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
MatroZZZ [7]
3 years ago
7

Given that f(x)=5x^3+ax^2-4x-2 and that (x-1) is a factor of f(x), find a.

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

Answer:

a=1

Step-by-step explanation:

Because x-1 is factor of f(x)

for x1=1, f(1)=0, then

f(1)=5*1^3+a*1^2-4*1-2=0

5*1+a*1-4-2=0

5+a-6=0

a-1=0

a=1

You might be interested in
8.
iren2701 [21]
Are these the actual figures?
8 0
3 years ago
A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
Protractors cost 16p each how much would 26 protractors cost
AveGali [126]

Answer:

The answer is £4.16

Step-by-step explanation:

26 x 16 = 416 = £4.16

4 0
3 years ago
Read 2 more answers
PLEASE HELP MEEEEEEEEEEEEEEEEEE!!!!!!!!
victus00 [196]
F = 41
E = 90
D = 49
from D to E is 55
then E to F also known as X = 36.08 or 41.51
6 0
3 years ago
On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any
dalvyx [7]
According to the 72 rule
72/rate=time
72÷9.6=7.5 years

Another way to solve by using the main equation
2300=1150(1+0.096/4)^4t
Solve for t
t=((log(2,300÷1,150)÷log(1+(0.096÷4))÷4))=7.31years

Hope it helps :-)
7 0
3 years ago
Read 2 more answers
Other questions:
  • URGENT: Which of the statements must be true? select all that apply
    6·1 answer
  • Would someone be able to answer the following questions:
    6·1 answer
  • Maria can bake 28 cupcakes with 3 scoops of flour. How many cupcakes can she bake with 27 scoops of flour?
    15·2 answers
  • A group of friends will buy at most 8 snacks at a movie theater and spend no more than $42. They will pay $4 for each box of can
    7·1 answer
  • Rational number on a number line
    6·1 answer
  • Helppppppppppppppppp I will give brainliest plsssss​
    9·1 answer
  • What is the total cost of a DVD that sells for $22.99 plus a 5% sales tax?
    7·2 answers
  • In the stands at a basketball game you counted 96 people wearing orange shirts and 36 people wearing purple shirts what was the
    5·1 answer
  • WHOEVER ANSWERS ALL 3 CORRECTLY W STEP BY STEP GETS BRAINLIEST
    11·2 answers
  • please try to respond all the questions on the photo. if not it’s fine but please help asap! this is linear and quadratic models
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!