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aalyn [17]
3 years ago
13

Use the two points whose coordinates are shown to find the​ point-slope form of the equation of the line that models the percent

age of adults on​ diets, y, x years after 1987.
Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0
Because there's no picture provided, I can just give two points in order to formulate the equation using the point-slope formula. The x is in years while the y is in percentage. Suppose point 1 is (2, 35) and point 2 is (7,80).

Point Slope Formula: y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)
Substituting,

y - 35 = [(80 - 35)/(7 - 2)](x - 2)
y - 35 = 9(x - 2)
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Brian completed 34 free throws and missed 16.
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sue stacked one box onto another. the bottom had the height of 2 1/3 feet and the top box had the height of 3 2/3 feet. how tall
Scilla [17]
Height of bottom box : - 2  \frac{1}{3} => 7/3
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Thus, height of two boxes =

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Happy to help chodini!
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3 years ago
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A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. A
Naddik [55]

Answer:

Initial bacterias = 6006000

Altought I believe is safe to assume that the values were 192,000 and 384,000 instead of 192,192,000 and 384,384,000, in that case the initial bacterias is 6000

Step-by-step explanation:

A exponential growth follows this formula:

Bacterias  = C*rⁿ

C the initial amount

r the growth rate

n the number of time intervals

Bacterias (55 hours) = 192,192,000

Bacterias (66 hours) = 384,384,000

Bacterias(55hours)=C*r^{{\frac{55-t}{t}}} \\Bacterias (66hours) = C*r^{\frac{66-t}{t}}}

If you divide both you can get the growth rate:

\frac{Bacterias (66hours)}{Bacterias(55hours)}=\frac{C*r^{\frac{66-t}{t}}}{C*r^{{\frac{55-t}{t}}}} \\\frac{384,384,000}{192,192,000} =r^{\frac{66-t}{t} -\frac{55-t}{t} } \\2 =r^{\frac{11}{t}}

So with that r = 2 and each time interval correspond to 11 years

Then replacing in one you can get the initial amount of C

Bacterias (55hours)=C*2^{\frac{55-11}{11} } 192,192,000 = C*32\\C= 6006000

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