Answer:
962
Step-by-step explanation:
Answer:
The easiest way is to round down to 40 and take 50% of that, which is 20. The actual answer is 20.5.
Step-by-step explanation:
Yes. 1 and 1/4 lb is the same as 20oz (1lb=16oz), therefore your package is enough to cover the use of the soup recipe
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.
Answer:
Statement 1 and 2
Step-by-step explanation:
If you take t^2 - 16t + 55 and find some of its graphical values, you will get:
Turning point: (8,-9)
Roots: (5,0) and (11,0)
When this graph is plotted and you imagine the x axis to be time (as stated in the question), each of the roots (x - intercept) must be when the swimmer goes under and when they come back up.
This means that the swimmer dived under the water at 5 seconds and came back up at 9, making the first 2 statements correct.
Now the fourth statement is ruled out.
The fifth statement is not plausible as the graph would have to have more than 2 roots for the swimmer to enter the water twice.
That leaves the third statement. If you imagine the depth of the swimmer to be the y axis of our imaginary graph, and we know that the y axis of the turning point is -9, that means that the swimmer's deepest dive was 9 feet under the water, ruling out the third statement too.
Hope this helps :D
