex]Rate = 5[/tex]
Car B:
[tex]B = Base\ Charge + 0 * m[/tex] i.e. Rate is 0
[tex]B = 30+ 0 * m[/tex]
[tex]B = 30[/tex]
So:
[tex]Initial = 30[/tex] and [tex]Rate = 0[/tex]
Solving (b): When their charge wil be equal.
To do this, we set:
[tex]A = B[/tex]
[tex]20 + 5m = 30[/tex]
[tex]5m = 30- 20[/tex]
[tex]5m = 10[/tex]
[tex]m = 2[/tex]
At 2 miles, their charges will be equal
{{6- '6) '(+ '9) '(l '.) '(6 '9-) (7-'9-)}
Answers
don't know
Mark as brainlist mate
because making my answer as brainlist you would not lose anything।।।।।।।।।।
And about your answer do it Yourself because in paper we won't be helping you for your problem।।।।।।।।।so do it Yourself your knowledge will be gain।।।।।।।।।।Len has 3 strips of construction paper. Each strip is the same size and a different color-red, yellow, and pink. He tapes the strips together to make a rectangle. Then Len divides the rectangle into sixths so that each sixth is one color. What fraction other than 1/3 names the part of the rectangle that is red?
Answers
Answer:
2/6
Step-by-step explanation:
Each of the rectangle strips are taped together to form a rectangle. Therefore 1 of the third of the rectangle would be red, this means that 1/3 of the rectangle would be red color. The rectangle is then divide into sixths, this can be achieved by dividing each of the taped strip into 2.
Therefore 2 of the sixths rectangle would be red in color, Hence the fraction of the rectangle that would be red is given as 2/6
Arrange the following in numerical order lowest first:
-0.05
-0.13
-2.7
1.9
1.91
21.2
21.025
Answers
Answer:
-2.7, - 0.13, - 0.05, 1.9, 1.91, 21.025, 21.2
Answer:
-0.05,-0.13 ,-2.7 ,1.9 ,1.91, 21.025, 21.2
hope it helps you
please mark me as brainlist
Find the equation of a line that is vertical through (1,3)
Answers
Answer:
x=1
Step-by-step explanation:
Mira's six test scores are given. What is the
positive difference between the mean of the
scores and the median of the scores?
86, 72, 92, 62, 99, 93
Answers
Answer:
First, we need to find the mean and median of the scores.
Mean:
86+72+92+62+99+93=504
There are 6 test scores, so:
504 ÷ 6 = 84
Median:
62, 72, 86, 92, 93, 99
86 + 92 = 172
172 ÷ 2 = 86
The answer would be:
Mean: 84
Median: 86
10-4+9/3=9 true or false
Answers
Answer:
False
Step-by-step explanation:
Because 10 - 4 = -6
Not 3
Answer:
true
Step-by-step explanation:
first you do the division
10-4+9/3
10-4+3
then you do addition or subtraction in left-to-right order
6+3
9
so it's true
Find a 15
–7, 2, 11, 20, ...
