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Licemer1 [7]
2 years ago
13

5x + 4y = 17 Y - x = 2 x = y = please help

Mathematics
1 answer:
Tasya [4]2 years ago
5 0
I will solve this equation simultaneously by Substitution.

- x + y = 2
5x + 4y = 17

Solve - x + y = 2 for y:
- x + y + x = 2 + x (here we add x to both sides)
y = x + 2

Substitute x + 2 for y in 5x + 4y = 17
5x + 4y = 17
5x + 4(x + 2) = 17
5x + 4x + 8 = 17
9x + 8 = 17 (simplify both sides of the equation)
9x + 8 + (-8) = 17 + (-8) (add -8 to both sides)
9x = 9
9x/9 = 9/9 (divide both sides by 9)

x = 1

Substitute 1 for x in y = x + 2
y = x + 2
y = 1 + 2
y = 3 ( simplify both sides of the equation)

Therefore x = 1 and y = 3


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Simplify (2t)(3t)(t^2)
s2008m [1.1K]

Answer:

6t

Step-by-step

<h2>2t x 3 + x 1t = 6t x 1t = 6t</h2>
7 0
2 years ago
What is the value of x in the equation 3 minus 2 x = negative 1.5 x? –6 –2 2 6
olga_2 [115]

Answer:

x=118.25

Step-by-step explanation:

3−2x=−1.5−6−226

3+−2x=−1.5+−6+−226

−2x+3=(−1.5+−6+−226)(Combine Like Terms)

−2x+3=−233.5

−2x+3=−233.5

Step 2: Subtract 3 from both sides.

−2x+3−3=−233.5−3

−2x=−236.5

Step 3: Divide both sides by -2.

−2x

−2

=

−236.5

−2

x=118.25

4 0
3 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
3 years ago
One angle of an isosceles triangle measure 30*. Which other angles could be in that isosceles triangle? Choose all that apply.
Elodia [21]

Answer: 75 degrees

Step-by-step explanation:

75+75+30=180

5 0
2 years ago
Number 19 Plz help.
Viktor [21]

Answer:

The scaled side says 1.875 mi

Step-by-step explanation:

7 0
2 years ago
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