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
George is saving for a mortgage on a $125,000 house. He needs 20 percent for a down payment. He currently has $22,000. How long
Katarina [22]
<span>George will have enough money in 3 years. This is because at 5 percent interest per year, in one year he will have $23,100. In two years, he will have $24,155. In 3 years he will have $25,362.75 which will put him slightly over his goal of a 20% down payment.</span>
3 0
2 years ago
Read 2 more answers
The time that a butterfly lives after emerging from its chrysalis can be modelled by a random variable T, the model here taking
olasank [31]
Xd answer is d I hope u find the answer
8 0
2 years ago
An unloaded truck and trailer, with the driver aboard, weighs 30{,}00030,00030, comma, 000 pounds. When fully loaded, the truck
kari74 [83]

Answer:

1131 pounds.

Step-by-step explanation:

We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.

First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:

\text{Weight of tires of the fully loaded semi-truck}=18\times 3,300

\text{Weight of tires of the fully loaded semi-truck}=59,400

The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.

\text{Weight of 26 pallets of cargo}=59,400-30,000

\text{Weight of 26 pallets of cargo}=29,400

Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.

\text{Average weight of one pallet of cargo}=\frac{29,400}{26}

\text{Average weight of one pallet of cargo}=1130.769230769

\text{Average weight of one pallet of cargo}\approx 1131

Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.

3 0
2 years ago
A long time ago Dulani found an island shaped like a triangle with three straight shores of length 3 km 4 km and 5 km.He said no
VikaD [51]
To find the area of his exclusion zone you would need to understand that a triangle with dimensions of 3, 4, and 5 represent a right triangle.

This means the exclusion zone would be applied to the base and the height of the triangular space.

You would add 2 km to the 3 km, and 2 km to the 4 km to create a new height of 5 km and a new base of 6 km.

Please see the attached picture to understand this.

You will find the area of the total space created by the new triangle and subtract the space represented by the original triangle to find the area of the exclusion zone.

(1/2 x 6 x 5) - (1/2 x 4 x 3)
15 km² -6 km² equals 9 km².

The exclusion space is 9 km².

5 0
2 years ago
What is the value of x in the equation 8x – 2y = 48, when y = 4?
luda_lava [24]

Answer:

7

Step-by-step explanation:

8x-2y=48, replace y with 4, 8x-2(4)=48, multiply, 8x-8=48, add 8 to both sides to remove the -8, 8x=56 and finally divide by 8 to remove 8 from x, x=7.

8 0
2 years ago
Other questions:
  • Mrs. Matthews wants to have $18,000 in the bank in 2 years. If she deposits $9000 today at 6% compounded quarterly for 2 years,
    9·2 answers
  • 2.087 greater or less than 2.15
    15·2 answers
  • 44 tens is the same as
    5·1 answer
  • Which is greater between 222³³³ or 333²²²
    15·2 answers
  • HELP 10 POINTS AND BRAINLIEST The triangles below are similar. In each traingle there is a 53°angle and a right angle. What is t
    9·2 answers
  • Orin solved an equation and justified his steps as shown in the table.
    5·1 answer
  • Find the slope, if it exists, of the line containing the points (-4,0) and (-5,3)
    15·1 answer
  • The equation shown has a missing value. -2(2x-?)+1=17-4x. For what missing value(s), if any, does the equation have exactly one
    12·1 answer
  • Rodolpho uses a prepaid gas card to spend $35 each week for gas. After the first week, he has $140 left on the card. After every
    11·1 answer
  • A car manufacturer advertises that its new sports car has a turning radius of only 16 feet. The front tires are 4.5 feet apart.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!