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
Anna71 [15]
3 years ago
6

What is the coefficient of x^3 in the expansion of (2x-3)^5?

Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:

309

Step-by-step explanation:

(2x-)^5

step 1

1 5 10 10 5 1

step 2

1(2x¹-3^0) 5(2x²-3^5) 10(2x³-3^4)

10(2x^4-3³) 5(2x^5-3²)

1(2x^0-3¹)

step 3

(2x) (10x²-243) (20x³-81) (20x^4-27)

(10x^5-9) (2-3)

step 4

2 -243-61-7 +1 -1=309

You might be interested in
(TEN POINTS)
Rainbow [258]
F(-1)= -3 is (-1,-3) and f(2) = 6 is (2,6) where f(x) = y
y=mx + b is the slope-intercept form whereas m equals the slope (rate of change) and b equals the y-intercept (initial amount/what y is when x is 0.)

First, we need to find the slope between the two points (-1,-3) and (2,6). To find the slope we could use one of it's formulas \frac{y^2 - y^1}{x^2 - x^1}.  
1. (-1,-3)
2. (2,6)
\frac{6 - -3}{2 - -1} → \frac{9}{3} → \frac{3}{1}

The slope is 3 (\frac{3}{1}). Thusly, y = 3x + b

To find out the y-intercept, we can reverse the slope. [Note: This \frac{3}{1} is in \frac{rise}{run} where rise is 'y' and run is 'x'. Reversed would be \frac{-3}{-1} ]. Take the second ordered pair and use our reversed slope on it until we get 0 for x. 

(2, 6) ⇒ (2 - 1, 6 -3) ⇒ (1, 3) ⇒ (0,0)

Y-intercept is 0. Therefore, y= 3x + 0 [NOTE: y = f(x), so if you want it in function notation form it's just f(x) = 3x + 0.]
6 0
3 years ago
Jillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to get
frozen [14]

Answer:

Step-by-step explanation:

Discussion

This should be answered with the mean. The lower the mean, the lower the  score it took to get the mean. So B is the answer.

4 0
2 years ago
What is the answer of 10% of 115%
mixer [17]

Answer:

0.115

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the inverse function of d(x) = 2x - 4?
Naddik [55]
Let d(x) = 2x - 4

Or

y = 2x - 4

We have replace x = y

x = 2y - 4

Now Isolate "y"

x + 4 = 2y

Pass "2" dividing

(x + 4) / 2 = y

y = x/2 + 2

Or

d(x)^-1 = x/2 + 2

7 0
3 years ago
Solve the absolute value equation. If no solution write NO SOLUTION.<br> -{2x + 3] + 8<br> 12
Natasha2012 [34]

Answer:

If problem is "-|2x+3|+8=12"

then there is (<em>no solution.)</em>

Step-by-step explanation:

Let's solve your equation step-by-step.

−|2x+3|+8=12

Step 1: Add -8 to both sides.

−|2x+3|+8+−8=12+−8

−|2x+3|=4

Step 2: Divide both sides by -1.

−|2x+3|=4

   -1       -1

|2x+3|=−4

Step 3: Solve Absolute Value.

|2x+3|=−4

No solutions Because absolute value is less than 0.

4 0
3 years ago
Other questions:
  • How many gallons of pure water should be evaporated from 160 gallons of a solution containing 12% salt so that the remaining sol
    5·2 answers
  • If there are 2 red marbles , 1 white marble and 1 green marble put in a bag, what are the chances that you will reach in and wit
    7·1 answer
  • Javier rode his bike for a total of 41 minutes. Before lunch, he rode 1 minute less than 5 times the number of minutes he rode a
    9·1 answer
  • Evaluate 6 + 4/a + b/3 when a=4 and b=3
    9·1 answer
  • Five classmates came to Dan’s birthday party. This is half as many as the number of his summer camp friends who came and one thi
    8·2 answers
  • A student ran the 100-m dash in 15.4 s. What was the student’s speed in miles per hour?
    7·2 answers
  • Which point is located in Quadrant I?
    6·2 answers
  • What is the apparent solution to the system in the graph
    12·1 answer
  • Pls help me with this i will give brainliest if two ppl answer :)
    13·2 answers
  • Please help if u can! :)))
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!