A farmer with 650 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to o
ne side of the rectangle. What is the largest possible total area of the four pens? (a) Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so, estimate it. (b) Draw a diagram illustrating the general situation. Let x denote the length of each of two sides and three dividers. Let y denote the length of the other two sides. (c) Write an expression for the total area A in terms of both x and y. (d) Use the given information to write an equation that relates the variables. (e) Use part (d) to write the total area as a function of one variable. (f) Finish solving the problem by finding the largest area.
1 answer:
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Answer:
40320 ways
Step-by-step explanation:
Given
Members = 8
Required
Number of ways they can be selected
Since, the order does not matter;
They can be selected in 8! ways
<em>Hence, there are 40320 ways which the director can select them for the concert</em>
Answer:
(x - 3)² - 16 = 0
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Subtract 7 from both sides
x² - 6x + 7 = 0 ← in standard form
with a = 1, b = - 6
Given a quadratic in standard form then the x- coordinate of the vertex is
= -
= -
= 3
Substitute x = 3 into the equation for y
y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)
y = (x - 3)² - 16 = 0
Answer:
72.033 ft
Step-by-step explanation:
To find this, let us set up a fraction. Since 18.47 = 1 second, y = is 3.9 seconds. Let "y" be the variable.
Step 1: Switch sides
Step 2: Apply rule:
Step 3: Multiply both sides by
Step 4: Simplify
The bear can run 72.033 feet in 3.9 seconds