Answer:
D
Step-by-step explanation:
So, let's say that we have the following equation:
And we want to complete the square.
What we need to do is to divide the coefficient of x by half. Square that. Then add that number to both sides.
The answer that reflects this is choice D.
For instance if we have:
Divide 4 by 2 and then square it.
4/2 is 2. 2²=4. Add 4 to both sides. Thus:
And now, we can complete the square:
Answer:
He completed 13 courses worth 3 credits and 5 courses worth 4 credits.
Step-by-step explanation:
Let
Number of courses worth 3 credits = x
Number of courses worth 4 credits = y
1. The student completed a total of 18 courses, then
2. The student earned a total of 59 credits, he earned 3x on 3 credits' courses and 4y on 4 credits' courses, so
3. You get the system of two equations:
From the first equation
Substitute it into the second equation:
He completed 13 courses worth 3 credits and 5 courses worth 4 credits.
Answer:
(1)
(2)
(3)
Step-by-step explanation:
Given functions f(x) = (4x-1)
are
(1)
(2) for , rewrite the function g(x) in terms of an equation
Substitute y in place of x and x in place of y, then solve for y.
(3y-1)x = 2y+1
3xy - x = 2y + 1
3xy - 2y = x + 1
y(3x-2) = x + 1
⇒
(3)
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