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ikadub [295]
2 years ago
14

Which expression is equivalent to t+3+5 - 2t?

Mathematics
1 answer:
Shtirlitz [24]2 years ago
4 0

Answer:

B. -t+8

Step-by-step explanation:

add t to -2t and add 3 and 5

You might be interested in
determine the point of intersection of the following pair of lines ............2x-3y-4=-13 and 5x=-2y+25. 3x+2y-7=0 and 2x=12-5y
grandymaker [24]

Answer:

  1. (x, y) = (3, 5)
  2. (x, y) = (1, 2)

Step-by-step explanation:

A nice graphing calculator app makes these trivially simple. (See the first two attachments.) It is available for phones, tablets, and as a web page.

__

The usual methods of solving a system of equations involve <em>elimination</em> or <em>substitution</em>.

There is another method that is relatively easy to use. It is a variation of "Cramer's Rule" and is fully equivalent to <em>elimination</em>. It makes use of a formula applied to the equation coefficients. The pattern of coefficients in the formula, and the formula itself are shown in the third attachment. I like this when the coefficient numbers are "too messy" for elimination or substitution to be used easily. It makes use of the equations in standard form.

_____

1. In standard form, your equations are ...

  • 2x -3y = -9
  • 5x +2y = 25

Then the solution is ...

  x=\dfrac{-3(25)-(2)(-9)}{-3(5)-(2)(2)}=\dfrac{-57}{-19}=3\\\\y=\dfrac{-9(5)-(25)(2)}{-19}=\dfrac{-95}{-19}=5\\\\(x,y)=(3,5)

__

2. In standard form, your equations are ...

  • 3x +2y = 7
  • 2x +5y = 12

Then the solution is ...

  x=\dfrac{2(12)-5(7)}{2(2)-5(3)}=\dfrac{-11}{-11}=1\\\\y=\dfrac{7(2)-12(3)}{-11}=\dfrac{-22}{-11}=2\\\\(x,y)=(1,2)

_____

<em>Note on Cramer's Rule</em>

The equation you will see for Cramer's Rule applied to a system of 2 equations in 2 unknowns will have the terms in numerator and denominator swapped: ec-bf, for example, instead of bf-ec. This effectively multiplies both numerator and denominator by -1, so has no effect on the result.

The reason for writing the formula in the fashion shown here is that it makes the pattern of multiplications and subtractions easier to remember. Often, you can do the math in your head. This is the method taught by "Vedic maths" and/or "Singapore math." Those teaching methods tend to place more emphasis on mental arithmetic than we do in the US.

7 0
3 years ago
mike had $572.18 in his checking account. after writing a check, he had $434.68. which of the following equations could be used
Vitek1552 [10]

<u><em>$572.18 - $434.68 = $137.5, therefore $137.5 is the amount of the check.</em></u>

6 0
3 years ago
Convert the following equation to slope-intercept form to graph: 7x – y = –3 A. B. C. D.
svetlana [45]
The answer is y=3+7x i think not sure
4 0
3 years ago
Julio is a junior ranger at the Rocky Mountain National Forest. It is his job to inform a group of middle school student visitor
irinina [24]

Answer:

A, D, E

Step-by-step explanation:

Sorry for being late

3 0
2 years ago
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Why is .3 repeating a rational number
Murrr4er [49]
Because it can be written as a fraction 1/3
4 0
3 years ago
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