The product of sum and difference of two binomial like (x+y) and (x-y) is x² - y²
The first number = x
The second number = y
The sum of the two numbers = x + y
The difference of the two numbers = x - y
The product of the sum and the difference = (x+y)(x -y)
Note that the product of the sum and the difference = (x + y)(x - y)
This can be expanded by distributivity as shown below:
(x + y)(x - y) = x² + xy - xy - y²
(x + y)(x - y) = x² - y²
This is the difference of two squares.
Therefore, the product of sum and difference of two binomial like (x+y) and (x-y) is x² - y²
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What is the value of x in the equation below?
1.5 times open paren x plus 4 close paren minus 3 equals 4.5 times open paren x minus 2 close paren
Group of answer choices
x equals 3
x equals 4
x equals 9
x equals 5
10-ounce package of cashews costs $8.11, and a 16-ounce package of cashews costs $12.
a. What is the cost per ounce for the 10-ounce package of cashews?
b. What is the cost per ounce for the 16-ounce package of cashews?
c. Which package is the better buy?
Answer:
A. 81 cents per ounce
B. 75 cents per ounce
C. The 16 ounce package would be a better buy.
Step-by-step explanation:
A. 8.11/10 = 0.811
B. 12/16 = 0.75
C. Each ounce is cheaper in the 16 ounce package.
Each year a certain amount of money is deposited in an account which pays an annual interest rate of so that at the end of each year the balance in the account is multiplied by a growth factor of x = 1 + r. $300 is deposited at the start of the first year, an additional $500 is deposited at the start of the next year, and $400 at the start of the following year.
A) Write an expression for the value of the account at the end of three years in terms of the growth factor .
B) What is the amount (to the nearest cent) in the account at the end of three years if the interest rate is 2%?
Answer: 5%
Step-by-step explanation:
Whats the common difference between 34,31,28,25
Use a factor tree to find the GCF of 32 and 80.
Answer:
GCF of 32 and 80 is 16
Step-by-step explanation:
factors of 32 = 1, 2, 4, 8, 16, 32
factors of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Can someone help me do this
Answer:
5x +2 = 87
So X = 17
3y = 42
So Y = 14
If I roll 2 dice, what is the
probability that their total is a
prime number?
Answer:
The logic is there are six sides to each die, so for each number on one die you can pair with six different numbers on the other die. Therefore, the probability of rolling a prime number on two dice is 15/36, which reduces to 5/12
answer to get free poin
Answer:
You dont even have a question
Step-by-step explanation:
w + 2x + 1 = x – 2w +26
Actividades de Desarrollo Actividad 1. En el siguiente ejercicio identificarás los elementos de los términos algebraicos (signo, coeficiente, literal y exponente) en los espacios correspondientes. Considera que, si no existe un signo explícitamente, lo deberás indicar como positivo (+), de igual forma, de no ser visible un exponente, su valor será de uno. a) -21x3w? Signo: - Coeficiente: 21 Literales: X, W Exponentes: 3.7 b)-755 Signo: Coeficiente: Literales: Exponentes: Literales: c) 8a2b5 Coeficiente: Exponentes: Signo: Literales: Exponentes: Coeficiente: Signo: Literales: Exponentes: Coeficiente:_ Signo: Literales: Exponentes: Coeficiente: Signo: d) m11 e) xyws ni ayb e) xyws e) xyws Literales: Exponentes: Coeficiente: Signo: Signo: Exponentes: Literales: 28 Coeficiente: ACADEMIA NACIONAL DE MATEMATICAS DGETI
Una expresión algebraica consta de una variable, coeficiente, exponente y signos.
Una variable es cualquier término desconocido y representado por el alfabeto inglés, como a, b, c, etc.
Un coeficiente es un número que se multiplica por la variable, como 2, 17, 39, etc.
Un exponente da la potencia del término que indica cuántas veces se repite.
a) -21x³w⁷
Firmar: -
Coeficiente: 21
Literales: X, W
Exponentes: 3.7
b) -755
Signo: negativo -
Coeficiente: 755
Literales: nulo
Exponentes: 1
c) 8a²b⁵
Signo: Positivo +
Coeficiente: 8
Literales: a, b
Exponentes: 2,5
d) m11
Signo: Positivo +
Coeficiente: 11
Literales: m
Exponentes: 1
e) xyws
Signo: positivo
Coeficiente: 1
Literales: x, y, w, s
English
An algebraic expression consists of a variable , co efficient, exponent and signs.
A variable is any term that is unknown and represented by the English alphabet such as a, b,c and so on.
A co efficient is a number that is multiplied by the variable such as 2, 17 ,39 etc.
An exponent gives the power of the term indicating how many times it is repeated.
a) -21x³w⁷
Sign: -
Coefficient: 21
Literals: X, W
Exponents: 3.7
b) -755
Sign: negative -
Coefficient: 755
Literals: nil
Exponents: 1
c) 8a²b⁵
Sign: Positive +
Coefficient: 8
Literals: a,b
Exponents: 2,5
: d) m11
Sign: Positive+
Coefficient: 11
Literals: m
Exponents: 1
e) xyws
Sign: Positive
Coefficient: 1
Literals: x,y,w,s
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Which statement best explains the relationship
between lines AB and CD?
O They are parallel because their slopes are equal.
• They are parallel because their slopes are negative
reciprocals.
•
They are not parallel because their slopes are not
equal.
•
They are not parallel because their slopes are
negative reciprocals.
