3 years ago

Which system of equations has infinitely many solutions?

Mathematics

1 answer:

erik [133]3 years ago

4 0

Answer:

Step-by-step explanation:

ìť ìś the 2ńď òñè

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The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing?

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Step-by-step explanation:

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3 years ago

2t + 1 + 6 + 4t = 55 show your work

Ivan

Combine like terms, 1+6 is 7 and 2t+4t is 6t. so 6t+7=55. get the t by itself by subtracting 7 from both sides. 6t=48, divide by 6. t=8

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3 years ago

Use the exponential growth model, A = A0 e^kt to show that the time is takes a population to double (to frow from A0 to 2 A0) is

ludmilkaskok [199]

Answer:

Proof below

Step-by-step explanation:

Exponential Grow Model

The equation to model some time dependant event as an exponential is

$A=A_oe^{kt}$

Where Ao is the initial value, k is a constant and t is the time. With the value of Ao and k, we can compute the value of A for any time

We are required to find the time when the population being modeled doubles from Ao to 2 Ao. We need to solve the equation

$2A_o=A_oe^{kt}$

Simplifying by Ao

$2=e^{kt}$

Taking logarithms in both sides

$ln2=lne^{kt}$

By properties of logarithms and since lne=1

$ln2=kt\cdot lne=kt$

Solving for t

$\displaystyle t=\frac{ln2}{k}$

Hence proven

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3 years ago