Write the equation for this situation, then give the x-intercept, y-intercept, and slope. A person is wanting to burn 500 calories a day through excercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running. ALSO - explain what the x and y-intercepts mean in this situation. Your

-intercept is

-intercept is

Step-by-step explanation:

Let denotes time denoted (in minutes) by a person in jogging.

Let denotes time denoted (in minutes) by a person in running.

A person is wanting to burn 500 calories a day through exercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running.

So, equation becomes

For -intercept, put

So, -intercept is

For -intercept, put

So, -intercept is

Differentiate equation with respect to

intercept means that a person spends 68.5 minutes in jogging and no time in running.

intercept means that a person spends 44.2 minutes in running and no time in jogging.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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