Answer:
C
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -56 = -56
Step-2 : Find two factors of -56 whose sum equals the coefficient of the middle term, which is -10 .
-56 + 1 = -55
-28 + 2 = -26
-14 + 4 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 4
x2 - 14x + 4x - 56
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-14)
Add up the last 2 terms, pulling out common factors :
4 • (x-14)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x-14)
Which is the desired factorization
Equation at the end of step 1 :
(x + 4) • (x - 14) = 0
Let's use f(x) for the first one and g(x) for the second.
n is the number of songs downloaded, t is the time in years, and m is the time in months.
f(x) = 125t + 10m
g(x) = 50 + n
For 2, substitute 1 for t and 12 for m.
For 4, solve f(x) = g(x).
For 5, solve g(x) for n=(14*12). Compare it to the value of f(x) for t=1 and 12=m.
Answer:
Yes there are three lines that are right beside each other making them parrel.
Step-by-step explanation:
For every 
, we have
So, negletting the first term, each term of the sum is greater than 1, which implies
Which means that the series diverges.
Answer:
B
Step-by-step explanation:
∠ACE and ∠ECB form a straight angle whose sum = 180°, hence
2x + 2 + 5x + 3 = 180
7x + 5 = 180 ( subtract 5 from both sides )
7x = 175 ( divide both sides by 7 )
x = 25 → C
