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
never [62]
4 years ago
7

1. If x-1 is a factor of p(x)=x^3-7x^2+15x-9, which of the following represents the complete factorization for p(x)?

Mathematics
2 answers:
Marina CMI [18]4 years ago
7 0

Answer:

1. Option B is the correct answer.

2. The point (1,0) lies on the graph of p(x)=x⁴-2x³-x+2.

Step-by-step explanation:

1. Dividing x³-7x²+15x-9 with (x-1).

      \frac{x^3-7x^2+15x-9}{x-1}=x^2-6x+9

  Factorizing x²-6x+9 we will get

       x²-6x+9 = (x - 3)(x-3)

  x³-7x²+15x-9 = (x-1)(x - 3)(x-3)

  Option B is the correct answer.

2. We have p(x)=x⁴-2x³-x+2

   That is y = x⁴-2x³-x+2

   We have coordinates (1,0), substituting

   y = 1⁴-2 x 1³-1+2 = 0

   So when we are substituting x value as 1 we are getting y as zero, so the point lies in curve.

Snezhnost [94]4 years ago
4 0
<span>1.</span>divide P(x) by (x-1) to get the quadratic equation... from which can be solve using any method in finding the roots of quadratic equation.... 
2 true

branlist pls
You might be interested in
The sum of two numbers is -284. One number is 62 less then the other. Find the numbers
ira [324]

Answer:

It could be -111 and -173

Step-by-step explanation:

-111 is 62 more than -173 and together they are -284.

7 0
3 years ago
PLAESE HELP ASAP!!!!
vovikov84 [41]
11 5/8 + 9 1/2= 21 1/8
3/4 - 2/5= 7/20
4 5/6 - 2 1/2= 2 1/3
I think these are right, I apologize if they are wrong.
5 0
3 years ago
Read 2 more answers
A group of friends wants to go to the amusement park. They have no more than $320 to spend on parking and admission. Parking is
Hunter-Best [27]

A group of friends wants to go to the amusement park. They have no more than $320 to spend on parking and admission. Parking is $9.25, and tickets cost $28.25 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.​

___________________________________________

Please, give me some minutes to take over your question

________________________

They have no more than $320 to spend on parking and admission

320 ≥ 9.25 + 28.25*p

9.25 + 28.25*p ≤ 320

320- 9.25 ≥ 28.25*p

310.75/28.25 ≥ p

p ≤ 11

__________________________

Answer

The number of people who can go to the amusement park can be a maximum of 11 people (less than or equal to 11).

8 0
1 year ago
Which expression represents "5 less than the product of 9 and the sum of a number and 3"?
Nikitich [7]

Answer:

(9(x+3))-5

Step-by-step explanation:


5 0
3 years ago
a shopkeeper sold a certain number ( a two-digit number)of toys all priced at a certain value (also a two-digit number when expr
Makovka662 [10]

The answer is 91 toys sold, make the number ab where a is the 10th digit and b is the first digit. The value is 10a + b that can expressed as 10 (3) + 4 = 34

Let the price of each item: xy

10x + y

He accidentally reversed the digits to: 10b + a toys sold at 10y + x rupees per toy. To get use the formula, he sold 10a + b toys but thought he sold 10b + a toys. The number of toys that he thought he left over was 72 items more than the actual amount of toys left over. So he sold 72 more toys than he thought:

10a + b =10b + a +72

9a = 9b + 72

a = b + 8

The only numbers that could work are a = 9 and b = 1 since a and b each have to be 1 digit numbers. He reversed the digits and thought he sold 19 toys. So the actual number of toys sold was 10a + b = 10 (9) + 1 = 91 toys sold. By checking, he sold 91 – 19 = 72 toys more than the amount that he though the sold. As a result, the number of toys he thought he left over was 72 more than the actual amount left over as was stated in the question.

<span />
3 0
3 years ago
Other questions:
  • The value for the missing side is: 25. 4 5. None of these choices are correct.
    8·1 answer
  • ada writes 10 + 8 = 18 on the board . to use the commutative property of addition to rewrite ada's addition sentence. what numbe
    13·1 answer
  • Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the new function and write it in simplest form
    11·1 answer
  • The quantity b squared minus 4 ac is called the​ ______ of a quadratic equation. If it is​ ______, the equation has no real solu
    14·1 answer
  • The area of a square garden is 9ft. How long is each side of the garden
    9·1 answer
  • In ΔSTU, s = 6.1 cm, t = 3.2 cm and u=7.4 cm. Find the measure of ∠S to the nearest 10th of a degree.
    9·2 answers
  • What is the circumference of a circle with a diameter of 62 centimeters?
    8·1 answer
  • Choose the equation one must solve to answer the question.
    12·1 answer
  • An ice cream shop wants to be sure their cups and cones hold the same amount of
    5·1 answer
  • Find the measures in the parallelogram4. Find AB and AC
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!