Answer:
n<2
Step-by-step explanation:
3n+1 < 7
3n + 1 + (-1) < 7 +(-1)
3n < 6
(3n)/3< 6/3
n < 2
Hope this helps!!!
Answer:
The rabbit is faster, as it has a speed of 44 mph.
Step-by-step explanation:
Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.
In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.
Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.
Formula of Area of triangle.... A=1/2bh where A is area, b is the base, and h is height.
h= 3b-1
Area=12
At this point you want to plug in what you know into the equation.
12=1/2b(3b-1)
Then you can solve for b. First multiply each side by 2 to cancel the fraction.
24=b(3b-1)
Then distribute the b term.
24=3b^2 - b
Then set the equation equal to zero.
0=3b^2-b-24
Then either factor or use the quadratic equation to solve for b.
0=(3b-8)(b-3)
which means that b=3 and b=8/3
You then plug both answers back into the original equation (12=1/2b(3b-1))and see if there are any extraneous solutions. When you do, you can see that 8/3 as an answer does not equal 12. Therefore, the correct answer and the base of the triangle is equal to 3.