Answer:
Race completed in 48 minutes.
Step-by-step explanation:
Let the speed of Max on hoverboard is = x
Then as per question speed of Victoria on hoverboard = 3x
Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3
Now we will form the equation.
As we know the formula speed = distance/time
Let the time taken by both to complete the race be t minutes.
Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard
Then the equation will be
12(3x)+(1/3)x(t-12)=xt






So 48 minutes it took to complete the race.
Answer:
The possible values are a = -2.5 or a = 4.5.
Step-by-step explanation:
Composite function:
The composite function of f(x) and g(x) is given by:

In this case:


So

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).
This means that when
. So


Solving a quadratic equation, by Bhaskara:



The possible values are a = -2.5 or a = 4.5.
Answer: y=-x+4
Step-by-step explanation:
Multiplying both sides of an equation by the same number keeps the equation true. In this example, both sides are multiplied by 3, so the equation isn't changed.
<span>t+3/2 = 1/2 // - 1/2
t+3/2-(1/2) = 0
t+3/2-1/2 = 0
t+1 = 0 // - 1
t = -1</span>