9514 1404 393
Answer:
A. infinite set of points on the line
Step-by-step explanation:
If we assume you're interested in the set of points that are on both lines <em>a</em> and <em>b</em>, that is ...
<em>infinite set of points on the line</em>
The lines are identical lines, so each of the infinite number of points on one of them is also on the other of them.
Answer:
<h3>
29 and 31 </h3>
Step-by-step explanation:
x - some integer
2x+1 - an odd integer (the smaller one)
2x+1+2=2x+3 - the next odd integer consecutive to 2x+1 (the larger)
2×(2x+1) - twice the smaller number
2x+3+2•(2x+1) -the sum of the larger number and twice the smaller number
4•(2x+1) - four times the smaller number
4•(2x+1)-27 - 27 less then four times the smaller number
2x + 3 + 2•(2x + 1) = 4•(2x + 1) - 27
2x + 3 + 4x + 2 = 8x + 4 - 27
6x + 5 = 8x - 23
-5 -5
6x = 8x - 28
-8x -8x
-2x = - 28
÷(-2) ÷(-2)
x = 14
2x+1 = 2•14 + 1 = 29
2x+3 = 2•14 + 3 = 31
Check: 31+2•29=31+58=<u>89</u>; 4•29-27=116-27=<u>89</u>
Answer:
Step-by-step explanation:
- Capacity of the container = 24000 kg
- Loaded weight = 3900 kg
- Number of crates = x
<u>Required inequality:</u>
<u>Solving:</u>
- 50x ≤ 20100
- x ≤ 20100/50
- x ≤ 402
Answer:
8x+6y
Step-by-step explanation:
Combine like terms:
12x-4x=8x
+11y-5y=6y (because 11 is the bigger number and 5 is smaller, the answer is positive [+])
Answer:
The prices of the two stocks will be the same in 1.56 hours.
Step-by-step explanation:
The price of Stock A at 9 A.M. was $12.95 Since then, the price has been increasing at the rate of $0.12 each hour.
This means that after x hours, the value of Stock A is:
After noon:
Noon is 3 hours after 9 AM, so
So in x hours after noon, the value is given by:
At noon the price of Stock B was $13.70. It begins to decrease at the rate of $0.13 each hour.
This means that after x hours, the value of Stock B is:
In how many hours will the prices of the two stocks be the same?
This is x for which:
The prices of the two stocks will be the same in 1.56 hours.
