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loris [4]
3 years ago
6

What is the equation of the exponential graph shown? Please help :'(

Mathematics
2 answers:
shutvik [7]3 years ago
7 0
Exponential functions fit the template
y = a*b^x
where 'a' and b are fixed values

The value of 'a' is the y intercept. In this case, it is 100 since (0,100) is on the curve. This is the part where the graph crosses the y axis. So a = 100.

The value of b takes a bit of work to find. We'll plug a = 100, x = 1 and y = 50 into the equation shown above. Why x = 1 and y = 50 you might ask? Well the point (1,50) appears to be on the graph as well.

So plugging those three items into the equation leads to
y = a*b^x
50 = 100*b^1
50 = 100*b
50/100 = 100*b/100 ... divide both sides by 100
1/2 = b
b = 1/2 
b = 0.5

So the equation is y = 100*(1/2)^x which can be written as y = 100*(0.5)^x

The value of b = 1/2 = 0.5 indicates that we multiply each previous result by 1/2 = 0.5 to get the next result. This is another way of saying "divide each result by 2 to get the next"

Eg: 
100 ---> 50 ---> 25 etc
ladessa [460]3 years ago
3 0

Answer: f(x) = 100/(2ˣ) cause your points are (0, 100), (1, 50), (2, 25), and (3, 12.5) so it's decaying by half everytime the x-value gets bigger. The graph starts at 100 and decays by 1/2 everytime making the equation f(x) = 100/(2ˣ).

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In the regression equation, what does the letter "b" represent? Select one:
dedylja [7]

Answer:

b. The slope of the line

Step-by-step explanation:

To explain the question statement, first we view the pattern of regression of equation which is

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a represents the Y-intercept and depicts the value of dependent variable y when independent variable x=0. b represents the slope in the regression equation and interpreted as unit change in dependent variable Y due to unit change in independent variable X.

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3 years ago
Markita bought a roll of carpet that is 8.5 feet wide. The maximum area the carpet will cover is 136 square feet. What is the lo
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Answer:

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Step-by-step explanation:

In this situation, you are given the area and the width of the full carpet, furthermore, you must reverse the formula for area to find the length, as so:

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<em>l</em> = 136 ÷ 8.5

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I hope this was helpful!

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I need help with a math question but apparently everyone is dead today..
Gwar [14]
The answer is D. I’m assuming this is surface area so here’s my explanation:) ok so the area of the triangle is 6 (4x3 divided by 2) and when you add the other triangle that’s 12. Ok so we have 12 so far. Then the area of the bottom rectangle is 24 (3x8). Then the area of the side rectangle is 32 (4x8). THEN the top rectangle’s area is 40 (8x5). When you add the numbers up (12+24+32+40) you get 108! And of course dont forget the cm2. ( centimeters squared ). :) I hope this helps
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