Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)
Answer:
160
Step-by-step explanation:
Plug in 6 for r, and 8 for s in the expression:
(r)(s) + (14)(s) = (6)(8) + (14)(8)
Remember to follow PEMDAS. First, multiply, then add:
(6 * 8) + (14 * 8)
48 + 112
112 + 48 = 160
160 is your answer.
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The mode is 2.4 idk the rest