Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
Answer:
The probability that he will score 1 point is 85.56%
Step-by-step explanation:
Mat will make 2 shots, and he has to score 1.
So, we are looking for the probability of score in the first shot or in the second.
Both probabilities are 62%
P(1 or 2) = P(1) + P(2) - P(1 AND 2)
P(1 AND 2)= P(1) x P(2)= 0.62 x 0.62=0.3844
P(1 or 2) = 0.62 + 0.62 -0.3844
P(1 or 2) = 0.8556
d=rt
300=r4.5
divide both sides by 4.5
66 and 2/3=r
the rate is 66 and 2/3mph
p=2(l+w)
90=2(20+w)
divide both sides by 2
45=20+w
minus 20 both sides
15=w
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