Let: x = number of copies sold
We can formulate the following equation to solve for x:
1.50x - 0.9x - 600 = 0
x = 1000
Therefore, the club must sell 1000 copies to break even. Among the choices, the correct answer is A.
Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given

The derivative is

(a) The slope of the tangent line at (1,0) is


(b) The equation of the tangent line can be found with the general formula of the line:

Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus

Or, equivalently

Answer:
A. h(x)= -5.86x^2 + 23.37x + 34
Step-by-step explanation:
If the scientist uses the same amount of pesticide on the two farms then the x's of the functions are the same.
Then, the combined yield
of the two farms is just the yield of the first farm plus the yield of the second farm:
.
Now, since

and
,
then

we add the coefficients of the corresponding terms to get:


Which is choice A.
Answer:
D. 15 cm, 9 cm, 24 cm
Step-by-step explanation:
The three lengths that could be the lengths of the sides of a triangle, must satisfy the following condition;
---sum of any two smaller sides chosen must be equal to the third side.
Test option A : 6 cm + 11 cm = 17 cm ( 17 cm ≠ 23 cm)
Test option B: 10 cm + 15 cm = 25 cm (25 cm ≠ 24 cm)
Test option C: 6 cm + 6 cm = 12 cm (12 cm ≠ 22 cm)
Test option D: 15 cm + 9 cm = 24 cm (24 cm = 24 cm) ---correct option.
Thus, the three lengths that could be the lengths of the sides of a triangle are 15 cm, 9 cm, and 24 cm
<h3>
Answer is 4.1</h3>
To get this answer, multiply 0.05 by 82
The 0.05 is the decimal form of 5%
You move the decimal point 2 spots to the left to go from percent form to decimal form.