Answer:
Step-by-step explanation:
Geometric sequence: ar^(n-1)
r= 1/3
27, 27*(1/3), 27*(1/3)² ......
Answer:ED=9, DF=9sqrt3, and EF=18
Step-by-step explanation:30-60-90 triangle, a:short, asqrt3:longer, 2a:longest
m∠E=60°
Answer:
<h2><u><em>
2x² +5x - 12</em></u></h2>
Step-by-step explanation:
(2x - 3) * (x + 4) =
2x² + 8x - 3x - 12 =
<u><em>2x² +5x - 12</em></u>
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.
Answer:
D
Step-by-step explanation:
If (x - 5) is a factor of P(x) then P(5) = 0 ← Factor theorem
Given
P(x) = x³ - 5x² - x + 5, then
P(5) = 5³ - 5(5)² - 5 + 5 = 125 - 125 - 5 + 5 = 0
Since P(5) = 0 then (x - 5) is a factor of P(x)