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<span>x+<span>(x+2)</span>+<span>(x+4)</span>=48</span>
3x+6=48
Minus 6 to both sides
<span>3x=42</span>
Divide 3 to both sides
<span>x=14</span>
Get the next two integers
<span>x,x+2,x+4 or 14,16,<span>18 = 48 is you Answer</span></span>
Answer:
10
Step-by-step explanation:
P(black socks): 24/42 or 12/21
P(black socks without replacing): 23/41. As a result, the probability of randomly picking 2 black socks, without replacement, from the basket is 12/21×23/41=276/861 or 32%. Hope it help!
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
Answer:
0.35
Step-by-step explanation:
Divide 35 by 100 and you get 0.35
