The Factor Theorem says (x - a) is a factor of function p(x) if p(a)=0
so check for p(-2)
= -2^4 +3(-2)^3 + 4(-2)^2 - 8
= 16 - 24 +16 -8
= 0
so (x + 2) is a factor
If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)
The total volume of the ball will be;
= Total volume - Volume of hollow part
= 4/3πr³ - 4/3πr³
= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³
= 4 × 3.14 × 9 - 4/3 × 3.14 × 8
= 113.04 - 33.52
= 79.52
If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;
= 79.52 × 3.25
= 258.44 g
Now, if there are 8 spheres in one box, the weight if box will be;
= 258.44 × 8
= 2,067.52 g
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Ahh! Finally done with this, if you have any doubt just do ask me :)
Answer:
y = -1/2 - 12
Step-by-step explanation:
The inverse function of y= 2x -12 would be y = -1/2x-12
So if its positive ex(5) and it ask for the inverse that would be - 1/5
You put a 1 on top and make it negative
Notice y° and y° and 50°, are all three angles in a flat-line, namely "linear angles", and since a flat-line is always 180°.
Answer:
C. It is the total cost of the membership fee and the tire pressure check for 12 months.
Step-by-step explanation:
The constant represents the sum of costs that are <em>not</em> "per car." Those are only "membership fee" ($50) and "tire pressure check" ($15/mo × 12 mo = $180).
