Answer:
24x^3-30x^2+36x
Step-by-step explanation:
you distribute.
(2x+3)(4x^2-5x+6)
distribute the 2x first
3(4x^2*2x-5x*2x+6*2x)
then simplify
3(8x^3-10x^2+12x)
then distribute again (I'm distributing and multiplying it out in this step)
24x^3-30x^2+36x
Dividing by:
<span>2's leaving one remainder: </span>
<span>3 5 7 9 11 13 15 ... odd numbers </span>
<span>3's leaving one remainder: </span>
<span>4 7 10 13 16 19 22 25 28 ... common difference 3 </span>
<span>So far: 7 13 19 25 31 37 43 49 .... (common difference is 6) </span>
<span>4's leaving one remainder: </span>
<span>5 9 13 17 21 25 29 33 37 41 45 49 ... </span>
<span>So far: 13 25 37 49 ... common difference of 12 </span>
<span>which happens to be the LCM of 2, 3, and 4 </span>
<span>Notice we started each "so far" with the next number after the LCD at that point. </span>
<span>so.... </span>
<span>LCD of 2,3,4,5,6,7,8,9, and 10 is 2520 </span>
<span>so she had 2521 marbles in her bag. </span>
<span>check a few of them by dividing 2521 by any number from 2 to 10</span>
Double
from initial amont of P to final amount of 2P
so
2P=P(1.071)^time
divide both sides by P
2=1.071^time
take the ln of both sides
ln2=timeln1.071
divide both sides by ln 1.071
(ln2)/(ln1.071)=time needed
using calculator
10.1052=time needed
about 10.1 hours
Answer:
1. 1/3
2. 19/8
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
y = 3x + 9
y = -3x + 12
y=21
