Answer:
Option A
Step-by-step explanation:
Option A
f(x) = -3(x + 7)(x + 4),
Remember that to solve for the x-intercepts we equate y to 0,
-3(x + 7)(x + 4) = 0
Using the zero product property,
x + 7 = 0, x + 4 = 0
x = - 7, x = -4
x -intercepts: (- 7, 0) & (- 4, 0)
Hence proved.
Answer:
3.63 * 10^19
Step-by-step explanation:
Given that :
Number of choices to select = 12
Category available :
Blues - 14
Country - 25
Disco - 21
To select an equal number of song for each category ; then 4 songs will be selected from each :
Using combination :
(14C4 * 25C4 * 21C4)
Since the order matters for the 12 selected songs ; it thus requires 12 permutation
Thus ;
(14C4 * 25C4 * 21C4) * 12!
nCr = n! / (n-r)!r!
Using calculator;
14C4 = 1001 ;
25C4 = 12650
21C4 = 5985
12! = 479001600
Hence,
(1001 * 12650 * 5985) * 479001600
= 36301596217286400000
=3.63 * 10^19
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
In the right triangle ABC
Applying the Pythagorean Theorem
substitute the given values
solve for BC
From the prime factorization of 49, we get 7*7. From 196, we get <span>2*2*7*7. From 343, we get 7*7*7. The greatest "overlap" or common factors are 7*7, or 49.</span>
Thus, the greatest common factor is 49.
Try this solution (see the attachment, three basic steps, the answer is marked by red colour).
