. It’s because a prime factor of all even numbers is 2. Therefore the prime factors of all even squares includes two, therefore, the square must be even.

3 0

3 years ago

The height of a baseball hit from a bat is modeled by a quadratic function of time, h(t). What does the second coordinate of the

Brut [27]

The maximum height of the baseball. Hope this helped :)

4 0

2 years ago

What is the solution to the equation below? Round your answer to two decimal places.

vodka [1.7K]

Answer:

x = 0.5

Step-by-step explanation:

2(2x-1)=3

2(2x)+1=3

-1 -1

2(2x)=2 2x2=4

4x=2

4÷4 Cancels out the 4 in X

2÷4=0.5

Therefore

x = 0.5

4 0

4 years ago

Determine the equations of the vertical and horizontal asymptotes, if any, for g(x)=x-2/x^2+4x+3

KatRina [158]

Answer:

Step-by-step explanation:

$g(x)=\dfrac{x-2}{x^2+4x+3}\\\\vertical\ asymptote:\\\\x^2+4x+3=0\\x^2+x+3x+3=0\\x(x+1)+3(x+1)=0\\(x+1)(x+3)=0\iff x+1=0\ \vee\ x+3=0\\\\\boxed{x=-1\ \vee\ x=-3}\\\\horizontal\ asymptote:\\\\\lim\limits_{x\to\pm\infty}\dfrac{x-2}{x^2+4x+3}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(\frac{1}{x}-\frac{2}{x^2}\right)}{x^2\left(1+\frac{4}{x}+\frac{3}{x^2}\right)}=\lim\limits_{x\to\pm\infty}\dfrac{\frac{1}{x}-\frac{2}{x^2}}{1+\frac{4}{x}+\frac{3}{x^2}}=\dfrac{0}{1}=0\\\\\boxed{y=0}$

4 0

4 years ago