42minutes:5hours in ratio form
2 answers:
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- First question:
Recall that and
for all
. So
For , we expect both
and
(i.e. the sine and cosine of any angle that lies in the first quadrant must be positive). By definition of absolute value,
if
.
So we have
making H the answer.
- Second question:
C is always true, because the inequality reduces to x > y.
option B) 3 pounds of beef is needed to make 6 times the recipe.
<u>Step-by-step explanation</u>:
<u>step 1 </u>:
Mitch used 14 pounds of beef = 34 liters of beef strogonoff
'x' pounds of beef = 1 liter of beef strogonoff
<u>step 2</u> :
Rate = No. of pounds / No. of liters
(14 pounds / 34 liters) = (x pounds / 1 liter)
x = 14/34
x = 0.412
1 liter of beef strogonoff = 0.412 pounds of beef
<u>step 3</u> :
To make 6 times the recipe = 6 0.412
= 2.5 pounds of beef ( approximately 3 pounds)
Yes it is a function. It passes the vertical line test. In other words, it is impossible to draw a single vertical line through more than one point on the V shaped graph. Any input leads to exactly one output.
The domain is the set of all real numbers. This is because we can plug in any x value leading to some specific y value. There are no holes or gaps or jumps to indicate we must restrict any given x value. The domain would not be the set of whole numbers only because values between the whole numbers (eg: decimal values like x = 2.75) work just fine.
The range is the set of y values such that y is either 0 or larger than 0. In short, the range is
. Notice how any point on the V shaped graph has a y coordinate that is either 0 or larger than 0. It is impossible to get a y value that is negative.
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In summary,
Yes it is a function
Domain: all real numbers
Range:
So the answer is choice B
The domain is the set of all real numbers. This is because we can plug in any x value leading to some specific y value. There are no holes or gaps or jumps to indicate we must restrict any given x value. The domain would not be the set of whole numbers only because values between the whole numbers (eg: decimal values like x = 2.75) work just fine.
The range is the set of y values such that y is either 0 or larger than 0. In short, the range is
--------------------------------------------------------------------
In summary,
Yes it is a function
Domain: all real numbers
Range:
So the answer is choice B