We have that
x²<span> + 7x + c
</span><span>Group
terms that contain the same variable
</span>(x² + 7x )+ c
<span>Complete
the square. Remember to balance the equation
</span>(x² + 7x+3.5² )+ c-3.5²
Rewrite as perfect squares
(x+3.5)²+ c-3.5²
so
c-3.5² must be zero
c-3.5²=0------- c=3.5²------> c=12.25
the answer isthe value of c must be 12.25
Answer:
B
Step-by-step explanation:
THis is a single equation with a single variable [y].
We can separate the variable in one side and the numbers to another and solve for y. Shown below:
3y + 4 = -2
3y = -2 - 4
3y = -6
y = -6/3
y = -2
THus, this equation has only 1 solution. B is correct
Answer:

Step-by-step explanation:
i hope this helps
The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
<h3>How to factor the polynomial?</h3>
The expression is given as:
2x^2 + 4x + 3xy + 6y
Group the expression into two
[2x^2 + 4x] + [3xy + 6y]
Factor out each group
2x(x + 2) + 3y(x + 2)
Factor out x + 2
(2x + 3y)(x + 2)
Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
Read more about factored expression at:
brainly.com/question/723406
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Answer:
15 girls, 10 boys
Step-by-step explanation:
Since the ratio is 3:2, then the ratio can be rewritten as 15:10. So there are 15 girls and 10 boys