1) Finding the zeros of this function f(x) =x² +3x -18
f(x) = x²+3x-18 <em>Factoring this equation, and rewriting it</em>
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<em>Which two numbers whose sum is equal to 3 and their product is equal to 18?</em>
<em>6 -3 = 3 and 6 *-3 = -18</em>
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<em>So we can rewrite as (x +6) (x-3)</em>
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(x+6)(x-3)=0 <em>Applying the Zero product rule, to find the roots</em>
x+6=0,
x=-6
x-3=0,
x=3
S={3,-6}
2) Setting a table, plugging in the values of x into the factored form: (x-6)(x-3)
x | y |
1 | -14 (1 +6)(1-3) =-14
2 | -8 (2 +6)(2-3) =-8
3 | 0
4 | 10
-5 | -8
-6 | 0
3) Plotting the function:
Answer:
V = 150.72 yd³
Step-by-step explanation:
To find the volume, we will need to use the formula
To find the base, we will need to use the volume of a circle, which is .
If the diameter is 8, the radius is half which is equivalent to 4. Put this into the equation:
A = π4²
A = 16π ≈ 50.24.
Now, use this in the Volume of a Pyramid formula:
V = 1/3 (50.24 ·9)
V = 150.72 yd³