a. Which pair of equations best models the relationship between c and a?
c = a − 5
c = a + 3
a = c + 5
a = 3c − 3
a = c − 5
a = 3c + 3
c = a + 5
c = a − 3
The pair of equations best models the relationship between c and a is option D : c = a + 5, c = a - 3
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given conditions are;
c is 5 more than variable a.
( c = a + 5)
c is also three less than variable a.
(c = a - 3)
Now, lets look at the answer choices,
c = a − 5
c = a + 3
Here, c is 5 less than "a". so it will be automatically disqualified.
a = c + 5
a = 3c − 3
So,
Simplified version :
c = a - 5
Here, c is 5 less than "a"..so it will be automatically disqualified.
a = c − 5
a = 3c + 3
Here also, we have to get "c" by itself in both top and bottom equation.
So,
Simplified version:
c = a + 5
Here, c is 5 more than "a"
c = (a - 3) / 3
thus, c is 3 less than "a" divided by 3 . So, this is not correct.
c = a + 5
c = a − 3
Here, c is 5 more than "A"
Also, c is 3 less than "a"
So, Which satisfies the given.
So, our answer is going to be the option D :
c = a + 5
c = a - 3
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Answer:
Step-by-step explanation:
Given is a graph with more than 2 periods shown. The wave represents that it is the sine function.
From the graph we find that the graph gets its maximum at y=-2 and minimum at y =-6
Hence range =[-6,-2]
Amplitude = 2
There is no x intercept but y intercept =-4
Hence the possible equation would be
y = 2sin(bx+k)-4
for some real b and k
Since sine max value is 1, we have
Maximum value is 2-4 =-2
Hello from MrBillDoesMath!
Answer:
y = -2
Discussion:
From the graph the maximum value or "highest point" on the function appears to be
y = -2
Thank you,
MrB