Use the information about budgets on page 352 to explain how inequalities are used in finances. include an explanation of the restrictions placed on the domain and range of the inequality that describes the number of times hannah can buy lunch. describe three possible solutions of the inequality. ( info ) hannah budgets $30 a month for lunch. on most days, she brings her lunch. she can also buy lunch at the cafeteria or at a fast-food restaurant. she spends an average of $3 for lunch at the cafeteria and an average of $4 for lunch at a restaurant. how many times a month can hannah buy her lunch and remain within her budget? the cost of eating in the cafeteria plus the cost of eating in a restaurant is less than or equal to$30. let x = the number of days she buys lunch at the cafeteria. let y = the number of days she buys lunch at a restaurant 3x +4y ≤30 there are many solutions for this inequality. each solution represents a different combination of lunches bought in the cafeteria and in a restaurant.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²