Ihave tried to to write the inequality for this but not unsure of my answer, me. here it college is currently accepting students that are both in-state and out-of-state. they plan to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students. let x = the number of out-of-state students and y = the number in-state students.

i think the answer is x> 0 and y> 0

Answers:

where x and y are integers

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Explanation:

x = number of out-of-state students

y = number of in-state students

both x and y are integers (basically numbers that dont have a decimal portion)

Given fact 1: "They plan to accept two times as many in-state students as out-of-state"

Given fact 2: "they only have space to accept 200 out-of-state students"

Because of fact 1 above, we can say y = 2*x or y = 2x. Whatever the x value is, we multiply by 2 to get the y value.

Based on fact 2, we know that x cannot exceed 200. Put another way, the largest x can get is 200. So we write . At the same time, x cannot be less than 0, so we also say which is the same as

Combine and to form the compound inequality

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From here, multiply all three sides by 2 to get the following

note the replacement of 2x with y (since y = 2x)

which shows that the college will accept up to 400 new in-state students.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!