We have been given an expression 
. We are asked to factor the given expression by grouping.
First of all, we will make two groups of our expression as:
Now we will factor of greatest common factor from each group.
Now we will factor out common terms 
as:
Therefore, the factorized form of our given expression would be .
The value of the expression in the form a(x+b)^2 is 1.5(x+2)^2 - 4
<h3>Vertex Form of a quadratic expression</h3>
Given the quadratic expressions
1.5x^2+6x+......
1.5(x^2 + 4x)
Using the completing the square method
The coefficient of x = 4
Half of the coefficient = 4/2 = 2
The square of the result = 2^2 = 4
The equation is expressed as:
f(x) = 1.5(x^2+4x+ 4) - 4
f(x) = 1.5(x+2)^2 - 4
Hence the value of the expression in the form a(x+b)^2 is 1.5(x+2)^2 - 4
Learn more on completing the square method here: brainly.com/question/1596209
Well, the X component (assuming x is the horizontal) is equal to RCosZ
Where Z is the angle and R is the size of the resultant
Substitute into formula :
X component = RcosZ
-3 = Rcos135°
R = -3/cos135°
R = 4.24264...
R = 4.24 (2dp)
The vertical component (or Y component) is equal to RSinZ
Vertical component = RSinZ
= 4.24264... × Sin135°
= 3
The answer is 3
Please feel free to ask any questions you have
The least square regression equation for the information provided is y = 9.72x - 40.776
<u>The general equation of a regression model can be expressed thus</u>:
Calculating slope, b :
- b = 0.81(177.6 / 14.8) = 9.72
<u>Plugging the values of b, y and x into the equation in other to calculate c</u> :
696 = 9.72(75.8) + c
696 = 736.776 + c
c = 696 - 736.776
c = - 40.776
Therefore, the linear regression model can be expressed as : y = 9.72x - 40.776
Learn more :brainly.com/question/18405415
Answer:
The amplitude of the given sinusoidal function is 3.5
Step-by-step explanation:
The given sinusoidal function is
This function is of the form:
where
a=|-3.5|=3.5 is the amplitude.
Therefore the amplitude of the given sinusoidal function is 3.5
