Bob's Skate Shop had a profit of $3,563 during the month of August. The company models its profit using P=x^2+10x-12

1 answer:

4 0

$x^2+10x-12 =3563 \\ x^2+10x-12 -3563=0 \\ x^2+10x-3575=0 \\ D=b^2-4ac=10^2-4*1*(-3575)=100+14300=14400 \\ x_{1,2}= \frac{-bб \sqrt{D} }{2a}= \frac{-10б \sqrt{14400} }{2}= \frac{-10б 120 }{2} \\ x_1= -65 \ \ \ \O \\ x_2=55$

The company sold 55 skateboards.

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Chloe is painting on a stretched canvas that has an area of 108 square inches. The length of the canvas is 12 inches. The width

Stolb23 [73]

Answer: Width of canvas = 9 inches

Area left for painting after painting the border = 70 square inches.

Explanation :

Since we have given that

Area of painting = 108 square inches

Length of canvas = 12 inches

As we know that

$\text{Area of rectangle} = length\times breadth$

$108=12\times breadth\\\\\frac{108}{12}=breadth\\\\9=breadth$

So, breadth of canvas = 9 inches .

Now, Chloe paints a 1 inch wide blue border on the canvas.

$\text{So, remaining length left for painting after painting the border} = 9-1-1=9-2=7\text{ inches}$

$\text{ Remaining breadth left for painting after painting the border }= 12-1-1=12-2= 10\text{ inches}$

$\text{So , area of remaining portion }= length\times breadth \\\\ \text{ area of remaining portion }=7\times 10\\\\\text{ area of remaining portion }=70 \text{ square inches}$