expanding polynomial functions using binomial theorem or pascals triangle
Answer:
The formula for Pascal's Triangle comes from a relationship that you yourself might be able to see in the coefficients below.
(x + y)0 (x + y)1 (x + y)² (x + y)3 (x + y)41 x + y x² + 2xy + y² x3 + 3x2Y + 3xY2 + y3 x4 + 4x3Y + 6x2Y2 + 4XY3 + Y4
HOPE THIS HELPS!
consider the sequence -5,1,7,13,19,25 write a recursive definition and a general formula for this sequence
Answer:
Formula: n+6
In mathematics, a recursive definition is used to define the elements in a set in terms of other elements in the set.
factors of 4x^3-14x^2+12x
Step-by-step explanation:
4x³ - 14x² + 12x
= 2x[2x² - 7x + 6]
= 2x[(2x-3)(x-2)]
= 2x(2x-3)(x-2)
To which place value is the number rounded?
8.293 to 8.29
a
ones
b
tenths
c
hundredths
d
thousandths
Answer:
c
Step-by-step explanation: 3 is not bigger than 9 so it can't bump it up so it stays like that.
HELPPPP I MARK BRAINLIEST TO CORRECT ANSWERS
Answer:
I think B option is correct ..I m 95% sure
Answer:i
the correct option is A
First we have to convert the 3 whole 8 /33 into a fraction so the method to do that is 33*3 =99 and then 99 +8 = 107 .The denominator will remain the same so we get 107 /33.Now by dividing 107 by 33 we get 3.242424
Chrysanthemum is serving iced tea and lemonade at a picnic. She has only 80 glasses in which to
serve the drinks. If x represents the number of glasses of iced tea and y represents the number of
glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?
Answer:
80=x+y
Step-by-step explanation:
The maximum amount of glasses is 80; the solution cannot be more than 80; the number of glasses of lemonade and of iced tea cannot be more than 80 total.
Convert this rate to feet per second. Round your answer to nearest tenth the average speed of a car on a stretch of the interstate is 70 miles per hour.
Answer:
102.66666667 feet/ seconds
Step-by-step explanation:
From the question, we are told to convert 70 miles per hour to feet per second.
Step 1
1 mile = 5280 feet
70 miles = x feet
Cross Multiply
1 mile × x feet = 5280 feet × 70 miles
x feet = 5280 feet × 70 miles
x feet = 369600 feet
Hence, 70 miles = 369600 feet
Step 2
We convert 369600 feet/ hour to feet per second
60 seconds = 1 minute
60 minutes = 1 hour
1 hour = 60 × 60
= 3600 seconds.
369600 feet/ 1 hour = 369600 feet/3600 seconds
= 102.66666667 feet/ seconds
Therefore, 70 miles per hour is equivalent to 102.66666667 feet/ seconds
x + 3y = 25
2x + y = 15
Answer: x=4 and y=7
Step-by-step explanation: x+3y=25
x+3y+−3y=25+−3y(Add -3y to both sides)
x=−3y+25
If m = 3 and b = 6, what is the correct slope intercept equation?
a. y = 3 - 6.
b. y = 3x - 6.
c. y = 3x + 6.
d. y = 6x + 3.
100 is how many more times than 10
Answer:
10 times greater, because 10x10=100
Step-by-step explanation:
What is 9 to the power of 3
Answer:
729
Step-by-step explanation:
Go on a calculator and do 9^3 and thats your answer!
Answer: 729
Step-by-step explanation: 9 x 9 = 81 So 81 x 9 = 729
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
WILL MARK BRAINLIEST
If a + b = 10, and ab = 16, then find the value of the following: i .a2 + b2 ii. a3 – b3
Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
F(x)=(x-4)^2
evaluate -2
Answer:
does that mean x=-2? because if so then:
F(x)=36
Step-by-step explanation:
(-2-4)^2
-6^2
36
F(x)=36
sin
sin 70°/cos20°+cosec36°/sec54°-2cos43°cosec47°
HELP PLEASS FAST
Answer:
-2.59x10^15
Step-by-step explanation:
Suppose A and B are points. How many distinct lines contain both A and B?
оо
1
2
3
infinitely many
Answer:
The correct option is;
1
Step-by-step explanation:
A line in geometry is an array of points that lay on the path of a ray and extends along the ray path in both directions infinitely, while a point in geometry marks a location
Therefore, given that the points A and B are on the same line, and are therefore on the same ray that gives the direction of the line, the number of distinct lines that can contain the both A and B, given that the original line extends to infinity in both direction is 1.
The end points of cd are given.find the coordinates of the midpoint M. C(-4,7) and D(0,-3)
Answer:
M=(-2,2)
Step-by-step explanation:
Xm= -4 + 0/2 --> -4/2
Ym= 7 + -3/2 --> 4/2
Change the following rate into a unit rate: $12/6 burgers.
Answer:
$2/1 burger
Step-by-step explanation:
You have to divide the number that can divide into both the most which means twelve divided by 6 is two and 6 divided by 6 is 1 which means $2/1
A scientist claims that Fabric A is better able to resist fire than Fabric B.
Which option describes an experiment that will produce evidence that will
support or refute her claim?
O A. Make detailed measurements of each type of fabric to determine
the thickness of their fibers.
B. Measure how long it takes for a specific amount of Fabric A to
burn up completely.
O C. Hold each type of fabric over a candle flame and time w long it
takes for the fabric to start to burn.
O D. Combine Fabric A and Fabric B and measure the temperature at
which they start to burn.
