Answer:
The coefficient of the squared term of the equation is 1/9.
Step-by-step explanation:
We are given that the vertex of the parabola is at (-2, -3). We also know that when the <em>y-</em>value is -2, the <em>x-</em>value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.
Since we are given the vertex, we can use the vertex form:
Where <em>a</em> is the leading coefficient and (<em>h, k</em>) is the vertex.
Since the vertex is (-2, -3), <em>h</em> = -2 and <em>k</em> = -3:
Simplify:
We are also given that <em>y</em> = -2 when <em>x</em> = -5. Substitute:
Solve for <em>a</em>. Simplify:
Therefore, our full vertex equation is:
We can expand:
Simplify:
The coefficient of the squared term of the equation is 1/9.
$21.50(40) + $31.88 (62-40)
$21.50(40) + $31.88(22)
$860 + $701.36
$1561.36
Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.
Hope this helps :)
Answer:
The correct answer is 1
Step-by-step explanation:
The composite function g(f(x)) will be given by;
(1+x)^2 -(1+x)
Substituting x with zero yields g(f(0)) =0.
On the other hand, the composite function f(g(t)) will be given by;
1+t^2-t
Substituting t with zero yields f(g(0)) =1
Finally, g(f(0)) + f(g(0)) =0+1 = 1.
S = V*t
3.5 hrs * 4.2 mph = 14.7 mi
t = S/V
14.7 mi/ 2.8 mph = 5.25 hrs
