<span>To solve the problem shown above, you must apply the following proccedure:
1. You have the following system of inequalities given in the problem above:
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y≤-3x -2
y≥<span>2x + 1
2. When you graph the equations of the line: </span>y =-3x-2 y ; y =2x + 1, and then you evaluate the inequalities, you can obtain the region formed in the first graph.
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Therefore, the answer is: The graph that represents the system of inequalities is the Graph Number 1.</span>
Answer:
Step-by-step explanation:
The GCF of the group (6x - 3) is 3. The common binomial factor is 2x-1. The factored expression is (7x+3)(2x-1).
Average speed=totaldistance/ttoaltime
d=rt
40mph for 30mins (1/2 hr), travels 20mi
rest for 15min (1/4 hr), travels 0mi
swims at 32mph for 45min (3/4hr), travels 96/4=24mi
total distance=20+0+24=44
total time=1/2+1/4+3/4=1 and 1/2=3/2
44/(3/2)=44 times 2/3=88/3=29 and 1/3
about 29 and 1/3 mph
She'll have 17 with a remainder, just divide 139 by 8.
Answer:
6, 2, 2/3, 2/9, 2/27, 2/81
Step-by-step explanation:
The nth term of a geometric progression is expressed as;
Tn = ar^n-1
a is the first term
n is the number of terms
r is the common ratio
Given
a = 6
r = 1/3
when n = 1
T1 = 6(1/3)^1-1
T1 = 6(1/3)^0
T1 = 6
when n = 2
T2= 6(1/3)^2-1
T2= 6(1/3)^1
T2 = 2
when n = 3
T3 = 6(1/3)^3-1
T3= 6(1/3)^2
T3= 6 * 1/9
T3 = 2/3
when n = 4
T4 = 6(1/3)^4-1
T4= 6(1/3)^3
T4= 6 * 1/27
T4 = 2/9
when n = 5
T5 = 6(1/3)^5-1
T5= 6(1/3)^4
T5= 6 * 1/81
T5 = 2/27
when n = 6
T6 = 6(1/3)^6-1
T6= 6(1/3)^5
T6= 6 * 1/243
T6 = 2/81
Hence the first six terms are 6, 2, 2/3, 2/9, 2/27, 2/81