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maxonik [38]
2 years ago
10

What are two numbers that add together to make -7 and that multiply to make 6

Mathematics
2 answers:
Virty [35]2 years ago
7 0

Answer:

These two numbers are <em>-1 and -6 </em>respectively.

Step-by-step explanation:

Suppose first number is x and the second number is y.

Then according to question-

( x + y ) = -7 ..............................(i)

x × y  =  6 ................................(ii)

As we know that-

<em>(x - y)^{2} =  (x + y )^{2}  - 4 x y .......................(iii)</em>

Now, Putting values of equation (i), (ii)  in equation (iii)-

We get,

( x - y )^{2} =  ( - 7 )^{2}  - 4 × 6

( x - y )^{2} = 49 - 24

( x - y )^{2}  = 25

( x - y ) = \sqrt{25}

( x - y ) = 5<em>..........................(iv)</em>

After adding equation (i) and (iv)-

( x + y ) = -7

<u>( x - y ) =  5</u>

<u> 2 x = -2</u>

x = -2 /2

<em>x = -1 </em>

Now put x = -1 in equation (i)-

We get,

y = -7 - x

y = -7 - (- 1)

y = - 7 + 1

y = -6

        <em>Hence the both numbers x and y are -1, -6 respectively.</em>

kumpel [21]2 years ago
4 0
-2 and -4 this is the answer
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Step-by-step explanation:

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According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next j
Ahat [919]

Complete Question

According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next job (June, 2008). Suppose you want to show that Louisiana has been effective in getting their unemployed back to work sooner. You take a random sample of 50 citizens who were unemployed six months earlier and ask them to report the duration. You find that the average time spent unemployed was 13.4 weeks with a sample standard deviation of the time unemployed is 6.7 weeks.

1 Which of the following statements is the correct alternative hypothesis?

2 The test statistic for testing the hypothesis is

a. -2.64

b. -2.32

c. -2.11

d. -1.28

e. none of these are correct

Answer:

1  

 The  alternative hypothesis  H_a  :  \mu < 15.9

2

The  test statistics z =  -2.64  

Step-by-step explanation:

From the question we are told that

     The population  mean value for time  citizens remain unemployed is  \mu  =  15.9 \  weeks

     The  sample size is  n =  50

     The  sample standard deviation is  6.7 weeks.

      The  sample mean value for time  citizens remain unemployed is  \mu  =  15.9 \  weeks

       

     The  null hypothesis is  H_o  :  \mu \ge 15.9

      The  alternative hypothesis  H_a  :  \mu < 15.9

Generally test statistics is mathematically represented as

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

=>    z =  \frac{13.4 - 15.9}{\frac{6.7}{\sqrt{50}}}

=>     z =  -2.64  

   

7 0
3 years ago
Two quantities, Pand Q, are connected by
frez [133]

Answer:

P = 0.5Q - 20

Step-by-step explanation:

P = kQ + c

substitute Q = 60 , P = 10 into the equation

10 = 60k + c → (1)

substitute Q = 240, P = 100 into the equation

100 = 240k + c → (2)

subtract (1) from (2) term by term to eliminate c

90 = 180k ( divide both sides by 180 )

\frac{90}{180} = \frac{1}{2} = 0.5 = k

substitute k = 0.5 into (1) and solve for c

10 = 60(0.5) + c

10 = 30 + c ( subtract 30 from both sides )

- 20 = c

then

P = 0.5Q - 20

8 0
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