The range of the function is {-34, -2, -20}
<h3>How to determine the range?</h3>
The function is given as:
f(x) = -2x^2 - 2
The domain is {-4, 0, 3}
Substitute the domain values in the function.
f(-4) = -2(-4)^2 - 2 = -34
f(0) = -2(0)^2 - 2 = -2
f(3) = -2(3)^2 - 2 = -20
This means that the range of the function is {-34, -2, -20}
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Answer:
The time taken for the flare to hit the ground is approximately 10.7 seconds.
Step-by-step explanation:
Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation
models the h height at t seconds of the flare.
To find : How long will it take for the flare to hit the ground?
Solution :
The equation
models the h height at t seconds of the flare.
The flare to hit the ground when h=0.
Substitute in the equation,

Applying quadratic formula, 
Where, a=-16, b=160 and c=120





Reject the negative value.
Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.
Answer:
DBC = 50 degrees
Step-by-step explanation:
180 - 80 = 100
2x = 100
divide by 2
x = 50
so
DBC = 50 degrees
Answer:

Step-by-step explanation:
if
, then that means that it is the angle of a right triangle with the hypotenuse equal to 4 and one of the legs (specifically the adjacent leg) equal to 3, since sec(x) is defined as hypotenuse over the adjacent side.
The other leg (specifically the opposite one) will be equal to
by the pythagorean theorem, so csc(x) = hypotenuse over opposite side =
.
cot(x) is defined as adjacent over opposite, which is equal to 
That means that the first option, the leftmost one, is correct.
Answer:
From the given statement the value of b is calculate as 8
Step-by-step explanation:
The given statement is
+ 1 = 3
This is a form of simple equation
= 3 - 1
= 2
Or, b = 2 × 4
I.e b = 8
Hence from the given statement the value of b is calculate as 8 Answer