A standard cubic polynomial is written as ax3 + bx2 + cx + d. Setting the coefficient of the x2 term to -7 gives a valid polynomial of degree 3, such as x3 – 7×2 + x + 1.
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Substitute the values into y = ax + b. For 10 modules, 400 = 10a + b. For 14 modules, 500 = 14a + b. Subtracting the equations gives 4a = 100, which results in a = 25 and b ...
If the length of the rectangle is x cm, then the width becomes 10 minus x cm because the total perimeter is 20 cm. Therefore, the area of the rectangle is x multiplied by 10 minus x.
The total cost of decorating the garden is found by adding fencing and seed costs. Wire fencing costs 200l rupees, wooden fencing costs 160w rupees and seeds cost 50lw rupees. Therefore, total cost equals 200l + 160w + 50lw.
In the algebraic expression 200l + 160w + 50lw, the terms are 200l, 160w and 50lw. The variables are l and w. The coefficients are 200, 160 and 50. There is no constant term in this expression.