F(x) = x^3 + 2x^2 - x - 2
<span>f(x) = x^2(x + 2) - (x + 2) </span>
<span>f(x) = (x^2 - 1)(x + 2) </span>
<span>f(x) = (x + 1)(x - 1)(x + 2) </span>
<span>Roots: -1, 1, -2 </span>
The option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
<h3>Sequence and Series </h3>
From the question, we are to determine the option that represents the answer for pictures 6, 8, 10, and 14
In the given diagram,
The first picture requires 6 matches
The 2nd picture requires additional 5 matches
the 3rd picture requires additional 5 matches
and so on
That is
1 → 6
2 → 6 + 5 = 11
3 → 11 + 5 = 16
4 → 16 + 5 = 21
5 → 21 + 5 = 26
6 → 26 + 5 = 31
7 → 31 + 5 = 36
8 → 36 + 5 = 41
9 → 41 + 5 = 46
10 → 46 + 5 = 51
11 → 51 + 5 = 56
12 → 56 + 5 = 61
13 → 61 + 5 = 66
14 → 66 + 5 = 71
Hence, the option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
Learn more on Sequence and Series here: brainly.com/question/10321751
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<span>N + D = 55 coins (1) (N stands for nickels,
5N + 10D = 390 cents (2) D stands for dimes)
Simplify (2) by canceling the factor 5 in both sides:
N + 2D = 78 (3)
Subtract eq(1) from eq(3). You will get
D = 78 - 55 = 23.
Answer. 23 dimes and 55-23 = 32 nickels.
Check. 23*10 + 32*5 = 390 cents</span>
Step-by-step explanation:
7:8:9=<u>10.5</u>:12:<u>1</u><u>3</u><u>.</u><u>5</u>.
hope this helps you.
<em> The radius of a circle is 10 m. Find its area to the nearest whole number.</em>
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We're asked to find the area of the circle, which we can find using the following formula:-
Where:-
- π = pi [3.14...]
- r=radius (10 m)
<h3>What we need to do to find the area:-</h3>
Substitute 10 for r and 3.14 for π:-
On simplification,
On further simplification,
The Area is:-
Note:- Area is always measured in units² (units squared)
<h3>Good luck with your studies.</h3>
