Please help me out with this :)
1 answer:
Answer:
x = 1
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = - 2, then
k = =
= - 6, thus
y = - 6x ← equation of variation
When y = - 6, then
- 6 = - 6x ( divide both sides by - 6 )
x = 1
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Answer:
As per the statement:
The path that the object takes as it falls to the ground can be modeled by:
h =-16t^2 + 80t + 300
where
h is the height of the objects and
t is the time (in seconds)
At t = 0 , h = 300 ft
When the objects hit the ground, h = 0
then;
-16t^2+80t+300=0
For a quadratic equation: ax^2+bx+c=0 ......[1]
the solution for the equation is given by:
On comparing the given equation with [1] we have;
a = -16 ,b = 80 and c = 300
then;
Simplify:
= -2.5 sec and
= 7.5 sec
Time can't be in negative;
therefore, the time it took the object to hit the ground is 7.5 sec
Answer:
Option B) is the correct option.
Step-by-step explanation:
<em>Exponential function is the one where, a constant is raised to the power of x, a independent variable.</em>
Here, only option B and D are such exponential functions, while option A is linear and option C is quadratic in nature.
Now, to verify which option is correct, we will input the values and check which has the least difference between the given values.
Or we can use the cost function,
, to find which function has the least error.
By applying the above results,we find Option B is correct.