Answer:
The correct answer is 54 units
Answer:
A. 1.4 times
Step-by-step explanation:
The factor in this exponential function is 1.4.
Please see the attachment.
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Step-by-step explanation:
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Given:
A train travels 288 km at a uniform speed.
If the speed has been 4 km per hour more it would have taken one hour less for the same journey.
To find:
The initial speed of the train.
Solution:
Let x km/h be the initial speed on the train.
New speed of train = (x+4) km/h
We know that,

Time taken by the train initially to cover 288 km is
hours.
New time taken by the train to cover 288 km is
hours.
It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.





Splitting the middle term, we get




We know that the speed cannot be negative. So, the only possible value of x is 32.
Therefore, the speed of the train is 32 km/h.
Answer:
(5, - 9)
Step-by-step explanation:
Given
f(x) = (x - 8)(x - 2) ← in factored form
Find the zeros by equating f(x) to zero, that is
(x - 8)(x - 2) = 0
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x - 2 = 0 ⇒ x = 2
The vertex lies on the axis of symmetry which is located at the midpoint of the zeros, hence
=
= 5
Substitute x = 5 into f(x) for corresponding y- coordinate
f(5) = (5 - 8)(5 - 2) = (- 3)(3) = - 9
vertex = (5, - 9)