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]
2 years 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]2 years 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
A salesman needed to sell a four–wheeler. He priced it at $3,500 the first day it was on the market. The second day he reduced t
Alex17521 [72]
$2975 after the reduction
7 0
3 years ago
Given ΔADC and ΔAEB, What is AE?
chubhunter [2.5K]

Answer:

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the \triangle ADC \text { and }\triangle AEB :

1. \angle B = \angle C = 90^\circ

2. \angle A is common to both the triangles.

3. Two angles are common, so the third angle \angle E is also equal to \angle D.

All the three angles in the \triangle ADC \text { and }\triangle AEB are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

BC = 55 units

AB = AC - AB = 33 units

Let side AE = x units

Side AD = AE + ED

So, AD = x + 72

Using the ratio:

\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units

So, AE = 43.2 units

4 0
3 years ago
PLEASE HELP ME WORH THIS
Bas_tet [7]

Answer: It’s C

Step-by-step explanation: 5-12-2=-9 and then the 11 stays

5 0
3 years ago
Read 2 more answers
A herd of dinosaurs made paintings in the sand with their claws. Each baby dinosaur made 151515 paintings and each adult dinosau
dsp73

There were 12 baby dinosaurs and 4 adult dinosaurs making the painting.

<h3>Equation</h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of baby dinosaurs and y represent the number of adult dinosaurs.

Since there was 208 paintings, hence:

  • 15x + 7y = 208   (1)

Also:

  • x = 3y
  • x - 3y = 0   (2)

From equation 1 and 2:

x = 12, y = 4

There were 12 baby dinosaurs and 4 adult dinosaurs making the painting.

Find out more on Equation at: brainly.com/question/13763238

5 0
2 years ago
The amount of time it takes Heather to cook dinner is directly proportional to the number of ingredients involved. If it takes h
Lemur [1.5K]
15 minutes!

Since the ratio is 1 : 1, for every one ingredient it will take her one minute. 15 ingredients = 15 minutes.

Hope that helped!

:D®

P.S. I wonder what she's cooking.
6 0
3 years ago
Read 2 more answers
Other questions:
  • John bikes at a speed of 10 miles per hour. His friend Brian is slower, his biking speed is only 8 miles per hour. d Tomorrow bo
    6·1 answer
  • PLEASE HELP ASAP !!!! <br> Samantha says that (6^4)^-3 = 6. is she correct ? why or why not ?
    5·1 answer
  • Rachel and her friends are making necklaces out of beads and straws. They plan to use 12 beads and 5 straws for each necklace. T
    13·1 answer
  • Suppose a brand of lightbulbs is normally distributed with a mean life of 1900 hours and a standard deviation of 50 hours. Find
    13·1 answer
  • A bird traveled 4 miles north before stopping to rest. The bird then flew 2,640 yards south in search of food. Finally, it flew
    14·2 answers
  • Jeff uses 3 fifth- size strips to model 3/5. he wants to use tenth size strips to models an equivalent fraction. how many tenth
    5·1 answer
  • WHOEVER HELPS ME ON THIS WILL GET BRAINLIEST
    9·2 answers
  • Ejemplo de elementos de un monomio porfis
    12·1 answer
  • Round 3487 to the nearest thousand​
    8·2 answers
  • What are the coordinates of point (-1,4) under dilation<br> D-2?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!