Answer:
No they're not equivalent
Step-by-step explanation:
5(x - 9) + 2x -1 -5(9 - x) - 2x
5x - 45 + 2x - 1 5x - 45 - 2x
7x + 46 does not equal 3x - 45
Explaining isnt my specialty, sorry
Answer:
Slope = -5/8
Step-by-step explanation:
Take 2 points from the graph where the line is. Point 1: (1 , 6). Point 2: (9 , 1).
We are going to use the formula for finding the slope of a line now.
y2 - y1/x2 - x1 = 1 - 6/9 - 1 = -5/8
Slope = -5/8
<span> divide a polynomial p(x) by (x-3). Add and subtract the multiple of (x-3) that has the same highest-power term as p(x), then simplify to get a smaller-degree polynomial r(x) plus multiple of (x-3). </span>
<span>The multiple of (x-3) that has x^4 as its leading term is x^3(x-3) = x^4 - 3x^3. So write: </span>
<span>x^4 + 7 = x^4 + 7 + x^3(x - 3) - x^3(x - 3) </span>
<span>= x^4 + 7 + x^3(x - 3) - x^4 + 3x^3 </span>
<span>= x^3(x - 3) + 3x^3 + 7 </span>
<span>That makes r(x) = 3x^3 + 7. Do the same thing to reduce r(x) by adding/subtracting 3x^2(x - 3) = 3x^3 - 9x^2: </span>
<span>= x^3(x - 3) + 3x^3 + 7 + 3x^2(x - 3) - (3x^3 - 9x^2) </span>
<span>= x^3(x - 3) + 3x^2(x - 3) + 9x^2 + 7 </span>
<span>Again to reduce 9x^2 + 7: </span>
<span>= x^3(x - 3) + 3x^2(x - 3) + 9x^2 + 7 + 9x(x - 3) - (9x^2 - 27x) </span>
<span>= x^3(x - 3) + 3x^2(x - 3) + 9x(x - 3) + 27x + 7 </span>
<span>And finally write 27x + 7 as 27(x - 3) + 88; </span>
<span>x^4 + 7 = x^3(x - 3) + 3x^2(x - 3) + 9x(x - 3) + 27(x - 3) + 88 </span>
<span>Factor out (x - 3) in all but the +88 term: </span>
<span>x^4 + 7 = (x - 3)(x^3 + 3x^2 + 9x + 27) + 88 </span>
<span>That means that: </span>
<span>(x^4 + 7) / (x - 3) = x^3 + 3x^2 + 9x + 27 with a remainder of 88</span>
9514 1404 393
Answer:
h ≤ 6 2/3
Step-by-step explanation:
The inequality is presumed to be ...
15h +40 ≤ 140
15h ≤ 100
h ≤ 6 2/3
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The graph shows h ≥ 0, because the inequality is only reasonable for h ≥ 0.
9(5)+8=53
All you have to do is plug 5 in for x
