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Assoli18 [71]
2 years ago
5

The Video Rental Club charges a $5 monthly fee and $2.00 charge for each

Mathematics
1 answer:
kenny6666 [7]2 years ago
8 0

Answer:

C=2v+5

Step-by-step explanation:

C=2v+5

I got this because its 2 dollars PER video plus 5 a month

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The resquest of the y'+6y=e^4t, y(0)=2
kotegsom [21]
This is a linear differential equation of first order. Solve this by integrating the coefficient of the y term and then raising e to the integrated coefficient to find the integrating factor, i.e. the integrating factor for this problem is e^(6x). 
<span>Multiplying both sides of the equation by the integrating factor: </span>

<span>(y')e^(6x) + 6ye^(6x) = e^(12x) </span>

<span>The left side is the derivative of ye^(6x), hence </span>

<span>d/dx[ye^(6x)] = e^(12x) </span>

<span>Integrating </span>

<span>ye^(6x) = (1/12)e^(12x) + c where c is a constant </span>

<span>y = (1/12)e^(6x) + ce^(-6x) </span>

<span>Use the initial condition y(0)=-8 to find c: </span>

<span>-8 = (1/12) + c </span>
<span>c=-97/12 </span>

<span>Hence </span>

<span>y = (1/12)e^(6x) - (97/12)e^(-6x)</span>
7 0
3 years ago
Holly decided to share 1/2 of her share of the pizza with Deb. How much did each of them actually?
Whitepunk [10]
They shared half each 

8 0
3 years ago
Read 2 more answers
Suppose g is the function g(x) = 2^x and g : {1, 2, 3} -&gt;{1, 2, 4, 8}
Mashutka [201]

Answer:

Step-by-step explanation:

Given that g is a function from g : {1, 2, 3} ->{1, 2, 4, 8}

by the function

g(x) = 2^x

i.e. we have g(1) =2\\g(2) = 4\\g(3) =8

Range = {2,4,8} Since there is an extra element 1 in the co domain which is not in range , g is not on to

But g is one to one as 1,2,3 have different images.

4 0
3 years ago
Consider a parabola P that is congruent to y=x^2, opens upward, and has vertex (0,0). Find the equation of a new parabola that r
slega [8]

9514 1404 393

Answer:

  y = -(x+1)^2 +3

Step-by-step explanation:

Translating f(x) left by 1 unit replaces x with x+1.

Translating f(x) up by 3 units replaces f(x) with f(x)+3.

Reflecting f(x) over the x-axis replaces f(x) with -f(x).

__

When y = x^2 is reflected over the x-axis, it becomes ...

  y = -x^2

When y = -x^2 is translated 1 unit left, it becomes ...

  y = -(x +1)^2

When y = -(x+1)^2 is translated 3 units up, it becomes ...

  y = -(x +1)^2 +3

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2 years ago
Three boxes have a total weight of 510 pounds. box a weighs twice as much as box
soldi70 [24.7K]
Work shown above! Box a is 240 lbs Box b is 120 and Box c is 150 lbs hope this helps c:

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