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
STatiana [176]
3 years ago
8

When the function f(x) = 2x^n + ax^2 - 6 is divided by (x - 1), the remainder is -7 and when divided by (x + 3), the remainder i

s 129.
Calculate the value of "a" and "n" and hence write the polynomial function completely.
Mathematics
2 answers:
hodyreva [135]3 years ago
5 0

Answer:

Step-by-step explanation:

From the fact that the remainder is -7 after we divide by x -1 , then we know that f(1) = -7. But f(1) = 2 + a - 6.

So 2 + a - 6 = -7

a - 4 = -7

a = 4 - 7

a = -3.

Also we know that when divided by x + 3 the remainder is 129. Hence f( -3) = 129

129 = f(-3) = 2 (-3)^ n + (-3)(-3)^2 -6

129 = 2 (-3)^n -27 - 6

129 = 2 (-3)^n -33

129 + 33 = 2(-3)^n

162 = 2 (-3)^n

81 = (-3)^n

Hence n =4 and therefore f(x) = 2x^4 -3x^2 - 6.

zhannawk [14.2K]3 years ago
3 0

Answer:

Step-by-step explanation:

You might be interested in
A student solving for the acceleration of an object has applied appropriate physics principles and obtained the expression a=a1+
egoroff_w [7]

Answer:

a=\frac{3\times 7}{7}+\frac{12}{7}  (First step for obtaining a common denominator for the two fraction)

a=\frac{33}{7}\text{ m/s}^2

Step-by-step explanation:

\text{Given Expression: }a=a_1+\frac{F}{m}

where,

a is acceleration of an object.(Need to calculate)

a_1=3.00\text{ m/s}^2

F=12.0\text{ Kg.m/s}^2

m=7.00\text{ kg}

\text{Substitute }a_1, \text{ F, and m into expression and we get}

a=3+\frac{12}{7}

Now we will simplify above expression for a

First we make common denominator.

Common denominator is 7. So, we make both denominator 7. We multiply by 7 at top and bottom with 3. We get

a=\frac{3\times 7}{7}+\frac{12}{7}  (First step for obtaining a common denominator for the two fraction)

Now we combine the numerator

a=\frac{21+12}{7}

a=\frac{33}{7}\text{ m/s}^2



3 0
4 years ago
Read 2 more answers
Three students want to estimate the mean word length of the same book. To do this, each student randomly chose 4 words from the
Firlakuza [10]

The solutions to the questions are given below

a)

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25


b)R =0.75

c)

  • The mean of the sample means will tend to be a better estimate than a single sample mean.
  • The closer the range of the sample means is to 0, the more confident they can be in their estimate.

<h3>What is the students are going to use the sample means to estimate the mean word length in the book.?</h3>

The table below shows sample means in the table.

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25

b)

Generally, the equation for is  mathematically given as

variation in the sample means

R =maximum -minimum

R=4.25-3.5

R =0.75

c)

In conclusion, In most cases, the mean of many samples will provide a more accurate estimate than the mean of a single sample.

They may have a higher level of confidence in their estimate if the range of the sample means is closer to 0 than it is now.

Read more about probability

brainly.com/question/795909

#SPJ1

7 0
2 years ago
Assume that a varies directly as b. What is the constant of proportionality if a = 8 when b = 2?
Lena [83]

Answer:

k = 4

Step-by-step explanation:

Given that a varies directly as b then the equation relating them is

a = kb ← k is the constant of variation

To find k use the condition a = 8 when b = 2

k = \frac{a}{b} = \frac{8}{2} = 4

8 0
3 years ago
Read 2 more answers
4/6 x what equals 8/6​
Sidana [21]

Answer: 4/6

1. Subtract 8/6 by 4/6.

  • 8/6 - 4/6 = 4/6

4/6 + 4/6 = 8 is the same as:

  • 4 + 4 = 8

<em>Notice: You don't change the denominator if your adding or subtracting.</em>

<em>That's why 4 + 4 = 8 is the same as 4/6 + 4/6.</em>

<em />

<h2>Final answer: 4/6. </h2>

5 0
3 years ago
How would the graph of the relation y=3x-2 change if the 3 and -2 were both doubled? 
Lena [83]
<u>y = 3x - 2</u>

-- The ' 3 ' is the slope. If you double it to ' 6 ', the line is steeper.

-- The ' -2 ' is the y-intercept. If you double it to ' -4 ', the line crosses the y-axis lower.

Choice <u>(a)</u> says that . . . "... steeper, and lower y-intercept".

6 0
3 years ago
Other questions:
  • You want to buy one DVD for $24.99 and another for $19.99. What is the total price of both DVD's plus tax if the sales tax is 6.
    11·1 answer
  • Nathan and Sydney start out together on a bike trail that is 24 miles long. Nathan bikes at 88 miles per hour while Sydney bikes
    9·2 answers
  • 2x+y=-6<br><br>what are the x and y intercepts​
    9·1 answer
  • Which set of numbers cannot represent the lengths of the sides of a triangle?
    11·2 answers
  • Help I will give brainliest
    7·1 answer
  • A Weather Forecaster, predicts that their is a 50% chance of rain on Saturday and a 40% chance of rain on Sunday. If these proba
    6·1 answer
  • Help please?
    7·1 answer
  • Right triangles and trigonometry help!
    14·1 answer
  • Please help me solve this :3
    12·1 answer
  • 4. need help with this question - give the brainliest answer whoever answer it fully
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!