Answer:
B
Step-by-step explanation:
g(x) - h(x)
= 5x² - 10x + 9 - ( - 3x³ + 5x - 6) ← distribute parenthesis by - 1
= 5x² - 10x + 9 + 3x³ - 5x + 6 ← collect like terms
= 3x³ + 5x² - 15x + 15 → B
So if they'll hire 40% women, and they're hiring 10 people, this means that they'll hire 4 women. And the rest of the people are all men, or 6 of them.
So basically, you can think of this like a tree, taking the men's side first, with 15 possible hires in the beginning, and then 14 more stemming off of that, and then 13 more stemming of those, etc.
So basically it would be:
15 * 14 * 13 * 12 * 11 * 10
Because there are four spots for men, and there were 15 men, and after every hire, there will be one less applicant, because there would've been one hire instead.
So;
15 * 14 * 13 * 12 * 11 * 10 = 3603600
And then women just do the same thing.
10 * 9 * 8 * 7 = 5040
Then just multiply those together as well.
18162144000 is your final answer.
Answer:
7/21 is equivalent to 5/15
Step-by-step explanation:
Answer:
The only option 3 is correct
Step-by-step explanation:
See the given diagram.
1. ∠ D = ∠ B {Since AB ║ DE and DB is transverse line. So, they are alternate angles.}
So, ∠ D = 43° ≠ 28°
2. Now, ∠ A = ∠ CED {Again they are alternate angles}
⇒ ∠ A = ∠ CED = 180° - ∠ CEF = 180° - 152° = 28° ≠ 43°.
3. Again, ∠ ACD = 180° - ∠ ACB = ∠ A + ∠ B = 28° + 43° = 71°.
4. ∠ BCE = ∠ ACD {Vertically opposite angles}
⇒ ∠ BCE = 71° ≠ 109°
Therefore, the only option 3 is correct. (Answer)
