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2 years ago

5

Renee’s monthly cell phone bill depends on the number of minutes she uses the phone. Renee kept a record of her monthly bills in

the table below. Find the rate of change.

1 answer:

natita [175]2 years ago

5 0

Answer:

ok

Step-by-step explanation:

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Ryan found a pattern on the addition table . He shaded two diagonal lines that show his pattern. What is his pattern?

LenaWriter [7]

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The picture below shows a right-triangle-shaped charging stand for a gaming system: The side face of a charging stand is a right

mamaluj [8]

Answer:

AB = 8/ cos 60

Step-by-step explanation:

We want to find the hypotenuse AB

Since we have a right triangle

cos theta = adj/ hyp

cos 60 = 8/ AB

AB cos 60 = 8

AB = 8/ cos 60

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2 years ago

Jaxon’s mother spends more than 2 hours cleaning the house. The inequality x>2 represents the situation. Which graph represen

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2 years ago

Read 2 more answers

In Exercises 1 and 2, find the equilibrium solutions of the differential equation specified.1) dy/dt = (y + 3)/(1 - y)2) dy/dt =

Aleks [24]

Answer:

1. Equilibrium solution: y= -3

2. Equilibrium solution y= ±1.414

Step-by-step explanation:

Thinking process:

The equilibrium solution can only be derived when $\frac{dy}{dt} = 0$

1. Let's look at the first equation:

$\frac{dy}{dt} = \frac{(y+3)}{(1-y)}$

equating $\frac{dy}{dt} = 0$ to the expression $\frac{(y+3)}{(1-y)}$ gives

y + 3 = 0

y = -3

Therefore, the equilibrium solution occurs at y = -3

2. Let's look at the second solution:

$\frac{dy}{dy} = \frac{(t^{2}- 1) (y^{2}-2) }{y^{2}-4 }$

dividing each side by (t²-1) gives

1/(t²-1) $\frac{dy}{dt}$ = (y²-2)/ (y²-4)

factorizing the right hand side gives:

at equilibrium: $\frac{dy}{dt} = 0$ , then

y² - 2 = 0

solving for y gives y = ±√2

= ±1.414

5 0

2 years ago

Peter made custard every weekend. The more times he made custard, the more practice he gained. The time he took to make the same

nikitadnepr [17]

Answer: The below graph represents the given function.

Step-by-step explanation:

Here x represents the number of times he practice and f(x) represents the number of hours he take to make custard.

And, the given relation between f(x) and x is,

$f(x) = 2(0.6)^x$

Which is an exponential function,

That having y-intercept = (0,2)

But, does not having any x-intercept.

End behavior:

Since, 0.6 < 1

Therefore, the end behavior of the above function is,

$f(x)\rightarrow + \infty$ as $x\rightarrow -\infty$

$f(x)\rightarrow 0$ as $x\rightarrow \infty$

Thus, the above information we can plot the graph of the given function. (Shown below)

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2 years ago