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Nutka1998 [239]
4 years ago
12

The first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +

2x − 9 y = −6x + 6 What are the solutions of this system of equations? (5, −24) and (3, −12) (5, 36) and (3, 24) (−5, −24) and (−3, 12) (−5, 36) and (−3, 24)
Mathematics
2 answers:
lianna [129]4 years ago
7 0
You have a system of equations \left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right..

1. Substitude right side of second equation into the left side of the first equation: -6x+6=-x^2+2x-9.

2. Solve this equation:
 x^2-2x+9-6x+6=0, \\ x^2-8x+15=0, \\ D=(-8)^2-4\cdot 1\cdot 15=64-60=4,  \\ \sqrt{D}=2,  \\ x_{1,2}=\dfrac{8\pm 2}{2  } =3,5.

3. Find y:
for x_1=3, y_1=-6\cdot 3+6=-18+6=-12,
for x_2=5, y_2=-6\cdot 5+6=-30+6=-24.

4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.


klasskru [66]4 years ago
6 0

Answer:

the answer is A. :)

Step-by-step explanation:

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A shoe manufacturer was investigating the weights of men's soccer cleats. He felt that the weight of these cleats was less than
aleksklad [387]

Answer:

 The conclusion is that the researcher was correct

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  13

    The sample mean is  \= x =  9.63

     The standard deviation is  s =  0.585

      The significance level is  \alpha  =  0.05

The Null Hypothesis is  H_o :  \mu = 0

The Alternative  Hypothesis  is  H_a =  \mu < 10

The test statistic is  mathematically represented as

          t =  \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }

Substituting values

          t =  \frac{9.63  - 10 }{\frac{0.585}{\sqrt{13} } }

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Now the critical value for \alpha is  

     t_{\alpha } = 1.645

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6 0
4 years ago
NOW PLEASE<br><br> 13 points 7 grade math
SVEN [57.7K]

Answer:

T-25=P

Step-by-step explanation:

Since we don't know the total price then we can assume its gonna be a variable so lets use "T" for the total price and then "P" for the price of the plane ticket. I'm not honestly sure if this is right but I hope it is. Sorry if i'm no help.

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allochka39001 [22]

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We can set up a linear equation in terms of x by setting amount of total salt before mixing and after mixing equal to each other.

30\%\text{ of }x+40\%\text{ of }(200-x)=37\%\text{ of }200\\0.30x+0.40(200-x)=0.37(200)\\0.30x+80-0.40x=74\\0.10x=6\\x=60

Therefore, 60 kg of 30% salt solution should be mixed with 140 kg of 40% solution.

7 0
3 years ago
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