Find the coefficient of x2 in (3x2 – 5) (4 + 4x2), expand using algebraic expressions and answer
1 answer:
Answer:
- 8
Step-by-step explanation:
Given the expression
(3x² - 5)(4 + 4x²)
Each term from the second factor is multiplied by every term in the first factor, meaning
3x²(4 + 4x²) - 5(4 + 4x²) ← distribute both parentheses
= 12x² + 12 - 20 - 20x² ← combine like terms
= 12 - 8x² - 20
The coefficient for the x² term is - 8
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ESPERO QUE ESTO TE SEA ÚTIL
Answer:
The accurate representations are:
- 6x + 15 < 10 - 5x ⇒ 3rd option
A circle is open at 5 with a bold line extending right from 5 ⇒ 4th option (see diagram)
Step-by-step explanation:
Given the inequality is -3(2x - 5) < 5(2 - x)
First, simplify both sides:
∵ -3(2x - 5) = -3(2x) + -3(-5)
Remember that (-)(-) results in (+)
Thus, -3(2x - 5) = - 6x + 15
∵ 5(2 - x) = 5(2) + 5(-x)
Remember that (+)(-) results in (-)
Then, 5(2 - x) = 10 - 5x
Now we have: - 6x + 15 < 10 - 5x
Subtract 15 from both sides
So: - 6x < -5 - 5x
Add 5x to both sides
Thus, - x < - 5
Note that since the coefficient of x is negative, we reverse the inequality sign when dividing both sides by it
∵ The coefficient of x is -1
Therefore, dividing both sides by -1 gives us x > 5
The accurate representations are:
- 6x + 15 < 10 - 5x ⇒ 3rd option
A circle is open at 5 with a bold line extending right from 5 ⇒ 4th option (see diagram)
Answer:
Steven is mistaken.
Step-by-step explanation:
Steven has
- 9 unique shirts
- 5 unique hats
- 4 unique scarves.
He selects only two out of the three types of clothing. The combinations can be calculated as
-
options to select a shirt and a hat;
options to select a hat and a scarf;
options to select a shirt and a scarf.
In total, there are
different methods to choose just two out of the three clothing items.
As a result, Steven is not correct.