K² + 13k + 30 = 0
This is a quadratic equation. Let's attempt solving it by factorization.
Coefficient of k² = 1, last term = 30
Multiply these two together 1*30 = 30
We think of two numbers that multiply to give 30 and add to give the middle term 13.
The two numbers are 3 and 10.
3*10 = 30, 3 + 10 = 13.
we replace the 13k with 3k + 10k
k² + 13k + 30 = 0
k² + 3k + 10k + 30 = 0
k(k + 3) + 10(k + 3) = 0
(k + 3)(k + 10) = 0
(k + 3) = 0 or (k + 10) = 0
k = 0 - 3 or k = 0 - 10
k = -3, or -10
I hope this helps.
Answer:
See the IMAGE FOR SOLUTION
Brainlost please
Answer:
4/21
Step-by-step explanation:
since we are only talking about the first day, there are still 21 options for your teachers. there are 4 spots that you can fill, so the probability that you will be picked is 4/21
If the speed of boat in still water iss 9 mph and takes 1.5 miles to go and come 4 miles uptream and downward then the current of the river is 9.24 mph.
Given that the speed in still water be 9 mph, time to travel 4 miles upstream and downward is 1.5 hours.
We are required to find the speed of current of the river.
let the speed of current be c mph.
Effective speed in downstream=9+c
Effective speed in upstream=9-c
Total time=1.5 hours.
Total distance=4 miles.
Time for upstream stream+ time for downward stream=1.5 hours
2/(9+c)+2/(9-c)=1.5
18-2c+18+2c=1.5(9+c)(9-c)
36=1.5(81-
)
36=121.5-1.5
1.5
=121.5-36
=85.5
c=9.24 mph.
Hence the speed of the current of the river is 9.24 mph.
Learn more about speed at brainly.com/question/4931057
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Answer:
y = x+5
Step-by-step explanation:
you cant times it by anything but 1 so x then how much does it go up by 5 so y= x+5