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Tanya [424]
3 years ago
11

Solve for x. - 30 – 5x - 1) + 7 = - 110

Mathematics
1 answer:
ololo11 [35]3 years ago
5 0

Answer:

x =  \frac{86}{5}   = 17 \frac{1}{5}  = 17.2

Step-by-step explanation:

( - 30 - 5x - 1) + 7 =  - 110

( - 31 - 5x) + 7 =  - 110

- 31 - 5x + 7 =  - 110

- 24 - 5x =  - 110

- 5x =  - 110 + 24

- 5x =  - 86

\boxed{\green{x =  \frac{86}{5}   = 17 \frac{1}{5}  = 17.2}}

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the polynomial 3x+5 is divided by x+2 what is the quotient, pls be quick im taking a algebra progress check due in 25 min
il63 [147K]

Answer:

The quotient of the rational function is 3 -\frac{1}{x+2}.

Step-by-step explanation:

We proceed to solve the expression by solely algebraic means below:

1) \frac{3\cdot x + 5}{x+2} Given

2) \frac{(3\cdot x + 5) + 0}{x + 2} Modulative property

3) \frac{(3\cdot x +5) + [1+(-1)]}{x+2} Existence of additive inverse/Associative property

4) \frac{(3\cdot x + 6)+(-1)}{x+2} Definition of addition/Commutative and associative properties

5) \frac{3\cdot (x+2)}{x+2} + \left(-\frac{1}{x+2} \right)   \frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}/ \frac{-a}{b} = \frac{a}{-b} = -\frac{a}{b}/Distributive property

6) 3 -\frac{1}{x+2} Definition of division/Existence of multiplicative inverse/Modulative property/Definition of subtraction/Result

The quotient of the rational function is 3 -\frac{1}{x+2}.

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