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Andrei [34K]
4 years ago
9

Sigma Notation: Need Help!!

Mathematics
1 answer:
kkurt [141]4 years ago
5 0
3 x -2^(n-1)

To answer this question, first solve the equation 3 x -2^(n-1) for n=1, n=2,
n=3, n=4, and n=5.

Where n=1
3 x -2^(1-1)
3 x -2^0
3 x 1
n1 = 3


Where n=2
3 x -2^(2-1)
3 x -2^1
3 x -2
n2 = -6


Where n=3
3 x -2^(3-1)
3 x -2^2
3 x 4
n3 = 12


Where n=4
3 x -2^(4-1)
3 x -2^3
3 x -8
n4 = -24


Where n=5
3 x -2^(5-1)
3 x -2^4
3 x 16
n5 = 48


The next step is to find the summation by adding n1 + n2 + n3 + n4 + n5.

3 + (-6) + (12) + (-24) + (48) =
3 - 6 + 12 - 24 + 48
= 33
The answer is C. 33
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Simplify 7-(x^2-3x+2)-2x(3x^2-x+1)
NeTakaya

Answer:

-6x^3+x^2+x+5

Step-by-step explanation:

distribute (multiply) the 7- into the first set of parenthesis. then distribute (multiply) the -2x into the second set of parenthesis.

3 0
3 years ago
What is the converse of the linear pairs theorem
guapka [62]
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7 0
3 years ago
What is the inverse of f(x) = -5x-4
elena55 [62]

Answer:

\displaystyle f^{-1}(x) = -\frac{1}{5}x - \frac{4}{5}.

Step-by-step explanation:

The question has provided an expression for the function f(x) and is asking for its inverse, f^{-1}(x).

Based on the definition of inverse functions,

f(f^{-1}(x)) = x.

Let y = f^{-1}(x).

f(y) = x.

-5 y - 4= x.

Solve this equation for f^{-1}(x) = y:

-5y = x +4.

\displaystyle y = (-\frac{1}{5})\cdot (x + 4) = -\frac{x}{5} -\frac{4}{5}.

However, f^{-1}(x)=y As a result,

\displaystyle f^{-1}(x) = -\frac{x}{5} -\frac{4}{5}.

8 0
3 years ago
Read 2 more answers
Bed &amp; Bath, a retailing company, has two departments—Hardware and Linens. The company's most recent monthly contribution for
kykrilka [37]

Answer:

By eliminating Linens department net operating income fell by $574,800.00

Step-by-step explanation:

The question requires that the monthly contribution income statement be prepared when the Linens is closed or eliminated,incorporating the unavoidable fixed costs of $373,000 as well as the fall in sales of Hardware by 15%.

             Monthly Contribution Income Statement:

Sales($3,110,000)*(1-15%)                               $2,643,500.00  

Variable expenses($858,000)*(1-15%)          ($729,300.00)

Contribution margin                                        $1,914,200.00  

Fixed expenses($1,480,000+$373,000)      ($1,853,000.00)

Net operating income                                        $61,200.00  

Reduction in net operating=$636,000-$61,200.00=$574,800  

Alternatively:

Lost contribution from closing Linens department    $674,000.00

Lost contribution from Hardware(15%*$2,252,000)   $ 337,800.00  

Total lost contribution                                                   $1,011,800.00  

Less avoidable fixed costs($810,000-$373,000)         ($437,000.00)

Reduction in profits company-wide                                $574,800.00  

8 0
4 years ago
Write the equation of the line in standard form that passes through the point (1, 7) and has a slope of 2. Show all work.
Finger [1]

Answer:

2x - y = - 5

Step-by-step explanation:

First obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = 2 + c ⇒ c = 7 - 2 = 5

y = 2x + 5 ← in slope- intercept form

The equation in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Subtract y from both sides

0 = 2x - y + 5 ( subtract 5 from both sides )

- 5 = 2x - y, that is

2x - y = - 5 ← in standard form

7 0
3 years ago
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