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3 years ago

What is the solution to the system that is created by the equation y=-x+6 and the graph shown below

Mathematics

2 answers:

Setler79 [48]3 years ago

6 0

If you draw the graph of y = -x + 6 on the above graph the solution to system will be the coordinates of the point of intersection.
the equation of the line drawn above is y = 0.5x

so you can also find the solution by solving the system
y = 0.5x
y = -x + 6

0.5x = -x + 6
1.5x = 6
x = 6/1.5 = 4

and y = 0.5*4 = 2

The answer is (4, 2) - the third choice.

Anna007 [38]3 years ago

3 0

If you were to plot the function y=-x+6, both functions meet at the point (4,2)

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DedPeter [7]

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2 years ago

The perimeter of a rectangular plot is 36 metres. The length is 6 metres more than the width. What is the area of the rectangula

Dmitry_Shevchenko [17]

Answer:

72 m^2

Step-by-step explanation:

Perimeter = 36

Length + width = 18

w + w + 6 = 18

2w + 6 = 18

2w = 12

w = 6

Length + 6 = 18

Length = 12

Area = 6 * 12 = 72 m^2

8 0

2 years ago

Ian puts 300.00 into an account to use for school expenses the account earns 6%interest compounded annually how much will be in

romanna [79]

This problem is about componded interest. The formula for compounded interest is:

$\begin{gathered} \text{Amount}=\text{Initial}\cdot(1+r)^t \\ \text{Where,} \\ \text{Amount is the total acumulative at time t.} \\ \text{Initial is the initial amount, at t=0} \\ r\text{ is the interest in decimal number.} \\ t\text{ is the time accordingly the interest, in this case is in years.} \end{gathered}$

In this case, Initial = 300, r = 0.06 and t=10 so the total amount in the account after 10 years is:

$\begin{gathered} \text{Amount}=300\cdot(1+0.06)^{10} \\ \text{Amount}=300\cdot1.06^{10} \\ \text{Amount}=300\cdot1.79085 \\ \text{Amount}=537.255 \end{gathered}$

The amount after 10 years is 573.26.

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8 months ago

I need help someone can help me

Alex Ar [27]

Answer:

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Step-by-step explanation:

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2 years ago

Question 4