Answer:
(-3,-5)
Step-by-step explanation:
When rotating 180˚ degrees about the origin just switch the value of the number from positive to negative or negative to positive
X/35 = 100...multiply both sides by 35
x = 100 * 35
x = 3500
Let X = the number of pennies.
The number of nickels would be 2X
A penny is 0.01 and a nickel is 0.05
Now you have:
0.01x + 2(0.05x) = 8.80
Simplify:
0.01x + 0.10x = 8.80
Combine like terms:
0.11x = 8.80
Divide both sides by 0.11:
x = 8.80 / 0.11
x = 80
Pennies = X = 80 total pennies.
Nickels = 2x = 2 *80 = 160 nickels.
All 3 triangle angles sum to 180 degrees.
So third angle = 180 -40 -60
third angle = 80 degrees
The equation is that of a parabola, meaning that the maximum (or sometimes minimum) is 1/2 the sum of the solutions found using the quadratic equation.
y = 0 for the 2 solutions to {-b +/- sqrt[b2 - 4ac]} / 2a, where a = -3, b = 152 and c = -1150 from the equation for y. Plug a, b and c into the quadratic formula to get x = 9.2571 and x = 41.4095 as the 2 solutions.
9.2571 + 41.4095 = 50.6666... and the midpoint is 25.3333...
When x = 25.3333..., y = 775.33333.....
To the nearest cent, x=25.33 results in a profit of 775.33.
When x=25.25, Y = 775.31
When x=25.4, Y = 775.32
These are both less than 775.33 when x = 25.33.