Determine the rate of change for the equation. 6y = 8x - 40

B refers to the base of the triangle,
and a signifies the length of the two identical sides.

The measurement labeled as 'a' is larger than 'b' since those equal sides are longer than the base. Given "one of the longer sides measures 6.3 cm," we assign a = 6.3.

Substitute 6.3 for each 'a' in the equation and solve for b:
2a + b = 15.7
2(6.3) + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6 (applying subtraction property of equality)
b = 3.1

(5x - 3y)(25x² + 15xy + 9y²) Step-by-step explanation: 125x³ - 27y³ is a difference of cubes and can be factored as a³ - b³ = (a - b)(a² + ab + b²). Given 125x³ - 27y³ = (5x)³ - (3y)³, it can be written as (5x - 3y)((5x)² + (5x)(3y) + (3y)²) = (5x - 3y)(25x² + 15xy + 9y²).

Response:

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Response:

Monomial

Trinomial

Monomial

Trinomial

Binomial

Explanation in detail:

A monomial consists of one distinct term

A binomial consists of two distinct terms

A trinomial consists of three distinct terms

In the first example, the -x^2 and +x^2 cancel each other, and since 2x and 4x are similar terms, combining gives you 6x, which is a monomial.

In the second example, after adding +3 and -2, you get three distinct terms that can't be combined, thus it's a trinomial

In the third example, all variables cancel out, resulting in just one term, 3, making it a monomial

In the fourth one, after combining like terms, you end up with:

x^3 + 3x^2 + 7x

This makes it a trinomial

In the last example, the 6x and -6x cancel, leaving two terms, qualifying it as a binomial.

Answer:

x≥(500-87)/40

Step-by-step explanation:

You require 500 lbs and you're starting with 87, so you must acquire at least 413 bags. Since they are sold in 40 pound bags, you divide by 40. You must round up to ensure you have enough bags to meet the 500 lbs needed.