Abit is planning a birthday party for his granddad. He bought a cake for $18\$18$18dollar sign, 18. He also wants to buy some ba
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Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
...(i)
It is passes through the point (0,11). So, substitute in (i).
Putting in (i), we get
...(ii)
The quadratic function passes through the point (5,31). So, substitute in (ii).
Divide both sides by 5.
...(iii)
The quadratic function passes through the point (3,11). So, substitute in (ii).
Divide both sides by 3.
...(iv)
Subtracting (iv) from (iii), we get
Putting in (iv), we get
Putting in (ii), we get
Therefore, the required quadratic equation is .
Answer:
The answer is below
Step-by-step explanation:
From the image attached, the measurement of the roof is 5 m by 9 m on both sides. Hence:
Area of roof = 2 (5 * 9) = 90 m²
Since solar panels cost $4.00 per square meter, therefore:
Cost of solar panels = $4.00 per square meter * 90 m² = $360
The area of the front wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) - (4 m * 4 m) = 52 m²
The area of the back wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) = 68 m²
Area of each side wall of barn = 9 m * 7 m = 63 m²
Total area of wall = 52 m² + 68 m² + (2 * 63 m²) = 246 m²
Cost of shingles = $2.50 for each square meter * 246 m² = $615
Total cost of project = $615 + $360 = $975
