Answer:
1. 16
2. -4
Step-by-step explanation:
First factor the expression
lim x→1 (x^3 + 5x^2 + 3x-9)/(x-1)
lim x→1 (x-1) (x+3)^2/(x-1)
Canceling the x-1 in the top and bottom
lim x→1 (x+3)^2
Let x=1
lim x→1 (1+3)^2 = 4^2 = 16
2. lim x→0 (x^2 -6x+8) /(x-2)
First factor the expression
lim x→0 (x-4) (x-2) /(x-2)
Canceling the x-2 in the top and bottom
lim x→0 (x-4)
Let x=0
lim x→0 (0-4) = -4
Filling in the table
x -.1 -.01 -.001 .001 .01 .1
f(x) -4.1 -4.01 -4.001 -3.999 -3.99 -3.9
Answer:
Larissa takes 59.141 seconds to complete both laps.
Step-by-step explanation:
The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:
(i) <em>She completes her first lap in 31.135 seconds</em>:
(ii) <em>She completes her second lap 3.129 seconds faster than the first lap</em>:
Then, the time taken by Larissa to complete both laps is:
Larissa takes 59.141 seconds to complete both laps.
Answer: 24 plants
Step-by-step explanation:
1000 is not a perfect square.
31^2 < 1000 < 32^2
Required no. of trees = 32^2 − 1000
= 1024 − 1000
= 24
The answer is D. -15 because I am assuming that the vertical lines mean brackets, and we have to work out the brackets first (according to BIDMAS). Doing so, -6 + 2 = -4 and -4 + -11 = -15.
