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Pie
3 years ago
7

Solve the following system of equations: 4x+5y=23 -3x-7y=-14

Mathematics
1 answer:
Korvikt [17]3 years ago
5 0
Basically you're solving for both variables here.
I prefer elimination method so that is what I used.
I started off by multiplying each equation in order to get one of the variables at the same value so it would be possible to cancel it out.
Multiplying the first equation by 3 gave me,
12x + 15y = 69
Then I multiplied the second equation by 4,
-12x + 28y = -56
As you can see, it's not possible to cancel out the x variable.
12x + 15y = 69
+(-12x + 28y = -56)
_____________
13y = 13
Then just solve for y which gives you -1.
After you have one variable solved simply insert it into one of the original equations to find the other variable.
4x + 5(-1) = 23
4x - 5 = 23
4x = 28
x = 7.
And there you have it! Hope this helped!

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39 is 60% of 65.
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3 years ago
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Sergio [31]

Just subtract 100 - 50 and you get x = 50

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A sequence can be defined by the explicit formula <img src="https://tex.z-dn.net/?f=a_n%3D5-3_n" id="TexFormula1" title="a_n=5-3
astra-53 [7]
<h2>Answer:</h2>

Option: C is the correct answer.

            C.  a_n=a_{n-1}-3\ ;\ a_1=2

<h2>Step-by-step explanation:</h2>

The sequence is given by the explicit formula as:

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Also, the first term of the sequence is: a_1

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a_1=5-3\times 1\\\\i.e.\\\\a_1=5-3\\\\i.e.\\\\a_1=2

Also,

a_n=5-3n\\\\i.e.\\\\a_n=5-3n+3-3\\\\i.e.\\\\a_n=5-3(n-1)-3\\\\i.e.\\\\a_n=a_{n-1}-3

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3 0
3 years ago
What is the value of 36x - 8y² when x = 3 and y = -6?
Rainbow [258]

Answer:

-108

Step-by-step explanation:

36x - 8y² when x = 3 and y = -6

8x=108

=8x(-6)(-6)

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=8x36

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-<u>  288</u>

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6 0
4 years ago
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Vlada [557]

Answer:

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To get the number of spacecraft that would fit between earth and moon <em>divide the distance by the length of the spacecraft</em>.

When 1.2\times10^{9} is divided by 360 the quotient will be 3,333,333 and the remainder will be 120.

It means 3,333,333 Apollo 11 spacecraft will fit between earth and moon but still 120 feet will remain and no more spacecraft can completely fit in it.

6 0
3 years ago
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