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
Digiron [165]
1 year ago
15

Consider the expansion of (x^2+px-3)(3x-5),where p is a constant.If the coefficient of x of the expansion is -44,find the value

of p
Mathematics
1 answer:
V125BC [204]1 year ago
4 0

Answer:

p = 7

Step-by-step explanation:

(x² + px - 3)(3x - 5)

each term in the second factor is multiplied by each term in the first factor, that is

x²(3x - 5) + px(3x - 5) - 3(3x - 5) ← distribute parenthesis

= 3x³ - 5x² + 3px² - 5px - 9x + 15 ← collect like terms

= 3x³ +x²(3p - 5) - x(5p + 9) + 15

given the coefficient of the x- term is - 44 , then

-(5p + 9) = - 44 ← - (5p + 9) is th coefficient of x in the expansion

- 5p - 9 = - 44 ( add 9 to both sides )

- 5p = - 35 ( divide both sides by - 5 )

p = 7

You might be interested in
There are 4 pitchers.
Westkost [7]

Answer:

7.2 litters of milk

Step-by-step explanation:

4 times 1.8

4 0
3 years ago
Read 2 more answers
ASAP PLS!! i attached a link with a screenshot of the question. please give step by step!!!!! will mark brainliest :)
emmainna [20.7K]

Answer:

I found two different solutions. Hope one of them help!

1. x = -1/3 = -0.333

2. x = 5/2 = 2.500

Step-by-step explanation:

13 ± √ 289

  x  =    ——————

                     12

Can  √ 289 be simplified ?

Yes!   The prime factorization of  289   is

  17•17

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 289   =  √ 17•17   =

               ±  17 • √ 1   =

               ±  17

So now we are looking at:

          x  =  ( 13 ± 17) / 12

Two real solutions:

x =(13+√289)/12=(13+17)/12= 2.500

or

x =(13-√289)/12=(13-17)/12= -0.333

Two solutions were found :

x = -1/3 = -0.333

x = 5/2 = 2.500

7 0
3 years ago
Please help I will vote Brainiest hurry!! Ignore that they r already answered I can't get rid of them and they r probably wrong
GaryK [48]

Answer:

i am prtty sure it gores  dot 3, dot 2, and dot 4

Step-by-step explanation:

dont quote me on that tho

5 0
3 years ago
What is the slope of the line in the graph? <br>slope=<br>Plz Hurry​
soldier1979 [14.2K]

Answer:

Slope = 1

Step-by-step explanation:

8 0
3 years ago
(help!) What is the relationship between the ratios of the Perimeter and the ratios of the Area?
Papessa [141]

Answer:

4.5 I think

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • There are 914.4 millimeters in a yard. There are 3 feet in a yard. How many millimeters are in a foot?
    13·2 answers
  • How do you write 78,621,087 in expanded notation and expanded form?
    9·1 answer
  • A theater company with 9 actors is putting on a play that has 3 roles. In how many different ways can the director assign actors
    10·2 answers
  • (4×5)x+ 3x + 2<br>Answer here​
    11·1 answer
  • Kenda owns a restraunt she charges $3.00 for 2 eggs and 1 piece of toast and 1.80 for 1 egg and 1 piece of toast how much does k
    5·1 answer
  • 3/5 in two equivalent forms
    10·1 answer
  • The length of a rectangular pool is 20 feet and the width is 15 feet. The
    11·1 answer
  • Did you get your answer
    10·1 answer
  • What's the ratio? please help! Urgent!
    8·1 answer
  • You need 120 pieces of chalk for art day. your teacher gar 6 boxes of chalk. Each box he's 18 pieces of chalk. Is that enough ch
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!