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2 years ago

12xy-44y+5 determine if it is prime or factorable

Mathematics

1 answer:

Elza [17]2 years ago

8 0

PrimeAnswer:

Step-by-step explanation:

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Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

$x+3=xr^2$

Solve for x. From the second term, we can divide both sides by x:

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

We can multiply both sides by x:

$x(x+3)=(x+2)^2$

Expand:

$x^2+3x=x^2+4x+4$

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

4 0

3 years ago

Ms. Steven creates a drawing in her kitchen. Her drawing is 7cm in length and 4cm in width. The scale on the drawing is 1cm = 3f

marysya [2.9K]

Answer:

7cm=7×3ft=21ft

4cm=4×3ft=12ft

here

length=21ft

breadth=12ft

now

area= l×b

=21ft×12ft

=252ft^2

6 0

3 years ago

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Ramesh examined the pattern in the table.

nikdorinn [45]

Answer:

Step-by-step explanation:

4 0

2 years ago

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Mason spent 15.85for 3 notebooks and 2 boxes of markers. the boxes of markers cost 3.95 each, and sales tax was 1.23. Mason also

Likurg_2 [28]

Multiply the amount of the notebooks which is 3, by the cost of the notebook, which is $15.85. that is $47.55.

to find how much it costs with the coupon, do the notebook cost and subtract that by 0.75

$47.55 - 0.75 = $46.8

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2 years ago

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Find the value of b if the following figures are similar.

chubhunter [2.5K]

Answer:

Step-by-step explanation:

20 - 12 = 8

15 - b = 8

-b = 8 - 15

b = 7 ( -ve signs will become +ve)

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3 years ago

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