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Leno4ka [110]
3 years ago
9

Solve this system of equations by graphing. First graph the equations, and then type the solution. y=3x–2 y= – x+6 Click to sele

ct points on the graph. The solution is , .
Mathematics
1 answer:
labwork [276]3 years ago
5 0

Answer:

(2 , 4)

Step-by-step explanation:

set 3x-2 = -x + 6

4x = 8

x = 2

3(2) - 2 = 4

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The family of functions y = ce^{-2x} + e^{-x} is solution of the equation y' + 2y = e^{-x}. Find the constant c which defines th
Rufina [12.5K]

Answer:

c = 1190.2

Step-by-step explanation:

We have the following solution:

y(x) = ce^{-2x} + e^{-x}

We want to find the value of x that satisfies the following condition:

y(3) = 3.

This means that when x = 3, y = 3. So

y(x) = ce^{-2x} + e^{-x}

y(3) = ce^{-2*3} + e^{-3}

3 = ce^{-6} + e^{-3}

3 = ce^{-6} + 0.0498

ce^{-6} = 2.9502

c = \frac{2.9502}{e^{-6}}

c = 1190.2

4 0
3 years ago
The area of a square dollhouse is 289 square inches. How long is each side of the dollhouse?
EastWind [94]

Answer:

17

Step-by-step explanation:

8 0
3 years ago
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(English to algebra) twice K results in three times the sum of k plus one
babymother [125]

i believe its 2k= 3(k+1)

8 0
4 years ago
Drag steps of the solution into order to solve for x in the equation 9(x + 3) = 108.
Marat540 [252]

Answer:

Given expression is,

9(x+3) = 108

In solving the equation the steps are as follows,

Step 1 : 9x + 27 = 108      ( By distributive property )

Step 2 : 9x = 81               ( Subtracting 108 on both sides )

Step 3 : x = 9                   ( Divide both sides by 9)

Hence, by the above explanation we can drag the steps of solution in correct order.

3 0
3 years ago
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You need to write 0.63 as a fraction. How do you choose the denominator?
Tamiku [17]
I would use 100 as the denominator because it can not be simplified as a whole number
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