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
Jobisdone [24]
2 years ago
11

Given that 2x³-5x² - 4x+8 = (Ax - 1)(x-B)(x + 1) + C for all values of x, find the

Mathematics
1 answer:
vfiekz [6]2 years ago
8 0

Answer:

A=2, B=3, C=5

Step-by-step explanation:

Two polynomials are equal for all values of the variable if the corresponding coefficients are the same. The way to solve the problem is to multiply the RHS, rewrite it in a more orderly way

(Ax-1)(x-B)(x+1)+C = \\Ax^3+(A-AB-1)x^2+(B-AB-1)x +B+C

Now, for the two polynomials to be the same we need to have, at the same time

x^3: A=2\\x^2: A-AB-1= -5\\x:B-AB-1=-4\\1: B+C=8

You might notice that we have more conditions than variables, but you can consider one of the two in the middle as a "check" option.

Now, grabbing the value from the first condition into the second we get B=3. Replacing both value in the third we see that the equality still holds, and replacing into the fourth we get C =5.

You might be interested in
A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is
BigorU [14]

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

4 0
3 years ago
Bianca took a job that paid $150 the first week. She was guaranteed a raise of 6% each week. How much money will she make in all
ivann1987 [24]

Answer:

$225.54 (hope it help)

Step-by-step explanation:

for 2nd week

$150 for the first week and a raise of 6% each week

which means 150+6%

6% of 150 is 9 (150x0.06)

150+9=159

and it repeats

for 3rd week

6% of 159 is 9.54 (159x0.06)

159+9.54=168.54

for 4th week

6% of 168.54 is 10.1124 (168.54x0.06)

168.54+10.1124=178.652

for 5th week

6% of 178.652 is 10.71912 (178.652x0.06)

178.652+10.71912=189.37112

an easier to do it is to just do 178.652 + 6% on your calculater

and I'll skip all the way to the 8th since you know the formula

212.777390432+6%=225.544033858

225.544033858≈225.54

3 0
3 years ago
Pls help extra points and mark brainlist
ch4aika [34]

Answer:

1

Step-by-step explanation:

So because 3 to the power of 3 is in brackets we do that first.

3 x 3 x 3 = 27

Now , 27 to the power of 0 is 1 because anything to the power of 0 is 1.I hope this helped

4 0
2 years ago
Simplify 0.5 (-77.8-11)/ -4 show all your steps
Mekhanik [1.2K]

Answer:

11.1

Step-by-step explanation:

0.5(−77.8−11)/−4

=(0.5)(−88.8)/−4

=−44.4/−4

=11.1

3 0
3 years ago
Select the locations on the number line to plot the points _2 _11 and _17
bixtya [17]
17 points after 0, 11 points after 0, and 2 points after 0
3 0
3 years ago
Other questions:
  • Last one was 5(x + y)
    11·1 answer
  • How to find a least common demoniator
    5·1 answer
  • PLEASE help if been trying to do this for sooooo long!!! pic attached
    7·1 answer
  • What angles are supplementary angles?
    7·2 answers
  • 3. How can you use the graph for Exercise 2 to find how many cups are in 9 quarts?
    11·1 answer
  • Work out the length x
    8·1 answer
  • The additive inverse opposite of 12 integer
    11·1 answer
  • THE MEASURE OF TWO ADJACENT ANGLES OF THE PARALLELOGRAM ARE IN THE RATIO OF 3:2. FIND THE MEASURE OF EACH OF THE ANGLES OF THE P
    10·1 answer
  • Find the perimeter of the figure to the nearest hundredth.
    10·1 answer
  • What is the answer to this?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!