Answer:
D
Step-by-step explanation:
Given
x = 6 - x² ( subtract 6 - x² from both sides )
x² + x - 6 = 0 ← in standard form
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)
The factors are + 3 and - 2, since
- 3 × 2 = - 6 and 3 - 2 = + 1, thus
(x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
Sum of solutions = - 3 + 2 = - 1 → D
Answer:
1.4 hrs or 84 minutes
Step-by-step explanation:
t = time when the 2 trains will be 280 miles apart
95t + 105t = 280
200t = 280
t = 1.4 hrs or 84 minutes
Answer:
(3,-2)
Step-by-step explanation:
Midpoints bisect a line into two perfectly congruent segments. So, you can find that f was translated down 5=(8-3) and left 1=(5-4). then repeat this step by subtracting x of point e by 1 and the y of point e by 5 to get (3,-2)
Answer:
(A)
(B)
Step-by-step explanation:
We have to find the Laplace transform
(a) x(t) + 7 x(t) = 5 cos2t
Taking Laplace of both side
(B)
Taking Laplace transform of both side