Answer:
The answer is A
Step-by-step explanation:
Hope it helps
Choose the correct description of each system of equations.
3x + y = 3
x - 2y = 4
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
Given the system of equation expressed as:
3x + y = 3
x - 2y = 4
Solve simultaneosly;
3x + y = 3 ............. 1 * 1
x - 2y = 4 ...............2 * 3
_________________________
3x + y = 3
3x - 6y = 12
Subtract
y-(6y) = 3 - 12
7y = -9
y = -9/7
Substitute y = -9/7 into the equation to get x
x - 2y = 4
x - 2(-9/7) = 4
x + 18/7 = 4
x = 4 - 18/7
x = 3/7
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
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what is the factors of 245
Answer:
Factors of 245: 1, 5, 7, 35, 49 and 245.
Answer:
the factor of 245 is 1 5 7 35 49 and 245
The perimeter of a triangle is 17x−5 units. One side is 3x+5 units and another is 8x−3 units. How many units long is the third side?
9514 1404 393
Answer:
6x -7 units
Step-by-step explanation:
Let c represent the length of the third side. The perimeter is the sum of the three side lengths.
P = a + b + c
(17x -5) = (3x +5) +(8x -3) +c
17x -5 = 11x +2 + c . . . . . . . . . . . . collect terms
6x -7 = c . . . . . . . . . . . . . . subtract 11x+2
The third side is 6x -7 units.
The zeros of a quadratic function are located at x=−8 and x=4.
which expression represents a function
a- (x−8)(x−4)
b- (x−8)(x+4)
c- (x+8)(x+4)
d- (x+8)(x−4)
Answer:
d- (x+8)(x−4)
Step-by-step explanation:
Hi there!
Factored form of a quadratic equation: [tex]y=(x-r)(x-s)[/tex] where r and s are the zeros of the quadratic
We're given that the zeros are -8 and 4. Plug these into the factored form equation:
[tex]y=(x-(-8))(x-4)\\y=(x+8)(x-4)[/tex]
I hope this helps!
Perform the indicated operations. Reduce your answer to it's lowest term.
Step-by-step explanation:
15 1/2+ 3/4=16 1/4
to add fractions what you want to do is this:
so you want them as the same denominator, a way to do this is multiply one denominator with another (ex, 2 in 1/2. you want to multiply 4 with 2 which equals 8 and 2 with 3. this together equals 6/8. do the same thing with 1/2. 1×4=4 2×4=8. 4/8)
so, whats 4/8 and 6/8? just adding it like usual, it'll be 10/8, or 1 2/8.
15+1 2/8=16 2/8
16 2/8 simplified (just divide by 2 until you make it to where you cant anymore)
16 1/4
do the same with the other adding ones.
23 1/6+8 3/4=23 11/12
15 2/5+ 2 2/6= 17 11/15
now, do the same way as showed before but except subtract.
9/10 - 3/5 = 15/50
7 3/4 - 5 5/8 = 1/8
20 5/8= 1/8
hello,i need help with this question:
The sum of the measures of angle M and angle R is 180⁰.
• The measure of angle M is (5x+10)⁰.
• The measure of angle R is 55⁰.
What is the value of x?
☺
Answer:
x = 23
Step-by-step explanation:
If the sum of angles is equal to 180 then we can write and equation to find the value of x
5x + 10 + 55 = 180 add like terms
5x + 65 = 180 subtract 65 from both sides
5x = 115 divide both sides by 5
x = 23
In the auditorium there are 13 red chairs and 37 blue chairs. What is the ratio of the number
of blue chairs to the number of red chairs?
Find all real square roots of - 144
Answer:
The square roots of 144 are 12 and -12 which are rational numbers.
Step-by-step explanation:
What is the rounded number when 4 872 is rounded to the nearest hundred?
answerrrrrrrrrrrrrrrr plzzzzzzzzz
Answer:
x=7
Step-by-step explanation:
7+8 = 15
15+75 = 90
ABC is a 90º angle since AB is parallel to BC
What's the gradient of the blue line?
What is 2 1/2 divided by 2 2/3
Answer:
15/16
Decimal form 0.9375
Step-by-step explanation:
A company spent 20% of its annual budget developing a new machine. What fraction of the company’s budget was spent developing the new machine?
A. 1/20
B. 5/15
C. 1/5
D. 3/19
Answer:
c
Step-by-step explanation:
20/100 can be simplified to 2/10, which can be simplified further to 1/5
Please help I have 20 minutes to turn this in
Answer:(-6,30)
Step-by-step explanation:
x=-6
y=30
Answer: (-6,30)
Step-by-step explanation:
-5x=-x+24
+x=+x
-4x=24
÷-4=÷-4
X=-6
Y=-5x
Y=-5(-6)
Y=30
(-6,30)
HELPPPPPP PLEASEEEEEE FASTTTT
Which of the following correctly represents the set of numbers using interval notation?
Answer: i think it is a
Step-by-step explanation:
URGENT -
In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student chosen randomly from the class has an A?
Female Male
Has an A 2 5
Does not have an A 3 9
Answer:
The chances are 36.8% that a random student has an A
Step-by-step explanation:
There are 19 total students and 7 of them have an A. Divide 7 by 19 and convert the decimal value into a percentage.
Which of the following represents the function graphed? F(x)=1/2 x f(x)=x f(x)= x+2
no links please Angle A measures 50 degrees. If angle A is rotated 45 degrees, what is the measure of angle A'?
Answer:
95? Sorry if I'm wrong.... :)
Step-by-step explanation: