Answer:
D
Step-by-step explanation:
as we can easily see, the x-coordinates of all points increased by 7.
so, we need a solution with "x+7". that eliminates B and C.
with that transition (glide) the triangle moved to the right into the 4th quadrant.
and now, as a second step, it needs to move up, above the x-axis, into the 1st quadrant.
and that is a reflection across the x-axis.
a reflection across the y axis would bring it back into the 3rd quadrant, where it started.
so, it is D.
<span>The
graph of y against x in inverse proportion is a rectangular hyperbola
but I don't see at all how this knowledge/observation is any help in
solving the problem.
Inverse proportion means that as x doubles y will halve and the equation
is xy = k where k is some number. A good example of inverse proportion
is speed and time taken over some fixed distance. In this case x could
represent the speed (mph) and y the time (h) and then k is the distance
in miles.
Since we know y=3 when x=2 we have xy = 6. Now it's easy to see when x=6 y=1.</span>
10/24 - 9/24 + 20/24
= 21/24
=7/8
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
<span>Equation at the end of step 2 :</span> 6x2 - x - 4 = 0 <span>((2•3x2) - x) - 4 = 0
</span><span>Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 6x2-x-4</span>
The first term is, <span> <span>6x2</span> </span> its coefficient is <span> 6 </span>.
The middle term is, <span> -x </span> its coefficient is <span> -1 </span>.
The last term, "the constant", is <span> -4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -4 = -24</span>
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is <span> -1 </span>.
<span><span> -24 + 1 = -23</span><span> -12 + 2 = -10</span><span> -8 + 3 = -5</span><span> -6 + 4 = -2</span><span> -4 + 6 = 2</span><span> -3 + 8 = 5</span><span> -2 + 12 = 10</span><span> -1 + 24 = 23
</span></span>
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
<span>Equation at the end of step 2 :</span><span> 6x2 - x - 4 = 0 </span>
