A quadratic equation has the general form
of: <span>
y=ax² + bx + c
It can be converted to the vertex form in order
to determine the vertex of the parabola. It has the standard form of:
y = a(x+h)² - k
This can be done by completing a square. The steps are as follows:
</span><span>y = 3x2 + 9x – 18
</span>y = 3(x2 <span>+ 3x) – 18
</span>y + 27/4= 3(x2 <span>+ 3x+ 9/4) – 18
</span>y = 3(x2 + 3/2)^2 – 99<span>/4
</span>
Therefore, the first step is to group terms with the variable x and factoring out the coefficient of x^2.
Answer:
gof(x) = 3
Step-by-step explanation:
Given that,
f(x) = x+2 and g(x) = x+1
We need to find gof(x).
gof(x) means g[f(x)].
g[f(x)] = g(x +2)
= x+2+1
= x+3
Hence, the value of gof(x) is 3.
Answer:
5
Step-by-step explanation:
5 / 4 = 20 20 - 8 =12
For this case we have that by definition, the domain of a function, is given for all the values for which the function is defined.
We have:
The given function is not defined when the denominator is equal to zero. That is to say:
To find the roots we factor, we look for two numbers that when multiplied give as a result "8" and when added as a result "-6". These numbers are:
Thus, the factored polynomial is:
That is to say:
Makes the denominator of the function 0.
Then the domain is given by:
All real numbers, except 2 and 4.
Answer:
x |x≠2,4
It shows that six years pasted between 2007 and 2013 and it increased by 20,000 so add that to the population at the time the answer is 158000
