Answer:
(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35
The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.
Step-by-step explanation:
Product means multiplication
Product of 2x - 5 and 3x^2 + 5x - 7
(2x - 5 ) (3x^2 + 5x - 7)
= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35
Collect like terms
= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35
= 6x^3 - 5x^2 - 39x - 35
Product of 5x - 2 and 3x^2 + 5x - 7
(5x - 2) (3x^2 + 5x - 7)
= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14
Collect like terms
= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14
= 15x^3 + 19x^2 - 45x + 14
The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.
They both consist of different variables in their multiplier
The matching of definitions and terms are done below.
- Some number increased by two ⇒ b + 2
- A variable decreased by two ⇒ x – 2
- Product of an unknown value and two ⇒ 2z
- Quotient of some number and two ⇒ a ÷ 2
- An unknown value squared ⇒ y²
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Match the verbal expression (term) with its algebraic expression (definition).
Some number increased by two ⇒ b + 2
A variable decreased by two ⇒ x – 2
Product of an unknown value and two ⇒ 2z
Quotient of some number and two ⇒ a ÷ 2
An unknown value squared ⇒ y²
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ1
Product is multiplication.
Let the number = x
3 *( X+7) = -36
Use distributive property:
3x +21 = -36
Subtract 21 from each side:
3x = -57
Divide both sides by 3:
x = -57 /3
x = -19
Check: 3 * (-19 +7) = 3 * -12 = -36
The number is -19
Answer:
<h2>See the explanation.</h2>
Step-by-step explanation:
It is told that, 330 students that are surveyed, are 9th graders.
Hence, 0.55 represents 330 students, that is 1 represents 
= 600 students.
The number of 9th grade students whose favorite elective is music is represented by 0.18.
1 ≡ 600
0.18 ≡
= 108.
The percentage of students whose favorite elective is home economics and are also in 10th grade is 
= 6%.
