MathAlgebraQ&A Libraryd py (b) For what value of x is the area largest? (c) What is the maximum area? R is 44. Enclosing a Rectangular Field Beth has 3000 feet of fenc- ing available to enclose a rectangular field. revenue? (a) Express the area A of the rectangle as a function of x where x is the length of the rectangle. (b) For what value of x is the area largest? (c) What is the maximum area? sold of a 45. Enclosing the Most Area with a Fence A farmer with 4000 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along member, the river, what is the largest area that can be enclosed? (See the figure.) he maxi- belay lo naximize le 0.5 VIpes sold of a douA S2 X m 4000-2x ne maxi- mize rev- 46. Enclosing the Most Area with a Fence A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can sold of a be enclosed? 7 47. Analyzing the Motion of a Projectile A projectile is fired from a cliff 200 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 50 feet per sec- ond. The height h of the projectile above the water is given by he maxi- -32x2 mize rev- + x + 200 h(x) (50)2 ahere x is the horizontal distance of the projectile from the sold of a base of the cliff. (a) How far from the base of the cliff is the height of the projectile a maximum?

Question

I need help with number 46

Tagged in

Math

Algebra

Find answers to questions asked by students like you.

Q: Can you show me how to do this?

A: We find the slope of the given line first. Slope = -1/7

Q: I am working on homework involving matrices and the simplex method and I am not sure how to perform ...

A: Refer to the question, using the simplex table we have to explain the pivoting element and then form...

Q: The current in a river is 2 miles per hour. A small boat can travel 32 miles upstream and then 24 mi...

A: Given the speed of current as 2 miles/hour. Distance covered in 6 hours by boat in upstream is 32 mi...

Q: How to factor f(x)= 5x^4+3x^2-2 so you can get the zeros of the function

A: We have to write 3x^2 as 5x^2-2x^2.

Q: Use the given graph to evalute the following expressions. (a) (f+g)(-2) (b) (f-g)(-1) (c) (fg)(0) (d...

A: Use the given graph to evalute the following expressions.(a) (f+g)(-2)(b) (f-g)(-1)(c) (fg)(0)(d) (f...

Q: What would be the linear equations for the functions, & what would be the graphs?

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: How do I find the domain of fractions?Here is my current problem I'm having trouble understanding.Wh...

A: Given,

Q: 2 Determine (a) the volume and (b) the surface area of the three-dimensional figure. Use the « butto...

A: Click to see the answer

Q: Sketch the graph of the quadratic function f(x)=-2x2+6x-3. On the graph, show the values of x and y ...

A: The given function is

Q: Use the relationship between rise and run to find the slope of a line from its graph Question Find t...

A: Consider the given graph, the line passing through the points (–1, 4) and (–5, –3).

Q: Given the function defined by f(x) = 3x - x2, evaluate and simply each of the following: f(-3)

A: Given,

Q: A typical pH value for rain or snow in the northeastern United States is about 4.2. Is this basic or...

A: Given that the pH of snow or rain is 4.0

Q: A motorboat traveling with the current went 140 mi in 5 h. Traveling against the current, it took 7 ...

A: To determine the speed of current and speed of boat.

Q: Two investments earn an annual income of $681. One investment earns an annual simple interest rate o...

A: Let 8.9% interest has $x And 6.9% interest has $(9000-x)Since total amount is 9000

Q: factor x3+x2-3

A: Click to see the answer

Q: The width of a rectangular cardboard is 10 inches longer than its width. Squares of 2 inches on a si...

A: Let the width of the rectangular cardboard be ‘a’.According to the question, the length is 10 inches...

Q: Graph y = − 1/9 x + 2

A: The given function is,

Q: write the rational exrpession in lowest term. y2-2y-15/y2-6y-27

A: Consider the given expression

Q: How would I graph # 15&16

A: Click to see the answer

Q: 25a2-40a+12

A: Given,

Q: Use synthetic division to decide whether the given number k is a zero of the polynomial function. If...

A: Use synthetic division to decide whether the given number k is a zero of the polynomial function. If...

