Destiny designs necklaces.

podryga [215]

Answer:

A. III only

Step-by-step explanation:

In mathematics, an identity is one of the characteristics of algebraic expressions.

Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.

Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.

In the above question, we are given 3 Options.

I) 3(5 + 2x) = 15 + 6x

II) y = x + 3

III) (x² - y²) = (x + y) (x - y)

Option I) 3(5 + 2x) = 15 + 6x

Is showing distributive property in mathematics.

Distributive property is :

a(b + c) = ab + ac

Option I is not an identity , therefore it is wrong.

Option II) y = x + 3 is just an algebraic expression.

Only Option III is an identity. This is because it follows the rule of

(a² - b²) = (a + b) (a - b)

We can prove and confirm this be solving the algebraic expression

(x + y) (x - y)

We expand the bracket

x² - xy +xy - y²

x² - y²

Therefore, option A is the correct option.

6 0

3 years ago

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A teacher with 10 students has 30 lesson times available. She will teach exactly one of her students during each lesson time. Ho

natka813 [3]

There are $\frac{30!}{(3!)^{10} }$ ways for the teacher to decide which student she will teach during each lesson time if she must teach each student exactly 3 times. Here, "!" represents the factorial.

A number's factorial is the result of multiplying the integer by each natural number below it. Factorial can be symbolized by the letter "!". Thus, n factorial is denoted by n! and is the result of the first n natural numbers.

A whole number's "n" factororial is the sum of that number and each whole number up to one.

When a question asks you to determine how many different ways you can arrange or order a given number of items, you use a factorial.

Learn more about factorials here:

brainly.com/question/25997932

#SPJ1

5 0

2 years ago

Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and

Alchen [17]

Answer: i. There are 140 students willing to pay $20.

ii. There are 200 staff members willing to pay $35.

iii. There are 100 faculty members willing to pay $50.

Step-by-step explanation: Suppose there are three types of consumers who attend concerts at Marshall university's performing arts center: students, staff, and faculty. Each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. There is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs.

For each concert:

A) If the performing arts center can charge only one price, what price should it charge? What are profits at this price? B) If the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits?

C) If the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?

8 0

3 years ago

Need help with two math questions please asap! Thank you!

IrinaK [193]

The answers are:
x
X^2 -5x +6

8 0

3 years ago

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What binomial must he added to (3r+14) to make the sum of the two polynomials equal (8r-6)

rodikova [14]

Answer:

(5r - 20)

Step-by-step explanation:

(3r + 14) + (Ar + B) = (8r - 6)

B = -6 - 14 = -20

A = 8 - 3 = 5

4 0

3 years ago