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4 years ago

Simplify the expression below: 2(4x + 5y)

Mathematics

2 answers:

Alexxx [7]4 years ago

8 0

Answer:

8x + 10y

Hope this helps!

Paraphin [41]4 years ago

6 0

Answer: 8x+10y

Step-by-step explanation: you to distribute the 2 in the parentheses and the you will have 8x+10y but you can't combine uncommon symbols

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what’s the slope and y intercept of the loire that is perpendicular to y=-2x-5 and passes through the point (-3,-6)

Doss [256]

Answer:

slope: ½

y-intercept: -4½

Step-by-step explanation:

Slope: negative reciprocal of -2

-1/-2 = 1/2

y = ½x + c

-6 = ½(-3) + c

-6 = -3/2 + c

c = -6 + 3/2

c = -9/2 = -4½

8 0

3 years ago

Find the generating function for the sequence 1,-2,4,-8, 16, ...

kirill [66]

Answer:

$a(x)=\dfrac{1}{1+2x}$

Step-by-step explanation:

The generating function a(x) produces a power series ...

$a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots$

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

$a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}$

This can be rearranged to ...

$a_n+2a_{n-1}=0$

We can formulate this in terms of a(x) as follows, then solve for a(x).

$\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}$

The generating function is ...

a(x) = 1/(1+2x)

3 0

3 years ago

Read 2 more answers

A wire is in the shape of a rectangle Pentagon of side 12 centimetres. It is rebent into the shape of a rectangle whose length i

VashaNatasha [74]

Answer

Total Length of Wire = Perimter of Pentagon

= 12 × 5 = 60 cm

Perimeter of Rectangle = 2 (l + b)

Given, l = 3/2 b

Therefore,

2(3/2 b + b) = 60

2 (5b/2) = 60

5b = 60

Breadth b = 12 cm

Length l = 3/2 × 12 = 18 cm

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3 years ago

An item is regularly priced at $57. It is now priced at a discount of 55% off the regular price.

Irina-Kira [14]

Answer:

the item would cost 25.65

Step-by-step explanation:

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3 years ago

87.039 as a mixed number

balandron [24]

Answer:

87 39/1000

Step-by-step explanation:

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3 years ago