5y-5y^2-5+2+2y+3y^2-1
collect like terms
7y-2y^2-4
reorder the terms
-2y^2+7y-4
-2y^2+7y-4 is your final answer, I hope this helps!
Answer: the commission that she earns for selling each suit is $13
the commission that she earns for selling each pair of shoes is $8
Step-by-step explanation:
Let x represent the commission that she earns for selling each suit.
Let y represent the commission that she earns for selling each pair of shoes.
One week, she earned $47 in commission for selling 3 suits and a pair of shoes. It means that
3x + y = 47 - - - - - - - - - - 1
The next week, she earned $107 in commission for selling 7 suits and 2 pairs of shoes. It means that
7x + 2y = 107 - - - - -- - - - -2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
6x + 2y = 94
7x + 2y = 107
-x = -13
x = 13
Substituting x = -13 ,into equation 1, it becomes
3×13 + y = 47
39 +y = 47
y = 47 - 39 =
y = 8
It reflected across line x = 3, y coordinate will remain the same.
Answer: (7, 5)
<u>Answer</u>
yes it does.
<u>Explanation</u>
The equation of a straight line is in the form of Y = mX + c, where m is a constant (the gradient) and c is the y-intercept.
The equation above, y= 4x +3 is the equation of a straight line.
y ∝ x
Introducing the constant of proportionality now become y = 4x. When like this the a line is a straight line from the origin but when we add 3 in the equation we have. Y = 4X + 3.
The equation remains proportional. This time the line passes through the point (0,3).
Answer:
13.0833 ft²
Step-by-step explanation:
From the question given above, the following data were obtained:
Radius (r) = 5 ft
Angle sustained by the sector (θ) = 360 – 300
= 60°
Pi (π) = 3.14
Area of sector (A) =?
The area of the sector can be obtained as follow:
A = θ/360 × πr²
A = 60/360 × 3.14 × 5²
A = 1/6 × 3.14 × 25
A = 1/6 × 78.5
A = 78.5/6
A = 13.0833 ft²
Thus, the area of the sector is 13.0833 ft²
