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Margaret [11]
3 years ago
5

Solveby factoring : p2 + 8p + 12 = 0 (show steps please)

Mathematics
1 answer:
kramer3 years ago
8 0

Answer:

(p + 6)(p + 2)

Step-by-step explanation:

I believe you meant  p^2 + 8p + 12 = 0, in which " ^ " indicates exponentiation.

Note that 12 = 2*6, and that these two factors, 2 and 6, add up to 8.  Thus,

p^2 + 8p + 12 = 0 = (p + 6)(p + 2)

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What is the explicit formula for the sequence 10, 15, 22.5, 33.75, …?
Flura [38]

Answer:

Step-by-step explanation:

Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.

10x = 15 and

x = \frac{15}{10}=\frac{3}{2} If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:

15(\frac{3}{2})= \frac{45}{2}=22.5 Good. So the common ratio is 3/2. The formula for an explicit geometric formula is

A_n=a_1(r)^{n-1 where a1 is the first number in the sequence and r is the common ratio. Filling in:

A_n=10(\frac{3}{2})^{n-1

8 0
3 years ago
A 14 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1092. Find the substance's half-
nignag [31]

Answer:

t = 6.3

Step-by-step explanation:

N=Noe^(-kt)

No = 14 grams

k = .1092

We want to find t when N = 7 or 1/2 of 14

N=Noe^(-kt)

7 = 14 e ^ (-.1092t)

Divide each side by 14

1/2 = e ^ (-.1092t)

take the natural log of each side

ln (1/2) = ln e ^ (-.1092t)

ln (1/2) = -.1092t

Divide each side by -.1092

ln (1/2)/ -.1092 = t

t≈6.3475

Rounding to the nearest tenth

t = 6.3

5 0
3 years ago
Help please <br> Brainiest answer to whoever is first <br> Show work if you can
aalyn [17]

Answer:

114

Step-by-step explanation:

19x6=114

6 0
3 years ago
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VARVARA [1.3K]
The answer is 308 by multiple
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How do I solve 5x - 4 = -19
ira [324]
Undo what has been done to the variable. That means to do the opposite done to the variable.
5x-4=-19
+4=+4
5x=-15
5 is being multiplied to the variable so you divide it from both sides.
x=-3
7 0
3 years ago
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