N; n+1; n+2 - 3 consecutive numbers
n(n + 1) = (n + 2)² - 19 |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²
n² + n = n² + 4n + 4 - 19 |subtract n² from both sides
n = 4n - 15 |subtract 4n from both sides
-3n = -15 |divide both sides by (-3)
n = 5
n + 1 = 5 + 1 = 6
n + 2 = 5 + 2 = 7
Answer: 5; 6; 7.
Hi There!
Answer:
25x² - 4
Step-by-step explanation:
Solve: (5x - 2)²
Step 1: 25x² - 2²
Step 2: 25x² - 4
Hope This Helps :)
A circle is a fixed distance from all other points on the circle
Answer:
(34, 48)
Step-by-step explanation:
According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean. That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:
41 - 7 < mean < 41 + 7, or
34 < mean < 48, or simply (34, 48)
Answer:
3 HOURS : company A costs more
5 HOURS : Cost is the same
10 HOURS : Company B costs more
Step-by-step explanation:
Company A :
Rental fee = $100
Hourly rate = $20
Company B:
Hourly rate = $40
Cost of renting a bounce house from each company for h hours ;
Company A:
Total cost = 100 + 20h
Company B:
Total cost = 40h
If h = 3
Company A:
100 + 20(3) = $160
Company B:
40(3) = $120
FOR h = 5;
Company A:
100 + 20(5) = $200
Company B:
40(5) = $200
FOR h = 10;
Company A:
100 + 20(10) = $300
Company B:
40(10) = $400