What is the range of function g? g (x) = x²+6x-5
1 answer:
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Answer:
Distance between P and R is 40.15 km.
Step-by-step explanation:
From the picture attached,
Petrol kiosk P is 12 km due North of another petrol kiosk Q.
Bearing of a police station R is 135° from P and 120° from Q.
m∠QPR = 180° - 135° = 45°
m∠PQR = 120°
m∠PRQ = 180° - (m∠QPR +m∠PQR)
= 180° - (45° + 120°)
= 180° - 165°
= 15°
Now we apply sine rule in ΔPQR to measure the distance between P and R.
PR =
PR = 40.15 km
Therefore, distance between P and R is 40.15 km.
The question is a bit ambiguous: you may mean
or
Anyway, in both cases, the domain of a function involving a square root is found by imposing the content of the root to be greateer than or equal to zero. So, in the first case you have
In the second case, you have
Answer
Exponential function is in the form of : .....[1]
where a is the initial amount and r is the growth rate and (1+r) is the growth factor.
Given the function:
On comparing with equation [1] we have;
Initial amount(a) = 12
1+r = 1.05
Subtract 1 from both sides we get;
or 5%
Growth (r) = 0.05 or 5%
Now, evaluate the function for t = 5 we have;
Substitute the value of t=5 in the given function we have;
Therefore, the value of function when t=5 to the nearest tenth is 15.3