The car would travel 247.95 miles in 4 hours and 45 minutes
(x² + 4x - 45)/(x² + 10x + 9)
<span>
Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45
= (x² + 9x) - (5x + 45)
= x(x + 9) - 5(x + 9)
= (x + 9)(x - 5)
<span>
Denominator = D = x² + 10x + 9 </span>
= x² + x + 9x + 9
= (x² + x) + (9x + 9)
= x(x + 1) + 9(x + 1)
= (x + 1)(x + 9)
<span>
Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9)
= (x - 5)/(x + 1)
<span>
Restrictions : x ≠ - 1, x = 5 </span>
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I conclude that the sum will be even because any even number can be represented by 2n where n is a whole number
and even numbers are 2 apart, so
the sum of the first 15 are
2n+2(n+1)+2(n+2) etc until we get to 2(n+14)
we can undistribute the 2 from all of them and get
2(n+n+1+n+2...n+14)
and we are sure that whatever is in the parenthasees is a whole number because whole+whole=whole
therefor, the sum is even
if you did want to find the sum then
an=2n
the 15th even number is 30
the first is 2
S15=15(2+30)/2=15(32)/2=15(16)=240
which is even
Hi!
Your answer would be: D) Exactly 45
Reason being: $18,000 divided by $400 equals 45 lawn mowers.
Therefore, the answer is D, exactly 45.
Hope this helps!
Y = -1/2x - 6......u have a slope of -1/2....u have a y int of -6 or (0,-6)
the x int can be found by subbing in 0 for y and solving for x
0 = -1/2x - 6
1/2x = -6
x = -6 * 2
x = -12.....so ur x int is -12 or (-12,0)
so go ahead and plot ur intercepts.....(0,-6) and (-12,0)...well...u cant really plot ur x axis because ur graph is not big enough....so start at (0,-6)...and I know the slope is -1/2....and u would usually start at (-12,0)...but that is not on the graph....so start at (0.-6)....and go up 1 and to the left 2, plot that point....then up 1 and to the left 2...plot that point......u would eventually cross the x axis at (-12,0).
or u could just go to desmos....its a graphing calculator...and see for urself
