The correct answer is option D:)
Answer:
Step-by-step explanation:
Solving for x means you have to factor. First factor out the GCF of 2 to get:
and now we'll factor using the regular old method of ac and then factoring by grouping. In our polynomial, a = 3, b = 1, c = -6. Therefore, a times c is 3 * -6 which is -18. We need some combinations of the factors of 18 that will add to give us 1, the b term in the middle. The factors of 18 are:
1, 18
2, 9
3, 6 and that's it. Hm...it seems that won't work, so let's throw this into the quadratic formula, going back to the original and a = 6, b = 2 and c = -12:
and
and
and
and
which finally simplifies to
No wonder that didn't factor using the traditional method of factoring! We could have found that out by finding first the value of the discriminant, but oh well!
Answer: Running speed is 10k/h
Biking speed is 50k/h
Step-by-step explanation:
My procedure may be unconventional, but it works:
Compute the time it takes, then translate to speed. 25k at biking speed takes 2 hours less than at running speed which is 1/5 bike speed.
Distance/speed = time 25/x=25/(5x-2) cross multiply divisors
25(5x-2) = 25x ==> 125x -50 =25x ==> 100x = 50
x = 0.5 hours at biking speed 25k/0.5h = 50k/h
Running speed = 50/5 10k/h
Proof: 25k/ 10k/h = 2.5 hours
25k /50k/h = 0.5 hours
2.5 h - .5 h = 2 hours, the difference stated in the question.
Answer:
its the top right answer choice
you'd simply just need to subtract 80 from 210 since its 10 per visit, and after 8 visits well its self explanatory
Step-by-step explanation:
its the top right answer choice
you'd simply just need to subtract 80 from 210 since its 10 per visit, and after 8 visits well its self explanatory
Answer:
The probability of getting an a in both courses is 1.27
Step-by-step explanation:
Probability of getting A in Math, P(M) = 0.6
5
Probability of getting A in Science, P(S) = 0.62
Required probability of getting A in both courses, P(M and S)
= P(M) + P(S)
= 0.65 + 0.62
= 1.27
