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dybincka [34]
3 years ago
6

Solve. x^2+9x+2=0 thanks!

Mathematics
1 answer:
shtirl [24]3 years ago
3 0
Step one:
ALWAYS set equation equal to zero, which in this case has already been done for us.

Step two:
Figure out what formula you need to use in order to solve in this case I'd use the Quadratic formula.

a=1
b=9
c=2

Quadratic formula:
x =  \frac{ - b +  -  \sqrt{(b) ^{2}  - 4(a)(c)} }{2(a)}
Then you would plug in the information.
x = \frac{ - 9+  -  \sqrt{(9) {}^{2} - 4(1)(2) } }{2(1)}
The solve for what is underneath the square root ONLY.
x =  \frac{ - 9 +  -  \sqrt{73} }{2}
Since you cannot solve this any further, your final two answers are...
x =   \frac{ - 9 +  \sqrt{73} }{2}
x =   \frac{ - 9 -  \sqrt{73} }{2}






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You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.7. Wit
Lina20 [59]

Answer:

0.2416

Step-by-step explanation:

P(forgot to water | dead) = P(forgot and dead) / P(dead)  

->With water it will die with probability 0.45

P(watered and dead) =0.83 x 0.45 = 0.3735

->Without water the plant will die with probability 0.7

P(forgot and dead) = (1-0.83) x 0.7 => 0.17 x 0.7 =>0.119

P(dead) =  P(watered and dead) +P(forgot and dead)

P(dead) = 0.3735 + 0.119= 0.4925

P(forgot to water | dead) =0.119 / 0.4925= 0.2416

Therefore, the probability the neighbor forgot to water the plant is 0.2416

8 0
2 years ago
HELP PLEASEEE
jeka94

The exact circumference of the circle is 7 \frac{49}{150} k m

The approximate circumference of the circle is 7.33 k m

Explanation:

The diameter of the circle is 2 \frac{1}{3} \mathrm{km}

Now, we shall find the circumference of the circle.

The formula to determine the circumference of the circle is given by

C=\pi d

Where C is the circumference , \pi is 3.14 and d=2 \frac{1}{3} \mathrm is the diameter of the circle.

The exact circumference of the circle is given by

\begin{aligned}C &=\pi d \\&=(3.14)\left(2 \frac{1}{3}\right) \\&=(3.14)\left(\frac{7}{3}\right) \\&=\frac{21.98}{3}\end{aligned}

Multiply both numerator and denominator by 100, we get,

C=\frac{2198}{300} \\C=\frac{1099}{150}

Converting \frac{1099}{150} into mixed fraction, we get,

C=7 \frac{49}{150}

Thus, the exact circumference of the circle is 7 \frac{49}{150} k m

The approximate value of the circumference can be determined by dividing the value \frac{1099}{150}

C=\frac{1099}{150}=7.327

C=7.33km

Thus, the approximate circumference of the circle is 7.33 k m

3 0
3 years ago
A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
pogonyaev

Answer:

0.75 mg

Step-by-step explanation:

From the question given above the following data were obtained:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Amount remaining (N) =.?

Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Number of half-lives (n) =?

n = t / t₁/₂

n = 6/6

n = 1

Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Number of half-lives (n) = 1

Amount remaining (N) =.?

N = 1/2ⁿ × N₀

N = 1/2¹ × 1.5

N = 1/2 × 1.5

N = 0.5 × 1.5

N = 0.75 mg

Thus, 0.75 mg of the sample is remaining.

5 0
2 years ago
Please help me with this ASAP
Digiron [165]

Answer:

270.00 divided by 32 = about $8.44

4 0
2 years ago
An archaeologist earns $9147 monthly. Determine the amount he is paid annually.
Mnenie [13.5K]
$9147 x 12 =190,764
12 is how many months there is in a year
4 0
3 years ago
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