Answer:
-9x²+6
Step-by-step explanation:
f(x)=3x^2-2
g(x)=(-3) x f (x)
- g(x)= -3*3x²-3*(-2)= -9x²+6
- g(x)= -9x²+6
Answer:
Step-by-step explanation:
The coefficient of a variable is always the number before the variable, if there is no number before a variable the coefficient is always 1. :)
In this case, the coefficient is 7.
The domain and the range of a function are the set of input and output values, the function can take.
- <em>The domain and the range of </em>
<em> is </em>
<em>.</em> - <em>The parent function </em>
<em> is vertically compressed by 9, then shifted down by 5 units to get </em>
<em />
<em />
Given

<u>Domain and range</u>
There is no restriction as to the input and the output of function g(x).
This means that the domain and the range are
is in interval notation
The corresponding set notation is: 
<u />
<u>The parent function</u>
We have:

First, the parent function is vertically compressed by a factor of 9.
The rule of this transformation is:

So, we have:

Next, the function is shifted down by 5 units.
So, we have:


Read more about functions at:
brainly.com/question/21027387
Initial velocity of the plane is Vo = 0.
acceleration a = 1.3 m/s2
total distance = 2.5 km = 2500m
time taken to reach 2.5 km with 1.3m/s^2 acceleration = t
S = Vo t + 0.5 a t^2
2500 = 0 + (0.5*1.3* t^2)
t^2 = 3846.15
t = 62 s
the maximum velocity plan can reach within 62 s is Vt
Vt = Vo + a t
Vt = 0 + (1.3*62)
Vt = 80.6 m/s
Since 80.6 m/s is greater than 75 m/s, plane can use this runway to takeoff with required speed.
The formula for the discriminant is the square root of b^2 - 4ac
8x^2+18x-5= 0
a = 8, b=18, c= -5
Square root of 324 +160
Square root of 484 = 22 The discriminant is 22