Answer:
k = –10
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of K =?
Next, we shall obtained the value of x from x + 2. This is illustrated below:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2
Finally, we shall determine the value of k as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Thus,
f(–2) = 0
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10
Thus, the value of k is –10
The picture is kind of blurry could you please take a clearer one?
21 3/16...as a decimal
the 21 is a whole number and goes to the left of the decimal....and the fraction 3/16 goes to the right of the decimal.
3/16 = 0.1875....now add ur 21 and u get 21.1875 inches wide
2 3/8....as a decimal
3/8 = 0.375....now put ur 2 in there and it becomes 2.375 inches thick
Answer:
y = 1/5x - 11
Step-by-step explanation:
perpendicular to a line means we flip the slope to opposite of what it is
in other wrds, since your slope is -5, your new slope for the line perpendicular to it would be 1/5.
Now we just use the same equation to find the y-intercept, which is b.
y = mx + b; m is your slope and b is your y intercept.
use the points given; (5, -10).
-10 = 1/5(5) + b
-10 = 1 + b
-11 = b
now put your equation together since you have all the pieces
y = 1/5x - 11
I believe you can do 1,245 divided by 65 to find out how many puzzles they can buy I may be wrong :/
