the second 3 (from the left) is in the hundreds place so we look at the 1st 7 (from the left) to determine how to round
since 7 is 5 or greater, we round the 3 to a 4
3400
Choice D
Answer:
A
Step-by-step explanation:
X is less than -7 because the open circle indicates that x is not -7
Answer: Choice A) 12x^2 - 48x + 21; all real numbers
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Work Shown:
(f * g)(x) = f(x) * g(x)
(f * g)(x) = ( f(x) ) * ( g(x) )
(f * g)(x) = ( -2x+7 ) * ( -6x+3 )
(f * g)(x) = -2x*( -6x+3 ) + 7*( -6x+3 )
(f * g)(x) = -2x*(-6x) - 2x*(3) + 7*(-6x) + 7*(3)
(f * g)(x) = 12x^2 - 6x - 42x + 21
(f * g)(x) = 12x^2 - 48x + 21
The domain is the set of all real numbers because we can plug in any number in for x, to get some output for y. There are no issues to worry about such as division by zero errors, square root of a negative number, etc.
The volume of a sphere is 4/3 * pi * r³ so substitute the values in
4/3 * pi * 2³
4/3 * pi * 8
32/3 * pi
The volume is either 32/3pi units³ or 33.49 units³ (they're the same value)
I hope this helps!