X^3+3x^2+5x+8/x+1
multiply the whole equation by x
x^4+3x^3+5x^2+8+1x
x^4+3x^3+5x^2+x+8
factor out by parts
(x^2-0.641604x+1.33244)(x^2+3.6416x+6.00403)

4 0

2 years ago

Through (-1,4) and a perpendicular to 4y-2x=12

mart [117]

Answer:

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-\text{slope}\\b-\text{y-intercept}\\\\\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\\text{then}\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2$

$\text{We have the equation of a line in the standard form:}\ Ax+By=C.\\\\\text{Convert to the slope-intercept form:}\\\\4y-2x=12\qquad\text{add}\ 2x\ \text{to the both sides}\\\\4y-2x+2x=2x+12\\\\4y=2x+12\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{2x}{4}+\dfrac{12}{4}\\\\y=\dfrac{1}{2}x+3\to\boxed{m_1=\dfrac{1}{2}}$

$\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{Put the value of the slope and the coordinates of the given point (-1, 4)}\\\text{to the equation of a line:}\\\\4=-2(-1)+b\\\\4=2+b\qquad\text{subtract 2 from the both sides}\\\\4-2=2-2+b\\\\2=b\to b=2\\\\\bold{FINALLY:}\ y=-2x+2$

$\text{Convert to the standard form:}\\\\y=-2x+2\qquad\text{add}\ 2x\ \text{to the both sides}\\\\y+2x=-2x+2x+2\\\\2x+y=2$

4 0

3 years ago

A farmer can harvest 54 pounds of corn from each acre in his

vfiekz [6]

Answer:

675 pounds

Step-by-step explanation:

12.5 multiplied by 54 He gets 54 pounds from one acre and he has 12.5 acres so each acre is 54 pounds.

3 0

3 years ago