Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:
Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:
The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:
This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
c) 5.39
Step-by-step explanation:
The digit that is in the hundredths place is the 8. (The hundredths are two digits to the right of the point).
The thousandths in this case would be the 9, since the 9 is close to the next hundredth, the nearest hundredth would be 9 (adding 1 to the 8), therefore the number would be 5.39
7x - 5 = 30
* add 5 to both sides
7x = 30 + 5
7x = 35
* divided both sides by 7
(7/7)x = 35/7
<u><em>x = 5</em></u>
Answer:
Average rate of change = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Step-by-step explanation:
The average rate of change of the function
F(t) = 2t^2 - 1 , [ 5,5.1 ]
solution
= 
= [ 2 ( 26.01 - 25 ) / 0.1 ]
= 2.02 / 0.1 = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Answer:
slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.
Step-by-step explanation:
To know the horizontal change between two points you need to know the two points.
