Answer:
A- 129.6 N
Step-by-step explanation:
Since the centrifugal force on the passenger, F varies jointly as the mass of the passenger, m and the square of the speed of the car,v. In mathematical notation, F ∝ mv² ⇒ F = kmv².
If F₁ = 226.8 Newtons, m₁ = 70 kilograms and speed v₁ = 60 kilometers per hour. From F= kmv², k = F/mv² the proportionality constant. If F₂ is the force on the passenger of mass m₂ = 90 kilograms and speed of car ,v₂ = 40 kilometers per hour. Then,
Functions are used to represent graphs, and vice versa.
The function represented by the graph is
The graph (see attachment) is an absolute value graph.
An absolute value graph is represented as:
Where
The vertex is the minimum or the maximum point on the graph.
So, we have:
The function becomes
The function also passes through the point (-1,0).
So, we have:
Remove the absolute bracket
Subtract 3 from both sides
Divide both sides by 3
Substitute -1 for (a) in
Hence, the function represented by the graph is
Read more about absolute value graphs at:
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>
Answer:
<em>The age at which both companies charge the same premium is 44 years</em>
Step-by-step explanation:
<u>Graph Solution to System of Equations</u>
One approach to solving systems of equations of two variables is the graph method.
Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.
The annual premium p as a function of the client's age a for two companies are given as:
Company A: p= 2a+24
Company B: p= 2.25a+13
The graphs of both functions are shown in the image below.
The red line indicates the formula for Company A and the blue line indicates the formula for Company B.
It can be seen that both lines intersect in the point with approximate coordinates of (44,112).
The age at which both companies charge the same premium is 44 years
