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Leto [7]
3 years ago
5

What is the solution to the system of equations? 5x-3y=-9 2x-5y=4 (___,___)

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0
\left \{ {{5x-3y=-9\ \ | *(-2)} \atop {2x-5y=4\ \ | *5}} \right. \\\\ \left \{ {{-10x+6y=18} \atop {10x-25y=20}} \right. \\\\+---\\addition\ method\\\\
-19y=38\ \ \ | divide\ by\ -19\\
y=-2\\\\2x=4+5y\ \ \ | divide\ by\ 2\\\\
x=\frac{4+5y}{2}=\frac{4+5*(-2)}{2}=\frac{4-10}{2}=\frac{-6}{2}=-3\\\\Solution:\\ \left \{ {{y=-2} \atop {x=-3}} \right.
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Find the average value of the function f(t)=(t-2)^2 on [0,6]
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Answer:

2

Step-by-step explanation:

The "average value of function f(x) on interval [a, b] is given by:

                      f(b) - f(a)

ave. value = ---------------

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Here f(t)=(t-2)^2.

Thus, f(b) = (b - 2)^2.  For b = 6, we get:

          f(6) = 6^2 - 4(6) + 4, or f(6) = 36 - 24 + 4 = 16

For a = 0, we get:

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Plugging these results into the ave. value function shown above, we get:

                      16 - 4

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The average value of the function f(t)=(t-2)^2 on [0,6] is 2.


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Diane keeps all of her toys on a shelf. The shelf is 24" long and 7" wide. If the wdith the shelf is doubled, what would happen
goblinko [34]

Step-by-step explanation:

Given that,

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So, the new area becomes 336 inch² i.e. twice the initial area.

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Step-by-step explanation:

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