Answer:
4
Step-by-step explanation:
The left side of the equation can be factored as the difference of squares:
(a -b)(a +b) = 105
The right side of the equation can be factored to 4 different pairs of factors:
105 = 1·105 = 3·35 = 5·21 = 7·15
For each of the factor pairs, we can match factors to get, for example, ...
a -b = 1
a +b = 105
The solution to this is a = (105 +1)/2 = 53, b = (105 -1)/2 = 52. Thus, we have ...
(a, b) = (53, 52)
For the other factor pairs, the solutions are ...
(a, b) = (19, 16), (13, 8), (11, 4)
There are a total of 4 positive integer solutions.
Answer:
There are multiple possibilities. One is there are 12 boys, and 16 girls. 12+16= 28 which is between 20 and 30. That would be 12:16, which can be simplified to 3:4. There is also 9 boys, and 12 girls. that would be 9:12, which can be simplified to 3:4. Also, 9 + 12 = 21, which is between 20 and 30.
Answer:
The coefficient in the equation is 0.25.
It represents the rate of change (decrease factor) or the slope.
Depending on the context, it can have different representations.
Answer:
The amplitude is 
Step-by-step explanation:
Let f(x) be a sinusoid function that has the following format:
Then b is the amplitude of the function
h is the vertical displacement of the wave
s is the phase angle
is the period.
In this problem 
Then 
Therefore the amplitude of the function is
The amplitude is a measure of the vertical size of the sinx wave
Answer:
3 grams
Step-by-step explanation:
