Answer:
21 miles
Step-by-step explanation:
Each of the distances is the same, so we have ...
5x +4 = 15x -30
34 = 10x
3.4 = x
Then the distances are ...
5(3.4) +4 = 21 . . . . miles
Bert and Ernie each live 21 miles from Big Bird's nest.
The solution for this problem would be:
f'(x) = 1 - 1/x^2 = (x^2 - 1)/x^2
is positive where |x| > 1
hence (-inf, -1) and (1, inf) are the regions in which f' is positive and therefore f is increasing.
Therefore, the answer is (-infinity,-1] U [1,infinity).
Distribute Property 5(x+6) basically means 5×x + 5×6 = 5x+30
37= -3+5x+30 (subtract 30 on both sides)
7=-3+5x (add three on both sides)
10= 5x (divide 5 on both sides)
x=2
Answer:
It's 19.
Step-by-step explanation:
Use order of operations (PEMDAS):
2^2[4+(3-6)^2]-13
Parentheses first:
= 2^2[4 + (-2)^2] - 13
= 2^2 ( 4 + 4) - 13
= 2^2 * 8 - 13
Now work out the exponent:
= 4*8 - 13
Now the multiplication:
= 32 - 13
= 19.