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]
3 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]3 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]3 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
A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t
Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

h=-16t^2+200t

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

350=-16t^2+200t

The last is a quadratic equation, which can be put in the form at^2+bt+c=0 and solved applying the formula:

t=\frac{-b+-\sqrt{b^2-4ac} }{2a}

So, let's put the equation on the form at^2+bt+c=0 adding 16t^2 and subtracting 200t to each side of the equation; the result is:

16t^2-200t+350=0

So, we note that a=16, b=-200, and c=350.

Then,

t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10

t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

4 0
3 years ago
Based on previous sales, Ron predicted sales of 80 pen sets. He actually sold 100 pen sets. Find the error and absolute error fo
bagirrra123 [75]

Answer:

A=-20 B=20

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How much being would you need to be on a skateboard to go on a loop D Loop on and on a ramp
dolphi86 [110]

Answer:

If you know the radius of a circular track, you can use physics to calculate how fast an object needs to move in order to stay in contact with the track without falling when it reaches the top of the loop.

4 0
3 years ago
Read 2 more answers
You cut a circular hole 1/4 -inch in diameter in a piece of cardboard. With the cardboard 30 inches from your face, the Moon fit
Stolb23 [73]

Answer:

The Moon's diameter is greater than 1,500 miles

Step-by-step explanation:

we know that

1\ mile=63,360\ inches

1,500\ miles=1,500*63,360=95,040,000\ inches

240,000\ miles=240,000*63,360=15,206,400,000\ inches

by proportion

Find the Moon's diameter

Let

x-----> the Moon's diameter in inches

\frac{x}{15,206,400,000}=\frac{0.25}{30}\\ \\x= 15,206,400,000*0.25/30\\ \\x=126,720,000\ inches

Compare

126,720,000\ inches> 95,040,000\ inches

therefore

The Moon's diameter is greater than 1,500 miles

3 0
3 years ago
What would 5.36 be in a fraction<br> Please explain how you got the answer too.
garri49 [273]
So you have 5.36
that is 5 wholes and 0.36
0.36 can be written on a fraction of 36/100
simplify it to 9/25
Now you have the mixed number
5  9/25 or to write it into an improper fraction... multiply 25 * 5 then add 9, that is 134/25.

Hope this helps
7 0
2 years ago
Read 2 more answers
Other questions:
  • Anyone want to help with this problem
    7·1 answer
  • Is the number 8 a multiple of 8 and it is also a factor of 8
    5·1 answer
  • The triangles are similar. If QR = 9, QP = 6, and TU = 19, find TS. Round to the nearest tenth.
    13·2 answers
  • I’m supposed to solve this by eliminating the x variable
    9·1 answer
  • Please help on this one
    14·1 answer
  • The newest pair of airpods cost $160.00 at Best Buy. If sales tax, in the state, is 5%, how much will you have to pay for the ta
    13·1 answer
  • The graph below shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet pe
    13·2 answers
  • 102 x5 multiply with expanded form
    12·1 answer
  • How would you set up question 4?
    7·2 answers
  • LMNO is a parallelogram, with and . Which statements are true about parallelogram LMNO? Select three options.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!