4 years ago

Find the x-and y-intercept of the equation 5x+3y=15

Mathematics

1 answer:

OLEGan [10]4 years ago

6 0

The x-intercept is (3,0). The y-intercept is (0,5).

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Levart [38]

Given:

The given function is:

$Y(t)=25e^{3t}+12$

Where Y represents the number of bacteria present at time t minutes.

To find:

The time taken by bacteria population to reach 100 bacteria.

Solution:

We have,

$Y(t)=25e^{3t}+12$

Putting $Y(t)=100$ , we get

$100=25e^{3t}+12$

$100-12=25e^{3t}$

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Divide both sides by 25.

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Taking ln on both sides, we get

$\ln (\dfrac{88}{25})=\ln e^{3t}$

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Divide both sides by 3.

$\dfrac{1}{3}\ln(\dfrac{88}{25})=t$

Therefore, the required time is $\dfrac{1}{3}\ln(\dfrac{88}{25})$ minutes.

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3 years ago

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Korvikt [17]

Answer:

y+3=2*(x+1)

Step-by-step explanation:

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Tatiana wrote the steps that are commonly used to solve a system of equations with two variables. Which steps are correct? Check

Ede4ka [16]

These ones are correct:
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