Use what we know to make equations in order to solve for each governor's salary.
A=governor of state A
B=governor of state B
A+b=283,910. (Their salaries combined)
A=B+50,440 (A earns 50,440 more than B)
Sub A into the original formula to solve for B
B+50,440+b=283,910
2B=283,910-50,440
2B=233,470
B=116,730
Sub B into the formula that's equal to A
A=B+50,440
A=116,735+50,440
A=167,175
I hope this helps!
C= Cost
g= # of times games played
C = 0.50g + 3
C(0) = 0.50(0) + 3
C(0) = 0 + 3
C(0) = 3
This means that no games have been played yet and the entrance fee is $3
Answer:
y + 4 = -3 (x - 5)
In other words,
y = -3 x + 11
Step-by-step explanation:
The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.
The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).
Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,
What will be the equation of this line?