Please answer this, I really need help!!!

Mathematics

1 answer:

gtnhenbr [62]3 years ago

8 0

Answer:

a. Juan

b. J(t) = A(t) at t = 7 minutes

c. J(t) > A(t) for the interval 0 ≤ t ≤ 7

Step-by-step explanation:

a. From the graph, Juan completes the 4-mile bike race in 13 minutes while Antonio completes the 4-mile bike race in 15 minutes, therefore, Juan completes the distance first and wins the race

b. From the graph, the line of the graph of the functions J(t) and A(t) are equal at the time t = 7 minutes

Therefore;

J(t) = A(t) at t = 7 minutes

c. The value of the function, and the line of the graph of the function, J(t) is larger than and above the value and the line of the graph of the function A(t) for the interval 0 ≤ t ≤ 7

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Read 2 more answers

ch4aika [34]

The range of the function g(x) is {y : -5 < y <∞}

<h3>How to determine the range?</h3>

The function is given as:

g(x) = f(x) - 5

The above means that the minimum value of g(x) is 5 less than the minimum value of f(x)

Assume that f(x) = 0;

Then we have:

g(x) = 0 - 5

This gives

g(x) = -5

This means that g(x) cannot be less than -5

Hence, the range of the function g(x) is {y : -5 < y <∞}