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iogann1982 [59]
3 years ago
9

To adopt a dog from an animal shelter, you must pay $90 for vaccinations, $75 to spay or neuter the dog, and $40 for a wellness

exam by a veterinarian.
a. Write an expression in simplest form that represents the amount (in dollars) it costs to adopt x
dogs.
An expression is () dollars.
Mathematics
1 answer:
Elden [556K]3 years ago
6 0
( $90+$75+$40 ) = x
  ^u^

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Find a particular solution to y" - y' + 9y = 3 sin 3x
Dima020 [189]

Answer:

cos3x

Step-by-step explanation:

y" - y' + 9y = 3 sin 3x

D^{2}y-Dy+9y=3 sin3x

y=\frac{3 sin 3x}{(D^{2} -D+9}=3 sin 3x

here D^2 will be replaced by  \alpha^2 where \alpha is coefficient of x

y=\frac{3 sin 3x}{-3^{2} -D+9}

y=-3\frac{sin 3x}{D}

y=-3\int\ {sin 3x} \, dx

y=-3\frac{cos3x}{-3}

y=cos3x

hence Particular solution is cos3x

6 0
3 years ago
On a coordinate plane, line K L goes through (negative 6, 8) and (6, 0). Point M is at (negative 4, negative 2). Which point cou
erica [24]

Answer:

The point that lies on the line parallel to line KL would be ( 8, - 10 )

Step-by-step explanation:

Line KL passes through the points ( - 6, 8 ) and ( 6, 0 ) while it's respective parallel line passes through point M, ( - 4, - 2 ).

Our approach here is to first determine the slope of KL such that the slope of it's parallel line will be the same, and hence we can determine a second point on this line.

Slope of KL : ( y₂ - y₁ ) / ( x₂ - x₁ ),

( 0 - 8 ) / ( 6 - ( - 6 ) ) = - 8 / 6 + 6 = - 8 / 12 = - 2 / 3

Slope of respective Parallel line : - 2 / 3,

Another point on Parallel line : ( 8, - 10 )

How can we check if this point really belongs to the parallel line? Let's take the slope given the points ( - 4, - 2 ) and ( 8, - 10 ), and check if it is - 2 / 3.

( y₂ - y₁ ) / ( x₂ - x₁ ),

( - 10 - ( - 2 ) ) / ( 8 - ( - 4 ) ) = ( - 10 + 2 ) / ( 8 + 4 ) = - 8 / 12 = - 2 / 3

And therefore we can confirm that this point belongs to line KL's parallel line, that passes through point M.

8 0
3 years ago
Read 2 more answers
A circle is divided into 3 equal parts. What is the total angle measure of 1 part?
fenix001 [56]

Answer:

120 degrees each

Step-by-step explanation:

360 degress divided by 3 = 120

4 0
3 years ago
-4(x+3)=8 show work please
Nadusha1986 [10]

Answer:

x = -5

Step-by-step explanation:

-4(x+3)=8

(-4)(x)+(-4)(3)=8 (distribute)

-4x - 12 = 8

-4x - 12 + 12 = 8 + 12

-4x = 20

-4x/-4 = 20/-4 =

x = -5

-Elaina <3

4 0
3 years ago
Find the value of 7p – 3q when p= 8 and q = -5
EastWind [94]

Step-by-step explanation:

7p – 3q

if p= 8 and q = -5

7(8)-3(-5)

56+15

=71

5 0
2 years ago
Read 2 more answers
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