9514 1404 393
Answer:
2(x+1)
Step-by-step explanation:
x . . . I think of a number
x +1 . . . add 1
2(x +1) . . . double the result
25,830
First do prime factorization on 42 that is 5*3*3
82 that is 41*2
63 that is 3*3*7
then you do the number that appears the most like 3*3 is the most for the 3
2*3*3*5*7*41
2*3=6*3=18*5=90*7=630*41=25,830
To conclude the answer is 25,830
9514 1404 393
Answer:

Step-by-step explanation:
A lot of math is about matching patterns.
For example, ...
g(x) = f(x -h) +k
means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).
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In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).
The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.
f(x) = √x
g(x) = f(x+6) +4
g(x) = √(x+6) +4 . . . . . . matches choice D
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* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for <em>right 6 units</em>, so h=-6 for <em>left 6 units</em>. Then x-h = x-(-6) = x+6.
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<em>Comment on the graph</em>
I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).
Answer:
99 people is the answer
Step-by-step explanation:
.48 x 208 = 99
To calculate g, we use the formula F= mg. F is given as 180N, and m is given as 30 kg, therefore:
180N = (30kg)(g)
g = 6 m.s-1.
The motion of this object would be decreased on Earth as more force would be required to lift it. If we assume g is 9.8 m.s-1 on Earth, we can calculate the force required.
F = mg
= (30kg)(9.8 m.s-1)
= 294 N