The answer is C.
The question is asking you to find an option that "supports" or "refutes" her claim. In option C, you have to hold the fabrics above a candle to see how long it will take to burn. This way of proving her hypothesis can either go good or bad (support that Fabric A resists better or refute her claim and Fabric B resists fire better).
Best of Luck!
Answer:
A scientist claims that Fabric A is better able to resist fire than Fabric B.
option describes an experiment that will produce evidence that will support or refute her claim is:
C. Hold each type of fabric over a candle flame and time w long it.
Red blood cells need iron. They store iron and typically contain more iron than the fluid around them does. Which
action would show the blood cells doing active transport?
O pushing iron out
O bringing iron in
O swelling
O shrinking
Answer:shrinking
Step-by-step explanation:
Answer:
bringing iron in
Step-by-step explanation:
hoped this helped let me know if it did
During the summer months the water level in Marthas pool decreases by about 1/2 inch each day due to evaporation which equation shows the approximate total change in inches to the water level in a pool after 30 summer days
Answer:
Option B (second one to the right)
Step-by-step explanation:
Solving this equation:
-1/2(30)= -15
-1/2 x 30 = -15
(2 days = 1 inch lost)
Factor the following polynomial completely. x²n - y²n
Answer:
(n)*(x+y)(x-y)
Step-by-step explanation:
First of all, you take the n out, and then you use the formula of x²- y² and it will equal to (x+y)(x-y).
Answer:
n(x+y)(x−y)
Step-by-step explanation:
1. To factor this equation, first, you can see that both the x^2 and the y^2 have an n next to them. So, you can take out the n. You get this: n(x^2-y^2)
2. After you take the n out, you can also factor the (x^2-y^2) since they are both squared (to the second power). To do this, you simply split the two apart and make sure to include the negative. You get this, the final answer:
n(x+y)(x-y)
3. You can check it by multiplying out the answer, and once multiplied out, you get the original expression of x^2n-y^2n.
Hope this helped! Feel free to ask any questions :)
5 = -2( x– 1)
5= -2x+2
5 = -2 (x – 1) (remove the parantheses)
5 = -2x + 2 (move the terms)
2x = 2 - 5 (calculate)
2x = -3 (divide both sides)
x= -3/2
5= -2x + 2 (move the terms)
2x = 2 - 5 (calculate)
2x = -3 (divide both sides)
x= -3/2
(-2)(8)(-6) divided-4
Answer: -24
Step-by-step explanation:
-2 * 8 = -16
-16 * -6 = 96
Answer:
24 Please give brainliest
Step-by-step explanation:
-2 x 8
-16 x -6
96/4
24
-6 - (-6) +7+ (-4) + (-1)
What’s the answer of this?
13 pts !
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
i just did the question on my test!
Find the coordinates of the midpoint of XY for X(-2,3) and T(-8,-9)
Answer:
Midpoint of XY = ( - 5, - 3)
Step-by-step explanation:
[tex]Midpoint \: of \: XY \\ = \bigg( \frac{ - 2 + ( - 8)}{2}, \: \frac{3 + ( - 9)}{2} \bigg) \\ = \bigg( \frac{ - 2 - 8}{2}, \: \frac{3 - 9}{2} \bigg)\\ = \bigg( \frac{ - 10}{2}, \: \frac{ - 6}{2} \bigg)\\ Midpoint \: of \: XY = ( - 5, \: - 3)[/tex]
Order these rational numbers from least to greatest: -1 8/9, -1.68, , -1.98, -0.9
Answer:
Least to Greatest
-1.98, -0.9, -1 [tex]\frac{8}{9}[/tex], -1.68
Step-by-step explanation:
In the case of negative numbers the "larger" the number is, the least it is. For the fraction I just tossed 8/9 into my calculator to get the decimal version that way I could put it in order accuratly.
A letter in the word UNIVERSITY is chosen. What is the theoretical probability of choosing an I? *
Answer:
There is a 1 in 5 chance that the letter will be I.
Step-by-step explanation:
There are ten letters in the word and 2 are I's. 2/10 simplifies to 1/5.
Answer:
2/10 or 20%
Step-by-step explanation:
if you were to pick at random
out of all i would have a 20 percent chance to be chosen
Which of the following are solutions to |x-1|= 5x + 2 ? Check all that apply.
Answer:
x = -1/6, x = -0.16
Step-by-step explanation:
There are 60 inches in 5 feet. How many inches are in 8 feet?
63 inches
72 inches
96 inches
80 inches
Answer:
96
Step-by-step explanation:
multiply by 12 because thats how many inches are in a foot
There are 96 inches in 8 feet.
feet to inches:1 foot = 12 inchesThere are 60 inches in 5 feet. Therefore,
5 feet = 60 inches
8 feet = ?
cross multiply
length in inches = 60 × 8 / 5
length in inches = 480 / 5
length in inches = 96 inches.
Therefore, there are 96 inches in 8 feet.
learn more on length here: https://brainly.com/question/23044923?referrer=searchResults
U is the midpoint of TV. If TU = x - 6 and TV = 3x – 23, what is TU?
Answer:
TU = 5
Step-by-step explanation:
Since, U is the midpoint of TV.
[tex]\therefore TV = 2 \times TU \\ 3x - 23 = 2(x - 6) \\ 3x - 23 = 2x - 12 \\ 3x - 2x = 23 - 12 \\ x = 11 \\ \\ TU = x - 6 \\ TU = 11 - 6 \\ \huge \red { \boxed{TU = 5}}[/tex]