I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
Note that when dividing, and the base is the same, you can subtract the power signs.
(5^5)/(5^2) = 5^(5 - 2)
5 - 2 = 3
5^3 = a^b
Simplify.
5^3 = 5 x 5 x 5
5 x 5 x 5 = 125
c = 125
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125 is your answer
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hope this helps
Answer:
42
Step-by-step explanation:
3x^2 +5x
Let x=3
3(3)^2 +5(3)
3*9 +15
27+15
42
