Answer:
x = 8 or x = -1 is the answer
Step-by-step explanation:
3x² - 21x -24
divide with 3
x² - 7x - 8
Factorizing,
x² + x - 8x - 8
x(x + 1) -8 (x + 1)
(x - 8) (x + 1)
x = 8,-1
Answer:
The prime factorization of 200 using exponential notation is 
.
Step-by-step explanation:
First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.
1) 
(Even number)
2) 
(Even number)
3) 
(Even number)
4) 
(Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
5) 
(Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
Now, we construct the prime factorization using exponential notation:
The prime factorization of 200 using exponential notation is .
Answer: 32
Explanation:
The number of leaves in a tree diagram for probabilities is equal to the number of possible outcomes.
Tossing a coin 5 times leads to these results:
First,second, third and fourth tossing are the nodes; and fifth tossing has the leaves.
Root → 2 nodes → 2² nodes → 2³ nodes → 2⁴ → 2⁵ leaves = 32
Those 32 leaves is this sample space:
head-head-head-head-head
head-head-head-head-tail
head-head-head-tail-head
head-head-head-tail-tail
head-head-tail-head-head
head-head-tail-head-tail
head-head-tail-tail-head
head-head-tail-tail-tail
head-tail-head-head-head
head-tail-head-head-tail
head-tail-head-tail-head
head-tail-head-tail-tail
.......... (continue)
And so on until you have included all the possibilities, ending with tail-tail-tail-tail-tail. Those will be 32 outcomes.
Time = distance / speed
time = 395.1 / 79
time = 5.0 hrs
