Answer:
x= 10 and y= -1
Step-by-step explanation:
Rewrite your second equation Y= -2x+ 19 then plug it into the first equation.
x- (-2x + 19) = 11
x + 2x - 19 =11
3x - 19 = 11
3x = 30
x = 10
The plug that answer into the first equation and solve.
10 - y = 11
-y = 1
y = -1
Answer:
the equation would be b. y=2x-3.
Answer:
Step-by-step explanation:
Start with the given inequality and solve it for x.
First, add 4 to both sides: 5x > 25
Next, divide both sides by 5: x > 5
The solution (set) is x > 5.
Answer:
Quantity A because it changes with gravitational pull.
Explanation:
Mass defines the constitutive matter of an object. It is immutable (does not change). Although it could be converted into energy, the matter is constant.
On the other hand, the weight of an object (gravitational force) depends on the acceleration due to gravity.
That is why an astronaut weighs about three times more on earth than on Mars. The gravitational acceleration on Mars is about one third that on earth.
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Answer:
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Step-by-step explanation:
The applicable derivative formula is ...
d(u/v) = (v·du -u·dv)/v²
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f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²
f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
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Similarly, the second derivative is the derivative of f'(x).
f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴
f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
