Answer:
x = 5
y = 11
Step-by-step explanation:
y = 4x - 9
2x -3(4x - 9) = -23
2x - 12x + 27 = -23
-10x = -23 -27
-10x = -50
minus cancels out
x = 5
y = 4(5) -9
y = 20 - 9
y = 11
Answer:
It will take you 0.24 hour to ride to your grandparents’ home
It will take you 14 minutes to ride to your grandparents’ home
Step-by-step explanation:
- Your average speed is 15 miles per hour
- The distance to grandmother home is 3.67 miles
- You need to know how long it will take you to do that
∵ Distance = speed × time
∵ Distance = 3.67 miles
∵ Speed = 15 miles per hour
- Substitute these values in the rule above
∴ 3.67 = 15 × time
- Divide both sides by 15 to find the time
∴ Time = 0.24 hour
* It will take you 0.24 hour to ride to your grandparents’ home
- You need to convert the time from hour to minutes
∵ 1 hour = 60 minutes
∵ Time = 0.24 hour
∴ Time = 0.24 × 60 = 14.4
∴ Time ≅ 14 minutes
* It will take you 14 minutes to ride to your grandparents’ home
Table:
x y
-3 0.5
-2 1
-1 2.5
0 5
1 8.5
Now, y = ax^2 + bx + c
Start replacing x = 0 and y = 5
5 = a(0) + b(0) + c => c = 5.
Now, replace any other two pair of data:
(-2, 1) => -1 = a(-2)^2 + b(-2)
-1 = 4a - 2b
(1, 8.5) => 8.5 = a(1)^2 + b(1)
8.5 = a + b
Solve the system
4a - 2b = - 1
a + b = 8.5
=>
4a - 2b = - 1
2a + 2b = 17
-------------------------
6a = 16
=> a = 16 / 6 = 8/3
b = 8.5 - a = 17/2 - 8/3 = 35/6
=> y = (8/3)x^2 + (35/6)x + 5 <--------- answer
Answer:
37.22
Step-by-step explanation:
The measures of the angles in a triangle add up to 180°.
