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Solnce55 [7]
3 years ago
7

How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?

Mathematics
1 answer:
Fantom [35]3 years ago
4 0
9, 2, -5... so is going down by 7 each time, meaning the "common difference" is -7.

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=9\\
d=-7\\
a_n=-187
\end{cases}
\\\\\\
-187=9+(n-1)(-7)\implies -187=9-7n+7
\\\\\\
7n=9+7+187\implies 7n=203\implies n=\cfrac{203}{7}\implies \boxed{n=29}
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Subtract x3 – 7x2 + 3 from the sum of - 3x3 + x2 and – x2 + 4x - 3.
Vesnalui [34]

Answer:

x3 – 7x2 + 3------  x3 - 7x2 + 3

3x3 + x2-----------x2 • (3x + 1)

x2 + 4x - 3------------ x2 + 4x - 3

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((x3) -  7x2) +  3

Step  2  :

Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(x) = x3-7x2+3

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  3.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,3

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -5.00      

     -3       1        -3.00        -87.00      

     1       1        1.00        -3.00      

     3       1        3.00        -33.00    

Hope this helps.

3 0
3 years ago
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Answer:

Step-by-step explanation:

7 0
2 years ago
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Complete the following to describe how to draw to diagram to represent the answer 3÷3/5
OverLord2011 [107]

Answer:

you can do a diagram representing this product by drawing a box with six squares and then putting three lines for each box and divide 3÷3 and you will get 5

6 0
2 years ago
-2x + 5 (1 -7x ) =190
luda_lava [24]
The answer is x= -5 ...explained... -2x + 5 -35x= 190...-37x +5 = 190 ... now subtract 190-5 = 185... divide 185 by - 37 and get -5
8 0
3 years ago
What is 1x+3y=18 in slope intercept form
photoshop1234 [79]

Answer:

y = -x/3 + 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Standard Form:   x + 3y = 18

<u>Step 2: Rewrite</u>

<em>Find slope-intercept form</em>

  1. Subtract <em>x</em> on both sides:                    3y = -x + 18
  2. Divide 3 on both sides:                       y = -x/3 + 6
3 0
2 years ago
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