Answer:
exact form: 13 over 6
decimal form: 2.16
mixed number form: 2/ 1 over 6
Answer:
see attached graph
Step-by-step explanation:
Given equation: 
Standard form of a quadratic equation: 
where 
is the y-intercept
If 
then the parabola opens upwards.
If 
then the parabola opens downwards.
Therefore, the y-intercept of the graph is (0, 3)
To find the x-intercepts, factor the equation:
Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)
To determine the vertex, differentiate the equation:
Set to zero and solve for x:
Substitute 
into the original equation and solve for y:
Therefore, the vertex (or turning point) is at (2, -1)
Answer:
900
Step-by-step explanation:
Margin of error = critical value × standard error
The margin of error is given to be 0.05.
At 99.5% confidence, the critical value is z = 3.
The standard error for a proportion is √(pq/n). Since p is not given, we will assume p = 0.5.
0.05 = 3 √(0.5 × 0.5 / n)
n = 900
Answer:
AS far the rope let him go Squared
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
We can solve using ratios
18 lbs 12 lbs
------------ = --------------
4.5 hrs x hours
Using cross products
18x = 12 * 4.5
18x = 54
Divide by 18
18x/18 = 54/18
x=3
