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melisa1 [442]
3 years ago
6

Find the domain of the graph

Mathematics
1 answer:
enot [183]3 years ago
3 0

Answer:

The domain should be on the x-axis.

I might be wrong.

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A rental truck cost $48 plus $0.40 per mile.
Natalija [7]
(a) If we let x be the number of miles and y be the total cost, the equation for relating the number of miles and the total cost would be,
                                y = 0.4x + 48

(b) If the rental cost is 60,
                               60 = 0.4x + 48
The value of x from the equation is 30.

(c) You may prepare the table of values by allowing x be any number and then solve for y until we arrive with an answer for y being equal to 60. 
3 0
3 years ago
A red kangaroo hops at an average speed of 20km per hour. How fast is this in meters per minute?
masya89 [10]

Answer:

333.3 meters per minute

Step-by-step explanation:

<u>The best way to solve this problem is using </u><u>dimensional anaysis</u><u>. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.</u>

\frac{20km}{1hr}

<u>We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.</u>

= \frac{20km}{1hr} *\frac{1000m}{1km} ...

<u>We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.</u>

= \frac{20km}{1hr} *\frac{1000m}{1km} * \frac{1hr}{60min}

<u>We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.</u>

= (20*1000*1)/(1*1*60) m/min

= 333.3 meters per minute

8 0
3 years ago
Consider the differential equation: xy′(x2+7)y=cos(x)+e3xy. Put the differential equation into the form: y′+p(x)y=g(x), determin
icang [17]

Answer:

Linear and non-homogeneous.

Step-by-step explanation:

We are given that

\frac{xy'}{(x^2+7)y}=cosx+\frac{e^{3x}}{y}

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).

We have also find type of differential equation.

y'=\frac{(x^2+7)y}{x}(cosx+\frac{e^{3x}}{y}}

y'=\frac{(x^2+7)cosx}{x}y+\frac{(x^2+7)e^{3x}}{x}

y'-\frac{cosx(x^2+7)}{x}y=\frac{e^{3x}(x^2+7)}{x}

It is linear differential equation because  this equation is of the form

y'+P(x)y=g(x)

Compare it with first order first degree linear differential equation

y'+P(x)y=g(x)

P(x)=-\frac{cosx (x^2+7)}{x},g(x)=\frac{e^{3x}(x^2+7)}{x}

\frac{dy}{dx}=\frac{(x^2+7)(ycosx+e^{3x})}{x}

Homogeneous equation

\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}

Degree of f and g are same.

f(x,y)=(x^2+7)(ycosx+e^{3x}),g(x,y)=x

Degree of f and g are not same .

Therefore, it is non- homogeneous .

Linear and non-homogeneous.

3 0
3 years ago
Kristin bought a pack of 12<br> pencils for $1.25. How<br> much was each pencil?????????????
gregori [183]

Answer:

$0.10/pencil

Step-by-step explanation:

Find the unit cost.  To do this, divide $1.25 by 12 pencils, obtaining:

 $1.25

---------------- = $0.1042/pencil, or (more logically) $0.10/pencil

12 pencils

5 0
3 years ago
Solve -9.4 ≥ 1.7 x + 4​
Firlakuza [10]

Answer:

if we are solving for x then it would be

x  ≤  − 7.88235294

:)

5 0
2 years ago
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