1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
astra-53 [7]
2 years ago
5

The following polynomial has factors (x + 8) and (3x + 2). Determine the value of k. −6x^3-55x^2+kx−16

Mathematics
1 answer:
RoseWind [281]2 years ago
6 0

Answer:

<h2>k = - 58</h2>

Step-by-step explanation:

Since (x + 8) and (3x + 2) are factors of the polynomial it means that if either one of them is equated to zero and substituted into the polynomial will give us zero

Using x + 8

We have

x + 8 = 0

x = - 8

Substitute the value of x into the polynomial

- 6x³ - 55x² + kx - 16

That's

- 6(-8)³ - 55(-8)² + k(-8) - 16 = 0

-6(-512) - 55(64) - 8k - 16 = 0

Expand

3072 - 3520 - 8k - 16 = 0

Simplify

- 464 - 8k = 0

8k = -464

Divide both sides by 8

k = - 58

Hope this helps you

You might be interested in
Kayla walks 3 2/5 miles each day? Wich of the following statements correctly describe how far she walks? A kayla walks 14 2/5 mi
aksik [14]
B. Kayla walks 23 4/5 miles in 7 days, the reason is because there are 7 days in a week and it says, "Kayla walks 3 2/5miles each day! (KEY WORK. EACH DAY) so since there is only 7 days in a week than the answer is B. If I am wrong please correct me. Hopefully this helps!
8 0
3 years ago
Read 2 more answers
for positive acute angles A and B it is known that cos A = 40/41 and tan B = 5/12. find the value of sin(A-B) in simplest form
Oxana [17]

Answer:

33/16 hope this helps

Step-by-step explanation:

3 0
3 years ago
Daniel and Alice each earn money by babysitting. Daniel earned a total of $84 in a 5-week period. During a 6-week period, Alice
sweet [91]

Answer:12

Step-by-step explanation:

16 • 6= 96

96-84=12

4 0
2 years ago
9. Carla has $200 in her bank account.
Firdavs [7]

(a) Linear Equation:   f(x) = 200 - 20x

(b) x-intercept : (10,0)

(c) y-intercept : (0,200)

(d) Domain : {0,1,2,3,4,5,6,7,8,9,10}

    Range : {0,1,2,...,200}

Step-by-step explanation:

Step 1: As we can see in graph, money in Carla is decreasing in multiples of 20 can be referred as 20x.

Every week $20 is getting deducted from the total amount of $200.

Step 2: (a) So we can quote it in equation as,

f(x) = 200 - 20x

where x represents number of weeks

Step 3: (b) x-intercept is where value of y becomes 0.

So, referring graph we can determine x intercept as x = 10. Point (10,0). which also means no money left in account.

Step 4: (c) y-intercept is where value of x becomes 0.

So, referring graph we can determine y intercept as y = 200. Point (0,200). which is starting value of money in account.

Step 5: (d) Domain : {0,1,2,3,4,5,6,7,8,9,10}

                  Range : {0,1,2,...,200}

4 0
3 years ago
I need help with question 6​
Brums [2.3K]

Answer:ur answer is 96

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Let g(x) = -4x2 – 3x – 7. Find the following:
    14·1 answer
  • What has 2 dimensional shape and the perimeter is also known as a circumference
    15·1 answer
  • During a long road trip, you drive 420 miles on a 12-gallon tank of gas. What is your gas mileage (in miles per gallon)?
    7·1 answer
  • PLEASE HELP LIMITED TIME
    11·1 answer
  • Graph represents the function f (x) = StartFraction 5 minus 5 x squared Over x squared EndFraction?
    10·2 answers
  • Use the steps to solve the Carbon Dating Problem.
    11·1 answer
  • If a randomly selected customer was satisfied with his/her meal, what is the probability that the customer ordered fish
    15·1 answer
  • Camelle manages her soccer team. She needs to order 4 practice jerseys for each player. There are y players.
    11·2 answers
  • Please help this question​
    10·1 answer
  • I'm to lazy to do this-
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!