answer.
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
Anvisha [2.4K]
2 years ago
11

What is the value of k such that x-5 is a factor of x3 – x2 + kx - 30?

Mathematics
1 answer:
Paraphin [41]2 years ago
5 0

Answer:

k = - 14

Step-by-step explanation:

given that (x - 5) is a factor of the polynomial then x = 5 is a root and

x³ - x² + kx - 30 = 0 for x = 5, that is

5³ - 5² + 5k - 30 = 0

125 - 25 + 5k - 30 = 0

70 + 5k = 0 ( subtract 70 from both sides )

5k = - 70 ( divide both sides by 5 )

k = - 14


You might be interested in
A runner completes a 400-m race in 43.9 s. In a 100-m race, he finishes in 10.4 s. In which race was his speed faster?
Sveta_85 [38]

Answer:

100m race

Step-by-step explanation:

because 10.4 x 4 because 100m and 400m right 10.4x4=41.6 and 43.9 so obviously the 100m race is faster.

5 0
2 years ago
Read 2 more answers
Z to the power of 2 =1
stiv31 [10]

That would be written as:

z^{2} = 1


And the step-by-step equation would be:

z^{2} = 1 → we take the 2 to the right side of the equation and do the IO*

z = \sqrt{1} →we solve for \sqrt{1}

z = 1 → final answer


*Ps - IO is not an existing term and stands for inverse operation. In this case, because when we take to 2 to the right side of the equation (the 2 is a power) it'll have to turn into a square root (because exponents and roots are inverse operations)



Hope it helped,



BioTeacher101

3 0
2 years ago
You have $50 to spend on cold cuts for a party. Ham costs $5.99/lbs, and turkey costs $4.99/lbs. Write an equation in standard f
Bumek [7]

Answer:

The answer here is 5.99x + 4.99y <= 50

Step-by-step explanation:

x represents the number of pounds of ham you buy, and y represents the number of pounds of turkey you buy. Since you only have 50 dollars, the amount of money you spend has to be less than or equal to 50.

8 0
2 years ago
Read 2 more answers
An appliance store sells 245 toasters in the month of January. If it sells 200 more toasters in the next month, how many toaster
Nikitich [7]

Answer:

445

Step-by-step explanation:

Just add the 200 to 245

6 0
2 years ago
Read 2 more answers
A cardboard carrying box has the dimensions shown below. How many square inches of
kherson [118]

Answer:

Step-by-step explanation:

Answer:

D, 344

Step-by-step explanation:

5x6 = 30x2 = 60

6x10 = 60

5x10 = 50x4 = 200

4x6=24 (dont need to divide by two since theres two triangles)

24+60+60+200= 344

8 0
2 years ago
Read 2 more answers
Other questions:
  • If cos 65 degree +cos 55 degree = cos θ, find θ in radians
    10·1 answer
  • Help please!!! I just seriously need help I'm bad at math&gt;
    11·1 answer
  • An astronomer wishes to measure on a photograph the distance between the image of a certain star and three other star images nea
    10·2 answers
  • The sum of two numbers is 361 and the difference between the two number is 173 what are the two numbers
    15·2 answers
  • Aileen can read 1.5 pages for every page her friend can read. Aileen's mom was very excited and she said to Aileen: "So, if your
    13·2 answers
  • What is the value of the ratio of the surface area to the volume of the cylinder? 0.38 2.66 0.94 0.7
    5·1 answer
  • The gestation period of rhinos ​(487 ​days) is​ _____ percent longer than the gestation period of bears ​(220 ​days).
    5·1 answer
  • Alice is making an octahedron out of origami. The last step requires her to blow into the octahedron to fill it up.
    12·1 answer
  • A company recorded 2 days of accrued salaries of $2,200 for its employees on January 31. On February 9, it paid its employees $8
    15·1 answer
  • Gil buys 4 books for $16. Then he sells 3 CDs for $27. Write equations for y, Gil’s change in money after buying a book, and for
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!