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polet [3.4K]
3 years ago
12

It says write an equation of the line shown and the line goes through points 4,3 and 1,-3

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0
Slope of the line;
slope=\frac{change in y}{change in x}
Slope=\frac{3--3}{4-1}
Slope,m =\frac{6}{3} =2
y=mx+c
y=2x+c
Replacing for x and y using point (4,3)
3=2(4)+c
3=8+c
c=3-8
c=-5
y=2x-5
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Solve for x: 6 over quantity x equals 4 over 8
Illusion [34]

Answer:

X = 12

MARK ME BRAINLIEST!!

8 0
3 years ago
Find two numbers with a sum of 20 and a difference of 14
sergey [27]

Find two numbers with a sum of 20 and a difference of 14


Make two equations

X+Y=20

X-Y=14


Now add x since y cancels out and add 20+14 To end up with

2x=34


Now divide 2 both sides to get x alone

2x/2=34/2


X=17


Now substitute x answer to first equation and solve for y

17+y=20


Subtract 17 both sides

Y= 3

Your two numbers are

3 and 17

4 0
3 years ago
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
The sum of two numbers is -149. One number is 5 less than the other. Find the numbers
PSYCHO15rus [73]

Answer:

-72 and -77

Step-by-step explanation:

-149 divided by 2 is 74.5 and sense we want a 5 difference we divide 5 by 2 to get 2.5 the we take 74.5 and add 2.5 to get - 72 and take 74.5 and subtract 2.5 to get -77.

6 0
3 years ago
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Evaluate n + 11 for n = 3.<br><br> A: 331<br> B: 33<br> C: 14<br> D: 8
andriy [413]
The answer is 14. if n equals 3 and you use the equation instead of n. 3+11 that would equal 14
C is the answer
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7 0
3 years ago
Read 2 more answers
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