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Inessa05 [86]
3 years ago
9

Find the discriminant and the number of real roots for this equation. x2 + 2x + 8 = 0

Mathematics
2 answers:
m_a_m_a [10]3 years ago
5 0
Your discriminant is a negative number.  Therefore, your solutions are imaginary.  It's d from above.
Tamiku [17]3 years ago
3 0

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

x^2+2x+8=0

We will first find the "Discrimination":

D=b^2-4ac\\\\D=2^2-4\times 8\\\\D=4-32\\\\D=-28

Since discriminant is less than 0 i.e. D<0.

So, there will no real roots.

Hence, D = -28 and there is no real roots.

Therefore, Option 'D' is correct.

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Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
mezya [45]

Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

7.2b + 6.5 > 4.8b – 8.1.

Amelia started by subtracting 7.2b from both sides to get

6.5 > –2.4b – 8.1

Correct

Luis started by subtracting 4.8b from both sides to get

2.4b + 6.5 < – 8.1

Incorrect

Shauna started by subtracting 6.5 from both sides to get

7.2b > 4.8b – 14.6

Correct

Clarence started by adding 8.1 to both sides to get

7.2b + 14.6 > 4.8b

Correct

Luis’s is incorrect because he flipped the inequality sign when he subtracted

6 0
3 years ago
What value is equivalent to 32 · 43?
Yuri [45]

Answer:

1376

Step-by-step explanation:

32 · 43 = 32 x 43

=> 32 x 43 = 1376.

Therefore, 1376 is our answer.

Hoped this helped.

5 0
3 years ago
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Please help me with these problems!! (Photos)
valina [46]
Okay I know how to do this, first set it up as
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8 0
3 years ago
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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California.
pishuonlain [190]

Answer:

The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28*\frac{12.5}{\sqrt{3839}} = 0.3

The lower end of the interval is the sample mean subtracted by M. So it is 21.6 - 0.3 = $21.3.

The upper end of the interval is the sample mean added to M. So it is 21.6 + 0.3 = $21.9.

The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.

7 0
3 years ago
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What is the answer for 3·(-5)=
rewona [7]
3 x 5 = 15
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7 0
4 years ago
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