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anyanavicka [17]
3 years ago
12

Which polynomials, given in square inches, could represent the area of a square with whole number side lengths if x is a whole n

umber greater than 2? Remember, the formula for the area of a square is A = s2. Check all that apply.
a) x2 − 9
b) x2 −100
c) x2 − 4x + 4
d) x2 + 10x + 25
e) x2 + 15x + 36
Mathematics
2 answers:
Natalija [7]3 years ago
5 0
X2 - 4x + 4 and x2 + 10x + 25 are both correct.
Deffense [45]3 years ago
5 0

Answer: Option c) and d) are correct.

Explanation: Since, we know that the area of a square, A= s^2, where,  s is the side of a square, and it always be a positive number and makes a perfect square.

In option (a),  x^2-9 does not gives a perfect square for all the values of x>2, where x is a whole number. So, it can not be the area of a square.

Similarly, option (b) and (e) can not give the perfect square for all the values of x greater than 2.

But, In option (c) and (d) equations make the perfect square.

Because, x^2+10x+25=0\Rightarrow (x+5)^2 and this gives a perfect square for every value of x. So, it can be the area of a square.

Similarly, x^2-4x+4=0\Rightarrow (x-2)^2 which also gives a perfect square for every value of x. So, it also can be the area of a square.

Thus, option (c) and (d) are the correct options.




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4 0
3 years ago
A charter airline finds that on its Saturday flights from Philadelphia to London, all 120 seats will be sold if the ticket price
Nataliya [291]

Answer:

a) P=3(120-s)+200

b) 215 \leq P \leq 290

Step-by-step explanation:

For this case we can use a linear model to solve the problem.

s) Create an equation to express the increase on the price tickets and the number of seats sold

s number of seats, if w analyze the info given the number of seats after increase the price is given by 120-s.

And let P the price for the ticket. So after the increase in ticket price the expression for the increase is P-200.

We have an additional info, for each increase of $3 the number of setas decrease 1. And the equation that gives to us the price change in terms of the increase of price is:

P-200=3(120-s)

So then our linear equation is given by:

P=3(120-s)+200

b) Over a certain period, the number of seats sold for this flight ranged between 90 and 115. What was the corresponding range of ticket prices?

So for this case we just need to replace the limits into the linear equation and see what we got:

P_L=3(120-90)+200=290

P_U=3(120-115)+200=215

So the corresponding range of ticket prices is:

215 \leq P \leq 290

4 0
3 years ago
Solve the inequality for x and identify the graph of its solution.
Naddik [55]

Answer:

the answer is B

hope the answer may help you

3 0
2 years ago
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