What is the product? (-2x- 9y2 )(-4x-3)

Mathematics

1 answer:

lara [203]3 years ago

4 0

Answer:

$36xy^2 + 8x^2 + 27y^2 + 6x$

Step-by-step explanation:

Use the FOIL method of multiplying binomials.

First term in each binomial: $-2x * -4x = 8x^2$

Outside terms: $-2x * -3 = 6x$

Inside terms: $-9y^2 * -4x = 36xy^2$

Last term in each binomial: $-9y^2 * -3 = 27y^2$

Now, rearrange the terms correctly. $36xy^2 + 8x^2 + 27y^2 + 6x$

This is our final answer, since it can not be simplified any more.

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The sequence {an) is defined by ao = 1 and

otez555 [7]

<h3>Answer: 31</h3>

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Work Shown:

Use the value of a0 to find the value of a1. The idea is you double the previous value, and then add 1.

$a_{n+1} = 2*(a_n) + 1\\\\a_{0+1} = 2*(a_0) + 1\\\\a_{1} = 2*(1) + 1\\\\a_{1} = 3\\\\$

Which is then used to find the value of a2. Follow the same process as before (double the previous value and then add 1).

$a_{n+1} = 2*(a_n) + 1\\\\a_{1+1} = 2*(a_1) + 1\\\\a_{2} = 2*(3) + 1\\\\a_{2} = 7\\\\$

This is used to find a3

$a_{n+1} = 2*(a_n) + 1\\\\a_{2+1} = 2*(a_2) + 1\\\\a_{3} = 2*(7) + 1\\\\a_{3} = 15\\\\$

Finally we can now find a4

$a_{n+1} = 2*(a_n) + 1\\\\a_{3+1} = 2*(a_3) + 1\\\\a_{4} = 2*(15) + 1\\\\a_{4} = 31\\\\$

Recursive sequences like this aren't too bad if n is small, but as n gets larger, things become more tedious. For those cases, its best to try to find a closed form equation. If not, then the next best thing is using a spreadsheet to automate the process.

6 0

3 years ago

Your fuel expense for last year was $800 this year it was $960 what was the percentage of increase. A.23% B.18% C. 15% D.20%

zhannawk [14.2K]

Answer:

The percentage of increase in fuel expenses is 20%

Step-by-step explanation:

Given:

Fuel expense in last year = $800

Fuel expense in this year = $960

To Find:

The percentage of increase