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Answer:
The equation of the straight line is 3y - 2x = - 31
Step-by-step explanation:
The equation of the given line is 3y - 12 = - 2(5 - x)
⇒ 3y - 2x = 2 ......... (1)
Now, equation of straight line parallel to equation (1), will be
3y - 2x = c ........... (2)
Now, we have to determine c.
If equation (2) passes through point (14,-1), then
3(- 1) - 2( 14) = c
⇒ c = - 31
Hence, the equation of the straight line is 3y - 2x = - 31 (Answer).
Answer:
2x + 1.
Step-by-step explanation:
y=x^2 + x + 1
Using the algebraic derivative rule, if y = ax^n then y' = anx^(n-1) :
The derivative is 2x^(2 - 1) + 1x^(1-1)
= 2x^1 + x^0
= 2x + 1.
Answer:
x = 3
Step-by-step explanation:
Simplifying
8 + -3x = 14 + -5x
Solving
8 + -3x = 14 + -5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5x' to each side of the equation.
8 + -3x + 5x = 14 + -5x + 5x
Combine like terms: -3x + 5x = 2x
8 + 2x = 14 + -5x + 5x
Combine like terms: -5x + 5x = 0
8 + 2x = 14 + 0
8 + 2x = 14
Add '-8' to each side of the equation.
8 + -8 + 2x = 14 + -8
Combine like terms: 8 + -8 = 0
0 + 2x = 14 + -8
2x = 14 + -8
Combine like terms: 14 + -8 = 6
2x = 6
Divide each side by '2'.
x = 3