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olya-2409 [2.1K]
3 years ago
11

align="absmiddle" class="latex-formula">
Solve by completing the square. Please show work, I'm really struggling to understand this.
Mathematics
1 answer:
Ronch [10]3 years ago
5 0

Answer:

Step-by-step explanation:

x^2 - 22x = 10

Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes

x^2 - 22x + (22/2)^2 = 10 + (22/2)^2

x^2 - 22x + (11)^2 = 10 + (11)^2

x^2 - 22x + (11)^2 = 10 + 121

x^2 - 22x + (11)^2 = 131

x^2 - 22x + 121^2 = 131

(x - 11)^2 = 131

Taking square root of both the left hand side and the right hand side of the equation, it becomes

x - 11 = ±√131

x - 11 = ±11.45

Adding 11 to the left hand side and the right hand side of the equation, it becomes

x - 11 + 11 = ±11.45 + 11

x = 11.45 + 11 or x = -11.45 + 11

x = 22.45 or x = - 0.45

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Answer: There is 3.994% continuous growth rate per hour.

Step-by-step explanation:

Since we have given that

Initial bacteria = 2600

After two and a half hours,

Number of bacteria = 2873

We need to find the continuous growth rate per hour.

As we know the equation for continuous growth rate per hour.

y=y_0e^{rt}\\\\2873=2600e^{2.5r}\\\\\dfrac{2873}{2600}=e^{2.5r}\\\\1.105=e^{2.5r}\\\\\text{Taking log on both the sides}\\\\\ln 1.105=2.5r\\\\0.0998=2.5r\\\\r=\dfac{0.0998}{2.5}\\\\r=0.0399\times 100\\\\r=3.994\%

Hence, there is 3.994% continuous growth rate per hour.

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3 years ago
If the Cookie Monster has 12000 cookies and splits them up among .5 friends how many cookies does each person get? There may be
liraira [26]

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Just divide 12000 by 5

7 0
3 years ago
Find the surface area of a rectangular prism measuring<br> 5 m by 8 m by 9 m.
olganol [36]
The formula of the surface area of the rectangular prism is equal:
A=2(wl+wh+lh)
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4 and 1/12 + 5 and 1/6 + 2 and 1/4
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11 and 1/2............................................
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We have the following:

\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ a=5 \\ b=0 \\ c=-80 \end{gathered}

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6 0
10 months ago
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