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yaroslaw [1]
2 years ago
15

Which are the solutions of x2 = –13x – 4? 0, 13 0, –13

Mathematics
2 answers:
MrRissso [65]2 years ago
8 0

Answer:

Option 3 and 4 - 0,-13

Step-by-step explanation:

Given : Expression x^2=-13x-4

To find : What are the solutions?

Solution :

The quadratic formula of the quadratic equation ax^2+bx+c=0 is

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Comparing with general equation, x^2+13x+4=0

where, a=1 ,b=13, c=4

Substitute in the formula,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-13\pm\sqrt{13^2-4(1)(4)}}{2(1)}

x=\frac{-13\pm\sqrt{169-16}}{2}

x=\frac{-13\pm\sqrt{153}}{2}

x=\frac{-13+\sqrt{153}}{2},\frac{-13-\sqrt{153}}{2}

The value of x is x=-0.315,-12.68

Approximately the solution of the expression is x=0,-13.

masha68 [24]2 years ago
3 0
It's defiantly not C. I made a 90%  but missed this question. I hope this helps you cross it down.  My next guess would be D.

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Therefore 4225=s^2

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√4225=√s^2

Therefore s=65

Each side is 65ft

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2 years ago
Barrett works at an ice cream shop. The function f(x) represents the amount of money PLEASE HELP!!!!!!!!!!!!!
oee [108]

Answer:

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Step-by-step explanation:

Here we have two functions:

f(x)=2x^2 +4

This function represents the amount of money (the earning) per unit x

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g(x)=\sqrt{3x^3}

which represents the number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works.

Here we want to find the composite function

f(g(x))

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7 0
2 years ago
Find the first partial derivatives of the function. (sn = x1 + 2x2 + ... + nxn; i = 1, ..., n. give your answer only in terms of
liq [111]

Answer:

  ∂u/∂xi = i·cos(sn)

Step-by-step explanation:

For u = sin(v), the partial derivative of u with respect to xi is ...

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In this case, v=sn, and ∂sn/∂xi = i, so the derivatives of interest are ...

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A sample of bacteria is being eradicated by an experimental procedure. The population is following a pattern of exponential deca
77julia77 [94]

Answer:

There will be 50 bacteria remaining after 28 minutes.

Step-by-step explanation:

The exponential decay equation is

N=N_0e^{-rt}

N= Number of bacteria after t minutes.

N_0 = Initial number of bacteria when t=0.

r= Rate of decay per minute

t= time is in minute.

The sample begins with 500 bacteria and after 11 minutes there are 200 bacteria.

N=200

N_0 = 500

t=11 minutes

r=?

N=N_0e^{-rt}

\therefore 200=500e^{-11r}

\Rightarrow e^{-11r}=\frac{200}{500}

Taking ln both sides

\Rightarrow ln| e^{-11r}|=ln|\frac{2}{5}|

\Rightarrow {-11r}=ln|\frac{2}{5}|

\Rightarrow r}=\frac{ln|\frac{2}{5}|}{-11}

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50=500e^{-\frac{ln|\frac25|}{-11}.t}

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\Rightarrow t= \frac{ln|\frac{1}{10}|}{\frac{ln|\frac25|}{11}.}

\Rightarrow t= \frac{11\times ln|\frac{1}{10}|}{{ln|\frac25|}}

\Rightarrow t\approx 28 minutes

There will be 50 bacteria remaining after 28 minutes.

3 0
2 years ago
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