Answer:
The travel time of the trip is 8.55 hours
Step-by-step explanation:
The average speed of an object is calculated using the following formula:
Where 
is the total distance traveled by the object and t is the time it took the object to travel that distance.
So we know that:
Therefore:
The middle number is:
9.4 + ((17.9-9.4)/2) = 13.65
Or you can find it like this:
(9.4+17.9)/2=13.65
Answer:
No... provided no other information or no graph is provided.
Step-by-step explanation:
You can find the x-coordinate of the vertex which can be calculated using the two given x-intercepts. Using the symmetry of the parabola, it would just mean the vertex should lay midway between the x's. So the x-coordinate of the vertex is (12+35)/2=47/2.
However, we do not have enough information about the relationship between x and y to find the y-coordinate of the vertex.
All we are given is y=a(x-12)(x-35) (where a is real number) since we know the relationship is quadratic, and the zeros are 12 & 35.
So we could have many possible y-coordinates for our vertex since we don't know the value of a in our equation and we can plug in our x-coordinate for our vertex to find them all.
y=a(47/2-12)(47/2-35)
I'm just going to put everything to right of a in calculator:
y=-529/4 ×a
So that's all the possible y-coordinates for the vertex.
-7 2/10 which can be simplified to -7 1/5, or if you need an improper fraction it would be 72/10
Answer:
22
Step-by-step explanation:
Let Raju's age = x
Nadia is twice as old as Raju, so her age is 2x
Nadia is half as old as Bernard, so Bernard's age is 4x
In 22 years' time, Bernard will be twice as old as Raju. We can write an equation to represent this.
4x + 22 = 2(x + 22)
The 4x + 22 represent's Bernard's age in 22 years' time. The 2(x + 22) illustrates that Bernard will be twice as old as Raju in 22 years' time, or in other words, Raju will be half as old as Bernard.
Solve the equation.
4x + 22 = 2x + 44
2x = 22
Since the question asks us to find Nadia's present age, and we have represented Nadia's age as 2x, we don't have to solve any further.
Nadia's present age is 22.
