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bazaltina [42]
4 years ago
10

Which are the solutions of x^2 = -13x – 4?

Mathematics
1 answer:
Pani-rosa [81]4 years ago
7 0

Answer:

Step-by-step explanation:

Rewrite this equation in standard quadratic form:  x^2 + 13x + 4 = 0.

Here the coefficients are 1, 13 and 4, so the discriminant is

b^2-4ac, or 169 - 4(1)(4) = 153

Since the discriminant is + there are two real, unequal roots.  They are:

       -13 ± √153

x =  ------------------

            2

x = ----------------

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The correct answer would be 9%
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3 years ago
How can you write 52+(8+25)to make it easier to add?
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,52+(8+25)
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Read 2 more answers
An analytical laboratory is asked to evaluate the claim that the concentration of the active ingredient in a specimen is 86%. Th
Olenka [21]

Answer:

Decision rule

   Reject null hypothesis

Conclusion

There is significance evidence that the true mean is different from 0.86

Step-by-step explanation:

From the question we are told that

  The population mean   \mu  = 0.86

   The  sample is  mean is \=  x  =  0.8708

  The standard deviation is  \sigma =  0.0068

The  level of significance is  \alpha  =  0.01

  The  sample size n =  3

The null hypothesis is  \mu =  0.86

The alternative hypothesis  is \mu \ne  0.86

Generally the test statistics is mathematically represented as  

    z =  \frac{\=  x  - \mu }{ \frac{\sigma}{\sqrt{n} } }

=> z =  \frac{ 0.8708 - 0.86 }{ \frac{0.0068}{\sqrt{3} } }

=>  z =  2.751  

Generally  p- value is mathematically represented as

       p-value =  2 P(z >2.751   )

From the z-table  

        P(z >2.751 ) =  0.0029707

So

     p-value =  2 *  0.0029707

=>   p-value =  0.00594

From the obtained question we see that  p-value  <  \alpha

Hence we reject the null hypothesis

 

6 0
3 years ago
Pls give me the correct answer.
Jobisdone [24]

Answer:

2,7,9,11,12

and

v≤−12

hope this helps ! :)

3 0
3 years ago
Find the slope of the line that passes through (3, 2) and (7,5)
Bas_tet [7]

Answer:

\frac{3}{4}

Step-by-step explanation:

Slope is equal to the change in y over the change in x.

m =  \frac{change \: in \: y}{change \: in \: x}

The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates .

m =  \frac{y2 - y1}{x2 - x1}

Substitute in the values of x and y into the equation to find the slope.

m =  \frac{5 - (2)}{7 - (3)}

Simplify.

m =  \frac{3}{4}

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>slope</u><u> </u><u>is</u><u> </u><u>3</u><u>/</u><u>4</u><u>.</u>

6 0
3 years ago
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