Answer:
3710
Step-by-step explanation:
265 * 14
multiply 4 by 5, then 4 by 6, then 4 by 2 which would look like this 860
then you multiply 1 by 5, then 1 by 6, then 1 by 2 which should loo like 2650
it looks like that because for every digit you multiply by except the first you add a zero in front of it. then you add those two up which adds up to 3710 you're welcome. :}
1. C
2. A
Hope this helped, enjoy your day.
1. 23.5 x 2.3 = 54.05
when you are multiplying decimals you have to line up the decimal point.
example:
23.5
2.3
2. 12.34 x 4.321 = 53.32114
once again you need to line up your decimals when multiplying two decimals.
example: however I had to add a zero to the number 12.34 so everything would line up correctly. I hope you understand that.
12.340
4.321
Simplify (x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)
The first thing I have to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a "1" in front of the parentheses, to help them keep track of the minus sign.
Here's what the subtraction looks like, when working horizontally:
(x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)
(x3 + 3x2 + 5x – 4) – 1(3x3 – 8x2 – 5x + 6)
(x3 + 3x2 + 5x – 4) – 1(3x3) – 1 (–8x2) – 1(–5x) – 1(6)
x3 + 3x2 + 5x – 4 – 3x3 + 8x2 + 5x – 6
x3 – 3x3 + 3x2 + 8x2 + 5x + 5x – 4 – 6
–2x3 + 11x2 + 10x –10
And here's what the subtraction looks like, when going vertically:
x
3
−(3x
3
+3x
2
−8x
2
+5x
−5x
−4
+6)
In the horizontal addition (above), you may have noticed that running the negative through the parentheses changed the sign on each and every term inside those parentheses. The shortcut when working vertically is to not bother writing in the subtaction sign or the parentheses; instead, write the second polynomial in the second row, and then just flip all the signs in that row, "plus" to "minus" and "minus" to "plus".
\
x
3
–3x
3
−2x
3
+3x
2
+8x
2
+11x
2
+5x
+5x
+10x
−4
–6
−10
Either way, I get the answer:
–2x3 + 11x2 + 10x – 10
C. An arithmetic sequence with common difference 6