Question 6: Simplify the expression 48-5+7X3О А 16O B 64O C 150O D 22
2 answers:
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The correct answer is: 9 + c = 12
Further explanation:
Given
c = number of babies whose eyes are closed
So,
If the total number of babies are 12 then the sum of babies with eyes closed and eyes opened should be equal to 12.
As c is the number of babies with eyes closed and 9 is the number of babies with eyes opened then,
The equation can be used to find the number of babies whose eyes are open
Three babies have their eyes closed in the photograph.
Keywords: Linear equations, Word problems
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In the given equation, as the value of <em>y</em> increase, the value of <em>x</em> also
increases.
- Yes, 4·y = 16·x is a direct variation
Reasons:
A direct variation is a relationship that exists between two variables. It is
also known as a direct proportion which can be expressed as; y = k·x
Where <em>k</em> is a number
The given equation is 4·y = 16·x
Dividing both sides by 4 gives;
Which gives;
y = 4·x
Comparing the above equation with the equation for a direct variation gives;
y = 4·x
y = k·x
Therefore;
k = 4
The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.
Learn more about direct variation here:
First, note that 
is always positive (except for x=0), so 
must be always negative.
Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.
Now, and are only defined for x≥0, because only for these x'es we can take the square root.
Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.
Answer: first graph
Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.
Now,
Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.
Answer: first graph