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3 years ago

Plot the x- and y-intercepts to graph the equation

Mathematics

1 answer:

Irina18 [472]3 years ago

4 0

Answer:

The y-intercept point would be on the -5 of the y-axis while the x-intercept would be on the -5 of the x-axis.

hope this helps :)

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Answer:

fast as heck 0.o (i think 170

Step-by-step explanation:

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The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate

Veronika [31]

It takes 8.35 hours for the size of the sample to double

Step-by-step explanation:

The form of the continuous exponential growth model is

$A=Pe^{rt}$ , where

A is the new value
P is the initial value
r is the rate of growth or decay in decimal
t is the time

∵ The growth rate is 8.3%

∴ r = 8.3 ÷ 100 = 0.083

∵ The size of the sample will doubled in t hours

∴ A = 2 P

Use the formula of the contentious exponential growth above

∵ $2P=Pe^{0.083t}$

- Divide both sides by P

∴ $2=e^{0.083t}$

- Insert ㏑ in both sides

∴ $ln(2)=ln(e^{0.083t})$

- Remember $ln(e^{n})=n$ because ㏑(e) = 1

∴ $ln(2)=0.083t$

- Divide both sides by 0.083

∴ $\frac{ln(2)}{0.083}=t$

∴ t = 8.35 hours to the nearest hundredth

It takes 8.35 hours for the size of the sample to double

Learn more:

You can learn more about the logarithmic function in brainly.com/question/1447265

#LearnwithBrainly

4 0

4 years ago

A system of linear equations is graphed.

marysya [2.9K]

Answer: B

Step-by-step explanation:

It cant be A or C since the intersection does not touch the y axis and it isn't D since it is closer to -4 than -4 1/2

3 0

3 years ago

What is the value of x in the equation ?

zheka24 [161]

Answer:

$x=2$

Step-by-step explanation:

This is our equation

$2.5\left(6x-4\right)=10+4\left(1.5+0.5x\right)$

First off we can distribute the 2.5 and the 4

Now our equation is $15x-10=10+6+2x$

subtract $2x$ from both sides

$13x-10=16$

add $10$ to both sides

$13x=26$

Divide both sides by $13$

$x=2$

5 0

3 years ago