Answer:
10. ( 7x + 2 ) × ( 5x + 1 )
Step-by-step explanation:
1. 35x² + 10x + 7x + 2
2. 5x × ( 7x + 2 ) + 7x + 2
3. ( 7x + 2 ) × ( 5x + 1 )
Answer:
(- 2, 0 ) and (- 4, - 2 )
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
y = x² + 7x + 10 → (2)
Since both equations express y in terms of x we can equate them, that is
x² + 7x + 10 = x + 2 ( subtract x + 2 from both sides )
x² + 6x + 8 = 0 ← in standard form
(x + 2)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 4 = 0 ⇒ x = - 4
Substitute these values into (1) for corresponding values of y
x = - 2 : y = - 2 + 2 = 0 ⇒ (- 2, 0 )
x = - 4 : y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
Solutions are (- 2, 0 ) and (- 4, - 2 )
Answer: 1/8 x, the second option
Step-by-step explanation:
(5)(1/8)(x) = 5/8 x
(11)(1/8)(x) = 11/8 x
Both have 1/8 * x in common
1/8 * x = 1/8 x
The one with 972 is the answer
If the submarine descended 184.4 meters in 23.5 minutes, its rate of descent was ...
... (184.4 m)/(23.5 min) ≈ 7.847 m/min
The submarine descended about 7.85 meters in one minute.