Evaluate the function f(x) at the given numbers (correct to six decimal places). f(x) = x2 − 7x x2 − 6x − 7 , x = 0, −0.5, −0.9, −0.95, −0.99, −0.999, −2, −1.5, −1.1, −1.01, −1.001 f(0) = f(−0.5) = f(−0.9) = f(−0.95) = f(−0.99) = f(−0.999) = f(−2) = f(−1.5) = f(−1.1) = f(−1.01) = f(−1.001) = Guess the value of the limit of f(x) as x approaches −1, correct to six decimal places. (If an answer does not exist, enter DNE.) lim x→−1 x2 − 7x x2 − 6x − 7 =

Step-by-step explanation:

From the given information:

We are given the function:

when x = 0;

f(0) = 0

when x = -0.5

when x = -0.9

when x = -0.95

when x = -0.99

when x = -0.999

when x = -2

when x = -1.5

when x =  -1.1

when x = -1.01

when x = -1.001

So, if we make a table to show the correlation for the values of  x and corresponding f(x) and also include the value of -1 whose limit of f(x) is unknown, we have;

x          0       -0.5       -0.9       -0.95        -0.99         -0.999       -1

f(x)       0       -1            -9        -19               -99               -999       ????

x         -1.001        -1.01              -1.1              -2

f(x)       1001           101               11                 2

From the table above, we can see that for x values ranging from 0 → 999, f(x) values decline from 0 to ∞, while f(x) values increase from -2 →  -1.001 towards ∞.

As the value of (x) declines from left to right and increases from right to left towards -1, we may assume that f(x) reaches - ∞ and + ∞, accordingly.

∴

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m