Answer:
b. 1/2
Step-by-step explanation:
lim (x -3)(x +2)
x-->-∞ ---------------
2x^2 + x +1
= lim (x^2 -3x +2x - 6)
x-->-∞ -----------------------
2x^2 + x +1
= lim (x^2 -x - 6)
x-->-∞ -----------------------
2x^2 + x +1
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim (2x - 1) / (4x + 1)
x--->-∞
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.
Let the smaller of the two numbers be x. Therefore the larger number is 1 bigger, x+1.
We can solve this equation for x, which will be one of our two numbers.
Now that we've found x, we can find x + 1. In this case,
.
Therefore, the two numbers are 29 and 30.
I think you’re missing a picture
5x$12= 60$ so 60$per week 60$x12 = $720 for the Medium dogs.
8x14$= 112$ per week, she walked them 12 weeks. 112x12= $1344 for the large dogs.
Now take the two prices $720+$1344= $2,064
She earned a total of $2,064 from walking the dogs.
Hope this helped.
