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satela [25.4K]
3 years ago
12

Hayden is growing bacteria in two different solutions. Both populations start with a single bacteria. She records the number of

bacteria in each solution every hour.
The population in solution A is modeled by the sequence An=22n, where n is the number of hours.

The population in solution B is modeled by the sequence B0=1, Bn=Bn−1+4, where n is the number of hours.

Are the sequences An and Bn functions? Why or why not?
Mathematics
1 answer:
Tanya [424]3 years ago
4 0
They are functions because they have the variables
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A. 3x-2y=-12<br> B.2x-3y=-12<br> C.3x+2y=12<br> D.3x+3y=-12
Nikolay [14]

Answer:

C

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-6}{4-0} = \frac{-6}{4} = - \frac{3}{2} , then

y = - \frac{3}{2} x + c

the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - \frac{3}{2} x + 6 ← equation in slope- intercept form

multiply through by 2 to clear the fraction

2y = - 3x + 12 ( add 3x to both sides )

3x + 2y = 12 ← equation in standard form

4 0
2 years ago
Read 2 more answers
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