Answer:
No solution
Step-by-step explanation:
1 = 1/3(2) + 5
1 = 17/3
1 is not equal to 17/3
so the answer has no solution meaning the point does not exist in the graph.
<span>9 x 10^4 (Scientific notation)
9e4 (Scientific e notation
= 90000 (Real Number)</span>
Step-by-step explanation:
The x-intercept is the point where the graph touches the x-axis, which means y=0. So let's set y=0 in your equation, and we receive
(x-5)^2 + (0+12)^ = 169
which means
(x-5)^2 = 25
Solve this, and get x=10 or x=0.
This means the x-intercepts are (10,0) and (0,0).
Try doing the same for y.
Answer:
The relationship is proportional for the turtle and the equation is Distance = 54*Time
Step-by-step explanation:
Turtle’s run:
Distance (meters) | Time (minutes)
108 | 2
405 | 7.5
540 | 10
1768.5 | 32.75
Rabbitt’s run:
Distance (meters) | Time (minutes)
800 | 1
900 | 5
1107.5 | 20
1524 | 32.5
The relationship between distance traveled and time is proportional if this equation is satisfied:
Distance = k*Time or k = Distance/Time
where k is a constant
For the turtle:
108/2 = 405/7.5 = 540/10 = 1768.5/32.75 = 54
Then, the relationship is proportional and the equation is Distance = 54*Time
For the rabbit:
800/ 1 = 800
900/5 = 180
1107.5/20 = 55.375
1524/32.5 = 46.89
Then, the relationship is not proportional.
-1 17/20 and -1 8/10 can be compared easily if we give them common denominators. If we multiply the second fraction by 2, both fractions will have a denominator of 20.
8 * 2 = 16
10 * 2 = 20
New fraction: 16/20
-1 17/20 vs. - 1 16/20
-1 16/20 (-1 8/10) is greater. (For negative numbers, you can tell which one is greater by determining which one is closest to zero.)
