Ur gonna have to pick an equation and solve for a variable.
2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3
now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
-42 -42
-----------------------
14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3
now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6
solution is (6,3)
it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)
so yes, ur solution is (6,3)
Answer:
The maximum is -3
Step-by-step explanation:
A parabola that opens down (- in front), the vertex represents the highest point on the graph, or the maximum value.
The vertex of the equation is (-7,-3)
So, the maximum y value is -3
<span>-6(-5)+12
Multiply -6 by -5.
Note: Whenever you multiply or divide a negative number by another negative number, it automatically becomes a positive number.
30+12
Add
Final Answer: 42</span>
Find the area of the wheel:
Area of a circle is found using the formula:
Area = PI x r^2
9 inch would be the diameter, so the radius would be 9/2 = 4.5 inches.
The area would be 3.14 x 4.5^2 = 63.6 square inches.
Now divide the price by the area to get price per square inch:
Cost per square inch = 18.60 / 63.6 = $0.29 (rounded to the nearest cent)
