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Afina-wow [57]
3 years ago
10

Elimination using multiplication x - y = -8 7x + 5y = 16

Mathematics
1 answer:
jekas [21]3 years ago
6 0
5x - 5y = - 40
7x + 5y = 16

2x = 24
x = 8

x - y = -8
8 - y = - 8
-y= - 16
y= 16

(8,16)
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What is the solution (x,y) to the system of equations below? -2x = 4y +6 2(2y+3) = 3x - 5
mixer [17]

Answer:

B

Step-by-step explanation:

Given the 2 equations

- 2x = 4y + 6 → (1)

2(2y + 3) = 3x - 5 → (2)

Distribute left side of (2)

4y + 6 = 3x - 5 → (2)

Substitute 4y + 6 = - 2x into (2)

- 2x = 3x - 5 ( subtract 3x from both sides )

- 5x = - 5 ( divide both sides by - 5 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (1)

- 2(1) = 4y + 6

- 2 = 4y + 6 ( subtract 6 from both sides )

- 8 = 4y ( divide both sides by 4 )

y = - 2

Solution is (1, - 2 ) → B

5 0
4 years ago
Read 2 more answers
Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research
kolbaska11 [484]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

Yes the researcher can  conclude that the supplement has a significant effect on cognitive skill

b

d =  0.5778

c

The result of this hypothesis test shows that there is sufficient evidence to  that the supplement had significant effect.The measure of effect size is  large due to the large value of Cohen's d (0.5778 > 0.30 )

Step-by-step explanation:

From the question we are told that

  The sample size is  n=16

    The sample mean is  M  =  50.2

    The standard deviation is \sigma  = 9

    The  population mean is  \mu =  45

     The level of significance is  \alpha =  0.05

The null hypothesis is H_o  \mu =45

The alternative hypothesis is H_a  \mu \ne 45

Generally the test statistics is mathematically represented as

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

=>       z =  \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }

=>       z =  2.31

Generally the p-value is mathematically represented as

     p-value  =  2 *  P(Z >  z )

      p-value  =  2 *  P(Z >  2.31 )

From the z-table  

      P(Z >  2.31 ) = 0.010444

=>     p-value  =  2 *  0.010444

=>     p-value  =  0.021

From the obtained values we see that p-value <  0.05

 Decision Rule

 Reject the null hypothesis

Conclusion

There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults

Generally the Cohen's d for this study is mathematically represented as

    d =  \frac{M  -  \mu}{\sigma }

=>  d =  \frac{50.2 -45}{9 }

=>  d =  0.5778

3 0
4 years ago
Pls help I’ll brainlest ASAP
Ket [755]
Oh yeah sweetie I love
5 0
3 years ago
Which of the following are the coordinates of the vertices of the following rectangle with base b and height h?
arsen [322]

Answer:

B 0(0,0), W (0,b), T (b,h), S (0,h)

Step-by-step explanation:

5 0
4 years ago
A x 4 = E
s2008m [1.1K]
A= 1/4E
B= 4E
C= E-4
D= E+4
A+B+C+D=100
25/4E=100
hence, E=16
4 0
4 years ago
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