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
Answer:
Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.
Step-by-step explanation:
Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.
The weight of 1 bag of dog food = 
The weight of 40 bags of dog food = 
Each pallet weighs = 1500 pounds
2 pallets weighs = 1500×2=3000 pounds.
We know that 2000 pounds = 1 ton
Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.
Answer:
t = 
Step-by-step explanation:
Given
D = M + Mrt ( subtract M from both sides )
D - M = Mrt ( divide both sides by Mr )
= t
Answer:
Below.
Step-by-step explanation:
To find the number of students in each grade you multiply the marks by the frequency density. The number of students is given by the area under the rectangles.
So to find the number of students with grade U (< 160) it is:
120 * 0.2 + 40*0.5
= 24 + 20
= 44.
The number for Grade E
= (200 - 160) * 0.5
= 40 * 0.5
= 20.
The others can be found in the same way.
Answer:
OPTION 4
Step-by-step explanation:
Let the three consecutive numbers be n, (n + 1) and (n + 2).
Note that the largest number of the three is (n + 2) and the smallest is n.
So, according to the given data, the sum of all the three integers is equal to 1 more than twice more than the largest number.
Writing it mathematically, we have:
n + (n + 1) + (n + 2) = 12 + 2(n + 2)
This is OPTION (4) and is the answer,
