Answer:
<em>y=7(3)= 21</em>
<em>y=7(8)= 56</em>
<em>y=7(10)= 70</em>
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
3z-1
putting the value of z
=3×3-1
=9-1
=8
If <em>x</em> + 1 is a factor of <em>p(x)</em> = <em>x</em>³ + <em>k</em> <em>x</em>² + <em>x</em> + 6, then by the remainder theorem, we have
<em>p</em> (-1) = (-1)³ + <em>k</em> (-1)² + (-1) + 6 = 0 → <em>k</em> = -4
So we have
<em>p(x)</em> = <em>x</em>³ - 4<em>x</em>² + <em>x</em> + 6
Dividing <em>p(x)</em> by <em>x</em> + 1 (using whatever method you prefer) gives
<em>p(x)</em> / (<em>x</em> + 1) = <em>x</em>² - 5<em>x</em> + 6
Synthetic division, for instance, might go like this:
-1 | 1 -4 1 6
... | -1 5 -6
----------------------------
... | 1 -5 6 0
Next, we have
<em>x</em>² - 5<em>x</em> + 6 = (<em>x</em> - 3) (<em>x</em> - 2)
so that, in addition to <em>x</em> = -1, the other two zeros of <em>p(x)</em> are <em>x</em> = 3 and <em>x</em> = 2
Answer:
6z plus 7
Step-by-step explanation:
Volume of the cone is 942 cm³
Step-by-step explanation:
- Step 1: Find the volume of the cone given base area = 78.5 cm² and height = 12 cm
Volume of the cone = Base area × Height
= 78.5 × 12 = 942 cm³