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Keith_Richards [23]
3 years ago
13

How to graph the function f(x)=-2/3x+490

Mathematics
2 answers:
julia-pushkina [17]3 years ago
7 0
Start on the y-axis and put a point at 490 bc it the y-intercept and then from there go up 2 and right 3 and put a point there and keep going and to go down you just go down 2 and left 3 and the point it.
Kisachek [45]3 years ago
4 0

Answer:

Start at 490 then go down 2 left 3

Step-by-step explanation:

I did this to

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Air pressure may be represented as a function of height (in meters) above the
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Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3>  P(h) =P_0e^{-0.00012h} </h3><h3> In this function P_o   is the air pressure at the surface of the earth, and h is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

P(h) =P_0e^{-0.00012h}

In order to calculate at what  height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute P(h)=0.5P_o into the function:

0.5P_o=P_0e^{-0.00012h}

2. Finally, you must solve for h.

Remember the following property of logarithms:

ln(b)^a=a*ln(b)\\\\ln(e)=1

Then, you get this result:

0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2

7 0
4 years ago
1.<br> Find the slope of the line.<br> Ay<br> a) -574<br> b) 5/4<br> c) -4/5<br> d) 4/5
maria [59]

Answer:

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Slope is fundamentally rise/run; The points on the line are relative to each other by decreasing/increasing the y-value of +/-5 and decreasing/increasing the x-value by +/-4

The function is decreasing so the slope has to be negative.

The only possible answer choice is -5/4 or a.

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