Answer:
49 square feet
Step-by-step explanation:
Area of square
Answer: the cost of one shirt is $28
the cost of one sweater is $23
Step-by-step explanation:
Let x represent the cost of one shirt.
Let y represent the cost of one sweater.
Lonnie purchased three sweaters and two shirts for $130. It means that
2x + 3y = 130 - - - - - - - - -1
If the sale price of a shirt was five dollars less than the sale price of a sweater, it means that
x = y - 5
Substituting x = y - 5 into equation 1, it becomes
2(y - 5) + 3y = 130
2y - 10 + 3y = 130
2y + 3y = 130 + 10
5y = 140
y = 140/5
y = 28
x = y - 5 = 28 - 5
x = 23
Answer:
The answer would be D, or
Step-by-step explanation:
A is 540
B is 30
C is 720
D is 360
Differentiate implicitly using the power rule:
<span>12x^2 + 15y^2y' = 0 </span>
<span>Make y' the subject: </span>
<span>15y^2y' = -12x^2 </span>
<span>y' = -(4x^2) / 3y^2 </span>
<span>Differentiate again using the quotient rule: </span>
<span>y'' = [-8x(3y^2) - 6yy'(-4x^2)] / 9y^4 </span>
<span>y'' = (-24xy^2 + 24x^2yy') / 9y^4 </span>
<span>Simplify: </span>
<span>y'' = (-8xy + 8x^2y') / 3y^3 </span>
<span>Substitute (4x^2) / 3y^2 back for y': </span>
<span>y'' = (-8xy + 8x^2 * 4x^2 / 3y^2) / 3y^3 </span>
<span>y'' = (-24xy^3 + 32x^4) / 9y^5</span>