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PilotLPTM [1.2K]

3 years ago

9

Austin can eat 3 doughnuts per minute. Equation for that would be: d=3m. Jose ate donuts at the following rate : 2:4 4:8 6:12. W

ho can eat more doughnuts per minute?

2 answers:

musickatia [10]3 years ago

7 0

I think Austin bc the rate says Jose eats two doughnuts in four minutes and Austin eats three in one

Oxana [17]3 years ago

6 0

Jose can eat more doghnuts because austin eats 3 a minute and jose eats 2 at a time

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All steps for: x/x-2 + x-1/x+1= -1

lorasvet [3.4K]

Answer:

$\large\boxed{x=0\ \vee\ x=1}$

Step-by-step explanation:

$Domain:\\\\x-2\neq0\ \wedge\ x+1\neq0\\\\x\neq2\ \wedge\ x\neq-1\\\\\boxed{D:\ x\in\mathbb{R}-\{-1,\ 2\}}\\\\=============================$

$\dfrac{x}{x-2}+\dfrac{x-1}{x+1}=-1\qquad\text{subtract}\ \dfrac{x-1}{x+1}\ \text{from both sides}\\\\\dfrac{x}{x-2}=-1-\dfrac{x-1}{x+1}\\\\\dfrac{x}{x-2}=\dfrac{-(x+1)}{x+1}+\dfrac{-(x-1)}{x+1}\\\\\dfrac{x}{x-2}=\dfrac{-(x+1)-(x-1)}{x+1}\\\\\dfrac{x}{x-2}=\dfrac{-x-1-x+1}{x+1}\\\\\dfrac{x}{x-2}=\dfrac{-2x}{x+1}\qquad\text{cross multiply}$

$x(x+1)=-2x(x-2)\qquad\text{use the distributive property}\\\\(x)(x)+(x)(1)=(-2x)(x)+(-2x)(-2)\\\\x^2+x=-2x^2+4x\qquad\text{add}\ 2x^2\ \text{to both sides}\\\\3x^2+x=4x\qquad\text{subtract 4x from both sides}\\\\3x^2-3x=0\qquad\text{distributive}\\\\3x(x-1)=0\iff 3x=0\ \vee\ x-1=0\\\\x=0\in D\ \vee\ x=1\in D$

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Find the equation of the line with the coordinates of (-5,-2) and (5,3)

velikii [3]

Answer

x - 2y = -1.

Step-by-step explanation:

Slope = (3 - (-2)) / (5 - (-5))

= 5/10

= 1/2

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

Here m = 1/2 and (x1, y1) = (5, 3):

y - 3 = 1/2(x - 5)

y - 3 = 1/2x - 5/2

y = 1/2x - 5/2 + 6/2

y = 1/2x + 1/2

Removing the fractions:

2y = x + 1

in standard form this is

x - 2y = -1

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