The function g(x) is a quadratic function:
- Its quadratic term is -2x²
- Its linear term is - 3x
- Its constant is 6
<h3>What are functions?</h3>
Functions are algebraic expressions that have at least two variables, in order to make their visual representation through a graph and evaluate their behavior.
This problem deals with linear or quadratic functions, and these differ in the degree of the exponent of the variable:
1 : linear
2 : quadratic
The function:
g(x) = -2x² - 3(x- 2).
g(x) = -2x² - 3x + 6 , we have a quadratic function.
- Its quadratic term is -2x²
- Its linear term is - 3x
- Its constant is 6
Learn more about functions at:
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Answer:
The answer is 2.0190
Step-by-step explanation:
<em>From the given question,</em>
<em>We recall that,</em>
<em>p = 141/241 = 0.5850</em>
<em>so, p = 0.5</em>
<em>The Hypothesis is:</em>
<em>H₀ : P = 0.5, this means that H0:50% of the games played will be won</em>
<em>vs</em>
<em>H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.</em>
<em>n=241,x=141</em>
<em>Then,</em>
<em>SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421</em>
<em>z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190</em>
<em>therefore, there is strong evidence that there is home field advantages in professional football.</em>
The linear equation representing the above said pair of points is "y=12x+9"
Step-by-step explanation:
The given set of points are
x Y
1 21
2 33
3 45
4 57
For finding the linear equation for the given sets of value
We must know the generic form of a linear equation is y=m*x + c
m= slope of the line where y= Δy/Δx
Δy= change in y value
Δx= change in x value
Thus slope ”m” = 33-21/2-1 = 12
we put slope “m” in the equation which becomes y=12x+c
Now we put any of the set value in the equation
33= 12*2+c ∴ c=9
Hence required linear equation is y=12x+9
Answer:
1)0.5
2)0.25
3)0.083
Step-by-step explanation:
1 is just 3/6
2 is 3/6*1/2
3is 1/6*1/2
The smallest angle is an acute angle. You remember this by thinking "This is a cute and tiny angle"
