Answer:
w=-7/3 and w=-9/5
Step-by-step explanation:
Given: 15w^2+62w+63=0
Factor: (3w+7)(5w+9)=0
Zero Product Property: 3w+7=0 and 5w+9=0
Solve each equation: w=-7/3 and w=-9/5
Let me know if you would like me to explain more.
The area of the frame not covered by the painting is 192 square inches
<em><u>Solution:</u></em>
Given that, A rectangular painting is 24 inches wide and 20 inches tall without the frame
The area of rectangle is given as:

<em><u>Find the area of painting without frame:</u></em>
Length = 20 inches
Width = 24 inches

Thus area of painting without frame is 480 square inches
With the frame, it is 28 inches wide and 24 inches tall
<em><u>Find the area of painting with frame:</u></em>
Length = 24 inches
Width = 28 inches

Thus area of painting with frame is 672 square inches
<em><u>What is the area of the frame not covered by the painting</u></em>
Area of the frame not covered by the painting = Area with farme - Area without frame
Area of the frame not covered by the painting = 672 - 480 = 192
Thus the area of the frame not covered by the painting is 192 square inches
No solution (D)
Answer = -1