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ra1l [238]
3 years ago
11

A population of bacteria is growing according to the equation P ( t ) = 1050e^0.16t .

Mathematics
1 answer:
horsena [70]3 years ago
4 0

Answer:

t must be greater than 5.0

Step-by-step explanation:

P ( t ) = 1050e^0.16t

We want P(t) > 2337

2337 <  1050e^0.16t

Divide each side by 1050

2337/1050<  1050/1050 e^0.16t

Take the natural log of each side

ln (2337/1050)) < ln(e^0.16t )

ln (2337/1050) < 0.16t

Divide by .16

ln (2337/1050)/.16 < 0.16/.16t

ln (2337/1050)/.16 < t

5.00049<t

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X +5+11x=12x+Y It says find the value of y that makes each equation true for all values of
sladkih [1.3K]
X + 5 + 11x = 12x + y

Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)

Subtract 12x from each side makes each zero.

5 = y

So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82

x = 10, y = 5
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x = 82, y = 5
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So we verified y = 5
3 0
3 years ago
What is the inverse of the function f(x) = 2x - 10?
aliya0001 [1]

Answer:

h(x) = \frac{1}{2} x+ 5

Step-by-step explanation:

To find the inverse of a function, simply switch the 'x' and 'y' variables. Substitute in 'y' in the place of f(x) for this purpose:

y = 2x - 10

Switch positions:

x = 2y - 10

Add '10' to both sides to begin simplifying:

x + 10 = 2y

Divide both sides by 2:

y= \frac{x+10}{2}

This can be rewritten as:

y = \frac{1}{2} x+ 5

Therefore, the inverse of the function is:

h(x) = \frac{1}{2} x+ 5

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3 years ago
Which problem is solved using this model?
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Correct I’ll give brainlist no links or I’ll report
Vera_Pavlovna [14]

Answer:

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Step-by-step explanation:

Start with y = mx + b, the slope-intercept equation.  Replace m with 8, x with 7 and y with -8:

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y = 8x - 64

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3 years ago
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2 years ago
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