Answer:
If the slopes are different, there is one solution.
If the slopes the same but the y intercepts different, there is no solution.
If the slopes and y intercepts are the same, there are infinitely many solutions.
2x + y = 4
2y = 6 - 2x
Solve for y on both
y = 4 - 2x
y = 3 - x
They are both different, so there is one solution
Step-by-step explanation:
Answer:
1/36
Step-by-step explanation:
Since Tess rolled 2 different dices, there are 36 different possibilities. Rolling two 4's is 1 of them.
Therefore, the probability of Tess rolling 2 fair dice is 1/36
Hope this helped have a great rest of your day!
First substitute y=5x+7 so that would turn into 5x+7=6x
Then, isolate/solve for x for 5x + 7 = 6x, in this problem x=7
Substitute x=7 into y=5x+7
y=42
x=7, y=42
(7,42)
Answer:
vertex at (1, -3)
Step-by-step explanation:
When x = 0
y² + 6y + 1 = 0
y² + 6y + = -1
y² + 6y + 9 = -1 + 9
(y + 3)² = 8 or (-y - 3)² = 8
y + 3 = √8 or -y - 3 = √8
y = - 3 +√8 or y = -3 - √8
(0, - 3 +√8) and (0, -3 - √8)
The mid point between these two is the average
y = ( - 3 + √8 + -3 - √8) / 2 = - 3
y² + 6y + 8x + 1 = 0
(-3)² + 6(-3) + 8x + 1 = 0
9 - 18 + 1 = -8x
- 8 = -8x
x = 1
Answer:
The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.
Step-by-step explanation:
The average speed is given by the following equation:
From 10A.M. to noon.
You traveled at 50mph during 2 hours. So how long you traveled?
You traveled 100 miles.
What was your average speed over the time interval from 9 A.M. to noon
From 9 A.M. to 10 A.M, you did not travel.
From 10 P.M. to noon, 100 miles.
So 100 miles during 3 hours.
The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.
