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
Date:
Nadusha1986 [10]

Answer:

#3   1/6, 1/6, 1/2, 1/3, 5/6.

#4   3/12, 4/12, 5/12, 8/12, 9/12

Step-by-step explanation:

#3 is numbers out of six (fractions).

#4 is the same thing.  You add all of the numbers (4, 3, and 5) to get the total and then you subtract to get the probability.

These are all I know.

7 0
3 years ago
The reasons as well as the answer
Radda [10]

Answer:

x = 46, y = 67

Step-by-step explanation:

x = ∠ AEC = 46 ( alternate angles )

Since Δ ACE is isosceles then the base angles are congruent, then

y = \frac{180-46}{2} = \frac{134}{2} = 67

4 0
3 years ago
Read 2 more answers
Please help me :( I’m struggling
QveST [7]

Answer:

im assuming its b because the quality for the pic is bad and i cant really see it

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
HALP!!! I DON'T UNDERSTAND!!!!!
irina [24]
To find the percent of error divide how off the wrong answer was by the right number, then multiply by 100.  
Bryan's guess of 730 was 120 less than the actual number so you would divide 120 by 850. 120/850 = 0.141  
Then we would multiply that by 100.  0.141 * 100 = 14.1  
His percent of error was 14.1%. The percent of error is negative since his guess was less than the right answer.

3 0
3 years ago
two mechanics worked on a car. The first mechanic worked for 10 hrs, and the second mechanic worked for 5 hours. Together they c
soldier1979 [14.2K]

Answer:

The first mechanic $90/hour and the second charged $70/hour

Step-by-step explanation:

Lets start off by letting x be the first mechanics rate and y being the second mechanics rate. We know that the first mechanic worked 5 hours and that the second mechanic worked 10 hours and together they charged 1150. An equation to express this would be:

5x+10y = 1150

We also know that together they charged 160/per hour. An equation to express this would be:

x+y = 160

Now we can solve the second equation for x or the first mechanics rate.

x+y = 160

x = 160 - y

Now that we have an expression for x we can plug that back into the first equation and solve for y or how much the second mechanic charged.

5x+10y=1150 plug in x =160-y

5(160-y)+10y=1150 Distribute

800 -5y+10y = 1150 Combine like terms

800 +5y = 1150 Subtract 800 from both sides

5y = 350 divide by 5

y = 70

So we know that the second mechanic charged $70/hour. We also know that(from our work before) that the first mechanic charges $160 - the rate the second mechanic charged. We know that's $70/hour so we can plug in and solve for the first rate.

x = 160-y

x = 160-70

x = 90

So we know that the first mechanic charged $90/hour and the second mechanic charged $70/hour.

5 0
3 years ago
Other questions:
  • Evaluate the expression.........
    9·1 answer
  • How could you use a number line to help assist in adding or subtracting rational numbers?
    14·1 answer
  • Combining like terms with negative coefficients and distribution <br> -5(3x+10)-2(4x-5) ?
    11·1 answer
  • Write the first five terms of the sequence described by the recursive formula f(1)=2,f(x)=f(x-1)*4
    15·1 answer
  • 18 less than the product of 42 and x write as an algebraic expression
    10·1 answer
  • The temperature increased from (-3) degrees to (+12) degrees on Friday what was the temperature change over the course of the da
    7·1 answer
  • Can someone help me on this please
    10·1 answer
  • WILL GIVE BRAINLYEST<br><br> Please solve this i need it now
    14·2 answers
  • Please help ill give brainliest
    13·2 answers
  • The area of a rectangle is 27cm squared
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!