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Tasya [4]
3 years ago
10

When factoring 16x2 -

Mathematics
1 answer:
rewona [7]3 years ago
8 0

Answer:

we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

Step-by-step explanation:

16x^2\:-36

As 4 is the greatest common factor of the expression, so factor out common term 4:

i.e.

16x^2\:-36=4\left(4x^2-9\right)

Thus, the first step is to find the greatest common factor (GCF)

Now, solving the remaining portion

16x^2\:-36=4\left(4x^2-9\right)

as (2x+3) and (2x-3) are the factors of (4x²-9)

i.e. (4x²-9) = (2x+3) (2x-3)

Thus, the expression becomes

16x^2\:-36=4\left(2x+3\right)\left(2x-3\right)

Therefore, we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

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An initial investment of $350 is worth $429.20 after six years of continuous compounding. Find the
ValentinkaMS [17]

Answer:

Interest Rate : 0.0346 or 3.46%

Step-by-step explanation:

• 429.2=350*(1+x)^6

• 429.2/350= (1+x)^6

•(429.2/350)^(1/6)= 1+x

•(429.2/350)^(1/6)-1= x

Check work:

350*(1+0.0346)^6=429.2

4 0
3 years ago
The lengths of nails produced in a factory are normally distributed with a mean of 3.34 centimeters and a standard deviation of
Shtirlitz [24]

Answer:

3.47 and 3.21

Step-by-step explanation:

Let us assume the nails length be X

X \sim N(3.34,0.07^2)

Value let separated the top 3% is T and for bottom it would be B

P(X < T)= 0.97

Now converting, we get

P(Z < \frac{T-3.34}{0.07})= 0.97

Based on the normal standard tables, we get

P(Z < 1.881)= 0.97

Now compare these two above equations

\frac{T-3.34}{0.07} = 1.881 \\\\ T = 1.881 \times 0.07 + 3.34 \\\\ = 3.47

So for top 3% it is 3.47

Now for bottom we applied the same method as shown above

P(Z < \frac{B-3.34}{0.07})= 0.03

Based on the normal standard tables, we get

P(Z < -1.881)= 0.03

Now compare these two above equations

\frac{B-3.34}{0.07} = -1.881

= -1.881 \times 0.07 + 3.34 \\\\ = 3.21

hence, for bottom it would be 3.21

7 0
3 years ago
Find the slope and the y- intercept of the line
Rashid [163]
Standard form of a line is Y=mX+b

where m is slope

4x+2y=-6
2y=-4x-6
y=- 2x - 6

m= - 2 and y intercept is b=-6
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Answer: s = 8

Step-by-step explanation:

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3 years ago
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