Answer:
Step-by-step explanation:
-4x+5y≥-5
when y=0,-4x≥-5
x≤5/4
when x=0,5y≥-5
y≥-1
draw a line through (5/4,0) and (0,-1)
put x=0,y=0
0≥-5
therefore origin lies on the graph.
- The value of the n is 8.
- There are 7 positive integers between 100 and 200 which are divisible by 14.
<u>Step-by-step explanation:</u>
The sum of first n odd positive integer is n^2. The nth odd number is 2n-1.
i.e. 1 + 3 + ........+ (2n-1) = n^2.
1 + 3 +..........+ (2n-1) = 64
n^2 = 64
n = 8.
The positive integers between 100 and 200 which are divisible by 14 are 112, 126, 140, 154, 168, 182, 196. It is obtained by the multiples of 14 between 100 and 200.
100 = 7 * 14 + 2
200 = 14 * 14 + 4. The answer is 14 - 7 = 7
The seven numbers are
14 * 8 = 112
14 * 9 = 126
14 * 10 = 140
14 * 11 = 154
14 * 12 = 168
14 * 13 = 182
14 * 14 = 196
Answer:
X>5
Step-by-step explanation:
Since the initial deposit is given as $2500 then to get more than $4000, Mr. Brown needs additional 4000-2500=$1500
Since each month he deposits $300 then after x months he will have more than $1500 additional.
4000<300x+2500
Collecting like terms
4000-2500<300x
1500<300x
Simplifying
5<x
Or
x>5
Hopes this helps:
Answer: B. x^8y^8
Have a great day.