Point slope is y-y1= m(x-x1) where m is slope
Plug the values in:
y-(-8)=3(x-8)
Simplify:
y+8=3(x-8)
Answer: 69
Step-by-step explanation: Percent multiplied by the total number of students: 8/100 x 75 = 600/100. (remember it is 8/100 because it’s 8%.)
Then you simplify which will then get you 6.
Afterwards you need to subtract those 6 students from the group of 75. 75-6=69. So, 69 students.
The cube root of 2 is irrational. The proof that the square root of 2 is irrational may be used, with only slight modification. Assume the cube root of 2 is rational. Then, it may be written as a/b, where a and b are integers with no common factors. (This is possible for all nonzero rational numbers). Since a/b is the cube root of 2, its cube must equal 2. That is, (a/b)3 = 2 a3/b3 = 2 a3 = 2b3. The right side is even, so the left side must be even also, thatis, a3 is even. Since a3 is even, a is also even (because the cube of an odd number is always odd). Since a is even, there exists an integer c such that a = 2c. Now, (2c)3 = 2b3 8c3 = 2b3 4c3 = b3. The left side is now even, so the right side must be even too. The product of two odd numbers is always odd, so b3 cannot be odd; it must be even. Therefore b is even as well. Since a and b are both even, the fraction a/b is not in lowest terms, thus contradicting our initial assumption. Since the initial assumption cannot have been true, it must <span>be false, and the cube root of 2 is irrational.
</span>
Answer:
67
Step-by-step explanation:
Answer:
6 and 2
Step-by-step explanation:
this is a geometric sequence.
You will notice that the common ratio of this sequence is 1/3.
This means each term is 1/3 of the previous term, except for the first term.
18/3 = 6
6/3 =2
