Answer:
After 5 hours the two would charge the same amount of money.
Step-by-step explanation:
Designer A: $450 + ($105/hr)x, where x is the number of hours worked;
Designer B: $725 + ($50/hr)x
Equating these two formulas, we get:
$450 + ($105/hr)x = $725 + ($50/hr)x
Subtracting $450 from both sides: ($55/hr)x = $275
Dividing both sides by $55 yields the number of hours worked:
x = $275/$55 = 5
After 5 hours the two would charge the same amount of money.
Answer:
y=x\\
x=y^{2} + 12y\\
y^{2} + 12y -x = 0\\
Delta = (12^{2}) - 4.1.(-x) = 144 +4X = 36.(4+x)
\sqrt{Delta} = 6 . \sqrt{(4+x)} \\
y' = \frac{-12 + 6.(\sqrt{(4+x)}}{2} = -6 + 3.\sqrt{(4+x)}\\
y" = -6 - 3.\sqrt{(4+x)}\\\\
y' = 3.\sqrt{(4+x)} - 6\\
y''= -3.\sqrt{(4+x)} - 6\\
Answer:
c
Step-by-step explanation:
ive done this before and passed
Answer:
B. 30
Step-by-step explanation:
The mosaic tile has a trapezoidal shape, so that its area can be determined as follows;
Area of a trapezium = 
(a + b)h
where: a and b represent the length of its plane sides, and h is the height.
Area of a mosaic tile = (4 + 6) 4
= 10 x 2
Area of a mosaic tile = 20 square inches.
But, Dan wants to cover a 600 square inch area.
So that the number of tiles needed = 
= 30
The number of mosaic tiles needed by Dan is 30.
