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fenix001 [56]
3 years ago
14

3x^2-x-2 by x+4 using synthetic division

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0
3x - 13 + 50 over x + 4 is yor answer
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B and C make sense to me.
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Oliver climbed 222 meters of a steep mountain reach the summit. He then rappelled down the other side of the mountain to return
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In addition, be aware that the question is asking you an integer to represent a situation, not the answer of where Oliver is. 

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Which graph represents the solution set to the system of inequalities?
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Read 2 more answers
14. Find the slope of a line parallel to 3y - 6x = 9. (Lesson 3-4)
DanielleElmas [232]

\bf 3y-6x=9\implies 3y=6x+9\implies y=\cfrac{6x+9}{3}\implies y = \cfrac{6x}{3}+\cfrac{9}{3} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{2}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

a parallel line to that one above, will have the same exact slope, since parallel lines have the same slope.

4 0
3 years ago
Find an equation of the parabola y = ax2 + bx + c that passes through (0, 1) and is tangent to the line y = 4x − 4 at (1, 0).
larisa86 [58]
We are given the following:
          - parabola passes to both (1,0) and (0,1) 
<span>          - slope at x = 1 is 4 from the equation of the tangent line </span>

<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>

<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1 
<span>0 = a + b + 1
a + b = -1 </span>

<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the  equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b 
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b 
<span>4 = 2a + b </span>

So, we have two equations and  two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1 
</span><span>
Solving simultaneously,
a = 5 </span>
<span>b = -6</span>

<span>Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .</span>
6 0
3 years ago
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