Answer:
f(x) = x² +x -6
Step-by-step explanation:
The standard form will look like ...
f(x) = x² +bx +c
where b is the opposite of the sum of the roots, and c is their product.
f(x) = x² -(-3+2)x +(-3)(2)
f(x) = x² +x -6
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<em>Additional comment</em>
In general, "standard form" is ax²+bx+c. In this case, the coefficient 'a' can be 1 since neither of the roots is expressed as a fraction. The sum of roots is (-b/a) and the product of roots is (c/a).
Answer:
1440 ft^3
Step-by-step explanation:
You would just find the area which is 15 x 12 x 8 = 1440 ft^3
Surface area = volume
2πr(h + r) = πr^2h
2h + 2r = rh
rh - 2h = 2r
h(r - 2) = 2r
h = 2r/(r - 2) = 7.2/(3.6 - 2) = 7.2/1.6 = 4.5
surface area = 2πr(h + r) = 7.2(4.5 + 3.6)π = 7.2(8.1)π = 58.32πcm^2
Volume = πr^2h = (3.6)^2 x 4.5π cm^3 = 12.96 x 4.5π cm^3 = 58.32π cm^3