Factor 16x^2 + 68x +42
16x^2 + 68x + 48
= 2(4x + 3)(2x + 7)
answer = 2(4x +3)(2x + 7)
Answer:
<em>Domain ⇒ All Real Numbers, Range ⇒ y < 0; Option D</em>
Step-by-step explanation:
Take a look at the procedure below;
First simplify f ( x ) = - 4 * ( 8 )^x, such that it is ⇒
f ( x ) = - 2^2 * 8^x,
f ( x ) = - 2^2 * ( 2^3 )^x,
f ( x ) = - 2^2 * 2^3x,
f ( x ) = - 2^2 + 3x,
Now if we take a look at the domain we can see that it has no undefined points nor domain constraints, thus;
- ∞ < x < ∞
However, the range of the function is present in the form - c * n^ax + b, where f ( x ) < k, and k = 0;
f ( k ) < 0, y < 0
<em>Solution; Domain ⇒ All Real Numbers, Range ⇒ y < 0; Option D</em>
To find the time to reach ground solve -16t^2 +55 = 0
t^2 = 55/16
t = sqrt55 / 4 = 1.85 seconds
Let the height of pole B be x meters.
We have a right angled triangle whose base = 12 m , hypotenuse = 20 m and height = (x - 5) m.
Applying the pythagoras theorem:-
20^2 = (x - 5)^2 + 12^2
x^2 - 10x + 25 = 20^2 - 12^2
x^2 - 10x + 25 = 256
x^2 - 10x - 231 = 0
(x - 21)(x + 11) = 0
x = 21, -11 We ignore the negative root
So the Pole B is 21 meters high. Answer
