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2 years ago

Find the exact solution to the equation. 4(12-3x) = 64 What is the solution?

Mathematics

1 answer:

Igoryamba2 years ago

4 0

Answer:

x = -4/3

Step-by-step explanation:

4(12 - 3x) = 64

open the parenthesis

4 * 12 - 4 * 3x = 64

48 - 12x = 64

subtract 48 from both sides

48 - 48 - 12x = 64 - 48

-12x = 64 - 48

-12x = 16

divide both sides by -12

12x/-12 = 16/-12

x = 16/-12

x = -4/3

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2 years ago

A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

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Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

3 0

3 years ago

Find the zero(s) of each function algebraically. f(x) = 8x-16

vodomira [7]

the zero(s) of function $f(x)=8x-16$ is x=2

Step-by-step explanation:

We need to find the zero(s) of function algebraically.

We are given: $f(x)=8x-16$

To find the zeros we put the function equal to zero.

$8x-16=0\\Solving:\\8x=16\\x=\frac{16}{8}\\x=2$

So, the zero(s) of function $f(x)=8x-16$ is x=2

Keywords: zero(s) of function

Learn more about zero(s) of function at:

#learnwithBrainly

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3 years ago

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Dima020 [189]

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3 years ago

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Marrrta [24]

Answer:

5 units.

Step-by-step explanation:

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3 years ago

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