Answer:
x = 20
Step-by-step explanation:
<em>Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.</em>
3x + 50 = 6x - 10
<em>Solve by combining like-terms and isolating </em><em>x</em><em>. Move the </em><em>3x</em><em> to the right by subtracting it from both sides.</em>
50 = 3x - 10
<em>Move the </em><em>10</em><em> to the left by adding it to both sides.</em>
60 = 3x
<em>Divide the </em><em>3</em><em> from both sides to isolate the </em><em>x.</em>
x = 20
<em>Furthermore, this can be checked by plugging in </em><em>20</em><em> to </em><em>x</em><em> and seeing if the expression is true.</em>
3(20) + 50 = 6(20) - 10
110 = 110
The answer to this problem is A
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
The answer is 12 ÷ 4 + 13 > 2 + 22 ÷ 2