Answer:
The factored form would be (8g + 7h)(2g - 5h)
Step-by-step explanation:
In order to find this, we need to use factors of 16g^2 in the front of the parenthesis. We also need to use factors of -35h^2 in the second side. Now we try these in the parenthesis and FOIL until we get an appropriate middle term.
Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
Answer:
A) $17,332.59
Step-by-step explanation:
$16,000(e^(0.02[or 2%] * 4)) = $16,000(e^0.08)
e^0.08 = 1.08328706767 * $16,000 ≈ $17,332.59
Answer:
5 and 61
Step-by-step explanation:
Using Pythagoras' identity in the right triangles
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
(1)
c² = a² + b² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )
c = 
= 5
(2)
c² = a² + b² = 11² + 60² = 121 + 3600 = 3721 ( take the square root of both sides)
c = 
= 61
