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mezya [45]
3 years ago
5

The solution for x2 + 2x + 8 ≤ 0 is

Mathematics
2 answers:
Marina CMI [18]3 years ago
5 0

Answer:

Please use " ^ " for exponentiation: x^2 + 2x + 8 ≤ 0.

Let's solve this by completing the square:

x^2 + 2x + 8 ≤ 0 => x^2 + 2x + 1^2 - 1^2 + 8 ≤ 0. Continuing this rewrite:

(x + 1)^2 + 7 ≤ 0

Taking the sqrt of both sides: (x + 1)^2 = i*sqrt(7)

Then the solutions are x = -1 + i√7 and x = -1 - i√7

There's something really wrong here. I've graphed your function, x^2 + 2x + 8, and can see from the graph that there are no real roots, but only complex roots. Please double-check to ensure that you've copied down this problem correctly.

Valentin [98]3 years ago
3 0

Answer:

B. The Empty Set

Step-by-step explanation:

Hope this helps!!! Have a great day!!!!   : )

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A researcher was interested in seeing how many names a class of 38 students could remember after playing a name game After playi
Andreas93 [3]

Answer:

Proportion of the students recalled more than 15 names is 91.77%.

Step-by-step explanation:

We are given that a researcher was interested in seeing how many names a class of 38 students could remember after playing a name game After playing the name game, the students were asked to recall as many first names of fellow students as possible.

The mean number of names recalled was 19.41 with a standard deviation of 3.17.

<em>Let X = number of names recalled</em>

SO, X ~ N(\mu = 19.41,\sigma^{2} = 3.17^{2})

The z-score probability distribution is given by ;

                  Z = \frac{X-\mu}{\sigma} } } ~ N(0,1)

where, \mu = mean number of names recalled = 19.41

            \sigma = standard deviation = 3.17

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, proportion of the students recalled more than 15 names is given by = P(X > 15 names)

     P(X > 15) = P( \frac{X-\mu}{{\sigma} } } > \frac{15-19.41}{3.17}  } ) = P(Z > -1.39)

                                                      = P(Z < 1.39) = 0.9177  {using z table}

<em>Therefore, proportion of the students recalled more than 15 names is </em><em>91.77%.</em>

4 0
3 years ago
What is the volume of this rectangular prism? 30.75 cm^3
Alex787 [66]

This question is incomplete. Because it lacks the diagram of the Rectangular prism. Find attached to this answer the appropriate diagram.

Answer:

295.2 cm³

Step-by-step explanation:

A Rectangular Prism is a 3 dimensional geometric shape.

The formula used to calculate the volume of the Rectangular Prism = Length × Width × Height

Length = 15cm

Height = 4.8cm

Width = 4.1cm

Volume of the Rectangular Prism = 15cm × 4.8cm × 4.1cm

= 295.2 cm³

3 0
3 years ago
I need to know what this table is cause I need the answer
olga2289 [7]

Answer:

f(- 2) = 1

Step-by-step explanation:

f(- 2) means what is the value of f(x) when x = - 2

From the table we can see that when x = - 2 f(x) = 1

Hence

f(- 2) = 1

4 0
3 years ago
Read 2 more answers
A group of cat owners was asked about the number of cats each owns. The results are shown in the frequency table. Number of Freq
Yakvenalex [24]

Answer:

Cats Owned B. 2 3

Hope I helped! :)

8 0
2 years ago
a customer buys a diiferent book that has an original selling price of $38 the books is discounted 25% the customer must pay a 6
Nimfa-mama [501]
Answer: 30.21$
Explanation:
1. 38• 0.25(25%)=28.50
2. 28.50•0.06(6)=1.71 ( the sales taxes)
3. 28.50+1.71=30.21$
Hope this helps. If it’s correct please tell me.
7 0
3 years ago
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