Step-by-step explanation:
first inequality :
x + 2y ≥ 10
second inequality :
x - y ≤ -2
Answer:
34
Step-by-step explanation:
17% of 100 is 17, so you can put that into a proportion, 17/100. We need to find what the numerator will be if the denominator is 200. Since you multiply 100 by 2 to get to 200, you have to do the same to the top, and 17x2 is 34.
Therefore, the correct answer is 34.
Hope I helped!!!
Answer:
= .0000001
Step-by-step explanation:
The odds of getting 1 number of out the 10 possible number (0-9) equal 10 is 1/10
There are 7 numbers to pick
P(xxx-xxxx) = 1/10 * 1/10 *1/10 * 1/10 * 1/10 * 1/10 *1/10
= .0000001
Answer:
3x^2 + 3 --> 6, 15, 30, 51
2x^2 - 1 --> 1, 7, 17, 31
x^2 + 2 --> 3, 6, 11, 18
Step-by-step explanation:
Let's start with the first equation; 3x^2 + 3
Substitute 1 (the first digit in a sequence) for x.
3(1^2) + 3
3(1) + 3
3 + 3 = <u>6</u>
3(2^2) + 3 Then the second digit.
3(4) + 3
12 + 3 = <u>15</u>
Since the two numbers we have so far are 6 and 15, there is only one sequence this could match. 6, 15, 30, 51.
2(1^2) - 1
2(1) - 1
2 - 1 = <u>1</u>
This equation represents 1, 7, 17, 31.
These same steps apply to the other equation as well.
1^2 + 2, then 2^2 + 2, then 2^2 + 2, and so on. (But we don't need to do extra work to figure that out.)