The graph shows two lines, A and B.
2 answers:
<h2>Answer:</h2>
There is one/unique solution to the pair of equations for line A and line B.
<h2>Step-by-step explanation:</h2>We know that the equation of a line in slope intercept form is given by:
y= mx+b
where m is the slope of the line and b is the y-intercept of the line.
The <u>graph A:</u>
Line A has a slope of negative 1 and crosses the y axis at 5.
i.e. the slope of line i.e. m= -1
and y-intercept of line i.e. b=5
Hence, the equation of line A is:
y= -x+5
<u>Graph B:</u>
Line B has a slope of positive 1 and crosses the y axis at 3.
i.e. m=1
and b=3
Hence, the equation of line B is:
y=x+3
Now from the graph of these two lines we see that the system of lines intersect at just one point.
Hence, there is just one solution for the pair of equations.
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<h2><u>Answer with explanation</u>:</h2>
Let be the distance traveled by deluxe tire .
As per given , we have
Null hypothesis :
Alternative hypothesis :
Since is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.
Test statistic :
where, n= sample size
= sample mean
= Population mean
=sample standard deviation
For , we have
By using z-value table,
P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23) [∵P(Z≤-z)=1-P(Z≤z)]
=1-0.9871=0.0129
Decision : Since p value (0.0129) < significance level (0.05), so we reject the null hypothesis .
[We reject the null hypothesis when p-value is less than the significance level .]
Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.
times both sides by 2x
x(x+2)=2(4)
x²+2x=8
minus 8 both sides
x²+2x-8=0
factor
what 2 numbers multiply to -8 and add to 2
-2 and 4
(x-2)(x+4)=0
set to zero
x-2=0
x=2
x+4=0
x=-4
x=-4 and 2