Factor the following:
12 x^4 - 42 x^3 - 90 x^2
Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)
Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)
Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)
Answer:
12/13
Step-by-step explanation:
There are 52 cards in the deck
4 are aces
That leaves 52-4 or 48 that are not aces
P(not an aces) = cards that are not aces / total
= 48/52
=12/13
It costs $122.4 dollars before the increase.
<h3>
How to calculate percentage of a number. Use the percentage formula: P% * X = Y</h3>
- Convert the problem to an equation using the percentage formula: P% * X = Y.
- P is 17%, X is 7.20, so the equation is 17% * 7.20 = Y.
- Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
Therefore, It costs $122.4 dollars before the increase.
Learn more about Finding the Percentage here:
brainly.com/question/24862040
Answer:
C. he did not multiply the numerator by 2
Step-by-step explanation:
To find an equivlent fraction, you must multiply the numerator and denominator by the same thing.
