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
For sketching a graph sketch on the line a trapezoid missing the bottom and the graph is continuous.
Answer:
y+2= -1/5(x+1)
Step-by-step explanation:
if lines are perpendicular their slopes are negative reciprocal
y=mx+b where m is the slope
y=5x-10 has the slope 5 so a perpendicular line will have slope -1/5
equation point slope form
(y-y1) = m(x-x1) where m is slope, and (x1,y1) any point that belongs to the line
y+2= -1/5(x+1)
Answer:
-2
Step-by-step explanation:
to find the slope from to points you can follow this equation
m=y2-y1 / x2-x1
so plug in the points
1-3/ 1-0
-2/1
-2
Answer:
Step 2: He should have added 3 to, rather than subtracting 3 from, both sides.
Step-by-step explanation:
1. Combine like terms: 6b − 3 = −21
2. Subtraction property of equality: 6b = −24
Here he has to add 3 on both sides, to isolate the variable term.
Therefore, answer is Step2) He should have added 3 to, rather than subtracting 3 from, both sides.
Hope this will helpful.
Thank you.
