1. Write an equation in point-slope form of the line that that passes through the point (4,-5) and has a

Mathematics

1 answer:

Aleks04 [339]2 years ago

7 0

Answer:

y + 5 = (3/2)(x - 4)

Step-by-step explanation:

The point-slope formula is y - k = m(x - h). We get h and k from the given point: h = 4 and k = -5, and m from the given slope: 3/2. Then we have:

y + 5 = (3/2)(x - 4)

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The function that represents bruce’s elevation in feet over time in hours is an exponential function that starts at 1,505 feet.

Strike441 [17]

Answer:

<h3>The function for Bruce’s elevation is $f(x)=1505(6)^x$ and because b=6 that is greater than 0, it is an exponential growth function.</h3>

Step-by-step explanation:

We are given initial Bruce’s elevation = 1,505 feet.

Each successive hour, his average elevation change for the hike becomes 6 times the previous hourly elevation change.

We know, the exponential function $f(x)=a(b)^x$ , where a is the initial value, b is the growth factor and x is the exponent represents time in hours.

Therefore, initial value a=1505, growth factor b for exponential function $f(x)=a(b)^x$ is 6.

Plugging a=1505 and b=6 in $f(x)=a(b)^x$ , we get

$f(x)=1505(6)^x$

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<h3>Therefore, the function for Bruce’s elevation is $f(x)=1505(6)^x$ and because b=6 that is greater than 0, it is an exponential growth function.</h3>

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3 years ago

Given f(x)= 3x+2, what is the Inverse Function?

Grace [21]

Answer:

Step-by-step explanation:

For this case we must determine the inverse of the following function:

$f(x)=3x-2$