Answer: x = -30
Steps: 19 + x/2 = 4
Subtract 19 from both sides: 19 + x/2 - 19 = 4 - 19
Simplify: x/2 = 15
Multiply both sides by two: x/2 (2) = -15 (2)
Simplify: x = -30
Answer:
6.67 m/s
Step-by-step explanation:
Let

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

So, the base case is ok. Now, we need to assume
and prove
.
states that

Since we're assuming
, we can substitute the sum of the first n terms with their expression:

Which terminates the proof, since we showed that

as required
Answer:
b.
( -3, -5)
Step-by-step explanation:
6x + 13 = 2x + 1
6x -2x = 1-13
4x = -12
x = -12/4 = -3
y = 6x + 13
y = 6(-3) +13 = -18+13 = -5
(x, y) = (-3,-5)
Answer:
no solutions
Step-by-step explanation: