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3 years ago

What are the zeros of the function f(x) = x2 + 8x + 4, expressed in simplest radical form?

Mathematics

2 answers:

Over [174]3 years ago

8 0

Answer:

x = –4 ± 2 $\sqrt{3}$

Step-by-step explanation:

Katyanochek1 [597]3 years ago

3 0

Answer:

Step-by-step explanation:

assuming it is $x^{2} +8x+4$

Using Quadratic formular -

a - 1

b - 8

c - 4

$x= \frac{ -8 -,+ \sqrt{(8^2) - 4 (1)(4)}}{2(1)} \\\\$

$x = \frac{-8 +,- \sqrt{48} }{2}\\\\$

$x = \frac{-8+,- 4\sqrt{3} }{2}$

$x = {-4+,- 2\sqrt{3} }$

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Use the divergence theorem to find the outward flux of the vector field F(x,y,z)=2x2i+5y2j+3z2k across the boundary of the recta

aksik [14]

Answer:

The answer is "120".

Step-by-step explanation:

Given values:

$F(x,y,z)=2x^2i+5y^2j+3z^2k \\$

differentiate the above value:

$div F =2 \frac{x^2i}{\partial x}+5 \frac{y^2j}{\partial y}+3 \frac{z^2k }{\partial z} \\$

$= 4x+10y+6z$

$\ flu \ of \ x = \int \int div F dx$

$= \int\limits^1_0 \int\limits^3_0 \int\limits^1_0 {(4x+10y+6z)} \, dx \, dy \, dz \\\\ = \int\limits^1_0 \int\limits^3_0 {(4xz+10yz+6z^2)}^{1}_{0} \, dx \, dy \\\\ = \int\limits^1_0 \int\limits^3_0 {(4x+10y+6)} \, dx \, dy \\\\ = \int\limits^1_0 {(4xy+10y^2+6y)}^3_{0} \, dx \\\\ = \int\limits^1_0 {(12x+90+18)}\, dx \\\\= {(12x^2+90x+18x)}^{1}_{0} \\\\= {(12+90+18)} \\\\=30+90\\\\= 120$

6 0

3 years ago

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irinina [24]

Since that is a triangle the expression would be b x h / 2. So 12*12 = 144 / 2 = 72. The answer is 72.

8 0

3 years ago

Idk so help pls<br>10 point

IceJOKER [234]

Answer:

30 milk chocolates

Step-by-step explanation:

42 ÷ 7 = 6 - a fraction of the chocolates

6 x 5 = 30 - the milk chocolates (7+5 = 12 which is the whole fraction).

4 0

3 years ago

PLZZZZZZ HELPPP ME!!!! Which of the following could be used as a justification that 3x^2+10-8 is not prime over the set of ratio

butalik [34]

Answer: the awnser is c

Step-by-step explanation:

8 0

3 years ago

The length of time that an auditor spends reviewing an invoice is approximately normally distributed with a mean of 600 seconds

Bumek [7]

Answer: 11.5%

Explanation:

Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds.

Now, we get the z-score for 720 seconds by the following formula:

$\text{z-score} = \frac{x - \mu}{\sigma}$

where

$t = \text{time for the auditor to finish his work } = 720 \text{ seconds}
\\ \mu = \text{average time for the auditor to finish his work } = 600 \text{ seconds}
\\ \sigma = \text{standard deviation } = 100 \text{ seconds}$

So, the z-score of 720 seconds is given by:

$\text{z-score} = \frac{x - \mu}{\sigma}
\\
\\ \text{z-score} = \frac{720 - 600}{100}
\\
\\ \boxed{\text{z-score} = 1.2}$

Let

t = time for the auditor to finish his work
z = z-score of time t

Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:

$P(t \ \textgreater \ 720) 
\\ = P(z \ \textgreater \ 1.2)
\\ = 1 - P(z \leq 1.2)
\\ = 1 - 0.885
\\ \boxed{P(t \ \textgreater \ 720) = 0.115}$

Hence, there is 11.5% chance that the auditor will spend more than 12 minutes in an invoice.

8 0

3 years ago