Answer:
A. The situation is discrete B. i. { x : 0 ≤ x ≤ 6; x ∈ Z} ii. { C = 5x : 0 ≤ C ≤ 30; C ∈ Z}
Step-by-step explanation:
A. The situation is discrete since we have integral values for the amount paid per mile walked. The amount per mile is $5 and is only paid if a complete mile is walked. So, it is a discrete situation.
B. i. Since 0 miles represents 0 distance and the student walks a maximum of 6 miles, let x represent the distance walked. So the domain is 0 ≤ x ≤ 6 where x ∈ Z where Z represent integers.
{ x : 0 ≤ x ≤ 6; x ∈ Z}
ii. Since at 0 miles the amount earned is 0 miles × $5 per mile = $ 0 and at the maximum distance of 6 miles, the amount earned is 6 miles × $5 per mile = $ 30, let C represent the amount donated in dollars. So the range is 0 ≤ C ≤ $ 30 where C = 5x.
{ C = 5x : 0 ≤ C ≤ 30; C ∈ Z}
Answer:
12 units
Step-by-step explanation:
From the given figure, it can be seen that AB=BC, thus
From ΔBEC, using the Pythagoras theorem, we have
Now, from ΔABE, using the Pythagoras theorem, we have
Thus, the measure of AE is 12 units.
Answer:
y = -4/5x + 2/5
Step-by-step explanation:
.1x+.2y=-1
.5x-.9y=6.4
×-5 equation .1x+.2y=-1
-.5x-y=5
.5x-.9y=6.4
solve by elimination
-1.9y=11.4
÷-1.9 both sides
y=-6
solve for X
.1x+.2 (-6)=-1
.1x-1.2=-1
+1.2 both sides
.1x=.2
÷ 1 both sides
x=2
plug into 2nd equation to see if it's true
x=2
y=-6
0.5(2)-0.9(-6)=6.4
1+5.4=6.4
6.4=6.4 answers hold true
Each step subtracts 3 from the previous number.
14 - 3 = 11
11 - 3 = 8
The sequence will continue:
8 - 3 = 5
5 - 3 = 2
2 - 3 = -1
Etc.
14, 11, 8, 5, 2, -1...
