Answer:
They have opposite signs. if x=16 then y should be -16 for their sum to be zero.
Answer:
The unlimited mileage plan would save money for Lia from 410 miles onwards.
Step-by-step explanation:
Since Lia can rent a van for either $ 90 per day with unlimited mileage or $ 50 per day with 250 free miles and an extra 25 ¢ for each mile over 250, to determine for what number of miles traveled in one day would the unlimited mileage plan save Lia money, the following calculation must be performed:
90.25 - 50 = 40.25
40.25 / 0.25 = 161
161 + 250 = 411
Therefore, the unlimited mileage plan would save money for Lia from 410 miles onwards.
Answer:
1.475
Step-by-step explanation:
Answer:
The equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
Step-by-step explanation:
The expression |x| < a is equivalent to -a < x < a and the expression |x| > a is equivalent to {x : x < -a} ∪ {x : x > a}.
This means, the set of all points that satisfy the inequality |x| < a is the set of all points between -a and a exclusive of -a and a.
The set of all points that satisfy the inequality |x| > a is the set of all points that are less than -a and the set of all points that are greater than a.
Hence, the equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
Answer:
Perimeters = 3 in : 7 in
Areas = 9 in² : 49 in²
Step-by-step explanation:
<em>If the figures are </em><em>squares</em><em>, and the measurements are the length of that sides (as you have said), then we will do the following. </em>
[The left square]
P = 4a
P = 4(15)
P = 60 in
-
A = a²
A = 15²
A = 225 in²
[The right square]
P = 4a
P = 4(35)
P = 140 in
-
A = a²
A = (35)²
A = 1,225 in²
[Simplifying ratios]
Perimeters = 60 in : 140 in
Perimeters = 6 in : 14 in
Perimeters = 3 in : 7 in
-
Areas = 225 in² : 1,225 in²
Areas = 45 in² : 245 in²
Areas = 9 in² : 49 in²
