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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
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Answer:

2,5

Step-by-step explanation:

(1+3)/2, (4+6)/2

5 0
3 years ago
A circle has a diameter of 4 inches. A square has a side length of 4 inches. What is true about the areas of these two figures?
liubo4ka [24]
Answer:


The area of the square is greater than the area of the circle.
8 0
3 years ago
PLSSS HELP!! For the given ordered pairs, write a function rule relating x and y. (1,4), (2,9), (3,16), (4,25)​
LenKa [72]

Answer:

y=(x+1)^2

Step-by-step explanation:

we have the following

x=1;y=4\\\\x=2;y=9\\\\x=3;y=16\\\\x=4;y=25

the values of y are squares so we can write

x=1;y=2^{2} \\\\x=2;y=3^2\\\\x=3;y=4^2\\\\x=4;y=5^2

so as you can see when

x=n;y=(n+1)^2

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y=(x+1)^2

3 0
3 years ago
The average temperature change in degrees Fahrenheit per hour if the temperature fell 22degree Fahrenheit in 10 hours
Nonamiya [84]

Answer:

2.2 degrees per hour

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4 0
3 years ago
Read 2 more answers
Kabul’s bookshop marks up all books by 40 percent of their cost. The overhead rate is 16 percent of the selling price. What is t
morpeh [17]

Answer:

The net profit rate on the book is 5.41

Step-by-step explanation:

Given as :

The marks up percentage of book = m = 40%

The overhead rate is 16% of selling price

The cost price of book = c.p = $18.10

Let The profit = $p

Let The selling price = s.p

<u>Now, According to question</u>

mark up percentage = \dfrac{s.p - c.p}{c.p}

I.e 40% =  \dfrac{s.p - 18.10}{18.10}

Or, \dfrac{40}{100} + 1 = \dfrac{s.p}{18.10}

Or, \dfrac{140}{100} =  \dfrac{s.p}{18.10}

Or, s. p = \dfrac{140\times 18.10}{100}

∴ s.p = $25.34

So, selling price of book = s.p = $25.34

Now, The overhead percentage = 16%

i.e overhead rate = \dfrac{\textrm estimated cost}{\textrm estimated total base unit}

Or, estimated cost = 16% × 25.34

I,e estimated cost = 0.16 × 25.34

∴ estimated cost = $4.05

Now,

Profit = selling price of book - estimated book cost

I.e p = $25.34 - $4.05

∴ p = $21.29

So, The profit rate% = \dfrac{\textrm profit}{\textrm estimated cost}

I.e The profit rate% = \dfrac{21.29}{4.05}

∴ profit rate %= 5.41

So, The profit rate = p = 5.41

Hence, The net profit rate on the book is 5.41  Answer

4 0
3 years ago
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