Based on the given parameters, bhe true statements are: the expression has four terms, and the term -40/y is a ratio.
<h3>How to determine the true statements?</h3>
The expression is given as:
6x^3 - 8x^2 - 40/y + 21
The above expression has four terms, and the terms are:
6x^3, - 8x^2,- 40/y and 21
Also, the term -40/y is a ratio
This is so because it is a quotient of two numbers
Hence, the true statements are: the expression has four terms, and the term -40/y is a ratio, based on the given parameters
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Answer:
see explanation
Step-by-step explanation:
Given
x² - 3x - 40 = 0
Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)
The factors are - 8 and + 5, since
- 8 × 5 = - 40 and - 8 + 5 = - 3, thus
(x - 8)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x + 5 = 0 ⇒ x = 5
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Given
4x² - 81 = 0 ← this is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
4x² - 81
=(2x)² - 9²
= (2x + 9)(2x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = - 
2x - 9 = 0 ⇒ 2x = 9 ⇒ x =
Answer:
105
Step-by-step explanation:
Area of a trapezoid is given by the formula:
A = (a+b)÷2×h
(where h is the vertical height, and a and b are the parallel lines)
Substituting values given gives us:
A = (6+15)÷2×10
A = 21÷2×10
A = 10.5×10
A = 105
Units will be m² as this is area.
Answer:
Step-by-step explanation:
120*15%= 18 off
120-18= $102.00 new price
