∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45
Similarly,
∛(-101) = - ∛101
Now,
• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4
• 5³ = 125, so ∛101 would similarly fall between 4 and 5
So to summarize, we have
3 < ∛45 < 4 < ∛101 < 5
so that
-5 < ∛(-45) < -4 < ∛(-101) < -3
so the integer between these numbers is -4.
Answer:
The factors are (x - 1)(x - 5)(x + 2).
Step-by-step explanation:
Long division:
x - 5 )x^3 - 4x^2 - 7x + 10( x^2 + x - 2 <--------- Quotient.
x^3 - 5x^2
x^2 - 7x
x^2 - 5x
- 2x + 10
-2x + 10
...........
x^ 2 + x - 2 = (x + 2)(x - 1).
1/7 = 2/14 =
<span>
<span>
<span>
0.1428571429
</span>
</span>
</span>
1/8 = 2/16 = 0.125
2/15 =
<span>
<span>
<span>
0.1333333333
</span>
</span>
</span>
So, 2/15 is between 1/7 and 1/8
(and there are an infinite amount of numbers between 1/7 and 1/8)
Answer:
C
Step-by-step explanation:
Functions meet the vertical line test:
a vertical line will intersect the graph at most at one point
C doesn't pass the vertical line test and is therefor not a function
