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
Karolina [17]
3 years ago
12

Given f(x)=3x^2+9x+k and the remainder when f(x) is divided by x+1 is -14, then what is the value of k?

Mathematics
1 answer:
MAXImum [283]3 years ago
6 0

Answer:

The value of k is -8.

Step-by-step explanation:

Given;

f(x) = 3x² + 9x + k

factor of the function = x + 1

remainder of the function = -14

let x + 1 = 0

x = -1

f(-1) = 3(-1)² + 9(-1) + k = -14

3(-1)² + 9(-1) + k = -14

3 - 9 + k = -14

-6 + k = -14

k = -14 + 6

k = -8

Therefore, the value of k is -8.

You might be interested in
A particular geometric sequence has strictly decreasing terms. After the first term, each successive term is calculated by multi
Maksim231197 [3]

Answer:

6 possible integers

Step-by-step explanation:

Given

A decreasing geometric sequence

Ratio = \frac{m}{7}

Required

Determine the possible integer values of m

Assume the first term of the sequence to be positive integer x;

The next sequence will be x *  \frac{m}{7}

The next will be; x *  (\frac{m}{7})^2

The nth term will be x *  (\frac{m}{7})^{n-1}

For each of the successive terms to be less than the previous term;

then \frac{m}{7} must be a proper fraction;

This implies that:

0 < m < 7

<em>Where 7 is the denominator</em>

<em>The sets of </em>0 < m < 7<em> is </em>\{1,2,3,4,5,6\}<em> and their are 6 items in this set</em>

<em>Hence, there are 6 possible integer</em>

3 0
2 years ago
Help me my grade depends on this
taurus [48]

Answer:

If it’s asking what it is before the tax, it’s just $25.20.  With the tax, it’s $26.46

Step-by-step explanation:

3 0
1 year ago
Read 2 more answers
What kind of sequence is the pattern 1, 6, 7, 13, 20, ...?
AlexFokin [52]

Answer:

The given sequence 6, 7, 13, 20, ... is a recursive sequence

Step-by-step explanation:

As the given sequence is

6, 7, 13, 20, ...

  • It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.

As

d = 7-6=1,  d = 13-7=6

As d is not same. Hence, it cannot be an arithmetic sequence.

  • It also cannot be a geometrical sequence and exponential sequence.

It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.

As

r = 7-6=1,  r = 13-7=6

r = \frac{7}{6},  r = \frac{13}{7}

As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.

So, if we carefully observe, we can determine that:

  • The given sequence 6, 7, 13, 20, ... is a recursive sequence.

Please have a close look that each term is being created by adding the preceding two terms.

For example, the sequence is generated by starting from 1.

     {\displaystyle F_{1}=1

and

     {\displaystyle F_{n}=F_{n-1}+F_{n-2}}

for n > 1.

<em>Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence</em>

<em>Learn more about sequence from brainly.com/question/10986621</em>

<em>#learnwithBrainly</em>

6 0
3 years ago
Need help on this question thank you
Ivahew [28]

Answer:

B.

Step-by-step explanation:

8 0
3 years ago
The solution of the system is (400, 3,200). How would you interpret this solution?
alekssr [168]
The solution (400, 3, 200) is the answer to a system of equations which has three variables. Respectively, this system is expected to have three equations because it has three unknowns. So for example if your unknowns are x, y and z, then the answers will be x=400, y=3, and z=200. 
3 0
3 years ago
Read 2 more answers
Other questions:
  • A shopper seeking a bargain combined a 25% off coupon and brought enough money to cover 25% of the base price. Why did this shop
    6·1 answer
  • What is the standard form of this complex number?
    6·2 answers
  • The rockets scored 15 baskets out of 21 attempts. How many attempts will it take for the rockets to score 40 baskets?
    5·2 answers
  • How do you do markdowns and markups
    9·1 answer
  • I would really appreciate if someone would help me i don’t understand
    14·1 answer
  • A combination of 3 erasers and 5 pencils cost $7.55. A combination of 6 erasers and 12 pencils cost $17.40. How much is each pen
    11·1 answer
  • Determine if the table represents a linear function. If so, what's the rate of change?
    9·1 answer
  • I only got 2 hours of sleep so I have no idea what's going on here. I just need some help, my bad.
    12·2 answers
  • 1. The equation y = -x2 - 2x + 8 is graphed on the
    7·1 answer
  • A zoo records the weight of a newborn elephant as 200 pounds….
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!