1st night Nickel - 5 pennies
2nd night 5 nickels - 25 pennies
3rd night 14 nickels - 70 pennies
4th night 30 nickels - 150 pennies
5th night 46 nickels
6th night 78 nickels
7th night 126 nickels
8th night 206 nickels
9th night 334 nickels
10th night 542 nickels
So her mother would give Kim 542 nickels on the 10th night.
Differences between number of nickels: 4, 9, 16
9 - 4 = 5
16 - 9 = 7
The pattern is Kim's mom gives her child two more nickels plus the amount of nickels she got the day before.
This was a little tricky so I don't know if this is right but I hope this helps you!
Answer:
143
Step-by-step explanation:
x2 + 12x + 6 + 3x + 1
substitute
(8)2+12(8)+6 +3(8) +1
distrubute
16+96+6+24+1
add like terms
143
Reduce a 24 cm by 36 cm photo to 3/4 original size.
The most logical way to do this is to keep the width-to-height ratio the same: It is 24/36, or 2/3. The original photo has an area of (24 cm)(36 cm) = 864 cm^2.
Let's reduce that to 3/4 size: Mult. 864 cm^2 by (3/4). Result: 648 cm^2.
We need to find new L and new W such that W/L = 2/3 and WL = 648 cm^2.
From the first equation we get W = 2L/3. Thus, WL = 648 cm^2 = (2L/3)(L).
Solve this last equation for L^2, and then for L:
2L^2/3 = 648, or (2/3)L^2 = 648. Thus, L^2 = (3/2)(648 cm^2) = 972 cm^2.
Taking the sqrt of both sides, L = + 31.18 cm. Then W must be 2/3 of that, or W = 20.78 cm.
Check: is LW = (3/4) of the original 864 cm^2? YES.
First you'd work around the parenthesis, getting you a reduced problem of -2x-6-5.
combine like terms to receive -2x-11
now treat the f(x) as Y and you'll get y=-2x-11; toss it onto a graph and plot the individual points (your answer options)
all points except for A do not touch the line, resulting in your answer to be letter A!
hope this helps :)
X*6+1=31
5*6=30
30+1=31
x*7-4=31
5*7=35
35-4=31
Hope this helps! If you have any questions, just ask me!
