For fog or f(g(x)), plug g(x) into f(x):
2(3x+2)²+x
Then simplify:
2( (3x+2)(3x+2) )+x
2( 9x²+12x+4 )+x
18x²+24x+8 +x
18x²+25x+8
Then you can simplify this further using factoring methods to:
(2x+1)(9x+8)
Hope this helps!! :)
<span>One <u>possible model</u><span> is:
You could place 3 red marble and 1 blue marble in a bag. The probability of drawing a red marble would be 3/4, which is 75%; this means red marbles would be sunny days and blue marbles would be cloudy days.
Each draw out of the bag would represent one day of the week. Draw a marble 7 times, replacing it after each draw. This would represent the weather for the days of the week.</span></span>
eight more than twice a number is less than twenty (what is the expression)
2x+8 <20
Your money grows faster because the interest is added back into the principle and then the next time it compounds you get interest on the new principle amount. So for example, you deposit $100 in an account that gets 5% interest compounded semiannually. The first time it compounds you get $5 added to your account so your new balance is $105. The next time it compounds you get 5% on $105 so you get $5.25 added and so on. If this is only happening semi-annually that would be all you get for the year. But if it happens quarterly you would get would get deposits of $5.51 and $5.79 as well. If it compounds monthly or even daily your money would grow more and more. Hope this helps.
a. true
b. false ( angles should equal 180 125+65=190)
c. true
d. true
e. true