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lana66690 [7]
2 years ago
11

Combine like terms to create an equivalent expression.

Mathematics
2 answers:
Alja [10]2 years ago
8 0

Answer:

2/3q + 7/12

Step-by-step explanation:

Find common Denominator

Common Denominator 12, 6, 3 =  12

Convert Each Term To Have Common Denominator

11/12 - 2/12q + 10/12q - 4/12

Combine Like Terms

11/12 - 4/12 = 7/12

-2/12q + 10/12q = 8/12q → 2/3q

Write Equation

2/3q + 7/12

sladkih [1.3K]2 years ago
6 0

Answer:

7/12+4/6q

Step-by-step explanation:

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Find a set of parametric equations for y= 5x + 11, given the parameter t= 2 – x
Sati [7]

Answer:

x = 2-t and y = -5\cdot t +21

Step-by-step explanation:

Given that y = 5\cdot x + 11 and t = 2-x, the parametric equations are obtained by algebraic means:

1) t = 2-x Given

2) y = 5\cdot x +11 Given

3) y = 5\cdot (x\cdot 1)+11 Associative and modulative properties

4) y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11 Existence of multiplicative inverse/Commutative property

5) y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11 Associative property

6) y = -5\cdot (-x)+11  \frac{a}{-b} = -\frac{a}{b} / (-1)\cdot a = -a

7) y = -5\cdot (-x+0)+11 Modulative property

8) y = -5\cdot [-x + 2 + (-2)]+11 Existence of additive inverse

9) y = -5 \cdot [(2-x)+(-2)]+11 Associative and commutative properties

10) y = (-5)\cdot (2-x) + (-5)\cdot (-2) +11 Distributive property

11) y = (-5)\cdot (2-x) +21 (-a)\cdot (-b) = a\cdot b

12) y = (-5)\cdot t +21 By 1)

13) y = -5\cdot t +21 (-a)\cdot b = -a \cdot b/Result

14) t+x = (2-x)+x Compatibility with addition

15) t +(-t) +x = (2-x)+x +(-t) Compatibility with addition

16) [t+(-t)]+x= 2 + [x+(-x)]+(-t) Associative property

17) 0+x = (2 + 0) +(-t) Associative property

18) x = 2-t Associative and commutative properties/Definition of subtraction/Result

In consequence, the right answer is x = 2-t and y = -5\cdot t +21.

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2 years ago
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vovangra [49]

Answer:

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Step-by-step explanation:

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