Answer:
3x( x+5) (x+4)
Step-by-step explanation:
3x^3 + 27x^2 + 60x.
Factor out the greatest common factor
3x( x^2 +9x+20)
Now factor inside the parentheses
What two numbers multiply to 20 and add to 9
5*4 = 20
5+4 =9
3x( x+5) (x+4)
Answer:
130
Step-by-step explanation:
The number of integers meeting the criteria can be found by counting them using a counting formula.
<h3>Divisible by 7</h3>
Integers divisible by 7 will have the form (7n), where n is some positive integer. The number of them less than 1000 can be found from ...
7n ≤ 1000
n ≤ 142.857
There are 142 integers less than 1000 that are divisible by 7.
<h3>Divisible by 7 and 11</h3>
Similarly, integers divisible by 7 and 11 will be of the form (77n), for some positive integer n.
77n ≤ 1000
n ≤ 12.987
There are 12 integers less than 1000 that are divisible by both 11 and 7.
<h3>Divisible by 7, not 11</h3>
The number of integers less than 1000 that are divisible by 7, but not 11, will be the difference of these numbers.
142 -12 = 130 integers divisible by 7, but not 11.
Answer:
150 lies between 12 and 13
Step-by-step explanation:
A proportional relationship would look like y=mx (no y-intercept).
The formula for temperature Fahrenheit involves an offset (y-intercept); this is one reason I claim that the relationship in question is NOT proportional.
