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
choli [55]
3 years ago
6

Pls answer this for me, this is the remainder theorem for grade 9 so help me.

Mathematics
1 answer:
scZoUnD [109]3 years ago
3 0
1) Let f(x) be x^3+5x^2+2x+1
Since f(x) is divided by x+1,
R= f(-1) = (-1)^3 + 5(-1)^2+2(-1) + 1
= -1+5-2+1
= 3
2) Let f(x) be x^3 - 6x + 5x +2
Since f(x) is divided by x-5,
R= f(5) = x^3 - 6x^2 + 5x +2
= 5^3 - 6(5)^2 + 5(5) +2
= 125 - 150 + 25 + 2
= 2
You might be interested in
Evaluate the summation of negative 2 n minus 3, from n equals 2 to 10..
Alisiya [41]
\bf \sum\limits_{n=2}^{10}~-2n-3

so, let's first change the bounds from 1 to 9, so we'll be dropping the indices by 1, in order to do the variable "n".

however, let's use a variable hmmm say "k", where "k" is the value of "n" beginning at 1, thus k = n - 1.

however, if k = n - 1, then k + 1 = n.  So let's use those fellows then,

\bf \sum\limits_{n=2}^{10}~-2n-3\qquad 
\begin{cases}
k=n-1\\
k+1=n
\end{cases}\implies \sum\limits_{k=1}^{9}~-2\stackrel{n}{(k+1)}-3
\\\\\\
\sum\limits_{k=1}^{9}~-2k-2-3\implies \sum\limits_{k=1}^{9}~-2k-5\implies \sum\limits_{k=1}^{9}~-2k-\sum\limits_{k=1}^{9}~5
\\\\\\
-2\sum\limits_{k=1}^{9}~k-\sum\limits_{k=1}^{9}~5\implies -2\left( \cfrac{9(9+1)}{2} \right)\qquad -\qquad (9\cdot 5)
\\\\\\
-2(45)-45\implies -90-45\implies -135
5 0
3 years ago
can somebody please write what are the rules for multiplying integers and the rules for dividing integers in a short answer?
arsen [322]

Answer:

Negative + Negative = Positive

Negative + Positive = Negative

Positive + Negative = Negative

Positive + Positive = Negative

The rules are the same for division.

Step-by-step explanation:

4 0
3 years ago
Solve for x,y, and z.
Ann [662]

The given triangle is isosceles, so the two remaining angles in the triangle both have measure <em>xº</em>. The interior angles of any triangle sum to 180º, so that

58º + <em>xº</em> + <em>xº</em> = 180º

58 + 2<em>x</em> = 180

2<em>x</em> = 122

<em>x</em> = 61

Angles <em>y</em> and <em>z</em> are supplementary to angle <em>x</em>, so that

<em>xº</em> + <em>yº</em> = 180º

and

<em>xº</em> + <em>zº</em> = 180º

and consequently, <em>y</em> = <em>z</em>. In particular, we get

<em>y</em> = 180 - 61

<em>y</em> = 119

and so

<em>z</em> = 119

6 0
3 years ago
A $96.00 item is marked down by 25%.
tangare [24]

Answer:

72.00$

Step-by-step explanation:

25% = .25

.25 × 96.00 = 24

96 - 24 = 72

6 0
3 years ago
Read 2 more answers
A paint company charges $5.00 per square foot and a $380.00 flat fee. The company is offering a 10% discount on the total painti
rjkz [21]

Answer:

y=(5x+380)/10

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • A survey with a two-point scale was conducted in an organization. It concluded that 85% of the respondents were unsatisfied with
    6·2 answers
  • A line has a slope of 3 and passes through the point (3,6)
    11·1 answer
  • The legs of a right triangle measure 8 feet and 15 feet. What is the length of the hypotenuse?
    6·1 answer
  • Calculate (-3 5/6) - 4 1/2
    7·1 answer
  • Sandy ate 1/6 of a candy bar John ate 3/4 of it how much more of the candy bar did John eat them Sandy​
    11·1 answer
  • What's the dífference between paying $10,000 cash for a car or paying a loan of $200 per month for 60 months?
    14·1 answer
  • rice that costs $480 which is for 8 members is used 20 days. What is the cost of rice which is required for 12 members for 15 da
    9·1 answer
  • F (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?
    8·1 answer
  • PRS is isosceles with RP RS RQ is drawn such that it bisects PRS What additional fact can be used to prove PRQ SRQ by Sas in ord
    14·1 answer
  • This week Kent works 15 hours at$12.50 an hour His Paycheck Including his commission was $263.85 can was to know how much earned
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!