Answer:
x=11/5, or x=2.2.
Step-by-step explanation:
9-3(x+4)=2(x-3)-8
9-3x-12=2x-6-8
9-12-3x=2x-14
-3-3x=2x-14
-3-3x-2x=-14
-3-5x=-14
5x=-3-(-14)
5x=-3+14
5x=11
x=11/5
x=2.2
Answer:
c
Step-by-step explanation:
6 years
A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now. This is an exponential function, An exponential function is given by:
Let x be the number of years and y be the allowance. The initial allowance is $8, this means at x = 0, y = 8
Since it increases by 20% each year, i.e 100% + 20% = 1 + 0.2 = 1.2. This means that b = 1.2
Therefore:
To find the number of years will it take to reach $20 per month, we substitute y = 20 and find x
x = 6 years to the nearest year
Answer:
See below in bold.
Step-by-step explanation:
If we draw a line from the point of intersection to the longest side of the rectangle it will meet it at the midpoint.
The same thing will happen when the line is draw to the shortest side.
So the point of intersection is 1/2 * 7 = 3.5 cm from the longest side and 15/2 = 7.5 cm from the shortest side.
The formula for percent error is:
((Approximate value - exact value) / exact value) x 100
1) 14-12 = 2
2/12 = 0.1666
0.166 x 100 = 16.7% (Rounded to nearest tenth)
2) 231 - 215 = 16
16/215 = 0.74419
0.74419 x 100 = 7.4419% ( Round as needed)
3) 17.1 - 16.5 = 0.6
0.6/16.5 = 0.36364
0.36364 x 100 = 3.6364% (Round off as needed)
4) 1081 - 1150 = -69
-69/1150 = -0.06
-0.06 x 100 = -6% = 6% error