Q: Write the standard form of the equation of the circle that has its center at (4, -3) with the point ...

A: Click to see the answer

Q: 4=2v-14

A: The given equation is,

Q: It takes 20 cubic feet of concrete make a 80 square foot patio. How many cubic yards of concrete doe...

A: Given,20 cubic feet of concrete make 80 square foot patio.

Q: Find the summation of #26.

A: Consider the given expression.

Q: Find an equation of the line L that passes through the point (−2, 6) and satisfies the given condit...

A: Given, The line L that passes through the point (−2, 6).Since, L is perpendicular to the ...

Q: There is one value of x for which the equation y = (3)/(x-5) has no ordered-pair solution. What is...

A: To determine the value of x, for which equation has no ordered pair.

Q: Solve the system by substitution -x-y= 0.1 -3x+6y= 4.8

A: Given, -x-y= 0.1 (i) -3x+6y= 4.8 (ii)

Q: F(x)= x4 + 13x2 + 36 find the complex zeros

A: Click to see the answer

Q: In the expression below, a is an integer. 12x2 + ax -20 If 3x +4 is a factor of the expression abo...

A: 3x+4 is a factor so by factor theorem ,3x+4=0x= -4/3 is a zero of the equation.

Q: If g(t)= -5t2 , evaluate g((1/5)t)

A: The given function is,

Q: Can you please help with the following problem: f(x)=x+1/x^2+x-20 a. Find the x and y intercepts b...

A: As per our policy I am solving only 1st three subparts and for the subparts please post the question...

Q: Find an equation of the line passing through the point (−1, 9) and parallel to the line joining the ...

A: Given:The required line passes through the point (–1,9) and parallel to the line joining the points ...

Q: Simplify radical expression: where numerator is 17 and denominator is the expression square root of...

A: It is given that radical expression is

Q: You have a wire that is 80 cm long. You wish to cut it into two pieces. One piece will be bent into ...

A: It is given that the wire is 80 cm long.Let 2πx be the circumference of the circle.

Q: 1/3(6x+9) with the commutative property I get the equation 1/3(6x) + 1/3(9) How do you simplify this...

A: A binary operation is said to be commutative if changing the order of the operands does not change t...

Q: I need help with number 42

A: Given,

Q: 1. Write the scientific notation (10") a. 0.0012 = b. 560000 Write out the number c. 5.3 x 104= d. 7...

A: a). Given

Q: Solve the system of linear equations using the Gauss-Jordan elimination method. (If there is no solu...

A: Consider argument matrix and convert it into Jordan form as follows.

Q: 74.) Find the equation of the line parallel to the line y=-8 and passing through the midpoint of seg...

A: Given a line y = -8 and a line segment formed by joining points (-4, 2) and (-2, 8).

Q: 5x2-2x+1

A: Consider the given quadratic equation

Q: Find all the zeros, real and nonreal, of the polynomial and use that information to express p(x) as ...

A: Given polynomial is

Q: Determine if the function is even, odd or neither f(x) = x4 - x2 + 2

A: We plug -x in place of x and find f(-x) and simplify.

Q: Solve for m. D=5/4(m-33)

A: The given equation is

Q: An object is thrown downward, with an initial speed of 16 ft/s, from the top of a building 192 ft hi...

A: Click to see the answer

Q: 4 3 5x Given the equation x + 2x a. List all possible rational roots. b. Use synthetic division to t...

A: List all the possible rational roots of the polynomial equation .

Q: what is 5+5

A: Given,

Q: Fill in the blank with the greatest digit that makes the statement true 9|505_1

A: If a number is divisible by 9 then the sum of its digits should also be divisible by 9.

Q: Algebraically find the age of the tree when the height of the cherry tree is 25 feet using Y2 Y2=5.8...

A: The given equation is y2 = 5.81+6.20lnx.Let x be the age of the tree and y2 be the height of the tre...

Q: The smallest angle of a triangle is 2 degrees more than 1/4 of the largest angle. The middle angle i...

A: Let the largest angle be x.