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damaskus [11]
3 years ago
9

Write a function rule for your bacterium in the table where h is the number of hours, and b(h) is the bacterium at h hours.

Mathematics
1 answer:
djyliett [7]3 years ago
5 0

Answer:

  b(h) = 4^h

Step-by-step explanation:

The ratio of counts from one hour to the next is 4/1 = 16/4 = 64/16 ... = 4. The count at h=0 is 1, so that is the multiplier of the exponential term.

  b(x) = 1×4^h

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Suppose Yakov is the only seller in the market for bottled water and Rajiv is the only seller
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Which table correctly classifies the numbers 12−−√ and −63?
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Step-by-step explanation:

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3 years ago
A line goes through the points (-6, -8) and (12, 7). a) What is the slope of the line? Show your work. b) Write the equation of
kompoz [17]

m = \frac{5}{6} , y - 7 = \frac{5}{6} ( x - 12), y = \frac{5}{6} x - 3

(a) calculate the slope using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂) = (12, 7)

m = \frac{7+8}{12+6} = \frac{15}{18} = \frac{5}{6}

(b) the equation of a line in point-slope form is

y - b = m(x - a )

where m is the slope and (a, b) a point on the line

using m = \frac{5}{6} and (a , b) = (12, 7 )

y - 7 = \frac{5}{6} (x - 12)

(c) the equation of a line in slope-intercept form is

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

rearrange (b ) into this form

y - 7 = \frac{5}{6} - 10

y = \frac{5}{6} x - 3


3 0
4 years ago
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