13/20= 0.65
3/4=0.75
4/10=0.4
5/8=0.625
So the right order is 4/10, 5/8, 13/2, 3/4
so the solution is not really a single number but a range, depending on how q is defined. I am assuming q is defined in domain of Real numbers, and then the solution to the inequality will be "all real numbers larger or equal to 4.7"
1) Look for common factors. You see that y^2 is a factor of every term so you can remove it to get
... = (y^2)(3x^2 -2x -8)
The quadratic in x can be factored by your favorite method. There is one called by various names that has you look for factors of (3)(-8) that add to (-2). When the quadratic is written as ax^2+bx+c, you're looking for factors of the product "ac" that add to "b". Of course, you know that
... -24 = -24*1 = -12*2 = -8*3 = -6*4
the last factor pair shown here has a sum of -2, so our factorization is
... = (y^2)(3x -6)(3x +4)/3 . . . . . the "a" coefficient is repeated in each factor (at first), then divided out
... = (y^2) (x -2) (3x +4)
2) You recognize this expression to be of the form
... (x +a)^2 = x^2 +2ax + a^2
where a=5. As a result, you know the factorization is
... = (x +5)^2
3) You recognize this expression to be the difference of squares, so you know the factorization is
... a^2 - b^2 = (a -b)(a +b)
where a=x and b=6. As a result, you know the factorizatin is
... = (x -6) (x +6)
Answer:
Value of h greater than 5.4 will make inequality false.
Step-by-step explanation:
This question is incomplete; here is the complete question.
The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel 750 ≥ 75 + 125h. What value of h does NOT make the inequality true?
From the given question,
Per night expense (expected) = $125
If Jones family stays in the hotel for 'h' days then total expenditure on stay = $125h
Charges for scuba diving = $75
Total charges for stay and scuba diving = $(125h + 75)
Since Jones family has saved $750 for the vacation trip so inequality representing the expenses will be,
125h + 75 ≤ 750
125h ≤ 675
h ≤
h ≤ 5.4
That means number of days for stay should be less than equal to 5.4
and any value of h greater than 5.4 will make the inequality false.
15 miles in 20 minutes.
there are 60 minutes in one hour.
Convert it from minutes to hour