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
Maslowich
2 years ago
9

The value of k such that (x-5) divides the polynomial p(x)= x^3-6x^2+kx+30 exactly,is

Mathematics
1 answer:
mixas84 [53]2 years ago
3 0

Answer:

k = - 1

Step-by-step explanation:

If (x - 5) is a factor of p(x) then p(5) = 0

p(5) = 5³ - 6(5)² + 5k + 30 = 0 , that is

125 - 150 + 5k + 30 = 0

5 + 5k = 0 ( subtract 5 from both sides )

5k = - 5 ( divide both sides by 5 )

k = - 1

You might be interested in
here is another one that i need help on What number represents the same amount as 7 hundreds + 0 tens + 100 ones
Stels [109]
7 hundreds= 7x100=700
100 ones= 100x1= 100

700+100=800

answer= 800.

hope this helps:)
8 0
3 years ago
Read 2 more answers
(-10,2) (-5,-1) find mid point
zmey [24]

The Mid - point of the line segment is at coordinates -  M(- 7.5, 0.5)

We have two coordinate points -  A(- 10, 2)  and  B(- 5, -1)

We have to find the midpoint of this line AB.

<h3>What is Mid - Point Theorem?</h3>

It states that a line with endpoint coordinates as - (x_{1} ,y_{1} ) and (x_{2} ,y_{2} ) has its mid - point at the coordinates -

(x_{M} ,y_{M} ) =( \frac{x_{1} +x_{2} }{2} , \frac{(y_{1} +y_{2} )}{2} )

According to question, we have -

First coordinate Point -  (x_{1} ,y_{1} ) = (- 10, 2)

Second coordinate Point - (x_{2} ,y_{2} ) = (- 5, - 1)

Using the Mid - Point formula, we get -

(x_{M} ,y_{M} ) =( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} ) =

x_{M} = \frac{-10-5}{2} = \frac{-15}{2} = - 7.5\\\\y_{M} = \frac{2 - 1}{2}  = \frac{1}{2} = 0.5

Hence, the Mid - point of the line segment is at coordinates -

M(- 7.5, 0.5)

To solve more questions on Mid - points, visit the link below -

brainly.com/question/25377004

#SPJ1

5 0
1 year ago
What does 1,000,000,000divided by 18 • 20 - 108 equal?
Ludmilka [50]

Answer:

3,968,253.968253968

Step-by-step explanation:

7 0
3 years ago
How do you write 0.0006363 in scientific notation?
Wewaii [24]

Answer:

Step-by-step explanation:

Proper scientific notation means that there is only 1 number to the left of a decimal and everything else to the right of it. Also, because the number is initially less than 1, the exponent will be a negative one. We have to move the decimal 4 places to the right in order to get the 6 to the left of it, so in correct scientific notation format, we have

6.363*10^{-4

5 0
2 years ago
100 students attended a revision lesson at the weekend.
solniwko [45]

Answer:

I am pretty sure its 30 students

4 0
3 years ago
Other questions:
  • Find the simplified product:
    5·2 answers
  • Based on the dot plots predict whether the mean or median will be greater for each data set.
    9·1 answer
  • From the table aboveWhich statement comparing these measures is true? A microgram is 1,000 times greater than a milligram
    11·1 answer
  • Translate word sentences into algebraic expressions
    5·1 answer
  • Please help me, I'm a little confused on this one.
    12·1 answer
  • Darlene had 1.56 pounds of beads to make bracelets. She gave 0.978 pounds to her friends. How many pounds of beads does she have
    13·1 answer
  • Which of the following is the equation of the x-axis?​
    7·2 answers
  • Write and solve an equation to find the number n. The sum of twice a number and 13 is 75.
    7·2 answers
  • Question 9p=3p + 18 ​
    7·2 answers
  • A
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!